start-ver=1.4 cd-journal=joma no-vol=192 cd-vols= no-issue=5 article-no= start-page=58 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2025 dt-pub=20250416 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The Intertwining Property for Laguerre Processes with a Fixed Parameter en-subtitle= kn-subtitle= en-abstract= kn-abstract=We investigate the intertwining of Laguerre processes of parameter α in different dimensions. We introduce a Feller kernel that depends on α and intertwines the α-Laguerre process in N + 1 dimensions and that in N dimensions. When α is a non-negative integer, the new kernel is interpreted in terms of the conditional distribution of the squared singular values: if the singular values of a unitarily invariant random matrix of order (N+α+1)×(N+1) are fixed, then the those of its (N+α) × N truncation matrix are given by the new kernel. en-copyright= kn-copyright= en-aut-name=BufetovAlexander I. en-aut-sei=Bufetov en-aut-mei=Alexander I. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KawamotoYosuke en-aut-sei=Kawamoto en-aut-mei=Yosuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Steklov Mathematical Institute of RAS kn-affil= affil-num=2 en-affil=Graduate School of Environmental, Life, Natural Science and Technology, Okayama University kn-affil= en-keyword=Random matrices kn-keyword=Random matrices en-keyword=Intertwining relation kn-keyword=Intertwining relation en-keyword=Interacting Brownian motions kn-keyword=Interacting Brownian motions END start-ver=1.4 cd-journal=joma no-vol=77 cd-vols= no-issue=2 article-no= start-page=449 end-page=482 dt-received= dt-revised= dt-accepted= dt-pub-year=2025 dt-pub=202504 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Period integrals (Givental's I-function) of Calabi–Yau hypersurface in CPN−1 as generating functions of intersection numbers on the moduli space of quasimaps en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we derive the generalized hypergeometric functions (period integrals) used in mirror computation of Calabi–Yau hypersurface in CPN−1 as generating functions of intersection numbers on the moduli space of quasimaps from CP1 with 2+1 marked points to CPN−1. en-copyright= kn-copyright= en-aut-name=JINZENJIMasao en-aut-sei=JINZENJI en-aut-mei=Masao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=MATSUZAKAKohki en-aut-sei=MATSUZAKA en-aut-mei=Kohki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Mathematics, Okayama University kn-affil= affil-num=2 en-affil=Faculty of Integrated Media, Ikueikan University kn-affil= en-keyword=generalized hypergeometric functions kn-keyword=generalized hypergeometric functions en-keyword=Givental's I-function kn-keyword=Givental's I-function en-keyword=moduli space of quasimaps kn-keyword=moduli space of quasimaps END start-ver=1.4 cd-journal=joma no-vol=2024 cd-vols= no-issue=12 article-no= start-page=135 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=20241217 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Elliptic virtual structure constants and generalizations of BCOV-Zinger formula to projective Fano hypersurfaces en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we propose a method for computing genus 1 Gromov-Witten invariants of Calabi-Yau and Fano projective hypersurfaces using the B-model. Our formalism is applicable to both Calabi-Yau and Fano cases. In the Calabi-Yau case, significant cancellation of terms within our formalism occurs, resulting in an alternative representation of the BCOV-Zinger formula for projective Calabi-Yau hypersurfaces. en-copyright= kn-copyright= en-aut-name=JinzenjiMasao en-aut-sei=Jinzenji en-aut-mei=Masao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KuwataKen en-aut-sei=Kuwata en-aut-mei=Ken kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Mathematics, Okayama University kn-affil= affil-num=2 en-affil=Department of General Education, National Institute of Technology, Kagawa College kn-affil= en-keyword=Nonperturbative Effects kn-keyword=Nonperturbative Effects en-keyword=String Duality kn-keyword=String Duality en-keyword=Topological Field Theories kn-keyword=Topological Field Theories en-keyword=Topological Strings kn-keyword=Topological Strings END start-ver=1.4 cd-journal=joma no-vol=67 cd-vols= no-issue=1 article-no= start-page=133 end-page=147 dt-received= dt-revised= dt-accepted= dt-pub-year=2025 dt-pub=202501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Tsetlin library on p-colored permutations and q-analogue en-subtitle= kn-subtitle= en-abstract= kn-abstract=K. Brown [1] studied the random to top shuffle (the Tsetlin libary) by semigroup method. In this paper, (i) we extend his results to the colored permutation groups, and (ii) we consider a q-analogue of Tsetlin library which is different from what is studied in [1]. In (i), the results also extends those results for the top to random shuffle [4],[5], [6] to arbitrary distribution of choosing cards, but we still have derangement numbers in the multiplicity of each eigenvalues. In (ii), a version of q-analogue of derangement numbers by Chen-Rota [3] appears in the multiplicity of eigenvalues. en-copyright= kn-copyright= en-aut-name=NakagawaYuto en-aut-sei=Nakagawa en-aut-mei=Yuto kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=NakanoFumihiko en-aut-sei=Nakano en-aut-mei=Fumihiko kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Mathematical Institute, Tohoku University kn-affil= affil-num=2 en-affil=Mathematical Institute, Tohoku University kn-affil= en-keyword=Tsetlin library kn-keyword=Tsetlin library en-keyword=Left Regular Band kn-keyword=Left Regular Band en-keyword=colored permutation group kn-keyword=colored permutation group END start-ver=1.4 cd-journal=joma no-vol=67 cd-vols= no-issue=1 article-no= start-page=101 end-page=131 dt-received= dt-revised= dt-accepted= dt-pub-year=2025 dt-pub=202501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The characterizations of an alternating sign matrices using a triplet en-subtitle= kn-subtitle= en-abstract= kn-abstract=An alternating sign matrix (ASM for short) is a square matrix which consists of 0, 1 and −1. In this paper, we characterize an ASM by showing a bijection between alternating sign matrix and six vertex model, and a bijection between six vertex model and height function. In order to show these bijections, we define a triplet (ai,j , ci,j , ri,j) for each entry of an ASM. We also define a track for each index of height function, and state more properties of height function. en-copyright= kn-copyright= en-aut-name=OhmotoToyokazu en-aut-sei=Ohmoto en-aut-mei=Toyokazu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, Faculty of Science, Okayama University kn-affil= en-keyword=Alternating sign matrix kn-keyword=Alternating sign matrix en-keyword=six vertex model kn-keyword=six vertex model en-keyword=height function kn-keyword=height function END start-ver=1.4 cd-journal=joma no-vol=67 cd-vols= no-issue=1 article-no= start-page=75 end-page=99 dt-received= dt-revised= dt-accepted= dt-pub-year=2025 dt-pub=202501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The best constant of the Sobolev inequality corresponding to a bending problem of a string with a rectangular spring constant en-subtitle= kn-subtitle= en-abstract= kn-abstract=The Sobolev inequality shows that the supremum of a function defined on a whole line is estimated from the above by constant multiples of the potential energy. Among such constants, the smallest constant is the best constant. If we replace a constant by the best constant in the Sobolev inequality, then the equality holds for the best function. The aim of this paper is to find the best constant and the best function. In the background, there is a bending problem of a string with a rectangular spring constant. The Green function is an important function because the best constant and the best function consist of the Green function. en-copyright= kn-copyright= en-aut-name=YamagishiHiroyuki en-aut-sei=Yamagishi en-aut-mei=Hiroyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KametakaYoshinori en-aut-sei=Kametaka en-aut-mei=Yoshinori kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Tokyo Metropolitan College of Industrial Technology kn-affil= affil-num=2 en-affil=Faculty of Engineering Science, Osaka University kn-affil= en-keyword=Sobolev inequality kn-keyword=Sobolev inequality en-keyword=Green function kn-keyword=Green function en-keyword=reproducing kernel kn-keyword=reproducing kernel END start-ver=1.4 cd-journal=joma no-vol=67 cd-vols= no-issue=1 article-no= start-page=67 end-page=74 dt-received= dt-revised= dt-accepted= dt-pub-year=2025 dt-pub=202501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Locally serially coalescent classes of Lie algebras en-subtitle= kn-subtitle= en-abstract= kn-abstract=We assume that a basic field k has zero characteristic. We show that any Fitting class is serially coalescent for locally finite Lie algebras. We also show that any class X satisfying N ≤ X ≤ ˆGr (e.g. Ft, B, Z, Gr, lN, rN, `e(◁)ˆA, ˆe(◁)ˆA, `Gr) is locally serially coalescent for locally finite Lie algebras, and, for any locally finite Lie algebra L, the X-ser radical of L is locally nilpotent. en-copyright= kn-copyright= en-aut-name=HondaMasanobu en-aut-sei=Honda en-aut-mei=Masanobu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=SakamotoTakanori en-aut-sei=Sakamoto en-aut-mei=Takanori kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Faculty of Pharmaceutical Sciences, Niigata University of Pharmacy and Medical and Life Sciences kn-affil= affil-num=2 en-affil=Department of Mathematics, University of Teacher Education Fukuoka kn-affil= en-keyword=Lie algebra kn-keyword=Lie algebra en-keyword=serial subalgebra kn-keyword=serial subalgebra en-keyword=locally coalescent class kn-keyword=locally coalescent class END start-ver=1.4 cd-journal=joma no-vol=67 cd-vols= no-issue=1 article-no= start-page=53 end-page=65 dt-received= dt-revised= dt-accepted= dt-pub-year=2025 dt-pub=202501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The irreducibility and monogenicity of power-compositional trinomials en-subtitle= kn-subtitle= en-abstract= kn-abstract=A polynomial f(x) ∈ Z[x] of degree N is called monogenic if f(x) is irreducible over Q and {1, θ, θ2, . . . , θN−1} is a basis for the ring of integers of Q(θ), where f(θ) = 0. Define F(x) := xm+Axm−1+B. In this article, we determine sets of conditions on m, A, and B, such that the power-compositional trinomial F(xpn) is monogenic for all integers n ≥ 0 and a given prime p. Furthermore, we prove the actual existence of infinite families of such trinomials F(x). en-copyright= kn-copyright= en-aut-name=HarringtonJoshua en-aut-sei=Harrington en-aut-mei=Joshua kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=JonesLenny en-aut-sei=Jones en-aut-mei=Lenny kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Mathematics, Cedar Crest College kn-affil= affil-num=2 en-affil=Department of Mathematics, Shippensburg University kn-affil= en-keyword=irreducible kn-keyword=irreducible en-keyword=monogenic kn-keyword=monogenic en-keyword=power-compositional kn-keyword=power-compositional en-keyword=trinomial kn-keyword=trinomial END start-ver=1.4 cd-journal=joma no-vol=67 cd-vols= no-issue=1 article-no= start-page=29 end-page=51 dt-received= dt-revised= dt-accepted= dt-pub-year=2025 dt-pub=202501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The Quillen model structure on the category of diffeological spaces en-subtitle= kn-subtitle= en-abstract= kn-abstract=We construct on the category of diffeological spaces a Quillen model structure having smooth weak homotopy equivalences as the class of weak equivalences. en-copyright= kn-copyright= en-aut-name=HaraguchiTadayuki en-aut-sei=Haraguchi en-aut-mei=Tadayuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=ShimakawaKazuhisa en-aut-sei=Shimakawa en-aut-mei=Kazuhisa kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Faculty of Education for Human Growth, Nara Gakuen University kn-affil= affil-num=2 en-affil=Okayama University kn-affil= en-keyword=Diffeological space kn-keyword=Diffeological space en-keyword=Homotopy theory kn-keyword=Homotopy theory en-keyword=Model category kn-keyword=Model category END start-ver=1.4 cd-journal=joma no-vol=67 cd-vols= no-issue=1 article-no= start-page=1 end-page=28 dt-received= dt-revised= dt-accepted= dt-pub-year=2025 dt-pub=202501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Inseparable Gauss maps and dormant opers en-subtitle= kn-subtitle= en-abstract= kn-abstract=The present paper aims to generalize a result by H. Kaji on Gauss maps in positive characteristic and establish an interaction with the study of dormant opers and Frobenius-projective structures. We prove a correspondence between dormant opers on a smooth projective variety and closed immersions into a projective space with purely inseparable Gauss map. By using this, we determine the subfields of the function field of a smooth curve in positive characteristic induced by Gauss maps. Moreover, this correspondence gives us a Frobenius-projective structure on a Fermat hypersurface. en-copyright= kn-copyright= en-aut-name=WakabayashiYasuhiro en-aut-sei=Wakabayashi en-aut-mei=Yasuhiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Graduate School of Information Science and Technology, Osaka University kn-affil= en-keyword=Gauss map kn-keyword=Gauss map en-keyword=Frobenius-projective structure kn-keyword=Frobenius-projective structure en-keyword=dormant kn-keyword=dormant en-keyword=indigenous bundle kn-keyword=indigenous bundle en-keyword=oper kn-keyword=oper END start-ver=1.4 cd-journal=joma no-vol=15 cd-vols= no-issue= article-no= start-page=45 end-page=58 dt-received= dt-revised= dt-accepted= dt-pub-year=2025 dt-pub=20250328 dt-online= en-article= kn-article= en-subject= kn-subject= en-title=Childcare and Support in Nursery Schools for the Development of Geometry and Number Sense for Five-Year-Old Children kn-title=5歳児を対象とした数量・図形感覚を育む保育所保育の実際と援助の在り方 en-subtitle= kn-subtitle= en-abstract=This study focuses on “the interest and sense of numbers, geometry, and words”, which is regarded as one of "the Ideal Image by the End of Childhood". The focus is on 5-year-old pre-schoolers and their experiences with numbers and shapes in daily lives and games at nursery schools with a comparison with the mathematics classes in the first grade of elementary school. We also aim to provide insights for nursery schools on how to arouse children’s interest and support them to get familiar with geometry and numbers through games.
Our finding reveals that children naturally become familiar with geometry and numbers in their daily lives and their experiences become the foundation when they cope with elementary school mathematics. We also come to know that nursery teachers have to visualize the connection between their games with elementary school mathematics and actively arouse children’s interests and understanding. kn-abstract= 本研究では、幼児期の終わりまでに育って欲しい10の姿のひとつである、「数量・図形、文字等への関心・感覚」に着目し、就学前の5歳児に焦点を当て、保育所の日常生活や遊びにおいて子どもがどのような数量・図形に関する事柄を経験しているのか、また、その経験を小学校1年生の算数科の学習内容と照らして検討した。さらに、子どもが園生活や遊びの中で数量・図形に関心をもって親しみ、学びを得ることを支える保育の在り方について検討した。
 その結果、子どもは日常の中で主体的に数量・図形に親しむ経験をすると共に、その経験が小学校算数科の内容に連続する学びの基礎となっていることが明らかになった。また、保育士自身が小学校算数との繋がりを見通しながら、眼前の子どもの興味や関心に沿って援助することが専門的力量として求められることが示唆された。 en-copyright= kn-copyright= en-aut-name=SUZUKIFuka en-aut-sei=SUZUKI en-aut-mei=Fuka kn-aut-name=鈴木楓花 kn-aut-sei=鈴木 kn-aut-mei=楓花 aut-affil-num=1 ORCID= en-aut-name=KATAYAMAMika en-aut-sei=KATAYAMA en-aut-mei=Mika kn-aut-name=片山美香 kn-aut-sei=片山 kn-aut-mei=美香 aut-affil-num=2 ORCID= affil-num=1 en-affil=Mitsu Kanagawa Certified childcare center kn-affil=岡山市御津金川認定こども園 affil-num=2 en-affil=Graduate School of Education, Okayama University kn-affil=岡山大学学術研究院教育学域 幼児教育講座 en-keyword=10 の姿 kn-keyword=10 の姿 en-keyword=数量・図形 kn-keyword=数量・図形 en-keyword=保育士 kn-keyword=保育士 en-keyword=専門的力量 kn-keyword=専門的力量 en-keyword=小学校算数科 kn-keyword=小学校算数科 en-keyword=the Ideal Image by the End of Childhood kn-keyword=the Ideal Image by the End of Childhood en-keyword=numbers & geometry kn-keyword=numbers & geometry en-keyword=professional nursery school teachers kn-keyword=professional nursery school teachers en-keyword=elementary school kn-keyword=elementary school en-keyword=mathematics kn-keyword=mathematics END start-ver=1.4 cd-journal=joma no-vol=249 cd-vols= no-issue=1 article-no= start-page=13 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2025 dt-pub=20250121 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Traveling Front Solutions of Dimension n Generate Entire Solutions of Dimension (n-1) in Reaction-Diffusion Equations as the Speeds Go to Infinity en-subtitle= kn-subtitle= en-abstract= kn-abstract=Multidimensional traveling front solutions and entire solutions of reaction-diffusion equations have been studied intensively. To study the relationship between multidimensional traveling front solutions and entire solutions, we study the reaction-diffusion equation with a bistable nonlinear term. It is well known that there exist multidimensional traveling front solutions with every speed that is greater than the speed of a one-dimensional traveling front solution connecting two stable equilibria. In this paper, we show that the limit of the n-dimensional multidimensional traveling front solutions as the speeds go to infinity generates an entire solution of the same reaction-diffusion equation in the (n-1)-dimensional space. en-copyright= kn-copyright= en-aut-name=NinomiyaHirokazu en-aut-sei=Ninomiya en-aut-mei=Hirokazu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TaniguchiMasaharu en-aut-sei=Taniguchi en-aut-mei=Masaharu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=School of Interdisciplinary Mathematical Sciences, Meiji University kn-affil= affil-num=2 en-affil=Research Institute for Interdisciplinary Science, Okayama University kn-affil= END start-ver=1.4 cd-journal=joma no-vol=2024 cd-vols= no-issue=12 article-no= start-page= end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=202412 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Multi-dimensional optimisation of the scanning strategy for the LiteBIRD space mission en-subtitle= kn-subtitle= en-abstract= kn-abstract=Large angular scale surveys in the absence of atmosphere are essential for measuring the primordial B-mode power spectrum of the Cosmic Microwave Background (CMB). Since this proposed measurement is about three to four orders of magnitude fainter than the temperature anisotropies of the CMB, in-flight calibration of the instruments and active suppression of systematic effects are crucial. We investigate the effect of changing the parameters of the scanning strategy on the in-flight calibration effectiveness, the suppression of the systematic effects themselves, and the ability to distinguish systematic effects by null-tests. Next-generation missions such as LiteBIRD, modulated by a Half-Wave Plate (HWP), will be able to observe polarisation using a single detector, eliminating the need to combine several detectors to measure polarisation, as done in many previous experiments and hence avoiding the consequent systematic effects. While the HWP is expected to suppress many systematic effects, some of them will remain. We use an analytical approach to comprehensively address the mitigation of these systematic effects and identify the characteristics of scanning strategies that are the most effective for implementing a variety of calibration strategies in the multi-dimensional space of common spacecraft scan parameters. We verify that LiteBIRD's standard configuration yields good performance on the metrics we studied. We also present Falcons.jl, a fast spacecraft scanning simulator that we developed to investigate this scanning parameter space. en-copyright= kn-copyright= en-aut-name=TakaseY. en-aut-sei=Takase en-aut-mei=Y. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=VacherL. en-aut-sei=Vacher en-aut-mei=L. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=IshinoH. en-aut-sei=Ishino en-aut-mei=H. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=PatanchonG. en-aut-sei=Patanchon en-aut-mei=G. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=MontierL. en-aut-sei=Montier en-aut-mei=L. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= en-aut-name=SteverS.L. en-aut-sei=Stever en-aut-mei=S.L. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=6 ORCID= en-aut-name=IshizakaK. en-aut-sei=Ishizaka en-aut-mei=K. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=7 ORCID= en-aut-name=NaganoY. en-aut-sei=Nagano en-aut-mei=Y. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=8 ORCID= en-aut-name=WangW. en-aut-sei=Wang en-aut-mei=W. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=9 ORCID= en-aut-name=AumontJ. en-aut-sei=Aumont en-aut-mei=J. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=10 ORCID= en-aut-name=AizawaK. en-aut-sei=Aizawa en-aut-mei=K. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=11 ORCID= en-aut-name=AnandA. en-aut-sei=Anand en-aut-mei=A. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=12 ORCID= en-aut-name=BaccigalupiC. en-aut-sei=Baccigalupi en-aut-mei=C. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=13 ORCID= en-aut-name=BallardiniM. en-aut-sei=Ballardini en-aut-mei=M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=14 ORCID= en-aut-name=BandayA.J. en-aut-sei=Banday en-aut-mei=A.J. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=15 ORCID= en-aut-name=BarreiroR.B. en-aut-sei=Barreiro en-aut-mei=R.B. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=16 ORCID= en-aut-name=BartoloN. en-aut-sei=Bartolo en-aut-mei=N. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=17 ORCID= en-aut-name=BasakS. en-aut-sei=Basak en-aut-mei=S. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=18 ORCID= en-aut-name=BersanelliM. en-aut-sei=Bersanelli en-aut-mei=M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=19 ORCID= en-aut-name=BortolamiM. en-aut-sei=Bortolami en-aut-mei=M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=20 ORCID= en-aut-name=BrinckmannT. en-aut-sei=Brinckmann en-aut-mei=T. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=21 ORCID= en-aut-name=CalabreseE. en-aut-sei=Calabrese en-aut-mei=E. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=22 ORCID= en-aut-name=CampetiP. en-aut-sei=Campeti en-aut-mei=P. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=23 ORCID= en-aut-name=CarinosE. en-aut-sei=Carinos en-aut-mei=E. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=24 ORCID= en-aut-name=CaronesA. en-aut-sei=Carones en-aut-mei=A. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=25 ORCID= en-aut-name=CasasF.J. en-aut-sei=Casas en-aut-mei=F.J. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=26 ORCID= en-aut-name=CheungK. en-aut-sei=Cheung en-aut-mei=K. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=27 ORCID= en-aut-name=ClermontL. en-aut-sei=Clermont en-aut-mei=L. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=28 ORCID= en-aut-name=ColumbroF. en-aut-sei=Columbro en-aut-mei=F. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=29 ORCID= en-aut-name=CoppolecchiaA. en-aut-sei=Coppolecchia en-aut-mei=A. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=30 ORCID= en-aut-name=CuttaiaF. en-aut-sei=Cuttaia en-aut-mei=F. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=31 ORCID= en-aut-name=D'AlessandroG. en-aut-sei=D'Alessandro en-aut-mei=G. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=32 ORCID= en-aut-name=de BernardisP. en-aut-sei=de Bernardis en-aut-mei=P. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=33 ORCID= en-aut-name=de HaanT. en-aut-sei=de Haan en-aut-mei=T. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=34 ORCID= en-aut-name=de la HozE. en-aut-sei=de la Hoz en-aut-mei=E. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=35 ORCID= en-aut-name=Della TorreS. en-aut-sei=Della Torre en-aut-mei=S. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=36 ORCID= en-aut-name=Diego-PalazuelosP. en-aut-sei=Diego-Palazuelos en-aut-mei=P. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=37 ORCID= en-aut-name=EriksenH.K. en-aut-sei=Eriksen en-aut-mei=H.K. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=38 ORCID= en-aut-name=ErrardJ. en-aut-sei=Errard en-aut-mei=J. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=39 ORCID= en-aut-name=FinelliF. en-aut-sei=Finelli en-aut-mei=F. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=40 ORCID= en-aut-name=FuskelandU. en-aut-sei=Fuskeland en-aut-mei=U. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=41 ORCID= en-aut-name=GalloniG. en-aut-sei=Galloni en-aut-mei=G. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=42 ORCID= en-aut-name=GallowayM. en-aut-sei=Galloway en-aut-mei=M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=43 ORCID= en-aut-name=GervasiM. en-aut-sei=Gervasi en-aut-mei=M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=44 ORCID= en-aut-name=GhignaT. en-aut-sei=Ghigna en-aut-mei=T. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=45 ORCID= en-aut-name=GiardielloS. en-aut-sei=Giardiello en-aut-mei=S. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=46 ORCID= en-aut-name=Gimeno-AmoC. en-aut-sei=Gimeno-Amo en-aut-mei=C. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=47 ORCID= en-aut-name=GjerløwE. en-aut-sei=Gjerløw en-aut-mei=E. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=48 ORCID= en-aut-name=González GonzálezR. en-aut-sei=González González en-aut-mei=R. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=49 ORCID= en-aut-name=GruppusoA. en-aut-sei=Gruppuso en-aut-mei=A. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=50 ORCID= en-aut-name=HazumiM. en-aut-sei=Hazumi en-aut-mei=M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=51 ORCID= en-aut-name=Henrot-VersilléS. en-aut-sei=Henrot-Versillé en-aut-mei=S. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=52 ORCID= en-aut-name=HergtL.T. en-aut-sei=Hergt en-aut-mei=L.T. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=53 ORCID= en-aut-name=IkumaK. en-aut-sei=Ikuma en-aut-mei=K. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=54 ORCID= en-aut-name=KohriK. en-aut-sei=Kohri en-aut-mei=K. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=55 ORCID= en-aut-name=LamagnaL. en-aut-sei=Lamagna en-aut-mei=L. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=56 ORCID= en-aut-name=LattanziM. en-aut-sei=Lattanzi en-aut-mei=M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=57 ORCID= en-aut-name=LeloupC. en-aut-sei=Leloup en-aut-mei=C. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=58 ORCID= en-aut-name=LemboM. en-aut-sei=Lembo en-aut-mei=M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=59 ORCID= en-aut-name=LevrierF. en-aut-sei=Levrier en-aut-mei=F. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=60 ORCID= en-aut-name=LonappanA.I. en-aut-sei=Lonappan en-aut-mei=A.I. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=61 ORCID= en-aut-name=López-CaniegoM. en-aut-sei=López-Caniego en-aut-mei=M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=62 ORCID= en-aut-name=LuzziG. en-aut-sei=Luzzi en-aut-mei=G. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=63 ORCID= en-aut-name=MaffeiB. en-aut-sei=Maffei en-aut-mei=B. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=64 ORCID= en-aut-name=Martínez-GonzálezE. en-aut-sei=Martínez-González en-aut-mei=E. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=65 ORCID= en-aut-name=MasiS. en-aut-sei=Masi en-aut-mei=S. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=66 ORCID= en-aut-name=MatarreseS. en-aut-sei=Matarrese en-aut-mei=S. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=67 ORCID= en-aut-name=MatsudaF.T. en-aut-sei=Matsuda en-aut-mei=F.T. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=68 ORCID= en-aut-name=MatsumuraT. en-aut-sei=Matsumura en-aut-mei=T. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=69 ORCID= en-aut-name=MicheliS. en-aut-sei=Micheli en-aut-mei=S. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=70 ORCID= en-aut-name=MigliaccioM. en-aut-sei=Migliaccio en-aut-mei=M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=71 ORCID= en-aut-name=MonelliM. en-aut-sei=Monelli en-aut-mei=M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=72 ORCID= en-aut-name=MorganteG. en-aut-sei=Morgante en-aut-mei=G. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=73 ORCID= en-aut-name=MotB. en-aut-sei=Mot en-aut-mei=B. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=74 ORCID= en-aut-name=NagataR. en-aut-sei=Nagata en-aut-mei=R. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=75 ORCID= en-aut-name=NamikawaT. en-aut-sei=Namikawa en-aut-mei=T. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=76 ORCID= en-aut-name=NovelliA. en-aut-sei=Novelli en-aut-mei=A. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=77 ORCID= en-aut-name=OdagiriK. en-aut-sei=Odagiri en-aut-mei=K. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=78 ORCID= en-aut-name=OguriS. en-aut-sei=Oguri en-aut-mei=S. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=79 ORCID= en-aut-name=OmaeR. en-aut-sei=Omae en-aut-mei=R. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=80 ORCID= en-aut-name=PaganoL. en-aut-sei=Pagano en-aut-mei=L. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=81 ORCID= en-aut-name=PaolettiD. en-aut-sei=Paoletti en-aut-mei=D. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=82 ORCID= en-aut-name=PiacentiniF. en-aut-sei=Piacentini en-aut-mei=F. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=83 ORCID= en-aut-name=PincheraM. en-aut-sei=Pinchera en-aut-mei=M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=84 ORCID= en-aut-name=PolentaG. en-aut-sei=Polenta en-aut-mei=G. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=85 ORCID= en-aut-name=PorcelliL. en-aut-sei=Porcelli en-aut-mei=L. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=86 ORCID= en-aut-name=RaffuzziN. en-aut-sei=Raffuzzi en-aut-mei=N. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=87 ORCID= en-aut-name=RemazeillesM. en-aut-sei=Remazeilles en-aut-mei=M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=88 ORCID= en-aut-name=RitaccoA. en-aut-sei=Ritacco en-aut-mei=A. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=89 ORCID= en-aut-name=Ruiz-GrandaM. en-aut-sei=Ruiz-Granda en-aut-mei=M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=90 ORCID= en-aut-name=SakuraiY. en-aut-sei=Sakurai en-aut-mei=Y. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=91 ORCID= en-aut-name=ScottD. en-aut-sei=Scott en-aut-mei=D. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=92 ORCID= en-aut-name=SekimotoY. en-aut-sei=Sekimoto en-aut-mei=Y. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=93 ORCID= en-aut-name=ShiraishiM. en-aut-sei=Shiraishi en-aut-mei=M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=94 ORCID= en-aut-name=SignorelliG. en-aut-sei=Signorelli en-aut-mei=G. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=95 ORCID= en-aut-name=SullivanR.M. en-aut-sei=Sullivan en-aut-mei=R.M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=96 ORCID= en-aut-name=TakakuraH. en-aut-sei=Takakura en-aut-mei=H. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=97 ORCID= en-aut-name=TerenziL. en-aut-sei=Terenzi en-aut-mei=L. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=98 ORCID= en-aut-name=TomasiM. en-aut-sei=Tomasi en-aut-mei=M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=99 ORCID= en-aut-name=TristramM. en-aut-sei=Tristram en-aut-mei=M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=100 ORCID= en-aut-name=van TentB. en-aut-sei=van Tent en-aut-mei=B. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=101 ORCID= en-aut-name=VielvaP. en-aut-sei=Vielva en-aut-mei=P. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=102 ORCID= en-aut-name=WehusI.K. en-aut-sei=Wehus en-aut-mei=I.K. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=103 ORCID= en-aut-name=WestbrookB. en-aut-sei=Westbrook en-aut-mei=B. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=104 ORCID= en-aut-name=Weymann-DespresG. en-aut-sei=Weymann-Despres en-aut-mei=G. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=105 ORCID= en-aut-name=WollackE.J. en-aut-sei=Wollack en-aut-mei=E.J. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=106 ORCID= en-aut-name=ZannoniM. en-aut-sei=Zannoni en-aut-mei=M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=107 ORCID= en-aut-name=ZhouY. en-aut-sei=Zhou en-aut-mei=Y. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=108 ORCID= affil-num=1 en-affil=Okayama University, Department of Physics kn-affil= affil-num=2 en-affil=International School for Advanced Studies (SISSA) kn-affil= affil-num=3 en-affil=Okayama University, Department of Physics kn-affil= affil-num=4 en-affil=ILANCE, CNRS, University of Tokyo International Research Laboratory kn-affil= affil-num=5 en-affil=IRAP, Université de Toulouse, CNRS, CNES, UPS kn-affil= affil-num=6 en-affil=Okayama University, Department of Physics kn-affil= affil-num=7 en-affil=Okayama University, Department of Physics kn-affil= affil-num=8 en-affil=Okayama University, Department of Physics kn-affil= affil-num=9 en-affil=Université Paris Cité, CNRS, Astroparticule et Cosmologie kn-affil= affil-num=10 en-affil=IRAP, Université de Toulouse, CNRS, CNES, UPS kn-affil= affil-num=11 en-affil=The University of Tokyo, Department of Physics kn-affil= affil-num=12 en-affil=Dipartimento di Fisica, Università di Roma Tor Vergata kn-affil= affil-num=13 en-affil=International School for Advanced Studies (SISSA) kn-affil= affil-num=14 en-affil=Dipartimento di Fisica e Scienze della Terra, Università di Ferrara kn-affil= affil-num=15 en-affil=IRAP, Université de Toulouse, CNRS, CNES, UPS kn-affil= affil-num=16 en-affil=Instituto de Fisica de Cantabria (IFCA, CSIC-UC) kn-affil= affil-num=17 en-affil=Dipartimento di Fisica e Astronomia "G. Galilei", Università degli Studi di Padova kn-affil= affil-num=18 en-affil=School of Physics, Indian Institute of Science Education and Research Thiruvananthapuram kn-affil= affil-num=19 en-affil=Dipartimento di Fisica, Università degli Studi di Milano kn-affil= affil-num=20 en-affil=Dipartimento di Fisica e Scienze della Terra, Università di Ferrara kn-affil= affil-num=21 en-affil=Dipartimento di Fisica e Scienze della Terra, Università di Ferrara kn-affil= affil-num=22 en-affil=School of Physics and Astronomy, Cardiff University kn-affil= affil-num=23 en-affil=INFN Sezione di Ferrara kn-affil= affil-num=24 en-affil=IRAP, Université de Toulouse, CNRS, CNES, UPS kn-affil= affil-num=25 en-affil=International School for Advanced Studies (SISSA) kn-affil= affil-num=26 en-affil=Instituto de Fisica de Cantabria (IFCA, CSIC-UC) kn-affil= affil-num=27 en-affil=Jodrell Bank Centre for Astrophysics, Department of Physics and Astronomy, School of Natural Sciences, The University of Manchester kn-affil= affil-num=28 en-affil=Centre Spatial de Liège, Université de Liège kn-affil= affil-num=29 en-affil=Dipartimento di Fisica, Università La Sapienza kn-affil= affil-num=30 en-affil=Dipartimento di Fisica, Università La Sapienza kn-affil= affil-num=31 en-affil=INAF, OAS Bologna kn-affil= affil-num=32 en-affil=Dipartimento di Fisica, Università La Sapienza kn-affil= affil-num=33 en-affil=Dipartimento di Fisica, Università La Sapienza kn-affil= affil-num=34 en-affil=Institute of Particle and Nuclear Studies (IPNS), High Energy Accelerator Research Organization (KEK) kn-affil= affil-num=35 en-affil=CNRS-UCB International Research Laboratory, Centre Pierre Binétruy, UMI2007 kn-affil= affil-num=36 en-affil=INFN Sezione Milano Bicocca kn-affil= affil-num=37 en-affil=Max Planck Institute for Astrophysics kn-affil= affil-num=38 en-affil=Institute of Theoretical Astrophysics, University of Oslo kn-affil= affil-num=39 en-affil=Université Paris Cité, CNRS, Astroparticule et Cosmologie kn-affil= affil-num=40 en-affil=INAF, OAS Bologna kn-affil= affil-num=41 en-affil=Institute of Theoretical Astrophysics, University of Oslo kn-affil= affil-num=42 en-affil=Dipartimento di Fisica e Scienze della Terra, Università di Ferrara kn-affil= affil-num=43 en-affil=Institute of Theoretical Astrophysics, University of Oslo kn-affil= affil-num=44 en-affil=University of Milano Bicocca, Physics Department kn-affil= affil-num=45 en-affil=International Center for Quantum-field Measurement Systems for Studies of the Universe and Particles (QUP), High Energy Accelerator Research Organization (KEK) kn-affil= affil-num=46 en-affil=School of Physics and Astronomy, Cardiff University kn-affil= affil-num=47 en-affil=Instituto de Fisica de Cantabria (IFCA, CSIC-UC) kn-affil= affil-num=48 en-affil=Institute of Theoretical Astrophysics, University of Oslo kn-affil= affil-num=49 en-affil=Instituto de Astrofísica de Canarias kn-affil= affil-num=50 en-affil=INAF, OAS Bologna kn-affil= affil-num=51 en-affil=International Center for Quantum-field Measurement Systems for Studies of the Universe and Particles (QUP), High Energy Accelerator Research Organization (KEK) kn-affil= affil-num=52 en-affil=Université Paris-Saclay, CNRS/IN2P3, IJCLab kn-affil= affil-num=53 en-affil=Department of Physics and Astronomy, University of British Columbia kn-affil= affil-num=54 en-affil=Okayama University, Department of Physics kn-affil= affil-num=55 en-affil=Institute of Particle and Nuclear Studies (IPNS), High Energy Accelerator Research Organization (KEK) kn-affil= affil-num=56 en-affil=Dipartimento di Fisica, Università La Sapienza kn-affil= affil-num=57 en-affil=INFN Sezione di Ferrara kn-affil= affil-num=58 en-affil=Kavli Institute for the Physics and Mathematics of the Universe (Kavli IPMU, WPI), UTIAS, The University of Tokyo kn-affil= affil-num=59 en-affil=Dipartimento di Fisica e Scienze della Terra, Università di Ferrara kn-affil= affil-num=60 en-affil=Laboratoire de Physique de l'École Normale Supérieure, ENS, Université PSL, CNRS, Sorbonne Université, Université de Paris kn-affil= affil-num=61 en-affil=University of California, San Diego, Department of Physics kn-affil= affil-num=62 en-affil=Aurora Technology for the European Space Agency kn-affil= affil-num=63 en-affil=Space Science Data Center, Italian Space Agency kn-affil= affil-num=64 en-affil=Université Paris-Saclay, CNRS, Institut d'Astrophysique Spatiale kn-affil= affil-num=65 en-affil=Instituto de Fisica de Cantabria (IFCA, CSIC-UC) kn-affil= affil-num=66 en-affil=Dipartimento di Fisica, Università La Sapienza kn-affil= affil-num=67 en-affil=Dipartimento di Fisica e Astronomia "G. Galilei", Università degli Studi di Padova kn-affil= affil-num=68 en-affil=Japan Aerospace Exploration Agency (JAXA), Institute of Space and Astronautical Science (ISAS) kn-affil= affil-num=69 en-affil=Kavli Institute for the Physics and Mathematics of the Universe (Kavli IPMU, WPI), UTIAS, The University of Tokyo kn-affil= affil-num=70 en-affil=Dipartimento di Fisica, Università La Sapienza kn-affil= affil-num=71 en-affil=Dipartimento di Fisica, Università di Roma Tor Vergata kn-affil= affil-num=72 en-affil=Max Planck Institute for Astrophysics kn-affil= affil-num=73 en-affil=INAF, OAS Bologna kn-affil= affil-num=74 en-affil=IRAP, Université de Toulouse, CNRS, CNES, UPS kn-affil= affil-num=75 en-affil=Japan Aerospace Exploration Agency (JAXA), Institute of Space and Astronautical Science (ISAS) kn-affil= affil-num=76 en-affil=Kavli Institute for the Physics and Mathematics of the Universe (Kavli IPMU, WPI), UTIAS, The University of Tokyo kn-affil= affil-num=77 en-affil=Dipartimento di Fisica, Università La Sapienza kn-affil= affil-num=78 en-affil=Japan Aerospace Exploration Agency (JAXA), Institute of Space and Astronautical Science (ISAS) kn-affil= affil-num=79 en-affil=Japan Aerospace Exploration Agency (JAXA), Institute of Space and Astronautical Science (ISAS) kn-affil= affil-num=80 en-affil=Okayama University, Department of Physics kn-affil= affil-num=81 en-affil=Dipartimento di Fisica e Scienze della Terra, Università di Ferrara kn-affil= affil-num=82 en-affil=INAF, OAS Bologna kn-affil= affil-num=83 en-affil=Dipartimento di Fisica, Università La Sapienza kn-affil= affil-num=84 en-affil=INFN Sezione di Pisa kn-affil= affil-num=85 en-affil=Space Science Data Center, Italian Space Agency kn-affil= affil-num=86 en-affil=Istituto Nazionale di Fisica Nucleare-aboratori Nazionali di Frascati (INFN-LNF) kn-affil= affil-num=87 en-affil=Dipartimento di Fisica e Scienze della Terra, Università di Ferrara kn-affil= affil-num=88 en-affil=Instituto de Fisica de Cantabria (IFCA, CSIC-UC) kn-affil= affil-num=89 en-affil=Dipartimento di Fisica, Università di Roma Tor Vergata kn-affil= affil-num=90 en-affil=Instituto de Fisica de Cantabria (IFCA, CSIC-UC) kn-affil= affil-num=91 en-affil=Suwa University of Science kn-affil= affil-num=92 en-affil=Department of Physics and Astronomy, University of British Columbia kn-affil= affil-num=93 en-affil=Japan Aerospace Exploration Agency (JAXA), Institute of Space and Astronautical Science (ISAS) kn-affil= affil-num=94 en-affil=Suwa University of Science kn-affil= affil-num=95 en-affil=Dipartimento di Fisica, Università di Pisa kn-affil= affil-num=96 en-affil=Department of Physics and Astronomy, University of British Columbia kn-affil= affil-num=97 en-affil=Japan Aerospace Exploration Agency (JAXA), Institute of Space and Astronautical Science (ISAS) kn-affil= affil-num=98 en-affil=INAF, OAS Bologna kn-affil= affil-num=99 en-affil=Dipartimento di Fisica, Università degli Studi di Milano kn-affil= affil-num=100 en-affil=Université Paris-Saclay, CNRS/IN2P3, IJCLab kn-affil= affil-num=101 en-affil=Université Paris-Saclay, CNRS/IN2P3, IJCLab kn-affil= affil-num=102 en-affil=Instituto de Fisica de Cantabria (IFCA, CSIC-UC) kn-affil= affil-num=103 en-affil=Institute of Theoretical Astrophysics, University of Oslo kn-affil= affil-num=104 en-affil=University of California, Berkeley, Department of Physics, Berkeley kn-affil= affil-num=105 en-affil=Université Paris-Saclay, CNRS/IN2P3, IJCLab kn-affil= affil-num=106 en-affil=NASA Goddard Space Flight Center kn-affil= affil-num=107 en-affil=University of Milano Bicocca, Physics Department kn-affil= affil-num=108 en-affil=International Center for Quantum-field Measurement Systems for Studies of the Universe and Particles (QUP), High Energy Accelerator Research Organization (KEK) kn-affil= en-keyword=CMBR experiments kn-keyword=CMBR experiments en-keyword=CMBR polarisation kn-keyword=CMBR polarisation en-keyword=gravitational waves and CMBR polarization kn-keyword=gravitational waves and CMBR polarization END start-ver=1.4 cd-journal=joma no-vol=18 cd-vols= no-issue=3 article-no= start-page=769 end-page=774 dt-received= dt-revised= dt-accepted= dt-pub-year=2023 dt-pub=20230519 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Review: Nicotinic acetylcholine receptors to regulate important brain activity—what occurs at the molecular level? en-subtitle= kn-subtitle= en-abstract= kn-abstract=Herein, we briefly review the role of nicotinic acetylcholine receptors in regulating important brain activity by controlled release of acetylcholine from subcortical neuron groups, focusing on a microscopic viewpoint and considering the nonlinear dynamics of biological macromolecules associated with neuron activity and how they give rise to advanced brain functions of brain. en-copyright= kn-copyright= en-aut-name=NaraShigetoshi en-aut-sei=Nara en-aut-mei=Shigetoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=YamagutiYutaka en-aut-sei=Yamaguti en-aut-mei=Yutaka kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=TsudaIchiro en-aut-sei=Tsuda en-aut-mei=Ichiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil=Graduate School of Natural Science and Technology, Okayama University kn-affil= affil-num=2 en-affil=Faculty of Information Engineering, Fukuoka Institute of Technology kn-affil= affil-num=3 en-affil=Chubu University Academy of Emerging Sciences/Center for Mathematical Science and Artificial Intelligence, Chubu University kn-affil= en-keyword=Neuromodulator kn-keyword=Neuromodulator en-keyword=Nichotinic kn-keyword=Nichotinic en-keyword=Acetylcholine kn-keyword=Acetylcholine en-keyword=Receptors kn-keyword=Receptors en-keyword=Brain activity kn-keyword=Brain activity END start-ver=1.4 cd-journal=joma no-vol=10 cd-vols= no-issue=1 article-no= start-page=018003 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=20240127 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Design and performance of a gain calibration system for the POLARBEAR-2a receiver system at the Simons Array cosmic microwave background experiment en-subtitle= kn-subtitle= en-abstract= kn-abstract=We present an advanced system for calibrating the detector gain responsivity with a chopped thermal source for POLARBEAR-2a, which is the first receiver system of a cosmic microwave background (CMB) polarimetry experiment: the Simons Array. Intensity-to-polarization leakage due to calibration errors between detectors can be a significant source of systematic error for a polarization-sensitive experiment. To suppress this systematic uncertainty, POLARBEAR-2a calibrates the detector gain responsivities by observing a chopped thermal source before and after each period of science observations. The system includes a high-temperature ceramic heater that emits blackbody radiation covering a wide frequency range and an optical chopper to modulate the radiation signal. We discuss the experimental requirements of gain calibration and system design to calibrate POLARBEAR-2a. We evaluate the performance of our system during the early commissioning of the receiver system. This calibration system is promising for the future generation of CMB ground-based polarization observations. en-copyright= kn-copyright= en-aut-name=KanekoDaisuke en-aut-sei=Kaneko en-aut-mei=Daisuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TakatoriSayuri en-aut-sei=Takatori en-aut-mei=Sayuri kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=HasegawaMasaya en-aut-sei=Hasegawa en-aut-mei=Masaya kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=HazumiMasashi en-aut-sei=Hazumi en-aut-mei=Masashi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=InoueYuki en-aut-sei=Inoue en-aut-mei=Yuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= en-aut-name=JeongOliver en-aut-sei=Jeong en-aut-mei=Oliver kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=6 ORCID= en-aut-name=KatayamaNobuhiko en-aut-sei=Katayama en-aut-mei=Nobuhiko kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=7 ORCID= en-aut-name=LeeAdrian T. en-aut-sei=Lee en-aut-mei=Adrian T. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=8 ORCID= en-aut-name=MatsudaFrederick en-aut-sei=Matsuda en-aut-mei=Frederick kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=9 ORCID= en-aut-name=NishinoHaruki en-aut-sei=Nishino en-aut-mei=Haruki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=10 ORCID= en-aut-name=SiritanasakPraween en-aut-sei=Siritanasak en-aut-mei=Praween kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=11 ORCID= en-aut-name=SuzukiAritoki en-aut-sei=Suzuki en-aut-mei=Aritoki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=12 ORCID= en-aut-name=TakakuraSatoru en-aut-sei=Takakura en-aut-mei=Satoru kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=13 ORCID= en-aut-name=TomaruTakayuki en-aut-sei=Tomaru en-aut-mei=Takayuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=14 ORCID= affil-num=1 en-affil=High Energy Accelerator Research Organization, International Center for Quantum-field Measurement Systems for Studies of the Universe and Particles kn-affil= affil-num=2 en-affil=Okayama University, Research Institute for Interdisciplinary Science kn-affil= affil-num=3 en-affil=High Energy Accelerator Research Organization, International Center for Quantum-field Measurement Systems for Studies of the Universe and Particles kn-affil= affil-num=4 en-affil=High Energy Accelerator Research Organization, International Center for Quantum-field Measurement Systems for Studies of the Universe and Particles kn-affil= affil-num=5 en-affil=National Central University, Center for High Energy and High Field Physics, Department of Physics kn-affil= affil-num=6 en-affil=University of California, Department of Physics kn-affil= affil-num=7 en-affil=University of Tokyo, Kavli Institute for the Physics and Mathematics of the Universe kn-affil= affil-num=8 en-affil=University of California, Department of Physics kn-affil= affil-num=9 en-affil=Japan Aerospace Exploration Agency, Institute of Space and Astronautical Science kn-affil= affil-num=10 en-affil=The University of Tokyo, Graduate School of Science, Research Center for the Early Universe kn-affil= affil-num=11 en-affil=National Astronomical Research Institute of Thailand kn-affil= affil-num=12 en-affil=Lawrence Berkeley National Laboratory, Physics Division kn-affil= affil-num=13 en-affil=Kyoto University, Department of Physics, Faculty of Science kn-affil= affil-num=14 en-affil=National Astronomical Observatory of Japan, Gravitational Wave Project Office kn-affil= en-keyword=cosmic microwave background kn-keyword=cosmic microwave background en-keyword=gain calibrator kn-keyword=gain calibrator en-keyword=detector calibration kn-keyword=detector calibration en-keyword=transition edge sensor kn-keyword=transition edge sensor END start-ver=1.4 cd-journal=joma no-vol=15 cd-vols= no-issue= article-no= start-page=1329162 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=20240809 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Vaccine and antiviral drug promise for preventing post-acute sequelae of COVID-19, and their combination for its treatment en-subtitle= kn-subtitle= en-abstract= kn-abstract=Introduction: Most healthy individuals recover from acute SARS-CoV-2 infection, whereas a remarkable number continues to suffer from unexplained symptoms, known as Long COVID or post-acute COVID-19 syndrome (PACS). It is therefore imperative that methods for preventing and treating the onset of PASC be investigated with the utmost urgency.
Methods: A mathematical model of the immune response to vaccination and viral infection with SARS-CoV-2, incorporating immune memory cells, was developed.
Results and discussion: Similar to our previous model, persistent infection was observed by the residual virus in the host, implying the possibility of chronic inflammation and delayed recovery from tissue injury. Pre-infectious vaccination and antiviral medication administered during onset can reduce the acute viral load; however, they show no beneficial effects in preventing persistent infection. Therefore, the impact of these treatments on the PASC, which has been clinically observed, is mainly attributed to their role in preventing severe tissue damage caused by acute viral infections. For PASC patients with persistent infection, vaccination was observed to cause an immediate rapid increase in viral load, followed by a temporary decrease over approximately one year. The former was effectively suppressed by the coadministration of antiviral medications, indicating that this combination is a promising treatment for PASC. en-copyright= kn-copyright= en-aut-name=SumiTomonari en-aut-sei=Sumi en-aut-mei=Tomonari kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=HaradaKouji en-aut-sei=Harada en-aut-mei=Kouji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Research Institute for Interdisciplinary Science, Okayama University kn-affil= affil-num=2 en-affil=Department of Computer Science and Engineering, Toyohashi University of Technology kn-affil= en-keyword=post-acute sequelae of SARS-CoV-2 infection kn-keyword=post-acute sequelae of SARS-CoV-2 infection en-keyword=PASC kn-keyword=PASC en-keyword=long Covid kn-keyword=long Covid en-keyword=persistent viruses kn-keyword=persistent viruses en-keyword=vaccine kn-keyword=vaccine en-keyword=antiviral drug kn-keyword=antiviral drug en-keyword=mathematical model kn-keyword=mathematical model en-keyword=immune response kn-keyword=immune response END start-ver=1.4 cd-journal=joma no-vol=47 cd-vols= no-issue=2 article-no= start-page=162 end-page=177 dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=202406 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Generalized hypergeometric functions for degree k hypersurface in CPN-1 and intersection numbers of moduli space of quasimaps from CP1 with two marked points to CPN-1 en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we derive the generalized hypergeometric functions used in mirror computation of degree k hypersurface in CPN-1 as generating functions of intersection numbers of the moduli space of quasimaps from CP1 with two marked points to CPN-1. en-copyright= kn-copyright= en-aut-name=JinzenjiMasao en-aut-sei=Jinzenji en-aut-mei=Masao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=MatsuzakaKohki en-aut-sei=Matsuzaka en-aut-mei=Kohki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Mathematics, Okayama University kn-affil= affil-num=2 en-affil=Faculty of Integrated Media, Ikueikan University kn-affil= en-keyword=Givental's I-function kn-keyword=Givental's I-function en-keyword=Generalized hypergeometric series kn-keyword=Generalized hypergeometric series en-keyword=Moduli space of quasimaps kn-keyword=Moduli space of quasimaps en-keyword=Intersection number kn-keyword=Intersection number END start-ver=1.4 cd-journal=joma no-vol=78 cd-vols= no-issue=3 article-no= start-page=227 end-page=235 dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=202406 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Effect of Lipopolysaccharide on the Duration of Zolpidem-Induced Loss of Righting Reflex in Mice en-subtitle= kn-subtitle= en-abstract= kn-abstract=Zolpidem, a non-benzodiazepine hypnotic, is primarily used to treat insomnia. In a previous study, pior treatment with non-benzodiazepine receptor agonists was associated with inflammation. The present study aimed to clarify the association between the effects of zolpidem and inflammation in mice treated with lipopolysaccharide (LPS), a known model of inflammation. We assessed the zolpidem-induced loss of righting reflex (LORR) duration 24 h after LPS treatment in mice. Additionally, the expressions of γ-aminobutyric acid (GABA)A receptor subunit and K+-Cl− cotransporter isoform 2 (KCC2) mRNA in the hippocampus and frontal cortex were examined in LPS-treated mice. Pretreatment with LPS was associated with significantly prolonged duration of zolpidem-induced LORR compared to control mice. This effect was significantly attenuated by administering bicuculline, a GABAA receptor antagonist, or flumazenil, a benzodiazepine receptor antagonist, in LPS-treated mice. Compared to controls, LPS-treated mice showed no significant change in the expression of GABAA receptor subunits in the hippocampus or frontal cortex. Bumetanide, an Na+-K+-2Cl− cotransporter isoform 1 blocker, attenuated the extended duration of zolpidem-induced LORR observed in LPS-treated mice. LPS significantly decreased Kcc2 mRNA expression in the hippocampus and the frontal cortex. These findings suggest that inflammation increases zolpidem-induced LORR, possibly through a reduction in KCC2 expression. en-copyright= kn-copyright= en-aut-name=WadaYudai en-aut-sei=Wada en-aut-mei=Yudai kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=UshioSoichiro en-aut-sei=Ushio en-aut-mei=Soichiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=KitamuraYoshihisa en-aut-sei=Kitamura en-aut-mei=Yoshihisa kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=ZamamiYoshito en-aut-sei=Zamami en-aut-mei=Yoshito kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=SendoToshiaki en-aut-sei=Sendo en-aut-mei=Toshiaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= affil-num=1 en-affil=Department of Clinical Pharmacy, Okayama University, Graduate School of Medicine, Dentistry and Pharmaceutical Sciences kn-affil= affil-num=2 en-affil=Department of Pharmacy, Okayama University Hospital kn-affil= affil-num=3 en-affil=Department of Clinical Pharmacy, Okayama University, Graduate School of Medicine, Dentistry and Pharmaceutical Sciences kn-affil= affil-num=4 en-affil=Department of Clinical Pharmacy, Okayama University, Graduate School of Medicine, Dentistry and Pharmaceutical Sciences kn-affil= affil-num=5 en-affil=Department of Clinical Pharmacy, Okayama University, Graduate School of Medicine, Dentistry and Pharmaceutical Sciences kn-affil= en-keyword=lipopolysaccharide kn-keyword=lipopolysaccharide en-keyword=zolpidem kn-keyword=zolpidem en-keyword=GABAA receptor kn-keyword=GABAA receptor en-keyword=K+-Cl− cotransporters kn-keyword=K+-Cl− cotransporters END start-ver=1.4 cd-journal=joma no-vol=36 cd-vols= no-issue=3 article-no= start-page=036617 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=20240319 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Effect of non-local near-resonant interactions of Rossby waves on formation of large-scale zonal flows in unforced two-dimensional turbulence on rotating sphere en-subtitle= kn-subtitle= en-abstract= kn-abstract=This study investigates the effect of nonlinear interactions of Rossby waves on large-scale zonal flow formation in two-dimensional turbulence on a rotating sphere. The coefficients of nonlinear interactions are first calculated. Then, the non-local, near-resonant, and non-local near-resonant interactions are investigated in detail. The results show that the formation of large-scale westward circumpolar zonal flows is directly caused by non-local energy transfer due to the three-wave near-resonant interactions of Rossby waves. en-copyright= kn-copyright= en-aut-name=HagimoriYusuke en-aut-sei=Hagimori en-aut-mei=Yusuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=ObuseKiori en-aut-sei=Obuse en-aut-mei=Kiori kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=YamadaMichio en-aut-sei=Yamada en-aut-mei=Michio kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil=Graduate School of Environmental, Life, Natural Science and Technology, Okayama University kn-affil= affil-num=2 en-affil=Graduate School of Environmental, Life, Natural Science and Technology, Okayama University kn-affil= affil-num=3 en-affil=Research Institute for Mathematical Sciences, Kyoto University kn-affil= END start-ver=1.4 cd-journal=joma no-vol=70 cd-vols= no-issue=3 article-no= start-page=645 end-page=670 dt-received= dt-revised= dt-accepted= dt-pub-year=2023 dt-pub=20230818 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Field Choice Problem in Persistent Homology en-subtitle= kn-subtitle= en-abstract= kn-abstract=This paper tackles the problem of coefficient field choice in persistent homology. When we compute a persistence diagram, we need to select a coefficient field before computation. We should understand the dependence of the diagram on the coefficient field to facilitate computation and interpretation of the diagram. We clarify that the dependence is strongly related to the torsion part of Z relative homology in the filtration. We show the sufficient and necessary conditions of the independence of coefficient field choice. An efficient algorithm is proposed to verify the independence. A slight modification of the standard persistence algorithm gives the verification algorithm. In a numerical experiment with the algorithm, a persistence diagram rarely changes even when the coefficient field changes if we consider a filtration in R3. The experiment suggests that, in practical terms, changes in the field coefficient will not change persistence diagrams when the data are in R3. en-copyright= kn-copyright= en-aut-name=ObayashiIppei en-aut-sei=Obayashi en-aut-mei=Ippei kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=YoshiwakiMichio en-aut-sei=Yoshiwaki en-aut-mei=Michio kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Center for Artificial Intelligence and Mathematical Data Science, Okayama University kn-affil= affil-num=2 en-affil=Present address: Osaka Central Advanced Mathematical Institute kn-affil= en-keyword=Topological data analysis kn-keyword=Topological data analysis en-keyword=Persistent homology kn-keyword=Persistent homology en-keyword=Algorithm kn-keyword=Algorithm en-keyword=Algebraic topology kn-keyword=Algebraic topology END start-ver=1.4 cd-journal=joma no-vol=30 cd-vols= no-issue=1 article-no= start-page=21 end-page=35 dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=20240331 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A new insight into the driving mechanism for plate tectonics—the relationship between tectonic processes and the circumferential tensile forces associated with a rotating planet— en-subtitle= kn-subtitle= en-abstract= kn-abstract= Mantle convection currents are the currently accepted driving force for plate tectonics that have ripped apart the continents and created oceans. Because of these actions, continental collisions and ocean closures have resulted. Our paper challenges the conventional concept and provides an alternate, mathematically justified drive mechanism. The pull-push motions of such convection currents in the upper mantle are here concluded to be too weak to be the driving mechanism.
 Our proposal for such global scale forces concerns the effect of an offset centre of mass of the Earth that results in rotational wobbling. Kepler’s laws of planetary motion demonstrate the rotational behavior of the Earth to be aligned with the Sun on the outward and inward motions of the elliptical orbit. The unbalanced rotation on a fixed gravitational axis results in circumferential stresses on the outer Earth’s rim that is more than strong enough to pull the continental plates apart. The proposed unbalanced rotational stress force equation is shown to be sufficient to drive the cyclic breakup and reassembly of the continental plates, as well as the generation of new oceanic crust and subduction zones. Mantle convection currents are here demonstrated to have a passive rather than active role in the plate movements. en-copyright= kn-copyright= en-aut-name=MAURERRobert en-aut-sei=MAURER en-aut-mei=Robert kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=HARKERStuart en-aut-sei=HARKER en-aut-mei=Stuart kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=SUZUKIShigeyuki en-aut-sei=SUZUKI en-aut-mei=Shigeyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=WHEELERAllan en-aut-sei=WHEELER en-aut-mei=Allan kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= affil-num=1 en-affil= kn-affil=Maurer Associates C/o Wellhead Metering Systems affil-num=2 en-affil= kn-affil=Morningside Petroleum Geology Consultancy Ltd. affil-num=3 en-affil= kn-affil=Department of Earth Sciences, Okayama University affil-num=4 en-affil= kn-affil=Professional editor of publications en-keyword=Differential circumferential tensile force kn-keyword=Differential circumferential tensile force en-keyword=Rotating Earth kn-keyword=Rotating Earth en-keyword=Offset centre of mass kn-keyword=Offset centre of mass en-keyword=radius of eccentricity kn-keyword=radius of eccentricity END start-ver=1.4 cd-journal=joma no-vol=113 cd-vols= no-issue= article-no= start-page=41 end-page=48 dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=20240201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Instant estimation of rice yield using ground-based RGB images and its potential applicability to UAV en-subtitle= kn-subtitle= en-abstract= kn-abstract=Rice (Oryza sativa L.) is one of the most important cereals, which provides 20% of the world’s food energy. However, its productivity is poorly assessed especially in the global South. Here, we provide a first study to perform a deep learning-based approach for instantaneously estimating rice yield using RGB images. During ripening stage and at harvest, over 22,000 digital images were captured vertically downwards over the rice canopy from a distance of 0.8 to 0.9m at 4,820 harvesting plots having the yield of 0.1 to 16.1 t ha-1 across six countries in Africa and Japan. A convolutional neural network (CNN) applied to these data at harvest predicted 68% variation in yield with a relative root mean square error (rRMSE) of 0.22. Even when the resolution of images was reduced (from 0.2 to 3.2cm pixel-1 of ground sampling distance), the model could predict 57% variation in yield, implying that this approach can be scaled by use of unmanned aerial vehicles. Our work offers low-cost, hands-on, and rapid approach for high throughput phenotyping, and can lead to impact assessment of productivity-enhancing interventions, detection of fields where these are needed to sustainably increase crop production. en-copyright= kn-copyright= en-aut-name=TanakaYu en-aut-sei=Tanaka en-aut-mei=Yu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=WatanabeTomoya en-aut-sei=Watanabe en-aut-mei=Tomoya kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=KatsuraKeisuke en-aut-sei=Katsura en-aut-mei=Keisuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=TsujimotoYasuhiro en-aut-sei=Tsujimoto en-aut-mei=Yasuhiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=TakaiToshiyuki en-aut-sei=Takai en-aut-mei=Toshiyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= en-aut-name=TanakaTakashi Sonam Tashi en-aut-sei=Tanaka en-aut-mei=Takashi Sonam Tashi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=6 ORCID= en-aut-name=KawamuraKensuke en-aut-sei=Kawamura en-aut-mei=Kensuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=7 ORCID= en-aut-name=SaitoHiroki en-aut-sei=Saito en-aut-mei=Hiroki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=8 ORCID= en-aut-name=HommaKoki en-aut-sei=Homma en-aut-mei=Koki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=9 ORCID= en-aut-name=MairouaSalifou Goube en-aut-sei=Mairoua en-aut-mei=Salifou Goube kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=10 ORCID= en-aut-name=AhouantonKokou en-aut-sei=Ahouanton en-aut-mei=Kokou kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=11 ORCID= en-aut-name=IbrahimAli en-aut-sei=Ibrahim en-aut-mei=Ali kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=12 ORCID= en-aut-name=SenthilkumarKalimuthu en-aut-sei=Senthilkumar en-aut-mei=Kalimuthu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=13 ORCID= en-aut-name=SemwalVimal Kumar en-aut-sei=Semwal en-aut-mei=Vimal Kumar kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=14 ORCID= en-aut-name=MatuteEduardo Jose Graterol en-aut-sei=Matute en-aut-mei=Eduardo Jose Graterol kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=15 ORCID= en-aut-name=CorredorEdgar en-aut-sei=Corredor en-aut-mei=Edgar kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=16 ORCID= en-aut-name=El-NamakyRaafat en-aut-sei=El-Namaky en-aut-mei=Raafat kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=17 ORCID= en-aut-name=ManigbasNorvie en-aut-sei=Manigbas en-aut-mei=Norvie kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=18 ORCID= en-aut-name=QuilangEduardo Jimmy P. en-aut-sei=Quilang en-aut-mei=Eduardo Jimmy P. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=19 ORCID= en-aut-name=IwahashiYu en-aut-sei=Iwahashi en-aut-mei=Yu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=20 ORCID= en-aut-name=NakajimaKota en-aut-sei=Nakajima en-aut-mei=Kota kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=21 ORCID= en-aut-name=TakeuchiEisuke en-aut-sei=Takeuchi en-aut-mei=Eisuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=22 ORCID= en-aut-name=SaitoKazuki en-aut-sei=Saito en-aut-mei=Kazuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=23 ORCID= affil-num=1 en-affil=Graduate School of Environmental, Life, Natural Science and Technology, Okayama University kn-affil= affil-num=2 en-affil=Graduate School of Mathematics, Kyushu University kn-affil= affil-num=3 en-affil=Graduate School of Agriculture, Tokyo University of Agriculture and Technology kn-affil= affil-num=4 en-affil=Japan International Research Center for Agricultural Sciences kn-affil= affil-num=5 en-affil=Japan International Research Center for Agricultural Sciences kn-affil= affil-num=6 en-affil=Faculty of Biological Sciences, Gifu UniversityFaculty of Biological Sciences, Gifu University kn-affil= affil-num=7 en-affil=Japan International Research Center for Agricultural Sciences kn-affil= affil-num=8 en-affil=Tropical Agriculture Research Front, Japan International Research Center for Agricultural Sciences kn-affil= affil-num=9 en-affil=Graduate School of Agricultural Science, Tohoku University kn-affil= affil-num=10 en-affil=Africa Rice Center (AfricaRice) kn-affil= affil-num=11 en-affil=Africa Rice Center (AfricaRice) kn-affil= affil-num=12 en-affil=Africa Rice Center (AfricaRice), Regional Station for the Sahel kn-affil= affil-num=13 en-affil=Africa Rice Center (AfricaRice) kn-affil= affil-num=14 en-affil=Africa Rice Center (AfricaRice), Nigeria Station kn-affil= affil-num=15 en-affil=Latin American Fund for Irrigated Rice - The Alliance of Bioversity International and CIAT kn-affil= affil-num=16 en-affil=Latin American Fund for Irrigated Rice - The Alliance of Bioversity International and CIAT kn-affil= affil-num=17 en-affil=Rice Research and Training Center, Field Crops Research Institute kn-affil= affil-num=18 en-affil=Philippine Rice Research Institute (PhilRice) kn-affil= affil-num=19 en-affil=Philippine Rice Research Institute (PhilRice) kn-affil= affil-num=20 en-affil=Graduate School of Agriculture, Kyoto University kn-affil= affil-num=21 en-affil=Graduate School of Agriculture, Kyoto University kn-affil= affil-num=22 en-affil=Graduate School of Agriculture, Kyoto University kn-affil= affil-num=23 en-affil=Japan International Research Center for Agricultural Sciences kn-affil= en-keyword=Rice (Oryza sativa L.) kn-keyword=Rice (Oryza sativa L.) en-keyword=rough grain yield kn-keyword=rough grain yield en-keyword=convolutional neural network kn-keyword=convolutional neural network en-keyword=RGB images kn-keyword=RGB images en-keyword=UAV kn-keyword=UAV END start-ver=1.4 cd-journal=joma no-vol=5 cd-vols= no-issue= article-no= start-page=0073 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2023 dt-pub=20230728 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Deep Learning Enables Instant and Versatile Estimation of Rice Yield Using Ground-Based RGB Images en-subtitle= kn-subtitle= en-abstract= kn-abstract=Rice (Oryza sativa L.) is one of the most important cereals, which provides 20% of the world’s food energy. However, its productivity is poorly assessed especially in the global South. Here, we provide a first study to perform a deep-learning-based approach for instantaneously estimating rice yield using red-green-blue images. During ripening stage and at harvest, over 22,000 digital images were captured vertically downward over the rice canopy from a distance of 0.8 to 0.9 m at 4,820 harvesting plots having the yield of 0.1 to 16.1 t·ha−1 across 6 countries in Africa and Japan. A convolutional neural network applied to these data at harvest predicted 68% variation in yield with a relative root mean square error of 0.22. The developed model successfully detected genotypic difference and impact of agronomic interventions on yield in the independent dataset. The model also demonstrated robustness against the images acquired at different shooting angles up to 30° from right angle, diverse light environments, and shooting date during late ripening stage. Even when the resolution of images was reduced (from 0.2 to 3.2 cm·pixel−1 of ground sampling distance), the model could predict 57% variation in yield, implying that this approach can be scaled by the use of unmanned aerial vehicles. Our work offers low-cost, hands-on, and rapid approach for high-throughput phenotyping and can lead to impact assessment of productivity-enhancing interventions, detection of fields where these are needed to sustainably increase crop production, and yield forecast at several weeks before harvesting. en-copyright= kn-copyright= en-aut-name=TanakaYu en-aut-sei=Tanaka en-aut-mei=Yu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=WatanabeTomoya en-aut-sei=Watanabe en-aut-mei=Tomoya kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=KatsuraKeisuke en-aut-sei=Katsura en-aut-mei=Keisuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=TsujimotoYasuhiro en-aut-sei=Tsujimoto en-aut-mei=Yasuhiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=TakaiToshiyuki en-aut-sei=Takai en-aut-mei=Toshiyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= en-aut-name=TanakaTakashi Sonam Tashi en-aut-sei=Tanaka en-aut-mei=Takashi Sonam Tashi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=6 ORCID= en-aut-name=KawamuraKensuke en-aut-sei=Kawamura en-aut-mei=Kensuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=7 ORCID= en-aut-name=SaitoHiroki en-aut-sei=Saito en-aut-mei=Hiroki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=8 ORCID= en-aut-name=HommaKoki en-aut-sei=Homma en-aut-mei=Koki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=9 ORCID= en-aut-name=MairouaSalifou Goube en-aut-sei=Mairoua en-aut-mei=Salifou Goube kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=10 ORCID= en-aut-name=AhouantonKokou en-aut-sei=Ahouanton en-aut-mei=Kokou kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=11 ORCID= en-aut-name=IbrahimAli en-aut-sei=Ibrahim en-aut-mei=Ali kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=12 ORCID= en-aut-name=SenthilkumarKalimuthu en-aut-sei=Senthilkumar en-aut-mei=Kalimuthu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=13 ORCID= en-aut-name=SemwalVimal Kumar en-aut-sei=Semwal en-aut-mei=Vimal Kumar kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=14 ORCID= en-aut-name=MatuteEduardo Jose Graterol en-aut-sei=Matute en-aut-mei=Eduardo Jose Graterol kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=15 ORCID= en-aut-name=CorredorEdgar en-aut-sei=Corredor en-aut-mei=Edgar kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=16 ORCID= en-aut-name=El-NamakyRaafat en-aut-sei=El-Namaky en-aut-mei=Raafat kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=17 ORCID= en-aut-name=ManigbasNorvie en-aut-sei=Manigbas en-aut-mei=Norvie kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=18 ORCID= en-aut-name=QuilangEduardo Jimmy P. en-aut-sei=Quilang en-aut-mei=Eduardo Jimmy P. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=19 ORCID= en-aut-name=IwahashiYu en-aut-sei=Iwahashi en-aut-mei=Yu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=20 ORCID= en-aut-name=NakajimaKota en-aut-sei=Nakajima en-aut-mei=Kota kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=21 ORCID= en-aut-name=TakeuchiEisuke en-aut-sei=Takeuchi en-aut-mei=Eisuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=22 ORCID= en-aut-name=SaitoKazuki en-aut-sei=Saito en-aut-mei=Kazuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=23 ORCID= affil-num=1 en-affil=Graduate School of Environmental, Life, Natural Science and Technology, Okayama University kn-affil= affil-num=2 en-affil=Graduate School of Mathematics, Kyushu University kn-affil= affil-num=3 en-affil=Graduate School of Agriculture, Tokyo University of Agriculture and Technology kn-affil= affil-num=4 en-affil=Japan International Research Center for Agricultural Sciences kn-affil= affil-num=5 en-affil=Japan International Research Center for Agricultural Sciences kn-affil= affil-num=6 en-affil=Graduate School of Environmental, Life, Natural Science and Technology, Okayama University kn-affil= affil-num=7 en-affil=Japan International Research Center for Agricultural Sciences kn-affil= affil-num=8 en-affil=Tropical Agriculture Research Front, Japan International Research Center for Agricultural Sciences kn-affil= affil-num=9 en-affil=Graduate School of Agricultural Science, Tohoku University kn-affil= affil-num=10 en-affil=Africa Rice Center (AfricaRice) kn-affil= affil-num=11 en-affil=Africa Rice Center (AfricaRice) kn-affil= affil-num=12 en-affil=Africa Rice Center (AfricaRice), Regional Station for the Sahel kn-affil= affil-num=13 en-affil=Africa Rice Center (AfricaRice) kn-affil= affil-num=14 en-affil=Africa Rice Center (AfricaRice), Nigeria Station kn-affil= affil-num=15 en-affil=Latin American Fund for Irrigated Rice - The Alliance of Bioversity International and CIAT kn-affil= affil-num=16 en-affil=Latin American Fund for Irrigated Rice - The Alliance of Bioversity International and CIAT kn-affil= affil-num=17 en-affil=Rice Research and Training Center, Field Crops Research Institute, ARC kn-affil= affil-num=18 en-affil=Philippine Rice Research Institute (PhilRice) kn-affil= affil-num=19 en-affil=Philippine Rice Research Institute (PhilRice) kn-affil= affil-num=20 en-affil=Graduate School of Agriculture, Kyoto University kn-affil= affil-num=21 en-affil=Graduate School of Agriculture, Kyoto University kn-affil= affil-num=22 en-affil=Graduate School of Agriculture, Kyoto University kn-affil= affil-num=23 en-affil=Graduate School of Agriculture, Kyoto University kn-affil= END start-ver=1.4 cd-journal=joma no-vol=66 cd-vols= no-issue=1 article-no= start-page=171 end-page=187 dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=202401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Note on smoothness condition on tropical elliptic curves of symmetric truncated cubic forms en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this work, we provide explicit conditions for the coeffi-cients of a symmetric truncated cubic to give a smooth tropical curve. We also examine non-smooth cases corresponding to some specific sub-division types. en-copyright= kn-copyright= en-aut-name=TarmidiRani Sasmita en-aut-sei=Tarmidi en-aut-mei=Rani Sasmita kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, Graduate School of Science, Osaka University kn-affil= en-keyword=tropical curves kn-keyword=tropical curves en-keyword=smooth tropical curves kn-keyword=smooth tropical curves en-keyword=symmetric truncated cubic kn-keyword=symmetric truncated cubic END start-ver=1.4 cd-journal=joma no-vol=66 cd-vols= no-issue=1 article-no= start-page=159 end-page=169 dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=202401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Duality-reflection formulas of multiple polylogarithms and their ℓ-adic Galois analogues en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we derive formulas of complex and ℓ-adic multiple polylogarithms, which have two aspects: a duality in terms of indexes and a reflection in terms of variables. We provide an algebraic proof of these formulas by using algebraic relations between associators arising from the S3-symmetry of the projective line minus three points. en-copyright= kn-copyright= en-aut-name=ShiraishiDensuke en-aut-sei=Shiraishi en-aut-mei=Densuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, Graduate School of Science, Osaka University kn-affil= en-keyword=multiple polylogarithm kn-keyword=multiple polylogarithm en-keyword=ℓ-adic Galois multiple polylogarithm kn-keyword=ℓ-adic Galois multiple polylogarithm en-keyword=duality-reflection formula kn-keyword=duality-reflection formula END start-ver=1.4 cd-journal=joma no-vol=66 cd-vols= no-issue=1 article-no= start-page=135 end-page=157 dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=202401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Several homotopy fixed point spectral sequences in telescopically localized algebraic K-theory en-subtitle= kn-subtitle= en-abstract= kn-abstract=Let n ≥ 1, p a prime, and T(n) any representative of the Bousfield class of the telescope v−1n F(n) of a finite type n complex. Also, let En be the Lubin-Tate spectrum, K(En) its algebraic K-theory spectrum, and Gn the extended Morava stabilizer group, a profinite group. Motivated by an Ausoni-Rognes conjecture, we show that there are two spectral sequences
IEs,t2 ⇒ πt−s((LT(n+1)K(En))hGn) ⇐ IIEs,t2
with common abutment π∗(−) of the continuous homotopy fixed points of LT(n+1)K(En), where IEs,t2 is continuous cohomology with coefficients in a certain tower of discrete Gn-modules. If the tower satisfies the Mittag-Leffler condition, then there are isomorphisms with continuous cochain cohomology groups:
IE∗,∗2 ≅ H∗cts(Gn, π∗(LT(n+1)K(En))) ≅ IIE∗,∗2.
We isolate two hypotheses, the first of which is true when (n, p) = (1, 2), that imply (LT(n+1)K(En))hGn ≃ LT(n+1)K(LK(n)S0). Also, we show that there is a spectral sequence
Hscts(Gn, πt(K(En) ⊗ T(n + 1))) ⇒ πt−s((K(En) ⊗ T(n + 1))hGn). en-copyright= kn-copyright= en-aut-name=DavisDaniel G. en-aut-sei=Davis en-aut-mei=Daniel G. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, University of Louisiana at Lafayette kn-affil= en-keyword=Algebraic K-theory spectrum kn-keyword=Algebraic K-theory spectrum en-keyword=continuous homotopy fixed point spectrum kn-keyword=continuous homotopy fixed point spectrum en-keyword=Lubin-Tate spectrum kn-keyword=Lubin-Tate spectrum en-keyword=Morava stabilizer group kn-keyword=Morava stabilizer group en-keyword=homotopy fixed point spectral sequence kn-keyword=homotopy fixed point spectral sequence en-keyword=telescopic localization kn-keyword=telescopic localization END start-ver=1.4 cd-journal=joma no-vol=66 cd-vols= no-issue=1 article-no= start-page=125 end-page=133 dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=202401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A subclass of strongly close-to-convex functions associated with Janowski function en-subtitle= kn-subtitle= en-abstract= kn-abstract=The aim of this paper is to introduce a new subclass of strongly close-to-convex functions by subordinating to Janowski function. Certain properties such as coefficient estimates, distortion theorem, argument theorem, inclusion relations and radius of convexity are established for this class. The results obtained here will generalize various earlier known results. en-copyright= kn-copyright= en-aut-name=SinghGagandeep en-aut-sei=Singh en-aut-mei=Gagandeep kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=SinghGurcharanjit en-aut-sei=Singh en-aut-mei=Gurcharanjit kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Mathematics, Khalsa College kn-affil= affil-num=2 en-affil=Department of Mathematics, G.N.D.U. College kn-affil= en-keyword=Analytic functions kn-keyword=Analytic functions en-keyword=Subordination kn-keyword=Subordination en-keyword=Janowski-type function kn-keyword=Janowski-type function en-keyword=Close-to-convex functions kn-keyword=Close-to-convex functions en-keyword=Distortion theorem kn-keyword=Distortion theorem en-keyword=Argument theorem kn-keyword=Argument theorem en-keyword=Coefficient bounds kn-keyword=Coefficient bounds END start-ver=1.4 cd-journal=joma no-vol=66 cd-vols= no-issue=1 article-no= start-page=115 end-page=124 dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=202401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A combinatorial integration on the Cantor dust en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we generalize the Cantor function to 2-dimensional cubes and construct a cyclic 2-cocycle on the Cantor dust. This cocycle is non-trivial on the pullback of the smooth functions on the 2-dimensional torus with the generalized Cantor function while it vanishes on the Lipschitz functions on the Cantor dust. The cocycle is calculated through the integration of 2-forms on the torus by using a combinatorial Fredholm module. en-copyright= kn-copyright= en-aut-name=MaruyamaTakashi en-aut-sei=Maruyama en-aut-mei=Takashi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=SetoTatsuki en-aut-sei=Seto en-aut-mei=Tatsuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Engineering, Stanford University kn-affil= affil-num=2 en-affil=General Education and Research Center, Meiji Pharmaceutical University kn-affil= en-keyword=Fredholm module kn-keyword=Fredholm module en-keyword=Cantor dust kn-keyword=Cantor dust en-keyword=cyclic cocycle kn-keyword=cyclic cocycle END start-ver=1.4 cd-journal=joma no-vol=66 cd-vols= no-issue=1 article-no= start-page=103 end-page=113 dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=202401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On G(A)Q of rings of finite representation type en-subtitle= kn-subtitle= en-abstract= kn-abstract=Let (A,m) be an excellent Henselian Cohen-Macaulay local ring of finite representation type. If the AR-quiver of A is known then by a result of Auslander and Reiten one can explicity compute G(A) the Grothendieck group of finitely generated A-modules. If the AR-quiver is not known then in this paper we give estimates of G(A)Q = G(A) ⊗Z Q when k = A/m is perfect. As an application we prove that if A is an excellent equi-characteristic Henselian Gornstein local ring of positive even dimension with char A/m ≠ 2, 3, 5 (and A/m perfect) then G(A)Q ≅ Q. en-copyright= kn-copyright= en-aut-name=PuthenpurakalTony J. en-aut-sei=Puthenpurakal en-aut-mei=Tony J. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, IIT Bombay kn-affil= en-keyword=Grothendieck group kn-keyword=Grothendieck group en-keyword=finite representation type kn-keyword=finite representation type en-keyword=AR sequence kn-keyword=AR sequence END start-ver=1.4 cd-journal=joma no-vol=66 cd-vols= no-issue=1 article-no= start-page=85 end-page=102 dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=202401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Positive solutions to a nonlinear three-point boundary value problem with singularity en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we discuss the existence and uniqueness of positive solutions to a singular boundary value problem of fractional differential equations with three-point integral boundary conditions. The nonlinear term f possesses singularity and also depends on the first-order derivative u′. Our approach is based on Leray-Schauder fixed point theorem and Banach contraction principle. Examples are presented to confirm the application of the main results. en-copyright= kn-copyright= en-aut-name=AkoredeMoses B. en-aut-sei=Akorede en-aut-mei=Moses B. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=ArawomoPeter O. en-aut-sei=Arawomo en-aut-mei=Peter O. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Mathematics, Faculty of Science, University of Ibadan kn-affil= affil-num=2 en-affil=Department of Mathematics, Faculty of Science, University of Ibadan kn-affil= en-keyword=Fractional derivative kn-keyword=Fractional derivative en-keyword=positive solutions kn-keyword=positive solutions en-keyword=singularity kn-keyword=singularity en-keyword=three-point boundary value problem kn-keyword=three-point boundary value problem en-keyword=cone kn-keyword=cone END start-ver=1.4 cd-journal=joma no-vol=66 cd-vols= no-issue=1 article-no= start-page=71 end-page=83 dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=202401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Harmonic partitions of positive integers and bosonic extension of Euler’s pentagonal number theorem en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we first propose a cohomological derivation of the celebrated Euler’s Pentagonal Number Theorem. Then we prove an identity that corresponds to a bosonic extension of the theorem. The proof corresponds to a cohomological re-derivation of Euler’s another celebrated identity. en-copyright= kn-copyright= en-aut-name=JinzenjiMasao en-aut-sei=Jinzenji en-aut-mei=Masao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TajimaYu en-aut-sei=Tajima en-aut-mei=Yu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Mathematics, Okayama University kn-affil= affil-num=2 en-affil=Division of Mathematics, Graduate School of Science, Hokkaido University kn-affil= en-keyword=partitions of integers kn-keyword=partitions of integers en-keyword=cohomology kn-keyword=cohomology en-keyword=Euler number kn-keyword=Euler number en-keyword=Euler’s pentagonal number theorem kn-keyword=Euler’s pentagonal number theorem END start-ver=1.4 cd-journal=joma no-vol=66 cd-vols= no-issue=1 article-no= start-page=63 end-page=69 dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=202401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Construction of families of dihedral quintic polynomials en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this article, we give two families of dihedral quintic polynomials by using the Weber sextic resolvent and a certain elliptic curve. en-copyright= kn-copyright= en-aut-name=KishiYasuhiro en-aut-sei=Kishi en-aut-mei=Yasuhiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=YamadaMei en-aut-sei=Yamada en-aut-mei=Mei kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Mathematics, Faculty of Education, Aichi University of Education kn-affil= affil-num=2 en-affil=Department of Mathematics, Faculty of Education, Aichi University of Education kn-affil= en-keyword=Quintic polynomials kn-keyword=Quintic polynomials en-keyword=Galois group kn-keyword=Galois group END start-ver=1.4 cd-journal=joma no-vol=66 cd-vols= no-issue=1 article-no= start-page=45 end-page=61 dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=202401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Dirac pairs on Jacobi algebroids en-subtitle= kn-subtitle= en-abstract= kn-abstract=We define Dirac pairs on Jacobi algebroids, which is a generalization of Dirac pairs on Lie algebroids introduced by Kosmann-Schwarzbach. We show the relationship between Dirac pairs on Lie and on Jacobi algebroids, and that Dirac pairs on Jacobi algebroids characterize several compatible structures on Jacobi algebroids. en-copyright= kn-copyright= en-aut-name=NakamuraTomoya en-aut-sei=Nakamura en-aut-mei=Tomoya kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Academic Support Center, Kogakuin University kn-affil= en-keyword=Dirac pair kn-keyword=Dirac pair en-keyword=Dirac structure kn-keyword=Dirac structure en-keyword=Jacobi algebroid kn-keyword=Jacobi algebroid en-keyword=Lie algebroid kn-keyword=Lie algebroid END start-ver=1.4 cd-journal=joma no-vol=66 cd-vols= no-issue=1 article-no= start-page=31 end-page=44 dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=202401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Game positions of multiple hook removing game en-subtitle= kn-subtitle= en-abstract= kn-abstract=Multiple Hook Removing Game (MHRG for short) introduced in [1] is an impartial game played in terms of Young diagrams. In this paper, we give a characterization of the set of all game positions in MHRG. As an application, we prove that for t ∈ Z≥0 and m, n ∈ N such that t ≤ m ≤ n, and a Young diagram Y contained in the rectangular Young diagram Yt,n of size t × n, Y is a game position in MHRG with Ym,n the starting position if and only if Y is a game position in MHRG with Yt,n−m+t the starting position, and also that the Grundy value of Y in the former MHRG is equal to that in the latter MHRG. en-copyright= kn-copyright= en-aut-name=MotegiYuki en-aut-sei=Motegi en-aut-mei=Yuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Graduate School of Pure and Applied Sciences, University of Tsukuba kn-affil= en-keyword=Young diagram kn-keyword=Young diagram en-keyword=hook kn-keyword=hook en-keyword=combinatorial game kn-keyword=combinatorial game en-keyword=Grundy value kn-keyword=Grundy value END start-ver=1.4 cd-journal=joma no-vol=66 cd-vols= no-issue=1 article-no= start-page=1 end-page=30 dt-received= dt-revised= dt-accepted= dt-pub-year=2024 dt-pub=202401 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Equivalence classes of dessins d’enfants with two vertices en-subtitle= kn-subtitle= en-abstract= kn-abstract=Let N be a positive integer. For any positive integer L ≤ N and any positive divisor r of N, we enumerate the equivalence classes of dessins d’enfants with N edges, L faces and two vertices whose representatives have automorphism groups of order r. Further, for any non-negative integer h, we enumerate the equivalence classes of dessins with N edges, h faces of degree 2 with h ≤ N, and two vertices whose representatives have automorphism group of order r. Our arguments are essentially based upon a natural one-to-one correspondence between the equivalence classes of all dessins with N edges and the equivalence classes of all pairs of permutations whose entries generate a transitive subgroup of the symmetric group of degree N. en-copyright= kn-copyright= en-aut-name=HorieMadoka en-aut-sei=Horie en-aut-mei=Madoka kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Graduate School of Science, Tohoku University kn-affil= en-keyword=dessin d’enfants kn-keyword=dessin d’enfants en-keyword=symmetric group kn-keyword=symmetric group en-keyword=combinatorics kn-keyword=combinatorics en-keyword=Riemann surface kn-keyword=Riemann surface END start-ver=1.4 cd-journal=joma no-vol=65 cd-vols= no-issue=8 article-no= start-page=6039 end-page=6055 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=20220411 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Identification of a Vitamin-D Receptor Antagonist, MeTC7, which Inhibits the Growth of Xenograft and Transgenic Tumors In Vivo en-subtitle= kn-subtitle= en-abstract= kn-abstract=Vitamin-D receptor (VDR) mRNA is overexpressed in neuroblastoma and carcinomas of lung, pancreas, and ovaries and predicts poor prognoses. VDR antagonists may be able to inhibit tumors that overexpress VDR. However, the current antagonists are arduous to synthesize and are only partial antagonists, limiting their use. Here, we show that the VDR antagonist MeTC7 (5), which can be synthesized from 7-dehydrocholesterol (6) in two steps, inhibits VDR selectively, suppresses the viability of cancer cell-lines, and reduces the growth of the spontaneous transgenic TH-MYCN neuroblastoma and xenografts in vivo. The VDR selectivity of 5 against RXRα and PPAR-γ was confirmed, and docking studies using VDR-LBD indicated that 5 induces major changes in the binding motifs, which potentially result in VDR antagonistic effects. These data highlight the therapeutic benefits of targeting VDR for the treatment of malignancies and demonstrate the creation of selective VDR antagonists that are easy to synthesize. en-copyright= kn-copyright= en-aut-name=KhazanNegar en-aut-sei=Khazan en-aut-mei=Negar kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KimKyu Kwang en-aut-sei=Kim en-aut-mei=Kyu Kwang kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=HansenJeanne N. en-aut-sei=Hansen en-aut-mei=Jeanne N. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=SinghNiloy A. en-aut-sei=Singh en-aut-mei=Niloy A. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=MooreTaylor en-aut-sei=Moore en-aut-mei=Taylor kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= en-aut-name=SnyderCameron W. A. en-aut-sei=Snyder en-aut-mei=Cameron W. A. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=6 ORCID= en-aut-name=PanditaRavina en-aut-sei=Pandita en-aut-mei=Ravina kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=7 ORCID= en-aut-name=StrawdermanMyla en-aut-sei=Strawderman en-aut-mei=Myla kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=8 ORCID= en-aut-name=FujiharaMichiko en-aut-sei=Fujihara en-aut-mei=Michiko kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=9 ORCID= en-aut-name=TakamuraYuta en-aut-sei=Takamura en-aut-mei=Yuta kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=10 ORCID= en-aut-name=JianYe en-aut-sei=Jian en-aut-mei=Ye kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=11 ORCID= en-aut-name=BattagliaNicholas en-aut-sei=Battaglia en-aut-mei=Nicholas kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=12 ORCID= en-aut-name=YanoNaohiro en-aut-sei=Yano en-aut-mei=Naohiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=13 ORCID= en-aut-name=TeramotoYuki en-aut-sei=Teramoto en-aut-mei=Yuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=14 ORCID= en-aut-name=ArnoldLeggy A. en-aut-sei=Arnold en-aut-mei=Leggy A. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=15 ORCID= en-aut-name=HopsonRussell en-aut-sei=Hopson en-aut-mei=Russell kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=16 ORCID= en-aut-name=KishorKeshav en-aut-sei=Kishor en-aut-mei=Keshav kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=17 ORCID= en-aut-name=NayakSneha en-aut-sei=Nayak en-aut-mei=Sneha kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=18 ORCID= en-aut-name=OjhaDebasmita en-aut-sei=Ojha en-aut-mei=Debasmita kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=19 ORCID= en-aut-name=SharonAshoke en-aut-sei=Sharon en-aut-mei=Ashoke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=20 ORCID= en-aut-name=AshtonJohn M. en-aut-sei=Ashton en-aut-mei=John M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=21 ORCID= en-aut-name=WangJian en-aut-sei=Wang en-aut-mei=Jian kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=22 ORCID= en-aut-name=MilanoMichael T. en-aut-sei=Milano en-aut-mei=Michael T. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=23 ORCID= en-aut-name=MiyamotoHiroshi en-aut-sei=Miyamoto en-aut-mei=Hiroshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=24 ORCID= en-aut-name=LinehanDavid C. en-aut-sei=Linehan en-aut-mei=David C. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=25 ORCID= en-aut-name=GerberScott A. en-aut-sei=Gerber en-aut-mei=Scott A. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=26 ORCID= en-aut-name=KawarNada en-aut-sei=Kawar en-aut-mei=Nada kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=27 ORCID= en-aut-name=SinghAjay P. en-aut-sei=Singh en-aut-mei=Ajay P. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=28 ORCID= en-aut-name=TabdanovErdem D. en-aut-sei=Tabdanov en-aut-mei=Erdem D. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=29 ORCID= en-aut-name=DokholyanNikolay V. en-aut-sei=Dokholyan en-aut-mei=Nikolay V. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=30 ORCID= en-aut-name=KakutaHiroki en-aut-sei=Kakuta en-aut-mei=Hiroki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=31 ORCID= en-aut-name=JurutkaPeter W. en-aut-sei=Jurutka en-aut-mei=Peter W. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=32 ORCID= en-aut-name=SchorNina F. en-aut-sei=Schor en-aut-mei=Nina F. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=33 ORCID= en-aut-name=Rowswell-TurnerRachael B. en-aut-sei=Rowswell-Turner en-aut-mei=Rachael B. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=34 ORCID= en-aut-name=SinghRakesh K. en-aut-sei=Singh en-aut-mei=Rakesh K. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=35 ORCID= en-aut-name=MooreRichard G. en-aut-sei=Moore en-aut-mei=Richard G. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=36 ORCID= affil-num=1 en-affil=Wilmot Cancer Institute and Division of Gynecologic Oncology, Department of Obstetrics and Gynecology, University of Rochester Medical Center kn-affil= affil-num=2 en-affil=Wilmot Cancer Institute and Division of Gynecologic Oncology, Department of Obstetrics and Gynecology, University of Rochester Medical Center kn-affil= affil-num=3 en-affil=Department of Pediatrics, University of Rochester Medical Center kn-affil= affil-num=4 en-affil=Wilmot Cancer Institute and Division of Gynecologic Oncology, Department of Obstetrics and Gynecology, University of Rochester Medical Center kn-affil= affil-num=5 en-affil=Wilmot Cancer Institute and Division of Gynecologic Oncology, Department of Obstetrics and Gynecology, University of Rochester Medical Center kn-affil= affil-num=6 en-affil=Wilmot Cancer Institute and Division of Gynecologic Oncology, Department of Obstetrics and Gynecology, University of Rochester Medical Center kn-affil= affil-num=7 en-affil=Wilmot Cancer Institute and Division of Gynecologic Oncology, Department of Obstetrics and Gynecology, University of Rochester Medical Center kn-affil= affil-num=8 en-affil=Department of Biostatistics and Computational Biology, University of Rochester Medical Center kn-affil= affil-num=9 en-affil=Division of Pharmaceutical Sciences, Okayama University Graduate School of Medicine, Dentistry and Pharmaceutical Sciences kn-affil= affil-num=10 en-affil=Division of Pharmaceutical Sciences, Okayama University Graduate School of Medicine, Dentistry and Pharmaceutical Sciences kn-affil= affil-num=11 en-affil=Division of Surgery and of Microbiology and Immunology, University of Rochester Medical Center kn-affil= affil-num=12 en-affil=Division of Surgery and of Microbiology and Immunology, University of Rochester Medical Center kn-affil= affil-num=13 en-affil=Department of Surgery, Division of Surgical Research, Rhode Island Hospital, Alpert Medical School of Brown University kn-affil= affil-num=14 en-affil=Department of Pathology and Laboratory Medicine, University of Rochester Medical Center kn-affil= affil-num=15 en-affil=Department of Chemistry and Biochemistry, University of Wisconsin Milwaukee kn-affil= affil-num=16 en-affil=Department of Chemistry, Brown University kn-affil= affil-num=17 en-affil=Department of Chemistry, Birla Institute of Technology kn-affil= affil-num=18 en-affil=Department of Chemistry, Birla Institute of Technology kn-affil= affil-num=19 en-affil=Department of Chemistry, Birla Institute of Technology kn-affil= affil-num=20 en-affil=Department of Chemistry, Birla Institute of Technology kn-affil= affil-num=21 en-affil=Genomics Core Facility, Wilmot Cancer Center, University of Rochester Medical Center kn-affil= affil-num=22 en-affil=Department of Pharmacology and Department of Biochemistry and Molecular Biology, Penn State College of Medicine, Penn State University kn-affil= affil-num=23 en-affil=Department of Radiation Oncology, University of Rochester Medical Center kn-affil= affil-num=24 en-affil=Department of Pathology and Laboratory Medicine, University of Rochester Medical Center kn-affil= affil-num=25 en-affil=Division of Surgery and of Microbiology and Immunology, University of Rochester Medical Center kn-affil= affil-num=26 en-affil=Division of Surgery and of Microbiology and Immunology, University of Rochester Medical Center kn-affil= affil-num=27 en-affil=Center for Breast Health and Gynecologic Oncology, Mercy Medical Center kn-affil= affil-num=28 en-affil=Rutgers, The State University of New Jersey kn-affil= affil-num=29 en-affil=CytoMechanobiology Laboratory, Department of Pharmacology, Penn State College of Medicine, Pennsylvania State University kn-affil= affil-num=30 en-affil=Department of Pharmacology and Department of Biochemistry and Molecular Biology, Penn State College of Medicine, Penn State University kn-affil= affil-num=31 en-affil=Division of Pharmaceutical Sciences, Okayama University Graduate School of Medicine, Dentistry and Pharmaceutical Sciences kn-affil= affil-num=32 en-affil=School of Mathematical and Natural Sciences, Arizona State University, Health Futures Center kn-affil= affil-num=33 en-affil=Departments of Pediatrics, Neurology, and Neuroscience, University of Rochester Medical Center kn-affil= affil-num=34 en-affil=Wilmot Cancer Institute and Division of Gynecologic Oncology, Department of Obstetrics and Gynecology, University of Rochester Medical Center kn-affil= affil-num=35 en-affil=Wilmot Cancer Institute and Division of Gynecologic Oncology, Department of Obstetrics and Gynecology, University of Rochester Medical Center kn-affil= affil-num=36 en-affil=Wilmot Cancer Institute and Division of Gynecologic Oncology, Department of Obstetrics and Gynecology, University of Rochester Medical Center kn-affil= END start-ver=1.4 cd-journal=joma no-vol=263 cd-vols= no-issue= article-no= start-page=133 end-page=166 dt-received= dt-revised= dt-accepted= dt-pub-year=2023 dt-pub=20230816 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The universal factorial Hall–Littlewood P- and Q-functions en-subtitle= kn-subtitle= en-abstract= kn-abstract=We introduce factorial analogues of the ordinary Hall–Littlewood P- and Q-polynomials, which we call the factorial Hall–Littlewood P- and Q-polynomials. Using the universal formal group law, we further generalize these polynomials to the universal factorial Hall–Littlewood P- and Q-functions. We show that these functions satisfy the vanishing property which the ordinary factorial Schur S-, P-, and Q-polynomials have. By the vanishing property, we derive the Pieri-type formula and a certain generalization of the classical hook formula. We then characterize our functions in terms of Gysin maps from flag bundles in complex cobordism theory. Using this characterization and Gysin formulas for flag bundles, we obtain generating functions for the universal factorial Hall–Littlewood P- and Q-functions. Using our generating functions, we show that our factorial Hall–Littlewood P- and Q-polynomials have a certain cancellation property. Further applications such as Pfaffian formulas for K-theoretic factorial Q-polynomials are also given. en-copyright= kn-copyright= en-aut-name=NakagawaMasaki en-aut-sei=Nakagawa en-aut-mei=Masaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=NaruseHiroshi en-aut-sei=Naruse en-aut-mei=Hiroshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Graduate School of Education Okayama University kn-affil= affil-num=2 en-affil=Graduate School of Education University of Yamanashi kn-affil= en-keyword=factorial Hall-Littlewood P-and Q-functions kn-keyword=factorial Hall-Littlewood P-and Q-functions en-keyword=generating func-tions kn-keyword=generating func-tions en-keyword=formal group laws kn-keyword=formal group laws en-keyword=complex cobordism theory kn-keyword=complex cobordism theory en-keyword=Gysin formulas kn-keyword=Gysin formulas END start-ver=1.4 cd-journal=joma no-vol=10 cd-vols= no-issue=37 article-no= start-page=20035 end-page=20047 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=20220809 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Effects of the rigid and sterically bulky structure of non-fused nonfullerene acceptors on transient photon-to-current dynamics en-subtitle= kn-subtitle= en-abstract= kn-abstract=Non-fused electron-accepting π-conjugated compounds have been investigated recently for application to nonfullerene acceptors (NFAs) in organic solar cells (OSCs). However, the establishment of rational molecular design for non-fused NFAs is still lagging because the influence of flexible non-fused structures on the dynamics of electron–hole pairs in OSCs is not entirely understood. In this study, we utilized cyclopentene-annelated thiophene with spiro-substituted 2,7-bis(2-ethylhexyl)fluorene (FT) as a rigid and sterically bulky linker unit and developed a non-fused NFA (TT–FT–DCI) containing FT units. Photophysical measurements indicated that the introduction of the FT unit leads to the formation of rigid molecular structure. OSCs based on donor polymer (PBDB-T) and TT–FT–DCI showed an improved power conversion efficiency of 7.13% due to the increase in the short-circuit current density and fill factor. Time-resolved optical and microwave spectroscopies showed that the FT unit contributes to the long lifetimes of excited state and charge-separated state in the PBDBT:TT–FT–DCI blend films. Time-resolved electron paramagnetic resonance measurements showed that the distant charge-separated states of the face-to-face PBDB-T:TT–FT–DCI structure, which is derived by avoiding over-crystallization by the steric bulkiness of TT–FT–DCI, can interact with the cathodes for preferential electron injection following charge generations. This study highlights that by using the rigid π-conjugated framework and suppressed self-aggregation of the non-fused acceptor, effective molecular design for the appropriate dynamics of photocurrent generation is possible. en-copyright= kn-copyright= en-aut-name=JinnaiSeihou en-aut-sei=Jinnai en-aut-mei=Seihou kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=MurayamaKasumi en-aut-sei=Murayama en-aut-mei=Kasumi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=NagaiKeisuke en-aut-sei=Nagai en-aut-mei=Keisuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=MineshitaMegumi en-aut-sei=Mineshita en-aut-mei=Megumi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=KatoKosaku en-aut-sei=Kato en-aut-mei=Kosaku kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= en-aut-name=MuraokaAzusa en-aut-sei=Muraoka en-aut-mei=Azusa kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=6 ORCID= en-aut-name=YamakataAkira en-aut-sei=Yamakata en-aut-mei=Akira kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=7 ORCID= en-aut-name=SaekiAkinori en-aut-sei=Saeki en-aut-mei=Akinori kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=8 ORCID= en-aut-name=KoboriYasuhiro en-aut-sei=Kobori en-aut-mei=Yasuhiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=9 ORCID= en-aut-name=IeYutaka en-aut-sei=Ie en-aut-mei=Yutaka kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=10 ORCID= affil-num=1 en-affil=The Institute of Scientific and Industrial Research (SANKEN), Osaka University kn-affil= affil-num=2 en-affil=Department of Chemistry, Graduate School of Science, Kobe University kn-affil= affil-num=3 en-affil=The Institute of Scientific and Industrial Research (SANKEN), Osaka University kn-affil= affil-num=4 en-affil=Department of Mathematics, Physics and Computer Science, Japan Women's University kn-affil= affil-num=5 en-affil=Graduate School of Natural Science & Technology, Okayama University kn-affil= affil-num=6 en-affil=Department of Mathematics, Physics and Computer Science, Japan Women's University kn-affil= affil-num=7 en-affil=Graduate School of Natural Science & Technology, Okayama University kn-affil= affil-num=8 en-affil=Department of Applied Chemistry, Graduate School of Engineering, Osaka University kn-affil= affil-num=9 en-affil=Department of Chemistry, Graduate School of Science, Kobe University kn-affil= affil-num=10 en-affil=The Institute of Scientific and Industrial Research (SANKEN), Osaka University kn-affil= END start-ver=1.4 cd-journal=joma no-vol=951 cd-vols= no-issue=2 article-no= start-page=L27 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2023 dt-pub=20230707 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Search for Astrophysical Electron Antineutrinos in Super-Kamiokande with 0.01% Gadolinium-loaded Water en-subtitle= kn-subtitle= en-abstract= kn-abstract=We report the first search result for the flux of astrophysical electron antineutrinos for energies O(10) MeV in the gadolinium-loaded Super-Kamiokande (SK) detector. In 2020 June, gadolinium was introduced to the ultrapure water of the SK detector in order to detect neutrons more efficiently. In this new experimental phase, SK-Gd, we can search for electron antineutrinos via inverse beta decay with efficient background rejection thanks to the high efficiency of the neutron tagging technique. In this paper, we report the result for the initial stage of SK-Gd, during 2020 August 26, and 2022 June 1 with a 22.5 x 552 kton center dot day exposure at 0.01% Gd mass concentration. No significant excess over the expected background in the observed events is found for the neutrino energies below 31.3 MeV. Thus, the flux upper limits are placed at the 90% confidence level. The limits and sensitivities are already comparable with the previous SK result with pure water (22.5 x 2970 kton center dot day) owing to the enhanced neutron tagging. Operation with Gd increased to 0.03% started in 2022 June. en-copyright= kn-copyright= en-aut-name=HaradaM. en-aut-sei=Harada en-aut-mei=M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Physics, Okayama University kn-affil= END start-ver=1.4 cd-journal=joma no-vol=16 cd-vols= no-issue=15 article-no= start-page=5677 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2023 dt-pub=20230728 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Features and Evolution of Global Energy Trade Patterns from the Perspective of Complex Networks en-subtitle= kn-subtitle= en-abstract= kn-abstract=As an integral part of economic trade, energy trade is crucial to international dynamics and national interests. In this study, an international energy trade network is constructed by abstracting countries as nodes and representing energy trade relations as edges. A variety of indicators are designed in terms of networks, nodes, bilaterals, and communities to analyze the temporal and spatial evolution of the global energy trade network from 2001 to 2020. The results indicate that network density and strength have been steadily increasing since the beginning of the 21st century. It is observed that the position of the United States as the core of the international energy market is being impacted by emerging developing countries, thus affecting the existing trade balance based on topological analysis. The weighted analysis of bilateral relations demonstrates that emerging countries such as China, Brazil, and Saudi Arabia are pursuing closer cooperation. The community analysis reveals that an increasing number of countries possess strong energy trade capabilities, resulting in a corresponding increase in energy trade volumes. en-copyright= kn-copyright= en-aut-name=CongYingnan en-aut-sei=Cong en-aut-mei=Yingnan kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=HouYufei en-aut-sei=Hou en-aut-mei=Yufei kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=JiangJiaming en-aut-sei=Jiang en-aut-mei=Jiaming kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=ChenShuangzi en-aut-sei=Chen en-aut-mei=Shuangzi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=CaiXiaojing en-aut-sei=Cai en-aut-mei=Xiaojing kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= affil-num=1 en-affil=Business School, China University of Political Science and Law kn-affil= affil-num=2 en-affil=Business School, China University of Political Science and Law kn-affil= affil-num=3 en-affil=Center for Artificial Intelligence and Mathematical Data Science, Okayama University kn-affil= affil-num=4 en-affil=School of Economics, Hebei University kn-affil= affil-num=5 en-affil=Graduate School of Humanities and Social Sciences, Okayama University kn-affil= en-keyword=energy trade kn-keyword=energy trade en-keyword=complex networks kn-keyword=complex networks en-keyword=topology kn-keyword=topology en-keyword=evolutionary properties kn-keyword=evolutionary properties END start-ver=1.4 cd-journal=joma no-vol=13 cd-vols= no-issue=1 article-no= start-page=5756 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2023 dt-pub=20230408 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Social aspects of collision avoidance: a detailed analysis of two-person groups and individual pedestrians en-subtitle= kn-subtitle= en-abstract= kn-abstract=Pedestrian groups are commonly found in crowds but research on their social aspects is comparatively lacking. To fill that void in literature, we study the dynamics of collision avoidance between pedestrian groups (in particular dyads) and individual pedestrians in an ecological environment, focusing in particular on (i) how such avoidance depends on the group's social relation (e.g. colleagues, couples, friends or families) and (ii) its intensity of social interaction (indicated by conversation, gaze exchange, gestures etc). By analyzing relative collision avoidance in the "center of mass" frame, we were able to quantify how much groups and individuals avoid each other with respect to the aforementioned properties of the group. A mathematical representation using a potential energy function is proposed to model avoidance and it is shown to provide a fair approximation to the empirical observations. We also studied the probability that the individuals disrupt the group by "passing through it" (termed as intrusion). We analyzed the dependence of the parameters of the avoidance model and of the probability of intrusion on groups' social relation and intensity of interaction. We confirmed that the stronger social bonding or interaction intensity is, the more prominent collision avoidance turns out. We also confirmed that the probability of intrusion is a decreasing function of interaction intensity and strength of social bonding. Our results suggest that such variability should be accounted for in models and crowd management in general. Namely, public spaces with strongly bonded groups (e.g. a family-oriented amusement park) may require a different approach compared to public spaces with loosely bonded groups (e.g. a business-oriented trade fair). en-copyright= kn-copyright= en-aut-name=GregorjAdrien en-aut-sei=Gregorj en-aut-mei=Adrien kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=YucelZeynep en-aut-sei=Yucel en-aut-mei=Zeynep kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=ZanlungoFrancesco en-aut-sei=Zanlungo en-aut-mei=Francesco kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=FelicianiClaudio en-aut-sei=Feliciani en-aut-mei=Claudio kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=KandaTakayuki en-aut-sei=Kanda en-aut-mei=Takayuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= affil-num=1 en-affil=Okayama University kn-affil= affil-num=2 en-affil=Okayama University kn-affil= affil-num=3 en-affil=Okayama University kn-affil= affil-num=4 en-affil=The University of Tokyo kn-affil= affil-num=5 en-affil=ATR International kn-affil= END start-ver=1.4 cd-journal=joma no-vol=164 cd-vols= no-issue= article-no= start-page=588 end-page=605 dt-received= dt-revised= dt-accepted= dt-pub-year=2023 dt-pub=202307 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Design of continuous-time recurrent neural networks with piecewise-linear activation function for generation of prescribed sequences of bipolar vectors en-subtitle= kn-subtitle= en-abstract= kn-abstract=A recurrent neural network (RNN) can generate a sequence of patterns as the temporal evolution of the output vector. This paper focuses on a continuous-time RNN model with a piecewise-linear activation function that has neither external inputs nor hidden neurons, and studies the problem of finding the parameters of the model so that it generates a given sequence of bipolar vectors. First, a sufficient condition for the model to generate the desired sequence is derived, which is expressed as a system of linear inequalities in the parameters. Next, three approaches to finding solutions of the system of linear inequalities are proposed: One is formulated as a convex quadratic programming problem and others are linear programming problems. Then, two types of sequences of bipolar vectors that can be generated by the model are presented. Finally, the case where the model generates a periodic sequence of bipolar vectors is considered, and a sufficient condition for the trajectory of the state vector to converge to a limit cycle is provided. en-copyright= kn-copyright= en-aut-name=TakahashiNorikazu en-aut-sei=Takahashi en-aut-mei=Norikazu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=YamakawaTsuyoshi en-aut-sei=Yamakawa en-aut-mei=Tsuyoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=MinetomaYasuhiro en-aut-sei=Minetoma en-aut-mei=Yasuhiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=NishiTetsuo en-aut-sei=Nishi en-aut-mei=Tetsuo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=MigitaTsuyoshi en-aut-sei=Migita en-aut-mei=Tsuyoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= affil-num=1 en-affil=Okayama University kn-affil= affil-num=2 en-affil=Kyushu University kn-affil= affil-num=3 en-affil=Kyushu University kn-affil= affil-num=4 en-affil=Kyushu University kn-affil= affil-num=5 en-affil=Okayama University kn-affil= en-keyword=Recurrent neural network kn-keyword=Recurrent neural network en-keyword=Piecewise-linear activation function kn-keyword=Piecewise-linear activation function en-keyword=Sequence kn-keyword=Sequence en-keyword=Bipolar vector kn-keyword=Bipolar vector en-keyword=Mathematical programming kn-keyword=Mathematical programming en-keyword=Limit cycle kn-keyword=Limit cycle END start-ver=1.4 cd-journal=joma no-vol=15 cd-vols= no-issue=9 article-no= start-page=7395 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2023 dt-pub=20230429 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Integrating Perspectives from Education for Sustainable Development to Foster Plant Awareness among Trainee Science Teachers: A Mixed Methods Study en-subtitle= kn-subtitle= en-abstract= kn-abstract=This mixed-method study aimed to investigate the efficacy of an intervention unit that integrates perspectives from Education for Sustainable Development (ESD) to foster plant awareness, within the context of botanical lessons for trainee science teachers. Third-year undergraduate students (n = 91) studying to become lower secondary school (grade 7-9) science teachers from a public university in East Java, Indonesia, participated in this study. Data were collected through a self-reported questionnaire, reflective journal entries, and focus group interviews. The findings revealed a statistically significant increase in the participants' attention and attitude towards plants, relative interest in plants, and self-efficacy in teaching plant-related topics. The triangulation of the analysis results from the reflective journals and focus group interviews demonstrated that through transformative learning, the participants' experiences, perceptions, and learning evolved throughout the intervention unit, leading to their more comprehensive understanding of plant-related issues and their connection to broader sustainability concerns. These findings imply that the integration of ESD perspectives into botanical education positively affects plant awareness. Future research could further investigate the long-term impact of integrating ESD perspectives on teacher training programs. en-copyright= kn-copyright= en-aut-name=Fiel'ardhKhalifatulloh en-aut-sei=Fiel'ardh en-aut-mei=Khalifatulloh kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=FardhaniIndra en-aut-sei=Fardhani en-aut-mei=Indra kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=FujiiHiroki en-aut-sei=Fujii en-aut-mei=Hiroki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil=Graduate School of Education, Okayama University kn-affil= affil-num=2 en-affil=Faculty of Mathematics and Natural Science, Universitas Negeri Malang kn-affil= affil-num=3 en-affil=Graduate School of Education, Okayama University kn-affil= en-keyword=education for sustainable development kn-keyword=education for sustainable development en-keyword=transformative learning kn-keyword=transformative learning en-keyword=botanical education kn-keyword=botanical education en-keyword=science teacher education kn-keyword=science teacher education en-keyword=plant awareness kn-keyword=plant awareness en-keyword=mixed-method study kn-keyword=mixed-method study en-keyword=Indonesia kn-keyword=Indonesia END start-ver=1.4 cd-journal=joma no-vol=107 cd-vols= no-issue=4 article-no= start-page=043114 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2023 dt-pub=20230413 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Measurement of Doppler effects in a cryogenic buffer-gas cell en-subtitle= kn-subtitle= en-abstract= kn-abstract=Buffer-gas cooling is a universal cooling technique for molecules and used for various purposes. One of its ap- plications is using molecules inside a buffer-gas cell for low-temperature spectroscopy. Although a high-intensity signal is expected in the cell, complex molecular dynamics is a drawback for precise spectroscopy. In this study, we performed high-resolution absorption spectroscopy of low -J transitions in the òΠ(0, 0, 0)-˜X²Σ+(0, 0, 0) band of calcium monohydroxide (CaOH). CaOH molecules were produced by laser ablation in a copper cell and cooled to ∼5 K using helium buffer gas. We probed the Doppler effects in a buffer-gas cell by injecting counterpropagating lasers inside the cell. The time evolutions of the Doppler width and shift were simulated using a dedicated Monte Carlo simulation and compared with data. en-copyright= kn-copyright= en-aut-name=HiramotoAyami en-aut-sei=Hiramoto en-aut-mei=Ayami kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=BabaMasaaki en-aut-sei=Baba en-aut-mei=Masaaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=EnomotoKatsunari en-aut-sei=Enomoto en-aut-mei=Katsunari kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=IwakuniKana en-aut-sei=Iwakuni en-aut-mei=Kana kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=KumaSusumu en-aut-sei=Kuma en-aut-mei=Susumu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= en-aut-name=TakahashiYuiki en-aut-sei=Takahashi en-aut-mei=Yuiki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=6 ORCID= en-aut-name=TobaruReo en-aut-sei=Tobaru en-aut-mei=Reo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=7 ORCID= en-aut-name=MiyamotoYuki en-aut-sei=Miyamoto en-aut-mei=Yuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=8 ORCID= affil-num=1 en-affil=Research Institute for Interdisciplinary Science, Okayama University kn-affil= affil-num=2 en-affil=Department of Chemistry, Graduate School of Science, Kyoto University kn-affil= affil-num=3 en-affil=Department of Physics, University of Toyama kn-affil= affil-num=4 en-affil=Institute for Laser Science, University of Electro-Communications kn-affil= affil-num=5 en-affil=Atomic, Molecular and Optical Physics Laboratory, RIKEN kn-affil= affil-num=6 en-affil=Division of Physics, Mathematics, and Astronomy, California Institute of Technology kn-affil= affil-num=7 en-affil=Research Institute for Interdisciplinary Science, Okayama University kn-affil= affil-num=8 en-affil=Research Institute for Interdisciplinary Science, Okayama University kn-affil= END start-ver=1.4 cd-journal=joma no-vol=16 cd-vols= no-issue=5 article-no= start-page=2221 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2023 dt-pub=20230224 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Technology Trend Analysis of Japanese Green Vehicle Powertrains Technology Using Patent Citation Data en-subtitle= kn-subtitle= en-abstract= kn-abstract=As automobiles are major contributors to greenhouse gas emissions, the technological shift towards vehicle powertrain systems is an attempt to lower problems such as emissions of carbon dioxide and nitrogen oxides. Patent data are the most reliable measure of business performance for applied research and development activities when investigating knowledge domains or technology evolution. This is the first study on Japanese patent citation data of the green vehicle powertrains technology industry, using the social network analysis method, which emphasizes centrality estimates and community detection. This study not only elucidates the knowledge by visualizing flow patterns but also provides a precious and congregative method for verifying important patents under the International Patent Classification system and grasping the trend of the new technology industry. This study detects leading companies, not only in terms of the number of patents but also the importance of the patents. The empirical result shows that the International Patent Classification (IPC) class that starts with "B60K", which includes hybrid electric vehicle (HEV) and battery electric vehicle (BEV), is more likely to be the technology trend in the green vehicle powertrains industry. en-copyright= kn-copyright= en-aut-name=JiangJiaming en-aut-sei=Jiang en-aut-mei=Jiaming kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=ZhaoYu en-aut-sei=Zhao en-aut-mei=Yu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Center for Artificial Intelligence and Mathematical Data Science, Okayama University kn-affil= affil-num=2 en-affil=School of Management, Department of Management, Tokyo University of Science kn-affil= en-keyword=patents kn-keyword=patents en-keyword=green innovation kn-keyword=green innovation en-keyword=social network analysis kn-keyword=social network analysis en-keyword=carbon reduction kn-keyword=carbon reduction en-keyword=transportation management kn-keyword=transportation management END start-ver=1.4 cd-journal=joma no-vol=34 cd-vols= no-issue=02 article-no= start-page=2350006 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2023 dt-pub=20230203 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Geometrical proof of generalized mirror transformation of projective hypersurfaces en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we propose a geometrical proof of the generalized mirror transformation of genus 0 Gromov–Witten invariants of degree k hypersurface in CPN-1 en-copyright= kn-copyright= en-aut-name=JinzenjiMasao en-aut-sei=Jinzenji en-aut-mei=Masao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, Okayama University kn-affil= en-keyword=Mirror symmetry kn-keyword=Mirror symmetry en-keyword=moduli space of quasimaps kn-keyword=moduli space of quasimaps en-keyword=excess intersection kn-keyword=excess intersection en-keyword=generalized mirror transformation kn-keyword=generalized mirror transformation END start-ver=1.4 cd-journal=joma no-vol=5 cd-vols= no-issue=1 article-no= start-page=161 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=20221129 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=High-resolution spectroscopy of buffer-gas-cooled phthalocyanine en-subtitle= kn-subtitle= en-abstract= kn-abstract=For over five decades, studies in the field of chemical physics and physical chemistry have primarily aimed to understand the quantum properties of molecules. However, high-resolution rovibronic spectroscopy has been limited to relatively small and simple systems because translationally and rotationally cold samples have not been prepared in sufficiently large quantities for large and complex systems. In this study, we present high-resolution rovibronic spectroscopy results for large gas-phase molecules, namely, free-base phthalocya-nine (FBPc). The findings suggest that buffer-gas cooling may be effective for large molecules introduced via laser ablation. High-resolution electronic spectroscopy, combined with other experimental and theoretical studies, will be useful in understanding the quantum properties of molecules. These findings also serve as a guide for quantum chemical calculations of large molecules. en-copyright= kn-copyright= en-aut-name=MiyamotoYuki en-aut-sei=Miyamoto en-aut-mei=Yuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TobaruReo en-aut-sei=Tobaru en-aut-mei=Reo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=TakahashiYuiki en-aut-sei=Takahashi en-aut-mei=Yuiki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=HiramotoAyami en-aut-sei=Hiramoto en-aut-mei=Ayami kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=IwakuniKana en-aut-sei=Iwakuni en-aut-mei=Kana kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= en-aut-name=KumaSusumu en-aut-sei=Kuma en-aut-mei=Susumu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=6 ORCID= en-aut-name=EnomotoKatsunari en-aut-sei=Enomoto en-aut-mei=Katsunari kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=7 ORCID= en-aut-name=BabaMasaaki en-aut-sei=Baba en-aut-mei=Masaaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=8 ORCID= affil-num=1 en-affil=Research Institute for Interdisciplinary Science, Okayama University kn-affil= affil-num=2 en-affil=Research Institute for Interdisciplinary Science, Okayama University kn-affil= affil-num=3 en-affil=Division of Physics, Mathematics, and Astronomy, California Institute of Technology kn-affil= affil-num=4 en-affil=Research Institute for Interdisciplinary Science, Okayama University kn-affil= affil-num=5 en-affil=Institute for Laser Science, University of Electro-Communications kn-affil= affil-num=6 en-affil=Atomic, Molecular and Optical Physics Laboratory, RIKEN kn-affil= affil-num=7 en-affil=5Department of Physics, University of Toyama kn-affil= affil-num=8 en-affil=Molecular Photoscience Research Center, Kobe University kn-affil= END start-ver=1.4 cd-journal=joma no-vol=76 cd-vols= no-issue=6 article-no= start-page=645 end-page=650 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202212 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Fetal Cerebellar Growth Curves Based on Biomathematics in Normally Developing Japanese Fetuses and Fetuses with Trisomy 18 en-subtitle= kn-subtitle= en-abstract= kn-abstract=We used biomathematics to describe and compare cerebellar growth in normally developing and trisomy 18 Japanese fetuses. This retrospective study included 407 singleton pregnancies with fetuses at 14-39 weeks of gestation and 33 fetuses with trisomy 18 at 17-35 weeks. We used ultrasonography to measure fetal transverse cerebellar diameter (TCD) and anteroposterior cerebellar diameter (APCD). We hypothesized that cerebellar growth is proportional to cerebellar length at any given time point. We determined the formula L(t) ≒Keat+r, where e is Napier’s number, t is time, L is cerebellar length, and a, K, and r are constants. We then obtained regression functions for each TCD and APCD in all fetuses. The regression equations for TCD and APCD values in normal fetuses, expressed as exponential functions, were TCD(t)=27.85e0.02788t−28.62 (mm) (adjusted R2=0.997), and APCD(t)=324.29e0.00286t−322.62 (mm) (adjusted R2=0.995). These functions indicated that TCD and APCD grew at constant rates of 2.788%/week and 0.286%/week, respectively, throughout gestation. TCD (0.0153%/week) and APCD (0.000430%/week) grew more slowly in trisomy 18 fetuses. This study demonstrates the potential of biomathematics in clinical research and may aid in biological understanding of fetal cerebellar growth. en-copyright= kn-copyright= en-aut-name=TadaKatsuhiko en-aut-sei=Tada en-aut-mei=Katsuhiko kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=MiyagiYasunari en-aut-sei=Miyagi en-aut-mei=Yasunari kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=KomatsuReina en-aut-sei=Komatsu en-aut-mei=Reina kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=OkimotoNaoki en-aut-sei=Okimoto en-aut-mei=Naoki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=TsukaharaSaya en-aut-sei=Tsukahara en-aut-mei=Saya kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= en-aut-name=TateishiYoko en-aut-sei=Tateishi en-aut-mei=Yoko kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=6 ORCID= en-aut-name=OokaNaomi en-aut-sei=Ooka en-aut-mei=Naomi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=7 ORCID= en-aut-name=YoshidaMizuho en-aut-sei=Yoshida en-aut-mei=Mizuho kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=8 ORCID= en-aut-name=KumazawaKazumasa en-aut-sei=Kumazawa en-aut-mei=Kazumasa kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=9 ORCID= affil-num=1 en-affil=Department of Obstetrics and Gynecology, National Hospital Organization, Okayama Medical Center kn-affil= affil-num=2 en-affil=Medical Data Labo kn-affil= affil-num=3 en-affil=Department of Obstetrics and Gynecology, Showa University Koto Toyosu Hospital kn-affil= affil-num=4 en-affil=Department of Obstetrics and Gynecology, National Hospital Organization, Okayama Medical Center kn-affil= affil-num=5 en-affil=Department of Obstetrics and Gynecology, National Hospital Organization, Okayama Medical Center kn-affil= affil-num=6 en-affil=Department of Obstetrics and Gynecology, National Hospital Organization, Okayama Medical Center kn-affil= affil-num=7 en-affil=Department of Obstetrics and Gynecology, National Hospital Organization, Okayama Medical Center kn-affil= affil-num=8 en-affil=Department of Obstetrics and Gynecology, National Hospital Organization, Okayama Medical Center kn-affil= affil-num=9 en-affil=Department of Obstetrics and Gynecology, National Hospital Organization, Okayama Medical Center kn-affil= en-keyword=biomathematics kn-keyword=biomathematics en-keyword=cerebellum kn-keyword=cerebellum en-keyword=fetus kn-keyword=fetus en-keyword=trisomy 18 syndrome kn-keyword=trisomy 18 syndrome en-keyword=ultrasonography kn-keyword=ultrasonography END start-ver=1.4 cd-journal=joma no-vol=65 cd-vols= no-issue=1 article-no= start-page=145 end-page=173 dt-received= dt-revised= dt-accepted= dt-pub-year=2023 dt-pub=202301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Positivity and Hierarchical Structure of four Green Functions Corresponding to a Bending Problem of a Beam on a half line en-subtitle= kn-subtitle= en-abstract= kn-abstract=We consider the boundary value problem for fourth order linear ordinary differential equation in a half line (0,∞), which represents bending of a beam on an elastic foundation under a tension. A tension is relatively stronger than a spring constant of elastic foundation. We here treat four self-adjoint boundary conditions, clamped, Dirichlet, Neumann and free edges, at x = 0. We show the positivity and the hierarchical structure of four Green functions. en-copyright= kn-copyright= en-aut-name=KametakaYoshinori en-aut-sei=Kametaka en-aut-mei=Yoshinori kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=WatanabeKohtaro en-aut-sei=Watanabe en-aut-mei=Kohtaro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=NagaiAtsushi en-aut-sei=Nagai en-aut-mei=Atsushi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=TakemuraKazuo en-aut-sei=Takemura en-aut-mei=Kazuo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=YamagishiHiroyuki en-aut-sei=Yamagishi en-aut-mei=Hiroyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= affil-num=1 en-affil=Faculty of Engineering Science, Osaka University kn-affil= affil-num=2 en-affil=Department of Computer Science, National Defense Academy kn-affil= affil-num=3 en-affil=Department of Computer Sciences, College of Liberal Arts, Tsuda University kn-affil= affil-num=4 en-affil=College of Science and Technology, Nihon University kn-affil= affil-num=5 en-affil=Tokyo Metropolitan College of Industrial Technology kn-affil= en-keyword=Green function kn-keyword=Green function en-keyword=boundary value problem kn-keyword=boundary value problem en-keyword=positivity kn-keyword=positivity en-keyword=hierarchical structure kn-keyword=hierarchical structure END start-ver=1.4 cd-journal=joma no-vol=65 cd-vols= no-issue=1 article-no= start-page=125 end-page=143 dt-received= dt-revised= dt-accepted= dt-pub-year=2023 dt-pub=202301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Traveling front solutions for perturbed reaction-diffusion equations en-subtitle= kn-subtitle= en-abstract= kn-abstract=Traveling front solutions have been studied for reaction-diffusion equations with various kinds of nonlinear terms. One of the interesting subjects is the existence and non-existence of them. In this paper, we prove that, if a traveling front solution exists for a reaction-diffusion equation with a nonlinear term, it also exists for a reaction-diffusion equation with a perturbed nonlinear term. In other words, a traveling front is robust under perturbation on a nonlinear term. en-copyright= kn-copyright= en-aut-name=WahWah en-aut-sei=Wah en-aut-mei=Wah kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TANIGUCHIMasaharu en-aut-sei=TANIGUCHI en-aut-mei=Masaharu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Research Institute for Interdisciplinary Science, Okayama University kn-affil= affil-num=2 en-affil=Research Institute for Interdisciplinary Science, Okayama University kn-affil= en-keyword=traveling front kn-keyword=traveling front en-keyword=existence kn-keyword=existence en-keyword=perturbation kn-keyword=perturbation en-keyword=reaction-diffusion equation kn-keyword=reaction-diffusion equation END start-ver=1.4 cd-journal=joma no-vol=65 cd-vols= no-issue=1 article-no= start-page=117 end-page=123 dt-received= dt-revised= dt-accepted= dt-pub-year=2023 dt-pub=202301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Note on Fields Generated by Jacobi Sums en-subtitle= kn-subtitle= en-abstract= kn-abstract=In the present paper, we study fields generated by Jacobi sums. In particular, we completely determine the field obtained by adjoining, to the field of rational numbers, all of the Jacobi sums “of two variables” with respect to a fixed maximal ideal of the ring of integers of a fixed prime-power cyclotomic field. en-copyright= kn-copyright= en-aut-name=HoshiYuichiro en-aut-sei=Hoshi en-aut-mei=Yuichiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Research Institute for Mathematical Sciences, Kyoto University kn-affil= en-keyword=Jacobi sum kn-keyword=Jacobi sum END start-ver=1.4 cd-journal=joma no-vol=65 cd-vols= no-issue=1 article-no= start-page=97 end-page=116 dt-received= dt-revised= dt-accepted= dt-pub-year=2023 dt-pub=202301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=An improvement of the integrability of the state space of the Φ43-process and the support of the Φ43-measure constructed by the limit of stationary processes of approximating stochastic quantization equations en-subtitle= kn-subtitle= en-abstract= kn-abstract=This is a remark paper for the Φ43 -measure and the associated flow on the torus which are constructed in [1] by the limit of the stationary processes of the stochastic quantization equations of approximation measures. We improve the integrability of the state space of the Φ43 -process and the support of the Φ43 -measure. For the improvement, we improve the estimates of the Hölder continuity in time of the solutions to approximation equations. In the present paper, we only discuss the estimates different from those in [1]. en-copyright= kn-copyright= en-aut-name=KusuokaSeiichiro en-aut-sei=Kusuoka en-aut-mei=Seiichiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, Graduate School of Science, Kyoto University kn-affil= en-keyword=stochastic quantization kn-keyword=stochastic quantization en-keyword= quantum field theory kn-keyword= quantum field theory en-keyword=singular SPDE kn-keyword=singular SPDE END start-ver=1.4 cd-journal=joma no-vol=65 cd-vols= no-issue=1 article-no= start-page=83 end-page=96 dt-received= dt-revised= dt-accepted= dt-pub-year=2023 dt-pub=202301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Non-Modular Solution of the Kaneko-Zagier Equations with respect to Fricke Groups of Low Levels en-subtitle= kn-subtitle= en-abstract= kn-abstract=Pavel Guerzhoy show that the Kaneko-Zagier equation for SL2(Z) has mixed mock mock modular solutions in certain weights. In this paper, we show that the Kaneko-Zagier equations for the Fricke groups of level 2 and 3 also have mixed mock modular solutions in certain weights. en-copyright= kn-copyright= en-aut-name=KinjoToshiteru en-aut-sei=Kinjo en-aut-mei=Toshiteru kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Graduate School of Mathematics, Kyushu University kn-affil= en-keyword=mixed mock modular forms kn-keyword=mixed mock modular forms en-keyword=weak harmonic Maass forms kn-keyword=weak harmonic Maass forms en-keyword=Kaneko-Zagier equation kn-keyword=Kaneko-Zagier equation END start-ver=1.4 cd-journal=joma no-vol=65 cd-vols= no-issue=1 article-no= start-page=35 end-page=81 dt-received= dt-revised= dt-accepted= dt-pub-year=2023 dt-pub=202301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Affine Kac-Moody Groups as Twisted Loop Groups obtained by Galois Descent Considerations en-subtitle= kn-subtitle= en-abstract= kn-abstract=We provide explicit generators and relations for the affine Kac-Moody groups, as well as a realization of them as (twisted) loop groups by means of Galois descent considerations. As a consequence, we show that the affine Kac-Moody group of type X(r) N is isomorphic to the fixed-point subgroup of the affine Kac-Moody group of type X(1) N under an action of the Galois group. en-copyright= kn-copyright= en-aut-name=MoritaJun en-aut-sei=Morita en-aut-mei=Jun kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=PianzolaArturo en-aut-sei=Pianzola en-aut-mei=Arturo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=ShibataTaiki en-aut-sei=Shibata en-aut-mei=Taiki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil=Institute of Mathematics, University of Tsukuba kn-affil= affil-num=2 en-affil=Department of Mathematical and Statistical Sciences, University of Alberta kn-affil= affil-num=3 en-affil=Department of Applied Mathematics, Okayama University of Science kn-affil= en-keyword=Affine Kac-Moody groups kn-keyword=Affine Kac-Moody groups en-keyword=Loop groups kn-keyword=Loop groups en-keyword=Twisted Chevalley groups kn-keyword=Twisted Chevalley groups END start-ver=1.4 cd-journal=joma no-vol=65 cd-vols= no-issue=1 article-no= start-page=23 end-page=34 dt-received= dt-revised= dt-accepted= dt-pub-year=2023 dt-pub=202301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=E(2)-local Picard graded beta elements at the prime three en-subtitle= kn-subtitle= en-abstract= kn-abstract=Let E(2) be the second Johnson-Wilson spectrum at the prime 3. In this paper, we show that some beta elements exist in the homotopy groups of the E(2)-localized sphere spectrum with a grading over the Picard group of the stable homotopy category of E(2)-local spectra. en-copyright= kn-copyright= en-aut-name=KatoRyo en-aut-sei=Kato en-aut-mei=Ryo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Faculty of Fundamental Science National Institute of Technology, Niihama college kn-affil= en-keyword=Stable homotopy of spheres kn-keyword=Stable homotopy of spheres en-keyword=Picard group kn-keyword=Picard group END start-ver=1.4 cd-journal=joma no-vol=65 cd-vols= no-issue=1 article-no= start-page=1 end-page=22 dt-received= dt-revised= dt-accepted= dt-pub-year=2023 dt-pub=202301 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A characterization of the class of Harada rings en-subtitle= kn-subtitle= en-abstract= kn-abstract=There are many characterizations of Harada rings. In this paper, we characterize right co-Harada rings by giving a characterization of the class of basic right co-Harada rings. en-copyright= kn-copyright= en-aut-name=KoikeKazutoshi en-aut-sei=Koike en-aut-mei=Kazutoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=National Institute of Technology, Okinawa College kn-affil= en-keyword=Harada rings kn-keyword=Harada rings en-keyword=QF rings kn-keyword=QF rings END start-ver=1.4 cd-journal=joma no-vol=12 cd-vols= no-issue=19 article-no= start-page=9472 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=20220921 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Machine Learning and Inverse Optimization for Estimation of Weighting Factors in Multi-Objective Production Scheduling Problems en-subtitle= kn-subtitle= en-abstract= kn-abstract=In recent years, scheduling optimization has been utilized in production systems. To construct a suitable mathematical model of a production scheduling problem, modeling techniques that can automatically select an appropriate objective function from historical data are necessary. This paper presents two methods to estimate weighting factors of the objective function in the scheduling problem from historical data, given the information of operation time and setup costs. We propose a machine learning-based method, and an inverse optimization-based method using the input/output data of the scheduling problems when the weighting factors of the objective function are unknown. These two methods are applied to a multi-objective parallel machine scheduling problem and a real-world chemical batch plant scheduling problem. The results of the estimation accuracy evaluation show that the proposed methods for estimating the weighting factors of the objective function are effective. en-copyright= kn-copyright= en-aut-name=TogoHidetoshi en-aut-sei=Togo en-aut-mei=Hidetoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=AsanumaKohei en-aut-sei=Asanuma en-aut-mei=Kohei kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=NishiTatsushi en-aut-sei=Nishi en-aut-mei=Tatsushi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=LiuZiang en-aut-sei=Liu en-aut-mei=Ziang kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= affil-num=1 en-affil=Graduate School of Natural Science and Technology, Okayama University kn-affil= affil-num=2 en-affil=Graduate School of Engineering Science, Osaka University kn-affil= affil-num=3 en-affil=Graduate School of Natural Science and Technology, Okayama University kn-affil= affil-num=4 en-affil=Graduate School of Natural Science and Technology, Okayama University kn-affil= en-keyword=multi-objective scheduling kn-keyword=multi-objective scheduling en-keyword=estimation kn-keyword=estimation en-keyword=weighting factors kn-keyword=weighting factors en-keyword=machine learning kn-keyword=machine learning en-keyword=simulated annealing kn-keyword=simulated annealing en-keyword=inverse optimization kn-keyword=inverse optimization END start-ver=1.4 cd-journal=joma no-vol=936 cd-vols= no-issue=2 article-no= start-page= end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202291 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Low-J Transitions in A˜2Π(0,0,0)−X˜2Σ+(0,0,0) Band of Buffer-gas-cooled CaOH en-subtitle= kn-subtitle= en-abstract= kn-abstract=Calcium monohydroxide radical (CaOH) is receiving an increasing amount of attention from the astrophysics community as it is expected to be present in the atmospheres of hot rocky super-Earth exoplanets as well as interstellar and circumstellar environments. Here, we report the high-resolution laboratory absorption spectroscopy on low-J transitions in A ˜ 2 Π ( 0 , 0 , 0 ) X ˜ 2 Σ + ( 0 , 0 , 0 ) band of buffer-gas-cooled CaOH. In total, 40 transitions out of the low-J states were assigned, including 27 transitions that have not been reported in previous literature. The determined rotational constants for both ground and excited states are in excellent agreement with previous literature, and the measurement uncertainty for the absolute transition frequencies was improved by more than a factor of 3. This will aid future interstellar, circumstellar, and atmospheric identifications of CaOH. The buffer-gas-cooling method employed here is a particularly powerful method to probe low-J transitions and is easily applicable to other astrophysical molecules. en-copyright= kn-copyright= en-aut-name=TakahashiYuiki en-aut-sei=Takahashi en-aut-mei=Yuiki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=BabaMasaaki en-aut-sei=Baba en-aut-mei=Masaaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=EnomotoKatsunari en-aut-sei=Enomoto en-aut-mei=Katsunari kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=HiramotoAyami en-aut-sei=Hiramoto en-aut-mei=Ayami kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=IwakuniKana en-aut-sei=Iwakuni en-aut-mei=Kana kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= en-aut-name=KumaSusumu en-aut-sei=Kuma en-aut-mei=Susumu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=6 ORCID= en-aut-name=TobaruReo en-aut-sei=Tobaru en-aut-mei=Reo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=7 ORCID= en-aut-name=MiyamotoYuki en-aut-sei=Miyamoto en-aut-mei=Yuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=8 ORCID= affil-num=1 en-affil=Division of Physics, Mathematics, and Astronomy, California Institute of Technology kn-affil= affil-num=2 en-affil=Department of Chemistry, Graduate School of Science, Kyoto University kn-affil= affil-num=3 en-affil=Department of Physics, University of Toyama kn-affil= affil-num=4 en-affil=Research Institute for Interdisciplinary Science, Okayama University kn-affil= affil-num=5 en-affil=Institute for Laser Science, University of Electro-Communications kn-affil= affil-num=6 en-affil=Atomic, Molecular and Optical Physics Laboratory, RIKEN kn-affil= affil-num=7 en-affil=Research Institute for Interdisciplinary Science, Okayama University kn-affil= affil-num=8 en-affil=Research Institute for Interdisciplinary Science, Okayama University kn-affil= END start-ver=1.4 cd-journal=joma no-vol=25 cd-vols= no-issue=8 article-no= start-page=104723 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=20220819 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Immune response to SARS-CoV-2 in severe disease and long COVID-19 en-subtitle= kn-subtitle= en-abstract= kn-abstract=COVID-19 is mild to moderate in otherwise healthy individuals but may nonetheless cause life-threatening disease and/or a wide range of persistent symptoms. The general determinant of disease severity is age mainly because the immune response declines in aging patients. Here, we developed a mathematical model of the immune response to SARS-CoV-2 and revealed that typical age-related risk factors such as only a several 10% decrease in innate immune cell activity and inhibition of type-I interferon signaling by autoantibodies drastil ally increased the viral load. It was reported that the numbers of certain dendritic cell subsets remained less than half those in healthy donors even seven months after infection. Hence, the inflammatory response was ongoing. Our model predicted the persistent DC reduction and showed that certain patients with severe and even mild symptoms could not effectively eliminate the virus and could potentially develop long COVID. en-copyright= kn-copyright= en-aut-name=SumiTomonari en-aut-sei=Sumi en-aut-mei=Tomonari kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=HaradaKouji en-aut-sei=Harada en-aut-mei=Kouji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Research Institute for Interdisciplinary Science, Okayama University kn-affil= affil-num=2 en-affil=Department of Computer Science and Engineering, Toyohashi University of Technology kn-affil= END start-ver=1.4 cd-journal=joma no-vol=19 cd-vols= no-issue=11 article-no= start-page=11047 end-page=11070 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=20220802 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Global stability of an age-structured infection model in vivo with two compartments and two routes en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, for an infection age model with two routes, virus-to-cell and cell-to-cell, and with two compartments, we show that the basic reproduction ratio R-0 gives the threshold of the stability. If R-0 > 1, the interior equilibrium is unique and globally stable, and if R-0 <= 1, the disease free equilibrium is globally stable. Some stability results are obtained in previous research, but, for example, a complete proof of the global stability of the disease equilibrium was not shown. We give the proof for all the cases, and show that we can use a type reproduction number for this model. en-copyright= kn-copyright= en-aut-name=KajiwaraTsuyoshi en-aut-sei=Kajiwara en-aut-mei=Tsuyoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=SasakiToru en-aut-sei=Sasaki en-aut-mei=Toru kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=OtaniYoji en-aut-sei=Otani en-aut-mei=Yoji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil=Graduate School of Environmental and Life Sciences, Okayama University kn-affil= affil-num=2 en-affil=Faculty of Environmental and Life Science, Okayama University kn-affil= affil-num=3 en-affil=School of Engineering, Okayama University kn-affil= en-keyword=global stability kn-keyword=global stability en-keyword=two routes of infection kn-keyword=two routes of infection en-keyword=two compartments kn-keyword=two compartments en-keyword=type reproduction number kn-keyword=type reproduction number en-keyword=lyapunov functional kn-keyword=lyapunov functional END start-ver=1.4 cd-journal=joma no-vol=12 cd-vols= no-issue=1 article-no= start-page=14172 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=20220819 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Visual hallucinations in dementia with Lewy bodies originate from necrosis of characteristic neurons and connections in three-module perception model en-subtitle= kn-subtitle= en-abstract= kn-abstract=Mathematical and computational approaches were used to investigate dementia with Lewy bodies (DLB), in which recurrent complex visual hallucinations (RCVH) is a very characteristic symptom. Beginning with interpretative analyses of pathological symptoms of patients with RCVH-DLB in comparison with the veridical perceptions of normal subjects, we constructed a three-module scenario concerning function giving rise to perception. The three modules were the visual input module, the memory module, and the perceiving module. Each module interacts with the others, and veridical perceptions were regarded as a certain convergence to one of the perceiving attractors sustained by self-consistent collective fields among the modules. Once a rather large but inhomogeneously distributed area of necrotic neurons and dysfunctional synaptic connections developed due to network disease, causing irreversible damage, then bottom-up information from the input module to both the memory and perceiving modules were severely impaired. These changes made the collective fields unstable and caused transient emergence of mismatched perceiving attractors. This may account for the reason why DLB patients see things that are not there. With the use of our computational model and experiments, the scenario was recreated with complex bifurcation phenomena associated with the destabilization of collective field dynamics in very high-dimensional state space. en-copyright= kn-copyright= en-aut-name=NaraShigetoshi en-aut-sei=Nara en-aut-mei=Shigetoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=FujiiHiroshi en-aut-sei=Fujii en-aut-mei=Hiroshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=TsukadaHiromichi en-aut-sei=Tsukada en-aut-mei=Hiromichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=TsudaIchiro en-aut-sei=Tsuda en-aut-mei=Ichiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= affil-num=1 en-affil=Graduate School of Natural Science & Technology, Okayama University kn-affil= affil-num=2 en-affil=Faculty of Information Science and Engineering, Kyoto Sangyo University kn-affil= affil-num=3 en-affil=Center for Mathematical Science and Artifcial Intelligence/Chubu University Academy of Emerging Sciences, Chubu University kn-affil= affil-num=4 en-affil=Chubu University Academy of Emerging Sciences/Center for Mathematical Science and Artifcial Intelligence, Chubu University kn-affil= END start-ver=1.4 cd-journal=joma no-vol=180 cd-vols= no-issue= article-no= start-page=104623 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202210 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Evaluation of Euler number of complex Grassmann manifold G(k,N) via Mathai-Quillen formalism en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we provide a recipe for computing Euler number of Grassmann manifold G(k, N) by using Mathai-Quillen formalism (MQ formalism) [9] and Atiyah-Jeffrey construc-tion [1]. Especially, we construct path-integral representation of Euler number of G(k, N). Our model corresponds to a finite dimensional toy-model of topological Yang-Mills theory which motivated Atiyah-Jeffrey construction. As a by-product, we construct free fermion realization of cohomology ring of G(k, N). en-copyright= kn-copyright= en-aut-name=ImanishiShoichiro en-aut-sei=Imanishi en-aut-mei=Shoichiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=JinzenjiMasao en-aut-sei=Jinzenji en-aut-mei=Masao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=KuwataKen en-aut-sei=Kuwata en-aut-mei=Ken kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil=Division of Mathematics, Graduate School of Science, Hokkaido University kn-affil= affil-num=2 en-affil=Department of Mathematics, Okayama University kn-affil= affil-num=3 en-affil=Department of General Education, National Institute of Technology, Kagawa College kn-affil= en-keyword=Supersymmetry kn-keyword=Supersymmetry en-keyword=Topological Yang-Mills theory kn-keyword=Topological Yang-Mills theory en-keyword=Schubert calculus kn-keyword=Schubert calculus en-keyword=Grassmann manifold kn-keyword=Grassmann manifold en-keyword=Grassmann variable kn-keyword=Grassmann variable END start-ver=1.4 cd-journal=joma no-vol=74 cd-vols= no-issue=2 article-no= start-page=521 end-page=548 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=20224 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Approximations of Lipschitz maps via Ehresmann fibrations and Reeb's sphere theorem for Lipschitz functions en-subtitle= kn-subtitle= en-abstract= kn-abstract=We show, as our main theorem, that if a Lipschitz map from a compact Riemannian manifold M to a connected compact Riemannian manifold N, where dim M ≥ dim N, has no singular points on M in the sense of Clarke, then the map admits a smooth approximation via Ehresmann fibrations. We also show the Reeb sphere theorem for Lipschitz functions, i.e., if a closed Riemannian manifold admits a Lipschitz function with exactly two singular points in the sense of Clarke, then the manifold is homeomorphic to the sphere. en-copyright= kn-copyright= en-aut-name=KondoKei en-aut-sei=Kondo en-aut-mei=Kei kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, Faculty of Science, Okayama University kn-affil= en-keyword=convex analysis kn-keyword=convex analysis en-keyword=Ehresmann fibration kn-keyword=Ehresmann fibration en-keyword=Lipschitz map kn-keyword=Lipschitz map en-keyword=nonsmooth analysis kn-keyword=nonsmooth analysis en-keyword=Reeb’s sphere theorem kn-keyword=Reeb’s sphere theorem en-keyword=smooth approximation kn-keyword=smooth approximation END start-ver=1.4 cd-journal=joma no-vol=226 cd-vols= no-issue=8 article-no= start-page=107026 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202208 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Indecomposable integrally closed modules of arbitrary rank over a two-dimensional regular local ring en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we construct indecomposable integrally closed modules of arbitrary rank over a two-dimensional regular local ring. The modules are quite explicitly constructed from a given complete monomial ideal. We also give structural and numerical results on integrally closed modules. These are used in the proof of indecomposability of the modules. As a consequence, we have a large class of indecomposable integrally closed modules of arbitrary rank whose ideal is not necessarily simple. This extends the original result on the existence of indecomposable integrally closed modules and strengthens the non-triviality of the theory developed by Kodiyalam. en-copyright= kn-copyright= en-aut-name=HayasakaFutoshi en-aut-sei=Hayasaka en-aut-mei=Futoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Environmental and Mathematical Sciences, Okayama University kn-affil= en-keyword=integral closure kn-keyword=integral closure en-keyword=indecomposable module kn-keyword=indecomposable module en-keyword=monomial ideal kn-keyword=monomial ideal en-keyword=regular local ring kn-keyword=regular local ring END start-ver=1.4 cd-journal=joma no-vol=66 cd-vols= no-issue= article-no= start-page=100934 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202206 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Cultural relevance of validation during mathematical modeling and word problem-solving: Reconceptualizing validation as an integration of possible fictional worlds en-subtitle= kn-subtitle= en-abstract= kn-abstract=This study proposes a theoretical view for bridging mathematical modeling and word problem-solving activities. We introduce and elaborate on two theoretical ideas of the fictionality of word problems and the creation of possible fictional worlds. A world described by a word problem exists only fictionally (or potentially). A fictional world includes any imaginable world, any model for the real world, and any mathematical model. We developed a semi-open problem based on these theoretical ideas and observed Japanese eighth-grade students’ activity when solving it in an experimental lesson. Consequently, we identified a theoretically overlooked type of validation: considering the cultural relevance of solutions. The most important implication we draw from our observation is that the current definition of validation as a comparison between two stages in modeling should be extended to consider the integration of a target into a base possible fictional world. en-copyright= kn-copyright= en-aut-name=IshibashiIppo en-aut-sei=Ishibashi en-aut-mei=Ippo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=UegataniYusuke en-aut-sei=Uegatani en-aut-mei=Yusuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Okayama University kn-affil= affil-num=2 en-affil=Hiroshima University High School kn-affil= en-keyword=Mathematical modeling kn-keyword=Mathematical modeling en-keyword=Mathematical word problem-solving kn-keyword=Mathematical word problem-solving en-keyword=Validation kn-keyword=Validation en-keyword=Fictionality of word problems kn-keyword=Fictionality of word problems en-keyword=Creation of possible fictional worlds kn-keyword=Creation of possible fictional worlds END start-ver=1.4 cd-journal=joma no-vol=73 cd-vols= no-issue=4 article-no= start-page=995 end-page=1018 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=20211022 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Moduli space of quasimaps from P-1 with two marked points to P(1,1,1,3) and j-invariant en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we construct toric data of moduli space of quasimaps of degree d from P1 with two marked points to weighted projective space P(1; 1; 1; 3). With this result, we prove that the moduli space is a compact toric orbifold. We also determine its Chow ring. Moreover, we give a proof of the conjecture proposed by Jinzenji that a series of intersection numbers of the moduli spaces coincides with expansion coefficients of inverse function of −log(j(T)). en-copyright= kn-copyright= en-aut-name=JINZENJIMasao en-aut-sei=JINZENJI en-aut-mei=Masao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=SAITOHayato en-aut-sei=SAITO en-aut-mei=Hayato kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Mathematics, Okayama University kn-affil= affil-num=2 en-affil=Prime Link Co., Ltd. kn-affil= END start-ver=1.4 cd-journal=joma no-vol=64 cd-vols= no-issue=1 article-no= start-page=215 end-page=225 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on a Hecke ring associated with the Heisenberg Lie algebra en-subtitle= kn-subtitle= en-abstract= kn-abstract=This paper focuses on the theory of the Hecke rings associated with the general linear groups originally studied by Hecke and Shimura et al., and moreover generalizes its notions to Hecke rings associated with the automorphism groups of certain algebras. Then, in the case of the Heisenberg Lie algebra, we show an analog of the classical theory. en-copyright= kn-copyright= en-aut-name=HyodoFumitake en-aut-sei=Hyodo en-aut-mei=Fumitake kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Health Informatics Faculty of Health and Welfare Services Administration Kawasaki University of Medical Welfare kn-affil= en-keyword=Hecke rings kn-keyword=Hecke rings en-keyword=noncommutative rings kn-keyword=noncommutative rings END start-ver=1.4 cd-journal=joma no-vol=64 cd-vols= no-issue=1 article-no= start-page=191 end-page=213 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Hook Formulas for Cylindric Skew Diagrams en-subtitle= kn-subtitle= en-abstract= kn-abstract=We present a conjectural hook formula concerning the number of the standard tableaux on "cylindric" skew diagrams. Our formula can be seen as an extension of Naruse's hook formula for skew diagrams. Moreover, we prove our conjecture in some special cases. en-copyright= kn-copyright= en-aut-name=SuzukiTakeshi en-aut-sei=Suzuki en-aut-mei=Takeshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=ToyosawaYoshitaka en-aut-sei=Toyosawa en-aut-mei=Yoshitaka kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Mathematics, Faculty of Science, Okayama University kn-affil= affil-num=2 en-affil=Graduate School of Natural Science and Technology, Okayama University kn-affil= END start-ver=1.4 cd-journal=joma no-vol=64 cd-vols= no-issue=1 article-no= start-page=187 end-page=190 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Symbolic powers of monomial ideals en-subtitle= kn-subtitle= en-abstract= kn-abstract=Let K be a field and consider the standard grading on A = K[X1, ... ,Xd]. Let I, J be monomial ideals in A. Let In(J) = (In : J) be the nth symbolic power of I with respect to J. It is easy to see that the function fI J (n) = e0(In(J)/In) is of quasi-polynomial type, say of period g and degree c. For n ≫ 0 say

fIJ (n) = ac(n)nc + ac−1(n)nc−1 + lower terms,

where for i = 0, ... , c, ai : N → Q are periodic functions of period g and ac ≠0. In [4, 2.4] we (together with Herzog and Verma) proved that dim In(J)/In is constant for n ≫ 0 and ac(−) is a constant. In this paper we prove that if I is generated by some elements of the same degree and height I ≥ 2 then ac−1(−) is also a constant. en-copyright= kn-copyright= en-aut-name=PuthenpurakalTony J. en-aut-sei=Puthenpurakal en-aut-mei=Tony J. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= en-keyword=quasi-polynomials kn-keyword=quasi-polynomials en-keyword=monomial ideals kn-keyword=monomial ideals en-keyword=symbolic powers kn-keyword=symbolic powers END start-ver=1.4 cd-journal=joma no-vol=64 cd-vols= no-issue=1 article-no= start-page=153 end-page=186 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Bijective proofs of the identities on the values of inner products of the Macdonald polynomials en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this article, we introduce some identities obtained from the inner products of some symmetric polynomials including the Macdonald polynomials. These identities are obtained not only from the inner products, but also by constructing certain bijections. The bijections are constructed through transforming the Young diagrams of partitions. en-copyright= kn-copyright= en-aut-name=NishiyamaYuta en-aut-sei=Nishiyama en-aut-mei=Yuta kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Graduate School of Science and Technology, Kumamoto University kn-affil= en-keyword=Macdonald polynomials kn-keyword=Macdonald polynomials en-keyword=Young diagram kn-keyword=Young diagram en-keyword=bijective proof kn-keyword=bijective proof END start-ver=1.4 cd-journal=joma no-vol=64 cd-vols= no-issue=1 article-no= start-page=143 end-page=151 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Quantum Sylvester-Franke Theorem en-subtitle= kn-subtitle= en-abstract= kn-abstract=A quantum version of classical Sylvester-Franke theorem is presented. After reviewing some representation theory of the quantum group GLq (n, C), the commutation relations of the matrix elements are verified. Once quantum determinant of the representation matrix is defined, the theorem follows naturally en-copyright= kn-copyright= en-aut-name=AokageKazuya en-aut-sei=Aokage en-aut-mei=Kazuya kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TabataSumitaka en-aut-sei=Tabata en-aut-mei=Sumitaka kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=YamadaHiro-Fumi en-aut-sei=Yamada en-aut-mei=Hiro-Fumi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil=Department of Mathematics, National Institute of Technology, Ariake College kn-affil= affil-num=2 en-affil=Department of Mathematics, Kumamoto University kn-affil= affil-num=3 en-affil=Department of Mathematics, Kumamoto University kn-affil= en-keyword=Quantum general linear group kn-keyword=Quantum general linear group en-keyword=Sylvester-Franke theorem kn-keyword=Sylvester-Franke theorem END start-ver=1.4 cd-journal=joma no-vol=64 cd-vols= no-issue=1 article-no= start-page=117 end-page=141 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=τ-tilting finiteness of two-point algebras I en-subtitle= kn-subtitle= en-abstract= kn-abstract=As the first attempt to classify τ-tilting finite two-point algebras, we have determined the τ-tilting finiteness for minimal wild two-point algebras and some tame two-point algebras. en-copyright= kn-copyright= en-aut-name=WangQi en-aut-sei=Wang en-aut-mei=Qi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University kn-affil= en-keyword=Support τ-tilting modules kn-keyword=Support τ-tilting modules en-keyword=τ-tilting finite kn-keyword=τ-tilting finite en-keyword=two-point algebras kn-keyword=two-point algebras END start-ver=1.4 cd-journal=joma no-vol=64 cd-vols= no-issue=1 article-no= start-page=109 end-page=116 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Notes on the filtration of the K-theory for abelian p-groups en-subtitle= kn-subtitle= en-abstract= kn-abstract=Let p be a prime number. For a given finite group G, let gr*γ(BG) be the associated ring of the gamma filtration of the topological K-theory for the classifying space BG. In this paper, we study gr*γ(BG) when G are abelian p-groups which are not elementary. In particular, we extend related Chetard’s results for such 2-groups to p-groups for odd p. en-copyright= kn-copyright= en-aut-name=YagitaNobuaki en-aut-sei=Yagita en-aut-mei=Nobuaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics Faculty of Education Ibaraki University kn-affil= en-keyword=K-theory kn-keyword=K-theory en-keyword=gamma fitration kn-keyword=gamma fitration en-keyword=abelian p-group kn-keyword=abelian p-group END start-ver=1.4 cd-journal=joma no-vol=64 cd-vols= no-issue=1 article-no= start-page=75 end-page=107 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Criteria for good reduction of hyperbolic polycurves en-subtitle= kn-subtitle= en-abstract= kn-abstract=We give good reduction criteria for hyperbolic polycurves, i.e., successive extensions of families of curves, under some assumptions. These criteria are higher dimensional versions of the good reduction criterion for hyperbolic curves given by Oda and Tamagawa. en-copyright= kn-copyright= en-aut-name=NagamachiIppei en-aut-sei=Nagamachi en-aut-mei=Ippei kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Research Institute for Mathematical Sciences, Kyoto University kn-affil= en-keyword=good reduction, kn-keyword=good reduction, en-keyword= hyperbolic curve, kn-keyword= hyperbolic curve, en-keyword=polyucurve, kn-keyword=polyucurve, en-keyword=ètale fundamental group. kn-keyword=ètale fundamental group. END start-ver=1.4 cd-journal=joma no-vol=64 cd-vols= no-issue=1 article-no= start-page=63 end-page=73 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Note on totally odd multiple zeta values en-subtitle= kn-subtitle= en-abstract= kn-abstract=A partial answer to a conjecture about the rank of the matrix CN,r introduced by Francis Brown in the study of totally odd multiple zeta values is given. en-copyright= kn-copyright= en-aut-name=TasakaKoji en-aut-sei=Tasaka en-aut-mei=Koji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= en-keyword=Multiple zeta values kn-keyword=Multiple zeta values en-keyword=Period polynomials kn-keyword=Period polynomials END start-ver=1.4 cd-journal=joma no-vol=64 cd-vols= no-issue=1 article-no= start-page=47 end-page=61 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On Weakly Separable Polynomials in skew polynomial rings en-subtitle= kn-subtitle= en-abstract= kn-abstract=The notion of weakly separable extensions was introduced by N. Hamaguchi and A. Nakajima as a generalization of separable extensions. The purpose of this article is to give a characterization of weakly separable polynomials in skew polynomial rings. Moreover, we shall show the relation between separability and weak separability in skew polynomial rings of derivation type. en-copyright= kn-copyright= en-aut-name=YamanakaSatoshi en-aut-sei=Yamanaka en-aut-mei=Satoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Integrated Science and Technology National Institute of Technology, Tsuyama College kn-affil= en-keyword=separable extension kn-keyword=separable extension en-keyword=weakly separable extension kn-keyword=weakly separable extension en-keyword=skew polynomial ring kn-keyword=skew polynomial ring en-keyword=derivation kn-keyword=derivation END start-ver=1.4 cd-journal=joma no-vol=64 cd-vols= no-issue=1 article-no= start-page=31 end-page=45 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The best constant of the discrete Sobolev inequalities on the complete bipartite graph en-subtitle= kn-subtitle= en-abstract= kn-abstract=We have the best constants of three kinds of discrete Sobolev inequalities on the complete bipartite graph with 2N vertices, that is, KN,N. We introduce a discrete Laplacian A on KN,N. A is a 2N ×2N real symmetric positive-semidefinite matrix whose eigenvector corresponding to zero eigenvalue is 1 = t(1, 1, … , 1)∈ C2N. A discrete heat kernel, a Green’s matrix and a pseudo Green’s matrix play important roles in giving the best constants. en-copyright= kn-copyright= en-aut-name=YamagishiHiroyuki en-aut-sei=Yamagishi en-aut-mei=Hiroyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Tokyo Metropolitan College of Industrial Technology kn-affil= en-keyword=Discrete Sobolev inequality kn-keyword=Discrete Sobolev inequality en-keyword=Discrete Laplacian kn-keyword=Discrete Laplacian en-keyword=Green’s matrix kn-keyword=Green’s matrix en-keyword=Reproducing relation kn-keyword=Reproducing relation END start-ver=1.4 cd-journal=joma no-vol=64 cd-vols= no-issue=1 article-no= start-page=13 end-page=29 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The d-Smith sets of Cartesian products of the alternating groups and finite elementary abelian 2-groups en-subtitle= kn-subtitle= en-abstract= kn-abstract=Let G be a finite group. In 1970s, T. Petrie defined the Smith equivalence of real G-modules. The Smith set of G is the subset of the real representation ring consisting of elements obtained as differences of Smith equivalent real G-modules. Various results of the topic have been obtained. The d-Smith set of G is the set of all elements [V ]−[W] in the Smith set of G such that the H-fixed point sets of V and W have the same dimension for all subgroups H of G. The results of the Smith sets of the alternating groups and the symmetric groups are obtained by E. Laitinen, K. Pawa lowski and R. Solomon. In this paper, we give the calculation results of the d-Smith sets of the alternating groups and the symmetric groups. In addition, we give the calculation results of the d-Smith sets of Cartesian products of the alternating groups and finite elementary abelian 2-groups. en-copyright= kn-copyright= en-aut-name=SeitaKohei en-aut-sei=Seita en-aut-mei=Kohei kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, Graduate School of Natural Science and Technology, Okayama University kn-affil= en-keyword=Real G-module kn-keyword=Real G-module en-keyword=Smith equivalence kn-keyword=Smith equivalence en-keyword=Oliver group kn-keyword=Oliver group en-keyword=alternating group kn-keyword=alternating group END start-ver=1.4 cd-journal=joma no-vol=64 cd-vols= no-issue=1 article-no= start-page=1 end-page=11 dt-received= dt-revised= dt-accepted= dt-pub-year=2022 dt-pub=202201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A Note on Torsion Points on Ample Divisors on Abelian Varieties en-subtitle= kn-subtitle= en-abstract= kn-abstract=In the present paper, we consider torsion points on ample divisors on abelian varieties. We prove that, for each integer n ≤ 2, an effective divisor of level n on an abelian variety does not contain the subgroup of n-torsion points. Moreover, we also discuss an application of this result to the study of the p-rank of cyclic coverings of curves in positive characteristic. en-copyright= kn-copyright= en-aut-name=HoshiYuichiro en-aut-sei=Hoshi en-aut-mei=Yuichiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Research Institute for Mathematical Sciences, Kyoto University kn-affil= en-keyword=abelian variety kn-keyword=abelian variety en-keyword=torsion point kn-keyword=torsion point en-keyword=curve kn-keyword=curve en-keyword=p-rank kn-keyword=p-rank END start-ver=1.4 cd-journal=joma no-vol=75 cd-vols= no-issue=5 article-no= start-page=601 end-page=609 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202110 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The Effect of Peer Instruction Lectures on Learning Attitudes in Epidemiology Education en-subtitle= kn-subtitle= en-abstract= kn-abstract=Research suggests that the fundamental concepts of epidemiology cannot be sufficiently learned in traditional lectures, and interactive learning is necessary. However, few studies have investigated interactive epidemiology education in general, or peer instruction (PI) in particular. This study investigated the effect of PI. Study par-ticipants were fourth-year medical students. The attitude of participants in regard to PI learning was examined in a non-PI and a PI group. The Survey of Attitudes Toward Statistics (SATS) (containing six sub-categories) was conducted as a learning-attitudes index. The pre- and post-lecture scores were compared between the non-PI and PI groups using double robust (DR) estimation. The non-PI and PI groups consisted of 20 and 121 student participants, respectively. In DR estimation, affect exhibited the lowest SATS score changes, at −0.51 (95% confidence interval −0.78 to −0.24; p-value < 0.001), whereas effort exhibited the highest score changes of 0.01 (95% confidence interval −0.30 to 0.32; p-value = 0.952). The epidemiology lecture with PI did not increase the SATS scores. This might be due to issues related to the experimental design. Further research investigating the effects of interactive epidemiology education, it will be necessary to develop tools for assessing the learning of epidemiological concepts and to improve the research design. en-copyright= kn-copyright= en-aut-name=MitsuhashiToshiharu en-aut-sei=Mitsuhashi en-aut-mei=Toshiharu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Center for Innovative Clinical Medicine, Okayama University Hospital kn-affil= en-keyword=medical students kn-keyword=medical students en-keyword=peer instruction kn-keyword=peer instruction en-keyword=epidemiological education kn-keyword=epidemiological education en-keyword=learning attitude kn-keyword=learning attitude en-keyword=double robust esti-mation kn-keyword=double robust esti-mation END start-ver=1.4 cd-journal=joma no-vol=109 cd-vols= no-issue=11 article-no= start-page=3916 end-page=3928 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=2021916 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The eco‐evolutionary dynamics of prior selfing rates promote coexistence without niche partitioning under conditions of reproductive interference en-subtitle= kn-subtitle= en-abstract= kn-abstract=1. Pollinator-mediated reproductive interference can occur when two or more plant species share the same pollinators. Recent studies have suggested that prior autonomous selfing mitigates reproductive interference, potentially facilitating coexistence even in the absence of pollination niche partitioning (i.e. the pre-emptive selfing hypothesis). However, whether the evolution of prior selfing promotes coexistence, in the context of the eco-evolutionary dynamics of population size, selfing rates and inbreeding depression, remains poorly understood.
2. We constructed an individual-based model to examine the conditions under which the evolution of prior selfing promotes coexistence in the context of mutual reproductive interference. In the model, two plant species compete by way of mutual reproductive interference, and both have the potential to evolve the capacity for prior autonomous selfing. We expected that purging of deleterious mutations might result in evolutionary rescue, assuming that the strength of inbreeding depression declines as the population selfing rate increases; this would enable inferior competitors to maintain population density through the evolution of prior selfing.
3. Our simulation demonstrated that evolution of prior selfing may promote coexistence, whereas reproductive interference in the absence of such evolution results in competitive exclusion. We found that lower pollinator availability is likely to favour rapid evolutionary shifts to higher prior selfing rates, thereby neutralising the negative effects of reproductive interference in both species. When the strength of inbreeding depression decreased with an increase in the population-level selfing rate, moderate pollinator availability resulted in long-term coexistence in which relative abundance-dependent selection on the prior selfing rate served to intermittently maintain the population density of the inferior competitor.
4. Synthesis. We demonstrate that the evolution of prior selfing may increase population growth rates of inferior competitors and may consequently promote long-term coexistence via an evolutionary rescue. This constitutes a novel mechanism explaining the co-evolutionary coexistence of closely related plant species without niche partitioning, and is consistent with recent studies reporting that closely related species with mixed mating systems can co-occur sympatrically, even under conditions of mutual reproductive interference. en-copyright= kn-copyright= en-aut-name=KatsuharaKoki en-aut-sei=Katsuhara en-aut-mei=Koki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TachikiYuuya en-aut-sei=Tachiki en-aut-mei=Yuuya kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=IritaniRyosuke en-aut-sei=Iritani en-aut-mei=Ryosuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=UshimaruAtushi en-aut-sei=Ushimaru en-aut-mei=Atushi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= affil-num=1 en-affil=Graduate School of Human Development and Environment, Kobe University Kobe kn-affil= affil-num=2 en-affil=Department of Biological Sciences Tokyo Metropolitan University Tokyo Japan kn-affil= affil-num=3 en-affil=Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS) RIKEN Wako Saitama Japan kn-affil= affil-num=4 en-affil=Graduate School of Human Development and Environment Kobe University Kobe Japan kn-affil= en-keyword=Co-evolution kn-keyword=Co-evolution en-keyword=evolutionary rescue kn-keyword=evolutionary rescue en-keyword=inbreeding depression kn-keyword=inbreeding depression en-keyword=individual-based model kn-keyword=individual-based model en-keyword=mixed mating kn-keyword=mixed mating en-keyword=pollinator-mediated competition kn-keyword=pollinator-mediated competition en-keyword=reproductive ecology kn-keyword=reproductive ecology en-keyword=selfing syndrome kn-keyword=selfing syndrome END start-ver=1.4 cd-journal=joma no-vol=29 cd-vols= no-issue=11 article-no= start-page=16914 end-page=16926 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=20210524 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Suppression of the optical crosstalk in a multi-channel silicon photomultiplier array en-subtitle= kn-subtitle= en-abstract= kn-abstract=We propose and study a method of optical crosstalk suppression for silicon photomultipliers (SiPMs) using optical filters. We demonstrate that attaching absorptive visible bandpass filters to the SiPM can substantially reduce the optical crosstalk. Measurements suggest that the absorption of near infrared light is important to achieve this suppression. The proposed technique can be easily applied to suppress the optical crosstalk in SiPMs in cases where filtering near infrared light is compatible with the application. en-copyright= kn-copyright= en-aut-name=MasudaTakahiko en-aut-sei=Masuda en-aut-mei=Takahiko kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=AngDaniel G. en-aut-sei=Ang en-aut-mei=Daniel G. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=HutzlerNicholas R. en-aut-sei=Hutzler en-aut-mei=Nicholas R. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=MeisenhelderCole en-aut-sei=Meisenhelder en-aut-mei=Cole kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=SasaoNoboru en-aut-sei=Sasao en-aut-mei=Noboru kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= en-aut-name=UetakeSatoshi en-aut-sei=Uetake en-aut-mei=Satoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=6 ORCID= en-aut-name=WuXing en-aut-sei=Wu en-aut-mei=Xing kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=7 ORCID= en-aut-name=DeMilleDavid en-aut-sei=DeMille en-aut-mei=David kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=8 ORCID= en-aut-name=GabrielseGerald en-aut-sei=Gabrielse en-aut-mei=Gerald kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=9 ORCID= en-aut-name=DoyleJohn M. en-aut-sei=Doyle en-aut-mei=John M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=10 ORCID= en-aut-name=YoshimuraKoji en-aut-sei=Yoshimura en-aut-mei=Koji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=11 ORCID= affil-num=1 en-affil=Research Institute for Interdisciplinary Science, Okayama University kn-affil= affil-num=2 en-affil=Department of Physics, Harvard University kn-affil= affil-num=3 en-affil=Division of Physics, Mathematics, and Astronomy, California Institute of Technology kn-affil= affil-num=4 en-affil=Department of Physics, Harvard University kn-affil= affil-num=5 en-affil=Research Institute for Interdisciplinary Science, Okayama University kn-affil= affil-num=6 en-affil=Research Institute for Interdisciplinary Science, Okayama University kn-affil= affil-num=7 en-affil=Department of Physics, Harvard University kn-affil= affil-num=8 en-affil=James Franck Institute and Department of Physics, University of Chicago kn-affil= affil-num=9 en-affil=Center for Fundamental Physics, Northwestern University kn-affil= affil-num=10 en-affil=Research Institute for Interdisciplinary Science, Okayama University kn-affil= affil-num=11 en-affil=Research Institute for Interdisciplinary Science, Okayama University kn-affil= END start-ver=1.4 cd-journal=joma no-vol=2 cd-vols= no-issue=3 article-no= start-page=lqaa067 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2020 dt-pub=202009 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Parental legacy and regulatory novelty in Brachypodium diurnal transcriptomes accompanying their polyploidy en-subtitle= kn-subtitle= en-abstract= kn-abstract=Polyploidy is a widespread phenomenon in eukaryotes that can lead to phenotypic novelty and has important implications for evolution and diversification. The modification of phenotypes in polyploids relative to their diploid progenitors may be associated with altered gene expression. However, it is largely unknown how interactions between duplicated genes affect their diurnal expression in allopolyploid species. In this study, we explored parental legacy and hybrid novelty in the transcriptomes of an allopolyploid species and its diploid progenitors. We compared the diurnal transcriptomes of representative Brachypodium cytotypes, including the allotetraploid Brachypodium hybridum and its diploid progenitors Brachypodium distachyon and Brachypodium stacei. We also artificially induced an autotetraploid B. distachyon. We identified patterns of homoeolog expression bias (HEB) across Brachypodium cytotypes and time-dependent gain and loss of HEB in B. hybridum. Furthermore, we established that many genes with diurnal expression experienced HEB, while their expression patterns and peak times were correlated between homoeologs in B. hybridum relative to B. distachyon and B. stacei, suggesting diurnal synchronization of homoeolog expression in B. hybridum. Our findings provide insight into the parental legacy and hybrid novelty associated with polyploidy in Brachypodium, and highlight the evolutionary consequences of diurnal transcriptional regulation that accompanied allopolyploidy. en-copyright= kn-copyright= en-aut-name=InoueKomaki en-aut-sei=Inoue en-aut-mei=Komaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TakahagiKotaro en-aut-sei=Takahagi en-aut-mei=Kotaro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=KouzaiYusuke en-aut-sei=Kouzai en-aut-mei=Yusuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=KodaSatoru en-aut-sei=Koda en-aut-mei=Satoru kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=ShimizuMinami en-aut-sei=Shimizu en-aut-mei=Minami kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= en-aut-name=Uehara-YamaguchiYukiko en-aut-sei=Uehara-Yamaguchi en-aut-mei=Yukiko kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=6 ORCID= en-aut-name=NakayamaRisa en-aut-sei=Nakayama en-aut-mei=Risa kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=7 ORCID= en-aut-name=KitaToshie en-aut-sei=Kita en-aut-mei=Toshie kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=8 ORCID= en-aut-name=OndaYoshihiko en-aut-sei=Onda en-aut-mei=Yoshihiko kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=9 ORCID= en-aut-name=NomuraToshihisa en-aut-sei=Nomura en-aut-mei=Toshihisa kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=10 ORCID= en-aut-name=MatsuiHidetoshi en-aut-sei=Matsui en-aut-mei=Hidetoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=11 ORCID= en-aut-name=NagakiKiyotaka en-aut-sei=Nagaki en-aut-mei=Kiyotaka kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=12 ORCID= en-aut-name=NishiiRyuei en-aut-sei=Nishii en-aut-mei=Ryuei kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=13 ORCID= en-aut-name=MochidaKeiichi en-aut-sei=Mochida en-aut-mei=Keiichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=14 ORCID= affil-num=1 en-affil=RIKEN Center for Sustainable Resource Science kn-affil= affil-num=2 en-affil=RIKEN Center for Sustainable Resource Science kn-affil= affil-num=3 en-affil=RIKEN Center for Sustainable Resource Science kn-affil= affil-num=4 en-affil=Graduate School of Mathematics, Kyushu University kn-affil= affil-num=5 en-affil=RIKEN Center for Sustainable Resource Science kn-affil= affil-num=6 en-affil=RIKEN Center for Sustainable Resource Science kn-affil= affil-num=7 en-affil=RIKEN Center for Sustainable Resource Science kn-affil= affil-num=8 en-affil=RIKEN Center for Sustainable Resource Science kn-affil= affil-num=9 en-affil=RIKEN Center for Sustainable Resource Science kn-affil= affil-num=10 en-affil=RIKEN Center for Sustainable Resource Science kn-affil= affil-num=11 en-affil=Faculty of Data Science, Shiga University kn-affil= affil-num=12 en-affil=Institute of Plant Science and Resources, Okayama University kn-affil= affil-num=13 en-affil=School of Information and Data Science, Nagasaki University kn-affil= affil-num=14 en-affil=Institute of Plant Science and Resources, Okayama University kn-affil= END start-ver=1.4 cd-journal=joma no-vol=21 cd-vols= no-issue= article-no= start-page=093056 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=20190924 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Superconductivity in a new layered triangular-lattice system Li2IrSi2 en-subtitle= kn-subtitle= en-abstract= kn-abstract=We report on the crystal structure and superconducting properties of a novel iridium-silicide, namely Li2IrSi2. It has a Ag2NiO2-type structure (space group R-3m) with the lattice parameters a = 4.028 30(6) Å and c = 13.161 80(15) Å. The crystal structure comprises IrSi2 and double Li layers stacked alternately along the c-axis. The IrSi2 layer includes a two-dimensional Ir equilateral-triangular lattice. Electrical resistivity and static magnetic measurements revealed that Li2IrSi2 is a type-II superconductor with critical temperature (Tc) of 3.3 K. We estimated the following superconducting parameters: lower critical field Hc1(0) ~ 42 Oe, upper critical field Hc2(0) ~ 1.7 kOe, penetration depth λ0 ~ 265 nm, coherence length ξ0 ~ 44 nm, and Ginzburg–Landau parameter κGL ~ 6.02. The specific-heat data suggested that superconductivity in Li2IrSi2 could be attributed to weak-coupling Cooper pairs. en-copyright= kn-copyright= en-aut-name=HoriganeK en-aut-sei=Horigane en-aut-mei=K kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TakeuchiK en-aut-sei=Takeuchi en-aut-mei=K kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=HyakumuraD en-aut-sei=Hyakumura en-aut-mei=D kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=HorieR en-aut-sei=Horie en-aut-mei=R kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=SatoT en-aut-sei=Sato en-aut-mei=T kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= en-aut-name=MuranakaT en-aut-sei=Muranaka en-aut-mei=T kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=6 ORCID= en-aut-name=KawashimaK en-aut-sei=Kawashima en-aut-mei=K kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=7 ORCID= en-aut-name=IshiiH en-aut-sei=Ishii en-aut-mei=H kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=8 ORCID= en-aut-name=KubozonoY en-aut-sei=Kubozono en-aut-mei=Y kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=9 ORCID= en-aut-name=OrimoS en-aut-sei=Orimo en-aut-mei=S kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=10 ORCID= en-aut-name=IsobeM en-aut-sei=Isobe en-aut-mei=M kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=11 ORCID= en-aut-name=AkimitsuJ en-aut-sei=Akimitsu en-aut-mei=J kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=12 ORCID= affil-num=1 en-affil=Research Institute for Interdisciplinary Science, Okayama University, kn-affil= affil-num=2 en-affil=Graduate School of natural science and technology, Okayama University kn-affil= affil-num=3 en-affil=Department of Physics and Mathematics, Aoyama Gakuin University kn-affil= affil-num=4 en-affil=Research Institute for Interdisciplinary Science, Okayama University kn-affil= affil-num=5 en-affil=Institute for Materials Research, Tohoku University kn-affil= affil-num=6 en-affil=Department of Engineering Science, University of Electro-Communications kn-affil= affil-num=7 en-affil=Department of Physics and Mathematics, Aoyama Gakuin University kn-affil= affil-num=8 en-affil=National Synchrotron Radiation Research Center kn-affil= affil-num=9 en-affil=Research Institute for Interdisciplinary Science, Okayama University kn-affil= affil-num=10 en-affil=Institute for Materials Research, Tohoku University kn-affil= affil-num=11 en-affil=National Institute for Materials Science (NIMS) kn-affil= affil-num=12 en-affil=Research Institute for Interdisciplinary Science, Okayama University kn-affil= en-keyword=supreconductivity kn-keyword=supreconductivity en-keyword=iridium-silicide kn-keyword=iridium-silicide en-keyword=spin–orbit coupling kn-keyword=spin–orbit coupling END start-ver=1.4 cd-journal=joma no-vol=75 cd-vols= no-issue=1 article-no= start-page=71 end-page=77 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202102 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The Thickness of the Medial Wall of the Acetabulum Prevents Acetabular Fracture during the Insertion of a Cementless Cup in Total Hip Arthroplasty: A Biomechanical Study en-subtitle= kn-subtitle= en-abstract= kn-abstract=Intra-operative acetabular fracture is a total hip arthroplasty complication that can occur during cementless cup insertion, especially in osteoporotic patients. We conducted this biomechanical study to investigate the impact resistance of the acetabulum with simulated bones of different density by drop-weight impact testing. Low- and high-density polyurethane foam blocks were used as osteoporotic and healthy bone models, respectively. Polyurethane blocks were used as the acetabular cancellous bone. Composite sheets were used as the acetabu-lum’s medial cortex. The testing revealed that the osteoporotic bone model’s impact resistance was significantly lower than that the healthy bone model’. In the healthy bone model, even thin acetabular cancellous bone with ≥ 1 mm acetabulum medial cortex was less likely to fracture. In the osteoporotic bone model, fracture was pos-sible without ≥ 1 mm medial cortex of the acetabulum and thick acetabular cancellous bone. Although impac-tion resistance differs due to bone quality, the impaction resistance in this osteoporotic bone model was equiv-alent to that healthy bone model’s when a thick medial wall was present. To avoid intra-operative acetabulum fracture, surgeons should consider both the bone quality and the thicknesses of the medial cortex and acetabu-lar cancellous bone. en-copyright= kn-copyright= en-aut-name=SankiTomoaki en-aut-sei=Sanki en-aut-mei=Tomoaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TetsunagaTomonori en-aut-sei=Tetsunaga en-aut-mei=Tomonori kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=FurumatsuTakayuki en-aut-sei=Furumatsu en-aut-mei=Takayuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=YamadaKazuki en-aut-sei=Yamada en-aut-mei=Kazuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=KawamuraYoshi en-aut-sei=Kawamura en-aut-mei=Yoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= en-aut-name=OzakiToshifumi en-aut-sei=Ozaki en-aut-mei=Toshifumi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=6 ORCID= affil-num=1 en-affil=Department of Orthopaedic Surgery, Okayama University Graduate School of Medicine, Dentistry and Pharmaceutical Sciences kn-affil= affil-num=2 en-affil=Department of Orthopaedic Surgery, Okayama University Graduate School of Medicine, Dentistry and Pharmaceutical Sciences kn-affil= affil-num=3 en-affil=Department of Orthopaedic Surgery, Okayama University Graduate School of Medicine, Dentistry and Pharmaceutical Sciences kn-affil= affil-num=4 en-affil=Department of Orthopaedic Surgery, Okayama University Graduate School of Medicine, Dentistry and Pharmaceutical Sciences kn-affil= affil-num=5 en-affil=Department of Orthopaedic Surgery, Okayama University Graduate School of Medicine, Dentistry and Pharmaceutical Sciences kn-affil= affil-num=6 en-affil=Department of Orthopaedic Surgery, Okayama University Graduate School of Medicine, Dentistry and Pharmaceutical Sciences kn-affil= en-keyword=intra-operative acetabular fracture kn-keyword=intra-operative acetabular fracture en-keyword=drop weight impact testing kn-keyword=drop weight impact testing en-keyword=total hip arthroplasty kn-keyword=total hip arthroplasty en-keyword=impact resistance kn-keyword=impact resistance END start-ver=1.4 cd-journal=joma no-vol=75 cd-vols= no-issue=1 article-no= start-page=63 end-page=69 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202102 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The Optimal Prepregnancy Body Mass Index for Lactation in Japanese Women with Neonatal Separation as Analyzed by a Differential Equation en-subtitle= kn-subtitle= en-abstract= kn-abstract=We used a differential equation to identify the biological relationship between the maternal prepregnancy body mass index (BMI) and lactation on postpartum day 4 in Japanese women with neonatal separation. This retro-spective observational study included 252 mothers (135 primiparas, 117 multiparas) whose singleton neonates were admitted to a neonatal ICU. We formulated hypotheses based on breast anatomy to analyze the relation-ship between the expressed milk obtained on postpartum day 4 and the maternal prepregnancy BMI with the following differential equation: y’(x) = k y(x)/x, where k is the constant, x is the prepregnancy BMI, and y is the expressed milk volume. The formula was then obtained as y(x) = axk, where a is the constant. The Akaike information criterion (AIC) was used to estimate the regression equation with the maximum likelihood for primiparas and multiparas. The best criteria for BMI determined by the AIC were 20.89 kg/m2 in primiparas and 20.19 kg/m2 in multiparas. These were the optimal BMI values for lactation, coinciding with the median prepregnancy BMI in the study population (20.78 kg/m2 in primiparas and 20.06 kg/m2 in multiparas). The formula based on biomathematics might help establish the biological relationship between prepregnancy BMI and breastmilk volume. en-copyright= kn-copyright= en-aut-name=TadaKatsuhiko en-aut-sei=Tada en-aut-mei=Katsuhiko kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=MiyagiYasunari en-aut-sei=Miyagi en-aut-mei=Yasunari kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=NakamuraKazue en-aut-sei=Nakamura en-aut-mei=Kazue kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=YorozuMoe en-aut-sei=Yorozu en-aut-mei=Moe kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=FukushimaEmi en-aut-sei=Fukushima en-aut-mei=Emi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= en-aut-name=KumazawaKazumasa en-aut-sei=Kumazawa en-aut-mei=Kazumasa kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=6 ORCID= en-aut-name=NakamuraMakoto en-aut-sei=Nakamura en-aut-mei=Makoto kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=7 ORCID= en-aut-name=KageyamaMisao en-aut-sei=Kageyama en-aut-mei=Misao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=8 ORCID= affil-num=1 en-affil=Department of Obstetrics and Gynecology, National Hospital Organization, Okayama Medical Center kn-affil= affil-num=2 en-affil=Miyake Ofuku Clinic kn-affil= affil-num=3 en-affil=Department of Neonatology, National Hospital Organization, Okayama Medical Center kn-affil= affil-num=4 en-affil=Department of Obstetrics and Gynecology, National Hospital Organization, Okayama Medical Center kn-affil= affil-num=5 en-affil=Department of Nursing, National Hospital Organization, Okayama Medical Center kn-affil= affil-num=6 en-affil=Department of Obstetrics and Gynecology, National Hospital Organization, Okayama Medical Center kn-affil= affil-num=7 en-affil=Department of Neonatology, National Hospital Organization, Okayama Medical Center kn-affil= affil-num=8 en-affil=Department of Neonatology, National Hospital Organization, Okayama Medical Center kn-affil= en-keyword=biomathematics kn-keyword=biomathematics en-keyword=body mass index kn-keyword=body mass index en-keyword=expressed milk kn-keyword=expressed milk en-keyword=lactation kn-keyword=lactation END start-ver=1.4 cd-journal=joma no-vol=11 cd-vols= no-issue=1 article-no= start-page=397 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=20210104 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Multi-Period Maximal Covering Location Problem with Capacitated Facilities and Modules for Natural Disaster Relief Services en-subtitle= kn-subtitle= en-abstract= kn-abstract=The paper aims to study a multi-period maximal covering location problem with the configuration of different types of facilities, as an extension of the classical maximal covering location problem (MCLP). The proposed model can have applications such as locating disaster relief facilities, hospitals, and chain supermarkets. The facilities are supposed to be comprised of various units, called the modules. The modules have different sizes and can transfer between facilities during the planning horizon according to demand variation. Both the facilities and modules are capacitated as a real-life fact. To solve the problem, two upper bounds-(LR1) and (LR2)-and Lagrangian decomposition (LD) are developed. Two lower bounds are computed from feasible solutions obtained from (LR1), (LR2), and (LD) and a novel heuristic algorithm. The results demonstrate that the LD method combined with the lower bound obtained from the developed heuristic method (LD-HLB) shows better performance and is preferred to solve both small- and large-scale problems in terms of bound tightness and efficiency especially for solving large-scale problems. The upper bounds and lower bounds generated by the solution procedures can be used as the profit approximation by the managerial executives in their decision-making process. en-copyright= kn-copyright= en-aut-name=AlizadehRoghayyeh en-aut-sei=Alizadeh en-aut-mei=Roghayyeh kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=NishiTatsushi en-aut-sei=Nishi en-aut-mei=Tatsushi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=BagherinejadJafar en-aut-sei=Bagherinejad en-aut-mei=Jafar kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=BashiriMahdi en-aut-sei=Bashiri en-aut-mei=Mahdi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= affil-num=1 en-affil=Division of Mathematical Science for Social Systems, Department of Systems Innovation, Graduate School of Engineering Science, Osaka University kn-affil= affil-num=2 en-affil=Graduate School of Natural Sciences, Department of Industrial Innovation Engineering, Okayama University kn-affil= affil-num=3 en-affil=Department of Industrial Engineering, Faculty of Engineering, Alzahra University kn-affil= affil-num=4 en-affil=School of Strategy and Leadership, Faculty of Business and Law, Coventry University kn-affil= en-keyword=maximal covering location problem kn-keyword=maximal covering location problem en-keyword=capacitated facility kn-keyword=capacitated facility en-keyword=modularity kn-keyword=modularity en-keyword=multi-period kn-keyword=multi-period en-keyword=Lagrangian decomposition heuristic kn-keyword=Lagrangian decomposition heuristic END start-ver=1.4 cd-journal=joma no-vol=8 cd-vols= no-issue=2 article-no= start-page=189 end-page=194 dt-received= dt-revised= dt-accepted= dt-pub-year=1958 dt-pub=195812 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Galois theory of simple rings IV en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NagaharaTakasi en-aut-sei=Nagahara en-aut-mei=Takasi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=NobusawaNobuo en-aut-sei=Nobusawa en-aut-mei=Nobuo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=TominagaHisao en-aut-sei=Tominaga en-aut-mei=Hisao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil= affil-num=2 en-affil= kn-affil= affil-num=3 en-affil= kn-affil= END start-ver=1.4 cd-journal=joma no-vol=8 cd-vols= no-issue=2 article-no= start-page=181 end-page=188 dt-received= dt-revised= dt-accepted= dt-pub-year=1958 dt-pub=195812 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On generating elements of Galois extensions of division rings IV en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NagaharaTakashi en-aut-sei=Nagahara en-aut-mei=Takashi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= END start-ver=1.4 cd-journal=joma no-vol=8 cd-vols= no-issue=2 article-no= start-page=143 end-page=179 dt-received= dt-revised= dt-accepted= dt-pub-year=1958 dt-pub=195812 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Tangent bundles of order 2 and general connections en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=OtsukiTominosuke en-aut-sei=Otsuki en-aut-mei=Tominosuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= END start-ver=1.4 cd-journal=joma no-vol=8 cd-vols= no-issue=2 article-no= start-page=133 end-page=142 dt-received= dt-revised= dt-accepted= dt-pub-year=1958 dt-pub=195812 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On normal basis theorems and strictly Galois extensions en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=NagaharaTakasi en-aut-sei=Nagahara en-aut-mei=Takasi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=OnoderaTakesi en-aut-sei=Onodera en-aut-mei=Takesi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=TominagaHisao en-aut-sei=Tominaga en-aut-mei=Hisao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil= affil-num=2 en-affil= kn-affil= affil-num=3 en-affil= kn-affil= END start-ver=1.4 cd-journal=joma no-vol=8 cd-vols= no-issue=2 article-no= start-page=125 end-page=131 dt-received= dt-revised= dt-accepted= dt-pub-year=1958 dt-pub=195812 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Some remarks on homotopy equivalences and H-spaces en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=SugawaraMasahiro en-aut-sei=Sugawara en-aut-mei=Masahiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= END start-ver=1.4 cd-journal=joma no-vol=8 cd-vols= no-issue=2 article-no= start-page=117 end-page=123 dt-received= dt-revised= dt-accepted= dt-pub-year=1958 dt-pub=195812 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on Galois theory of primary rings en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=TominagaHisao en-aut-sei=Tominaga en-aut-mei=Hisao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= END start-ver=1.4 cd-journal=joma no-vol=8 cd-vols= no-issue=2 article-no= start-page=107 end-page=116 dt-received= dt-revised= dt-accepted= dt-pub-year=1958 dt-pub=195812 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Note on curvature of Finsler manifolds en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=ŌtsukiTominosuke en-aut-sei=Ōtsuki en-aut-mei=Tominosuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= END start-ver=1.4 cd-journal=joma no-vol=8 cd-vols= no-issue=1 article-no= start-page=1 end-page=106 dt-received= dt-revised= dt-accepted= dt-pub-year=1958 dt-pub=19586 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Poincarésche Vermutung in Topologie en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=KosekiKen'iti en-aut-sei=Koseki en-aut-mei=Ken'iti kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= END start-ver=1.4 cd-journal=joma no-vol=15 cd-vols= no-issue=10 article-no= start-page=e0240333 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2020 dt-pub=20201015 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Fgf10-CRISPR mosaic mutants demonstrate the gene dose-related loss of the accessory lobe and decrease in the number of alveolar type 2 epithelial cells in mouse lung en-subtitle= kn-subtitle= en-abstract= kn-abstract=CRISPR/Cas9-mediated gene editing often generates founder generation (F0) mice that exhibit somatic mosaicism in the targeted gene(s). It has been known thatFibroblast growth factor 10(Fgf10)-null mice exhibit limbless and lungless phenotypes, while intermediate limb phenotypes (variable defective limbs) are observed in theFgf10-CRISPR F0 mice. However, how the lung phenotype in theFgf10-mosaic mutants is related to the limb phenotype and genotype has not been investigated. In this study, we examined variable lung phenotypes in theFgf10-targeted F0 mice to determine if the lung phenotype was correlated with percentage of functionalFgf10genotypes. Firstly, according to a previous report,Fgf10-CRISPR F0 embryos on embryonic day 16.5 (E16.5) were classified into three types: type I, no limb; type II, limb defect; and type III, normal limbs. Cartilage and bone staining showed that limb truncations were observed in the girdle, (type I), stylopodial, or zeugopodial region (type II). Deep sequencing of theFgf10-mutant genomes revealed that the mean proportion of codons that encode putative functional FGF10 was 8.3 +/- 6.2% in type I, 25.3 +/- 2.7% in type II, and 54.3 +/- 9.5% in type III (mean +/- standard error of the mean) mutants at E16.5. Histological studies showed that almost all lung lobes were absent in type I embryos. The accessory lung lobe was often absent in type II embryos with other lobes dysplastic. All lung lobes formed in type III embryos. The number of terminal tubules was significantly lower in type I and II embryos, but unchanged in type III embryos. To identify alveolar type 2 epithelial (AECII) cells, known to be reduced in theFgf10-heterozygous mutant, immunostaining using anti-surfactant protein C (SPC) antibody was performed: In the E18.5 lungs, the number of AECII was correlated to the percentage of functionalFgf10genotypes. These data suggest theFgf10gene dose-related loss of the accessory lobe and decrease in the number of alveolar type 2 epithelial cells in mouse lung. Since dysfunction of AECII cells has been implicated in the pathogenesis of parenchymal lung diseases, theFgf10-CRISPR F0 mouse would present an ideal experimental system to explore it. en-copyright= kn-copyright= en-aut-name=HabutaMunenori en-aut-sei=Habuta en-aut-mei=Munenori kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=YasueAkihiro en-aut-sei=Yasue en-aut-mei=Akihiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=SuzukiKen-Ichi T. en-aut-sei=Suzuki en-aut-mei=Ken-Ichi T. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=FujitaHirofumi en-aut-sei=Fujita en-aut-mei=Hirofumi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=SatoKeita en-aut-sei=Sato en-aut-mei=Keita kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= en-aut-name=KonoHitomi en-aut-sei=Kono en-aut-mei=Hitomi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=6 ORCID= en-aut-name=TakayamaAyuko en-aut-sei=Takayama en-aut-mei=Ayuko kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=7 ORCID= en-aut-name=BandoTetsuya en-aut-sei=Bando en-aut-mei=Tetsuya kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=8 ORCID= en-aut-name=MiyaishiSatoru en-aut-sei=Miyaishi en-aut-mei=Satoru kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=9 ORCID= en-aut-name=OyadomariSeiichi en-aut-sei=Oyadomari en-aut-mei=Seiichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=10 ORCID= en-aut-name=TanakaEiji en-aut-sei=Tanaka en-aut-mei=Eiji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=11 ORCID= en-aut-name=OhuchiHideyo en-aut-sei=Ohuchi en-aut-mei=Hideyo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=12 ORCID= affil-num=1 en-affil=Department of Cytology and Histology, Okayama University Graduate School of Medicine, Dentistry and Pharmaceutical Sciences kn-affil= affil-num=2 en-affil=Department of Orthodontics and Dentofacial Orthopedics, Institute of Biomedical Sciences, Tokushima University Graduate School kn-affil= affil-num=3 en-affil=Department of Mathematical and Life Sciences, Hiroshima University kn-affil= affil-num=4 en-affil=Department of Cytology and Histology, Okayama University Graduate School of Medicine, Dentistry and Pharmaceutical Sciences kn-affil= affil-num=5 en-affil=Department of Cytology and Histology, Okayama University Graduate School of Medicine, Dentistry and Pharmaceutical Sciences kn-affil= affil-num=6 en-affil=Department of Cytology and Histology, Okayama University Graduate School of Medicine, Dentistry and Pharmaceutical Sciences kn-affil= affil-num=7 en-affil=Center for the Development of New Model Organisms, National Institute for Basic Biology kn-affil= affil-num=8 en-affil=Department of Cytology and Histology, Okayama University Graduate School of Medicine, Dentistry and Pharmaceutical Sciences kn-affil= affil-num=9 en-affil=Department of Legal Medicine, Okayama University Graduate School of Medicine, Dentistry and Pharmaceutical Sciences kn-affil= affil-num=10 en-affil=Division of Molecular Biology, Institute of Advanced Medical Sciences, Tokushima University kn-affil= affil-num=11 en-affil=Department of Orthodontics and Dentofacial Orthopedics, Institute of Biomedical Sciences, Tokushima University Graduate School kn-affil= affil-num=12 en-affil=Department of Cytology and Histology, Okayama University Graduate School of Medicine, Dentistry and Pharmaceutical Sciences kn-affil= END start-ver=1.4 cd-journal=joma no-vol=10 cd-vols= no-issue=20 article-no= start-page=7110 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2020 dt-pub=20201013 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Hybrid Set Covering and Dynamic Modular Covering Location Problem: Application to an Emergency Humanitarian Logistics Problem en-subtitle= kn-subtitle= en-abstract= kn-abstract=This paper presents an extension of the covering location problem as a hybrid covering model that utilizes the set covering and maximal covering location problems. The developed model is a multi-period model that considers strategic and tactical planning decisions. Hybrid covering location problem (HCLP) determines the location of the capacitated facilities by using dynamic set covering location problem as strategic decisions and assigns the constructive units of facilities and allocates the demand points by using dynamic modular capacitated maximal covering location problem as tactical decisions. One of the applications of the proposed model is locating first aid centers in humanitarian logistic services that have been addressed by studying a threat case study in Japan. In addition to validating the developed model, it has been compared to other possible combined problems, and several randomly generated examples have been solved. The results of the case study and model validation tests approve that the main hybrid developed model (HCLP) is capable of providing better coverage percentage compared to conventional covering models and other hybrid variants. en-copyright= kn-copyright= en-aut-name=AlizadehRoghayyeh en-aut-sei=Alizadeh en-aut-mei=Roghayyeh kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=NishiTatsushi en-aut-sei=Nishi en-aut-mei=Tatsushi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Division of Mathematical Science for Social Systems, Department of Systems Innovation, Graduate School of Engineering Science, Osaka University kn-affil= affil-num=2 en-affil=Graduate School of Natural Sciences, Department of Industrial Innovation Engineering, Okayama University kn-affil= en-keyword=covering location kn-keyword=covering location en-keyword=multi-period kn-keyword=multi-period en-keyword=strategic and tactical planning kn-keyword=strategic and tactical planning en-keyword=modular kn-keyword=modular en-keyword=maximal covering kn-keyword=maximal covering en-keyword=set covering kn-keyword=set covering END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=201 end-page=217 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Linear stability of radially symmetric equilibrium solutions to the singular limit problem of three-component activator-inhibitor model en-subtitle= kn-subtitle= en-abstract= kn-abstract=We show linear stability or instability for radially symmet-ric equilibrium solutions to the system of interface equation and two parabolic equations arising in the singular limit of three-component activator-inhibitor models. en-copyright= kn-copyright= en-aut-name=KojimaTakuya en-aut-sei=Kojima en-aut-mei=Takuya kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=OshitaYoshihito en-aut-sei=Oshita en-aut-mei=Yoshihito kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Graduate school of Natural Science and Technology, Okayama University kn-affil= affil-num=2 en-affil=Department of Mathematics, Okayama University kn-affil= en-keyword=singular limit problem kn-keyword=singular limit problem en-keyword=equilibrium solutions kn-keyword=equilibrium solutions en-keyword=linear stability kn-keyword=linear stability END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=183 end-page=199 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On H-epimorphisms and co-H-sequences in two-sided Harada rings en-subtitle= kn-subtitle= en-abstract= kn-abstract=In [8] M. Harada studied a left artinian ring R such that every non-small left R-module contains a non-zero injective submodule. And in [13] K. Oshiro called the ring a left Harada ring (abbreviated left H-ring). We can see many results on left Harada rings in [6] and many equivalent conditions in [4, Theorem B]. In this paper, to characterize two-sided Harada rings, we intruduce new concepts “co-H-sequence” and “H-epimorphism” and study them. en-copyright= kn-copyright= en-aut-name=BabaYoshitomo en-aut-sei=Baba en-aut-mei=Yoshitomo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics Education Osaka Kyoiku University kn-affil= en-keyword=Harada ring kn-keyword=Harada ring en-keyword=Artinian ring kn-keyword=Artinian ring END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=175 end-page=182 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On some families of invariant polynomials divisible by three and their zeta functions en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this note, we establish an analog of the Mallows-Sloane bound for Type III formal weight enumerators. This completes the bounds for all types (Types I through IV) in synthesis of our previous results. Next we show by using the binomial moments that there exists a family of polynomials divisible by three, which are not related to linear codes but are invariant under the MacWilliams transform for the value 3/2. We also discuss some properties of the zeta functions for such polynomials. en-copyright= kn-copyright= en-aut-name=ChinenKoji en-aut-sei=Chinen en-aut-mei=Koji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, School of Science and Engineering, Kindai University kn-affil= en-keyword=Binomial moment kn-keyword=Binomial moment en-keyword=Divisible code kn-keyword=Divisible code en-keyword=Invariant polynomial ring kn-keyword=Invariant polynomial ring en-keyword=Zeta function for codes kn-keyword=Zeta function for codes en-keyword=Riemann hypothesis kn-keyword=Riemann hypothesis END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=167 end-page=173 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On pg-ideals en-subtitle= kn-subtitle= en-abstract= kn-abstract=Let (A, m) be an excellent normal domain of dimension two. We define an m-primary ideal I to be a pg -ideal if the Rees algebra A[It] is a Cohen-Macaulay normal domain. If A has infinite residue field then it follows from a result of Rees that the product of two pg ideals is pg . When A contains an algebraically closed field k ∼= A/m then Okuma, Watanabe and Yoshida proved that A has pg -ideals and furthermore product of two pg -ideals is a pg ideal. In this article we show that if A is an excellent normal domain of dimension two containing a field k ∼= A/m of characteristic zero then also A has pg -ideals. en-copyright= kn-copyright= en-aut-name=PuthenpurakalTony J. en-aut-sei=Puthenpurakal en-aut-mei=Tony J. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, IIT Bombay kn-affil= en-keyword=pg -ideal kn-keyword=pg -ideal en-keyword=normal Rees rings kn-keyword=normal Rees rings en-keyword=Cohen-Macaulay rings kn-keyword=Cohen-Macaulay rings en-keyword=stable ideals kn-keyword=stable ideals END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=153 end-page=165 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The d-Smith sets of direct products of dihedral groups en-subtitle= kn-subtitle= en-abstract= kn-abstract=Let G be a finite group and let V and W be real G-modules. We call V and W dim-equivalent if for each subgroup H of G, the H-fixed point sets of V and W have the same dimension. We call V and W are Smith equivalent if there is a smooth G-action on a homotopy sphere Σ with exactly two G-fixed points, say a and b, such that the tangential G-representations at a and b of Σ are respectively isomorphic to V and W . Moreover, We call V and W are d-Smith equivalent if they are dim-equivalent and Smith equivalent. The differences of d-Smith equivalent real G-modules make up a subset, called the d-Smith set, of the real representation ring RO(G). We call V and W P(G)-matched if they are isomorphic whenever the actions are restricted to subgroups with prime power order of G. Let N be a normal subgroup. For a subset F of G, we say that a real G-module is F-free if the H-fixed point set of the G-module is trivial for all elements H of F. We study the d-Smith set by means of the submodule of RO(G) consisting of the differences of dim-equivalent, P(G)-matched, {N}-free real G-modules. In particular, we give a rank formula for the submodule in order to see how the d-Smith set is large. en-copyright= kn-copyright= en-aut-name=SeitaKohei en-aut-sei=Seita en-aut-mei=Kohei kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, Graduate School of Natural Science and Technology, Okayama University kn-affil= en-keyword=Real G-module kn-keyword=Real G-module en-keyword=Smith equivalence kn-keyword=Smith equivalence en-keyword=representation ring kn-keyword=representation ring en-keyword=Oliver group kn-keyword=Oliver group END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=133 end-page=151 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Rectangular Hall-Littlewood symmetric functions and a specific spin character en-subtitle= kn-subtitle= en-abstract= kn-abstract=We derive the Schur function identities coming from the tensor products of the spin representations of the symmetric group Sn. We deal with the tensor products of the basic spin representation V (n) and any spin representation V λ (λ ∈ SP (n)). The characteristic map of the tensor product ζn ⊗ ζλ is described by Stembridge[4] for the case of odd n. We consider the case n is even. en-copyright= kn-copyright= en-aut-name=AokageKazuya en-aut-sei=Aokage en-aut-mei=Kazuya kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, National Institute of Technology, Ariake College kn-affil= en-keyword=symmetric group kn-keyword=symmetric group en-keyword=symmetric function kn-keyword=symmetric function en-keyword=projective representation kn-keyword=projective representation END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=123 end-page=131 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Differential operators on modular forms associated to Jacobi forms en-subtitle= kn-subtitle= en-abstract= kn-abstract=Given Jacobi forms, we determine associated Jacobi-like forms, whose coefficients are quasimodular forms. We then use these quasimodular forms to construct differential operators on modular forms, which are expressed in terms of the Fourier coefficients of the given Jacobi forms. en-copyright= kn-copyright= en-aut-name=LeeMin Ho en-aut-sei=Lee en-aut-mei=Min Ho kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, University of Northern Iowa kn-affil= en-keyword=Jacobi forms kn-keyword=Jacobi forms en-keyword=Jacobi-like forms kn-keyword=Jacobi-like forms en-keyword=modular forms kn-keyword=modular forms en-keyword=quasimodular forms kn-keyword=quasimodular forms END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=107 end-page=122 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on products in stable homotopy groups of spheres via the classical Adams spectral sequence en-subtitle= kn-subtitle= en-abstract= kn-abstract=In recent years, Liu and his collaborators found many non-trivial products of generators in the homotopy groups of the sphere spectrum. In this paper, we show a result which not only implies most of their results, but also extends a result of theirs. en-copyright= kn-copyright= en-aut-name=KatoRyo en-aut-sei=Kato en-aut-mei=Ryo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=Shimomurakatsumi en-aut-sei=Shimomura en-aut-mei=katsumi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Faculty of Fundamental Science, National Institute of Technology, Niihama College kn-affil= affil-num=2 en-affil=Department of Mathematics, faculty of Science and Technology, Kochi University kn-affil= en-keyword=Stable homotopy of spheres kn-keyword=Stable homotopy of spheres en-keyword=Adams spectral sequence kn-keyword=Adams spectral sequence en-keyword=May spectral sequence kn-keyword=May spectral sequence END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=87 end-page=105 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A weak Euler formula for l-adic Galois double zeta values en-subtitle= kn-subtitle= en-abstract= kn-abstract=The fact that the double zeta values ζ(n, m) can be written in terms of zeta values, whenever n+m is odd is attributed to Euler. We shall show the weak version of this result for the l-adic Galois realization. en-copyright= kn-copyright= en-aut-name=ZdzisławWojtkowiak en-aut-sei=Zdzisław en-aut-mei=Wojtkowiak kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Université de Nice-Sophia Antipolis, Déartement de Math ématiques Laboratoire Jean Alexandre Dieudonné kn-affil= en-keyword=multiple zeta values kn-keyword=multiple zeta values en-keyword=Galois groups kn-keyword=Galois groups en-keyword=fundamental groups kn-keyword=fundamental groups END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=61 end-page=86 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Defining relations of 3-dimensional quadratic AS-regular algebras en-subtitle= kn-subtitle= en-abstract= kn-abstract=Classification of AS-regular algebras is one of the main interests in non-commutative algebraic geometry. Recently, a complete list of superpotentials (defining relations) of all 3-dimensional AS-regular algebras which are Calabi-Yau was given by Mori-Smith (the quadratic case) and Mori-Ueyama (the cubic case), however, no complete list of defining relations of all 3-dimensional AS-regular algebras has not appeared in the literature. In this paper, we give all possible defining relations of 3-dimensional quadratic AS-regular algebras. Moreover, we classify them up to isomorphism and up to graded Morita equivalence in terms of their defining relations in the case that their point schemes are not elliptic curves. In the case that their point schemes are elliptic curves, we give conditions for isomorphism and graded Morita equivalence in terms of geometric data. en-copyright= kn-copyright= en-aut-name=ItabaAyako en-aut-sei=Itaba en-aut-mei=Ayako kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=MatsunoMasaki en-aut-sei=Matsuno en-aut-mei=Masaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Mathematics, faculty of Science, Tokyo University of Science kn-affil= affil-num=2 en-affil=Graduate School of Science and Technology, Shizuoka University kn-affil= en-keyword=AS-regular algebras kn-keyword=AS-regular algebras en-keyword=geometric algebras kn-keyword=geometric algebras en-keyword=quadratic algebras kn-keyword=quadratic algebras en-keyword=nodal cubic curves kn-keyword=nodal cubic curves en-keyword=elliptic curves kn-keyword=elliptic curves en-keyword=Hesse form kn-keyword=Hesse form en-keyword=Sklyanin algebras kn-keyword=Sklyanin algebras END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=53 end-page=60 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Remark on a Paper by Izadi and Baghalaghdam about Cubes and Fifth Powers Sums en-subtitle= kn-subtitle= en-abstract= kn-abstract= In this paper, we refine the method introduced by Izadi and Baghalaghdam to search integer solutions to the Diophantine equation. We show that the Diophantine equation has infinitely many positive solutions. en-copyright= kn-copyright= en-aut-name=IokibeGaku en-aut-sei=Iokibe en-aut-mei=Gaku kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, Graduate School of Science, Osaka University kn-affil= en-keyword=Diophantine equations kn-keyword=Diophantine equations en-keyword=Elliptic Curves kn-keyword=Elliptic Curves END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=15 end-page=52 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Differential geometry of invariant surfaces in simply isotropic and pseudo-isotropic spaces en-subtitle= kn-subtitle= en-abstract= kn-abstract=We study invariant surfaces generated by one-parameter subgroups of simply and pseudo isotropic rigid motions. Basically, the simply and pseudo isotropic geometries are the study of a three-dimensional space equipped with a rank 2 metric of index zero and one, respectively. We show that the one-parameter subgroups of isotropic rigid motions lead to seven types of invariant surfaces, which then generalizes the study of revolution and helicoidal surfaces in Euclidean and Lorentzian spaces to the context of singular metrics. After computing the two fundamental forms of these surfaces and their Gaussian and mean curvatures, we solve the corresponding problem of prescribed curvature for invariant surfaces whose generating curves lie on a plane containing the degenerated direction. en-copyright= kn-copyright= en-aut-name=da SilvaLuiz C. B. en-aut-sei=da Silva en-aut-mei=Luiz C. B. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Physics of Complex Systems, Weizmann Institute of Science kn-affil= en-keyword=Simply isotropic space kn-keyword=Simply isotropic space en-keyword=pseudo-isotropic space kn-keyword=pseudo-isotropic space en-keyword=singular metric kn-keyword=singular metric en-keyword=invariant surface kn-keyword=invariant surface en-keyword=prescribed Gaussian curvature kn-keyword=prescribed Gaussian curvature en-keyword=prescribed mean curvature kn-keyword=prescribed mean curvature END start-ver=1.4 cd-journal=joma no-vol=63 cd-vols= no-issue=1 article-no= start-page=1 end-page=14 dt-received= dt-revised= dt-accepted= dt-pub-year=2021 dt-pub=202101 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the stability, boundedness, and square integrability of solutions of third order neutral delay differential equations en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, sufficient conditions are established for the stability, boundedness and square integrability of solutions for some non-linear neutral delay differential equations of third order. Lyapunov’s direct method is used to obtain the results. en-copyright= kn-copyright= en-aut-name=GraefJohn R. en-aut-sei=Graef en-aut-mei=John R. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=BeldjerdDjamila en-aut-sei=Beldjerd en-aut-mei=Djamila kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=RemiliMoussadek en-aut-sei=Remili en-aut-mei=Moussadek kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil=Department of Mathematics, University of Tennessee at Chattanooga kn-affil= affil-num=2 en-affil=Oran’s High School of Electrical Engineering and Energetics kn-affil= affil-num=3 en-affil=Department of Mathematics, University of Oran 1 Ahmed Ben Bella kn-affil= en-keyword=boundedness kn-keyword=boundedness en-keyword=stability kn-keyword=stability en-keyword=square integrability kn-keyword=square integrability END start-ver=1.4 cd-journal=joma no-vol=12 cd-vols= no-issue=8 article-no= start-page=1202 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2020 dt-pub=20200722 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Pseudo Random Binary Sequence Based on Cyclic Difference Set en-subtitle= kn-subtitle= en-abstract= kn-abstract=With the increasing reliance on technology, it has become crucial to secure every aspect of online information where pseudo random binary sequences (PRBS) can play an important role in today's world of Internet. PRBS work in the fundamental mathematics behind the security of different protocols and cryptographic applications. This paper proposes a new PRBS namely MK (Mamun, Kumu) sequence for security applications. Proposed sequence is generated by primitive polynomial, cyclic difference set in elements of the field and binarized by quadratic residue (QR) and quadratic nonresidue (QNR). Introduction of cyclic difference set makes a special contribution to randomness of proposed sequence while QR/QNR-based binarization ensures uniformity of zeros and ones in sequence. Besides, proposed sequence has maximum cycle length and high linear complexity which are required properties for sequences to be used in security applications. Several experiments are conducted to verify randomness and results are presented in support of robustness of the proposed MK sequence. The randomness of proposed sequence is evaluated by popular statistical test suite, i.e., NIST STS 800-22 package. The test results confirmed that the proposed sequence is not affected by approximations of any kind and successfully passed all statistical tests defined in NIST STS 800-22 suite. Finally, the efficiency of proposed MK sequence is verified by comparing with some popular sequences in terms of uniformity in bit pattern distribution and linear complexity for sequences of different length. The experimental results validate that the proposed sequence has superior cryptographic properties than existing ones. en-copyright= kn-copyright= en-aut-name=Al MamunMd. Selim en-aut-sei=Al Mamun en-aut-mei=Md. Selim kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=AkhterFatema en-aut-sei=Akhter en-aut-mei=Fatema kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Computer Science and Engineering, Jatiya Kabi Kazi Nazrul Islam University kn-affil= affil-num=2 en-affil=Graduate School of Natural Science and Technology, Okayama University kn-affil= en-keyword=finite field kn-keyword=finite field en-keyword=primitive polynomial kn-keyword=primitive polynomial en-keyword=quadratic residue kn-keyword=quadratic residue en-keyword=pseudo random binary sequence kn-keyword=pseudo random binary sequence en-keyword=NIST statistical test suite kn-keyword=NIST statistical test suite END start-ver=1.4 cd-journal=joma no-vol=1861 cd-vols= no-issue=7 article-no= start-page=148191 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2020 dt-pub=20200701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Spectral tuning of light-harvesting complex II in the siphonous alga Bryopsis corticulans and its effect on energy transfer dynamics en-subtitle= kn-subtitle= en-abstract= kn-abstract=Light-harvesting complex II (LHCII) from the marine green macroalga Bryopsis corticulans is spectroscopically characterized to understand the structural and functional changes resulting from adaptation to intertidal environment. LHCII is homologous to its counterpart in land plants but has a different carotenoid and chlorophyll (Chl) composition. This is reflected in the steady-state absorption, fluorescence, linear dichroism, circular dichroism and anisotropic circular dichroism spectra. Time-resolved fluorescence and two-dimensional electronic spectroscopy were used to investigate the consequences of this adaptive change in the pigment composition on the excited-state dynamics. The complex contains additional Chl b spectral forms – absorbing at around 650 nm and 658 nm – and lacks the red-most Chl a forms compared with higher-plant LHCII. Similar to plant LHCII, energy transfer between Chls occurs on timescales from under hundred fs (mainly from Chl b to Chl a) to several picoseconds (mainly between Chl a pools). However, the presence of long-lived, weakly coupled Chl b and Chl a states leads to slower exciton equilibration in LHCII from B. corticulans. The finding demonstrates a trade-off between the enhanced absorption of blue-green light and the excitation migration time. However, the adaptive change does not result in a significant drop in the overall photochemical efficiency of Photosystem II. These results show that LHCII is a robust adaptable system whose spectral properties can be tuned to the environment for optimal light harvesting. en-copyright= kn-copyright= en-aut-name=AkhtarParveen en-aut-sei=Akhtar en-aut-mei=Parveen kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=NowakowskiPaweł J. en-aut-sei=Nowakowski en-aut-mei=Paweł J. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=WangWenda en-aut-sei=Wang en-aut-mei=Wenda kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=DoThanh Nhut en-aut-sei=Do en-aut-mei=Thanh Nhut kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=ZhaoSonghao en-aut-sei=Zhao en-aut-mei=Songhao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= en-aut-name=SiligardiGiuliano en-aut-sei=Siligardi en-aut-mei=Giuliano kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=6 ORCID= en-aut-name=GarabGyőző en-aut-sei=Garab en-aut-mei=Győző kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=7 ORCID= en-aut-name=ShenJian-Ren en-aut-sei=Shen en-aut-mei=Jian-Ren kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=8 ORCID= en-aut-name=TanHowe-Siang en-aut-sei=Tan en-aut-mei=Howe-Siang kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=9 ORCID= en-aut-name=LambrevPetar H. en-aut-sei=Lambrev en-aut-mei=Petar H. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=10 ORCID= affil-num=1 en-affil=Biological Research Centre kn-affil= affil-num=2 en-affil=ivision of Chemistry and Biological Chemistry, School of Physical and Mathematical Sciences, Nanyang Technological University kn-affil= affil-num=3 en-affil=Photosynthesis Research Centre, Chinese Academy of Sciences kn-affil= affil-num=4 en-affil=Division of Chemistry and Biological Chemistry, School of Physical and Mathematical Sciences, Nanyang Technological University kn-affil= affil-num=5 en-affil=Photosynthesis Research Centre, Chinese Academy of Sciences kn-affil= affil-num=6 en-affil=Diamond Light Source Ltd., Harwell Science and Innovation Campus kn-affil= affil-num=7 en-affil=Biological Research Centre kn-affil= affil-num=8 en-affil=Research Institute for Interdisciplinary Science, Graduate School of Natural Science and Technology, Okayama University kn-affil= affil-num=9 en-affil=Division of Chemistry and Biological Chemistry, School of Physical and Mathematical Sciences, Nanyang Technological University kn-affil= affil-num=10 en-affil=Biological Research Centre kn-affil= en-keyword=Circular dichroism kn-keyword=Circular dichroism en-keyword=Light-harvesting complexes kn-keyword=Light-harvesting complexes en-keyword=Marine algae kn-keyword=Marine algae en-keyword=Photosynthesis kn-keyword=Photosynthesis en-keyword=Time-resolved spectroscopy kn-keyword=Time-resolved spectroscopy en-keyword=Two-dimensional spectroscopy kn-keyword=Two-dimensional spectroscopy END start-ver=1.4 cd-journal=joma no-vol=89 cd-vols= no-issue=6 article-no= start-page=064401 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2020 dt-pub=20200519 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Energy Transfer to Resonant Zonal Rossby Modes in Two-Dimensional Turbulence on a Rotating Sphere en-subtitle= kn-subtitle= en-abstract= kn-abstract=The transfer of energy by the nonlinear interaction of Rossby waves in two-dimensional turbulence on a rotating sphere was investigated in this study. Although it has been suggested that three-wave resonant interaction dominates nonlinear interactions when the rotation rate of the sphere is sufficiently high, resonant interactions do not transfer energy to zonal Rossby waves, resulting in the nonresonant interaction of Rossby waves being responsible for the generation of zonal flows [Reznik, Piterbarg, and Kartashova, Dyn. Atmos. Oceans 18, 235 (1993); Obuse and Yamada, Phys. Rev. Fluids 4, 024601 (2019)]. The resonant and nonresonant interactions of Rossby waves were investigated in this study, and it was found that although energy is transferred to the zonal Rossby modes by the nonresonant three-wave interaction of Rossby waves, the target of this nonresonant energy transfer is only the resonant zonal Rossby waves. en-copyright= kn-copyright= en-aut-name=ObuseKiori en-aut-sei=Obuse en-aut-mei=Kiori kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=YamadaMichio en-aut-sei=Yamada en-aut-mei=Michio kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Graduate School of Environmental and Life Science, Okayama University kn-affil= affil-num=2 en-affil=Research Institute for Mathematical Sciences, Kyoto University kn-affil= END start-ver=1.4 cd-journal=joma no-vol=36 cd-vols= no-issue= article-no= start-page=187 end-page=200 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=20190110 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Direct Measurement of Interaction Forces between Surfaces in Liquids Using Atomic Force Microscopy en-subtitle= kn-subtitle= en-abstract= kn-abstract=The stability of particle suspensions, which is important in numerous industrial processes, is generally dominated by the interaction forces between the suspended particles. Understanding the interaction forces between surfaces in liquids is therefore fundamentally important in order to evaluate and control how particulates, including fluid droplets in emulsions and air bubbles in foams, behave in various systems. The invention of the surface force apparatus (SFA) enabled the direct measurement of interaction forces in liquids with molecular level resolution and it has led to remarkable progress in understanding surface forces in detail. Following the SFA, the application of atomic force microscopy (AFM) to force measurement has further extended the possibility of force measurements to a broad field of research, mainly due to the range of materials that can be employed. This review provides an overview of developments in the investigation of interaction forces between surfaces using AFM. The properties of various interaction forces, important in particle technology, revealed by the studies using AFM are described in detail. en-copyright= kn-copyright= en-aut-name=IshidaNaoyuki en-aut-sei=Ishida en-aut-mei=Naoyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=CraigVincent S. J. en-aut-sei=Craig en-aut-mei=Vincent S. J. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Graduate School of Natural Science and Technology, Okayama University kn-affil= affil-num=2 en-affil=Department of Applied Mathematics, RSPE, Australian National University kn-affil= en-keyword=atomic force microscopy kn-keyword=atomic force microscopy en-keyword=interaction force kn-keyword=interaction force en-keyword=direct measurement kn-keyword=direct measurement en-keyword=liquid phase kn-keyword=liquid phase en-keyword=suspension stability kn-keyword=suspension stability END start-ver=1.4 cd-journal=joma no-vol= cd-vols= no-issue= article-no= start-page= end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2020 dt-pub=20200312 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Reference values for the locomotive syndrome risk test quantifying mobility of 8681 adults aged 20–89 years: A cross-sectional nationwide study in Japan en-subtitle= kn-subtitle= en-abstract= kn-abstract=Background
The locomotive syndrome risk test was developed to quantify the decrease in mobility among adults, which could eventually lead to disability. The purpose of this study was to establish reference values for the locomotive syndrome risk test for adults and investigate the influence of age and sex.
Methods
We analyzed 8681 independent community dwellers (3607 men, 5074 women). Data pertaining to locomotive syndrome risk test (the two-step test, the stand-up test, and the 25-question geriatric locomotive function scale [GLFS-25]) scores were collected from seven administrative areas of Japan.
Results
The reference values of the three test scores were generated and all three test scores gradually decreased among young-to-middle-aged individuals and rapidly decreased in individuals aged over 60 years. The stand-up test score began decreasing significantly from the age of 30 years. The trajectories of decrease in the two-step test score with age was slightly different between men and women especially among the middle-aged individuals. The two physical test scores were more sensitive to aging than the self-reported test score.
Conclusion
The reference values generated in this study could be employed to determine whether an individual has mobility comparable to independent community dwellers of the same age and sex. en-copyright= kn-copyright= en-aut-name=YamadaKeiko en-aut-sei=Yamada en-aut-mei=Keiko kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=ItoYoichi M. en-aut-sei=Ito en-aut-mei=Yoichi M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=AkagiMasao en-aut-sei=Akagi en-aut-mei=Masao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=ChosaEtsuo en-aut-sei=Chosa en-aut-mei=Etsuo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=FujiTakeshi en-aut-sei=Fuji en-aut-mei=Takeshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= en-aut-name=HiranoKenichi en-aut-sei=Hirano en-aut-mei=Kenichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=6 ORCID= en-aut-name=IkedaShinichi en-aut-sei=Ikeda en-aut-mei=Shinichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=7 ORCID= en-aut-name=IshibashiHideaki en-aut-sei=Ishibashi en-aut-mei=Hideaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=8 ORCID= en-aut-name=IshibashiYasuyuki en-aut-sei=Ishibashi en-aut-mei=Yasuyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=9 ORCID= en-aut-name=IshijimaMuneaki en-aut-sei=Ishijima en-aut-mei=Muneaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=10 ORCID= en-aut-name=ItoiEiji en-aut-sei=Itoi en-aut-mei=Eiji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=11 ORCID= en-aut-name=IwasakiNorimasa en-aut-sei=Iwasaki en-aut-mei=Norimasa kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=12 ORCID= en-aut-name=IzumidaRyoichi en-aut-sei=Izumida en-aut-mei=Ryoichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=13 ORCID= en-aut-name=KadoyaKen en-aut-sei=Kadoya en-aut-mei=Ken kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=14 ORCID= en-aut-name=KamimuraMasayuki en-aut-sei=Kamimura en-aut-mei=Masayuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=15 ORCID= en-aut-name=KanajiArihiko en-aut-sei=Kanaji en-aut-mei=Arihiko kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=16 ORCID= en-aut-name=KatoHiroyuki en-aut-sei=Kato en-aut-mei=Hiroyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=17 ORCID= en-aut-name=KishidaShunji en-aut-sei=Kishida en-aut-mei=Shunji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=18 ORCID= en-aut-name=MashimaNaohiko en-aut-sei=Mashima en-aut-mei=Naohiko kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=19 ORCID= en-aut-name=MatsudaShuichi en-aut-sei=Matsuda en-aut-mei=Shuichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=20 ORCID= en-aut-name=MatsuiYasumoto en-aut-sei=Matsui en-aut-mei=Yasumoto kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=21 ORCID= en-aut-name=MatsunagaToshiki en-aut-sei=Matsunaga en-aut-mei=Toshiki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=22 ORCID= en-aut-name=MiyakoshiNaohisa en-aut-sei=Miyakoshi en-aut-mei=Naohisa kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=23 ORCID= en-aut-name=MizutaHiroshi en-aut-sei=Mizuta en-aut-mei=Hiroshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=24 ORCID= en-aut-name=NakamuraYutaka en-aut-sei=Nakamura en-aut-mei=Yutaka kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=25 ORCID= en-aut-name=NakataKen en-aut-sei=Nakata en-aut-mei=Ken kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=26 ORCID= en-aut-name=OmoriGo en-aut-sei=Omori en-aut-mei=Go kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=27 ORCID= en-aut-name=OsukaKoji en-aut-sei=Osuka en-aut-mei=Koji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=28 ORCID= en-aut-name=UchioYuji en-aut-sei=Uchio en-aut-mei=Yuji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=29 ORCID= en-aut-name=RyuKazuteru en-aut-sei=Ryu en-aut-mei=Kazuteru kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=30 ORCID= en-aut-name=SasakiNobuyuki en-aut-sei=Sasaki en-aut-mei=Nobuyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=31 ORCID= en-aut-name=SatoKimihito en-aut-sei=Sato en-aut-mei=Kimihito kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=32 ORCID= en-aut-name=SendaMasuo en-aut-sei=Senda en-aut-mei=Masuo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=33 ORCID= en-aut-name=SudoAkihiro en-aut-sei=Sudo en-aut-mei=Akihiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=34 ORCID= en-aut-name=TakahiraNaonobu en-aut-sei=Takahira en-aut-mei=Naonobu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=35 ORCID= en-aut-name=TsumuraHiroshi en-aut-sei=Tsumura en-aut-mei=Hiroshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=36 ORCID= en-aut-name=YamaguchiSatoshi en-aut-sei=Yamaguchi en-aut-mei=Satoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=37 ORCID= en-aut-name=YamamotoNoriaki en-aut-sei=Yamamoto en-aut-mei=Noriaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=38 ORCID= en-aut-name=NakamuraKozo en-aut-sei=Nakamura en-aut-mei=Kozo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=39 ORCID= en-aut-name=Takashi Ohe en-aut-sei=Takashi en-aut-mei= Ohe kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=40 ORCID= affil-num=1 en-affil=Departments of Sensory & Motor System Medicine, Faculty of Medicine, The University of Tokyo kn-affil= affil-num=2 en-affil=Department of Statistical Data Science, The Institute of Statistical Mathematics kn-affil= affil-num=3 en-affil=Department of Orthopedic Surgery, Kindai University Hospital kn-affil= affil-num=4 en-affil=Department of Orthopaedic Surgery, University of Miyazaki kn-affil= affil-num=5 en-affil=“Locomo Challenge!” Promotion Council kn-affil= affil-num=6 en-affil=Hirano Orthopaedics Clinic kn-affil= affil-num=7 en-affil=Department of Orthopaedic Surgery, Oita University, kn-affil= affil-num=8 en-affil=“Locomo Challenge!” Promotion Council kn-affil= affil-num=9 en-affil=Department of Orthopaedic Surgery, Hirosaki University Graduate School of Medicine kn-affil= affil-num=10 en-affil=“Locomo Challenge!” Promotion Council kn-affil= affil-num=11 en-affil=Department of Orthopaedic Surgery, Tohoku University Graduate School of Medicine kn-affil= affil-num=12 en-affil=“Locomo Challenge!” Promotion Council kn-affil= affil-num=13 en-affil=“Locomo Challenge!” Promotion Council kn-affil= affil-num=14 en-affil=Department of Advanced Medicine for Locomotor System, Faculty of Medicine and Graduate School of Medicine, Hokkaido University kn-affil= affil-num=15 en-affil=Department of Orthopaedic Surgery, Tohoku University Graduate School of Medicine kn-affil= affil-num=16 en-affil=“Locomo Challenge!” Promotion Council kn-affil= affil-num=17 en-affil=Department of Orthopaedic Surgery, Shinshu University School of Medicine kn-affil= affil-num=18 en-affil=“Locomo Challenge!” Promotion Council kn-affil= affil-num=19 en-affil=Department of Bone and Joint Surgery, Ehime University Graduate School of Medicine kn-affil= affil-num=20 en-affil=Department of Orthopaedic Surgery, Kyoto University Graduate School of Medicine kn-affil= affil-num=21 en-affil=Center for Frailty and Locomotive Syndrome, National Center for Geriatrics and Gerontology kn-affil= affil-num=22 en-affil=Department of Rehabilitation Medicine, Akita University Hospital kn-affil= affil-num=23 en-affil=Department of Orthopedic Surgery, Akita University Graduate School of Medicine kn-affil= affil-num=24 en-affil=Department of Orthopaedic Surgery, Faculty of Life Sciences, Kumamoto University kn-affil= affil-num=25 en-affil=Saiseikai Shonan Hiratsuka Hospital kn-affil= affil-num=26 en-affil=Medicine for Sports and Performing Arts, Osaka University Graduate School of Medicine kn-affil= affil-num=27 en-affil=Department of Sports and Health, Faculty of Health and Science, Niigata University of Health and Welfare kn-affil= affil-num=28 en-affil=Osuka Clinic kn-affil= affil-num=29 en-affil=Department of Orthopaedic Surgery, Shimane University kn-affil= affil-num=30 en-affil=Kanai Hospital kn-affil= affil-num=31 en-affil=Sasaki Orthopedic and Anesthesiology Clinic kn-affil= affil-num=32 en-affil=“Locomo Challenge!” Promotion Council kn-affil= affil-num=33 en-affil=Okayama University Hospital, Division of Physical Medicine and Rehabilitation kn-affil= affil-num=34 en-affil=Department of Orthopaedic Surgery, Mie University Graduate School of Medicine kn-affil= affil-num=35 en-affil=Department of Rehabilitation, Kitasato University School of Allied Health Sciences kn-affil= affil-num=36 en-affil=Department of Orthopaedic Surgery kn-affil= affil-num=37 en-affil=“Locomo Challenge!” Promotion Council kn-affil= affil-num=38 en-affil=Nigata Rehabilitation Hospital kn-affil= affil-num=39 en-affil=“Locomo Challenge!” Promotion Council kn-affil= affil-num=40 en-affil=“Locomo Challenge!” Promotion Council, T kn-affil= END start-ver=1.4 cd-journal=joma no-vol=959 cd-vols= no-issue= article-no= start-page=163549 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2020 dt-pub=20200411 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Evaluation of gadolinium’s action on water Cherenkov detector systems with EGADS en-subtitle= kn-subtitle= en-abstract= kn-abstract= Used for both proton decay searches and neutrino physics, large water Cherenkov (WC) detectors have been very successful tools in particle physics. They are notable for their large masses and charged particle detection capabilities. While current WC detectors reconstruct charged particle tracks over a wide energy range, they cannot efficiently detect neutrons. Gadolinium (Gd) has the largest thermal neutron capture cross section of all stable nuclei and produces an 8 MeV gamma cascade that can be detected with high efficiency. Because of the many new physics opportunities that neutron tagging with a Gd salt dissolved in water would open up, a large-scale R&D program called EGADS was established to demonstrate this technique’s feasibility. EGADS features all the components of a WC detector, chiefly a 200-ton stainless steel water tank furnished with 240 photo-detectors, DAQ, and a water system that removes all impurities from water while keeping Gd in solution. In this paper we discuss the milestones towards demonstrating the feasibility of this novel technique, and the features of EGADS in detail. en-copyright= kn-copyright= en-aut-name=MartiLl. en-aut-sei=Marti en-aut-mei=Ll. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=IkedaM. en-aut-sei=Ikeda en-aut-mei=M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=KatoY. en-aut-sei=Kato en-aut-mei=Y. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=KishimotoY. en-aut-sei=Kishimoto en-aut-mei=Y. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=NakahataM. en-aut-sei=Nakahata en-aut-mei=M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= en-aut-name=NakajimaY. en-aut-sei=Nakajima en-aut-mei=Y. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=6 ORCID= en-aut-name=NakanoY. en-aut-sei=Nakano en-aut-mei=Y. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=7 ORCID= en-aut-name=NakayamaS. en-aut-sei=Nakayama en-aut-mei=S. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=8 ORCID= en-aut-name=OkajimaY. en-aut-sei=Okajima en-aut-mei=Y. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=9 ORCID= en-aut-name=OriiA. en-aut-sei=Orii en-aut-mei=A. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=10 ORCID= en-aut-name=PronostG. en-aut-sei=Pronost en-aut-mei=G. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=11 ORCID= en-aut-name=SekiyaH. en-aut-sei=Sekiya en-aut-mei=H. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=12 ORCID= en-aut-name=ShiozawaM. en-aut-sei=Shiozawa en-aut-mei=M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=13 ORCID= en-aut-name=TanakaH. en-aut-sei=Tanaka en-aut-mei=H. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=14 ORCID= en-aut-name=UenoK. en-aut-sei=Ueno en-aut-mei=K. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=15 ORCID= en-aut-name=YamadaS. en-aut-sei=Yamada en-aut-mei=S. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=16 ORCID= en-aut-name=YanoT. en-aut-sei=Yano en-aut-mei=T. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=17 ORCID= en-aut-name=YokozawaT. en-aut-sei=Yokozawa en-aut-mei=T. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=18 ORCID= en-aut-name=MurdochM. en-aut-sei=Murdoch en-aut-mei=M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=19 ORCID= en-aut-name=SchuemannJ. en-aut-sei=Schuemann en-aut-mei=J. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=20 ORCID= en-aut-name=VaginsM.R. en-aut-sei=Vagins en-aut-mei=M.R. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=21 ORCID= en-aut-name=BaysK. en-aut-sei=Bays en-aut-mei=K. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=22 ORCID= en-aut-name=CarminatiG. en-aut-sei=Carminati en-aut-mei=G. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=23 ORCID= en-aut-name=GriskevichN.J. en-aut-sei=Griskevich en-aut-mei=N.J. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=24 ORCID= en-aut-name=KroppW.R. en-aut-sei=Kropp en-aut-mei=W.R. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=25 ORCID= en-aut-name=LockeS. en-aut-sei=Locke en-aut-mei=S. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=26 ORCID= en-aut-name=RenshawA. en-aut-sei=Renshaw en-aut-mei=A. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=27 ORCID= en-aut-name=SmyM.B. en-aut-sei=Smy en-aut-mei=M.B. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=28 ORCID= en-aut-name=WeatherlyP. en-aut-sei=Weatherly en-aut-mei=P. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=29 ORCID= en-aut-name=ItoS. en-aut-sei=Ito en-aut-mei=S. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=30 ORCID= en-aut-name=IshinoH. en-aut-sei=Ishino en-aut-mei=H. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=31 ORCID= en-aut-name=KibayashiA. en-aut-sei=Kibayashi en-aut-mei=A. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=32 ORCID= en-aut-name=KoshioY. en-aut-sei=Koshio en-aut-mei=Y. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=33 ORCID= en-aut-name=MoriT. en-aut-sei=Mori en-aut-mei=T. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=34 ORCID= en-aut-name=SakudaM. en-aut-sei=Sakuda en-aut-mei=M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=35 ORCID= en-aut-name=YamaguchiR. en-aut-sei=Yamaguchi en-aut-mei=R. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=36 ORCID= en-aut-name=FernandezP. en-aut-sei=Fernandez en-aut-mei=P. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=37 ORCID= en-aut-name=LabargaL. en-aut-sei=Labarga en-aut-mei=L. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=38 ORCID= en-aut-name=BandacI. en-aut-sei=Bandac en-aut-mei=I. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=39 ORCID= en-aut-name=PerezJ. en-aut-sei=Perez en-aut-mei=J. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=40 ORCID= en-aut-name=AmeyJ. en-aut-sei=Amey en-aut-mei=J. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=41 ORCID= en-aut-name=LitchfieldR.P. en-aut-sei=Litchfield en-aut-mei=R.P. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=42 ORCID= en-aut-name=SztucA. en-aut-sei=Sztuc en-aut-mei=A. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=43 ORCID= en-aut-name=UchidaY. en-aut-sei=Uchida en-aut-mei=Y. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=44 ORCID= en-aut-name=MaW.Y. en-aut-sei=Ma en-aut-mei=W.Y. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=45 ORCID= en-aut-name=GoldsackA. en-aut-sei=Goldsack en-aut-mei=A. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=46 ORCID= en-aut-name=SimpsonC. en-aut-sei=Simpson en-aut-mei=C. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=47 ORCID= en-aut-name=WarkD. en-aut-sei=Wark en-aut-mei=D. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=48 ORCID= en-aut-name=AnthonyL.H.V. en-aut-sei=Anthony en-aut-mei=L.H.V. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=49 ORCID= en-aut-name=McCauleyN. en-aut-sei=McCauley en-aut-mei=N. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=50 ORCID= en-aut-name=PritchardA. en-aut-sei=Pritchard en-aut-mei=A. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=51 ORCID= en-aut-name=Di LodovicoF. en-aut-sei=Di Lodovico en-aut-mei=F. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=52 ORCID= en-aut-name=RichardsB. en-aut-sei=Richards en-aut-mei=B. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=53 ORCID= en-aut-name=ColeA. en-aut-sei=Cole en-aut-mei=A. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=54 ORCID= en-aut-name=ThiesseM. en-aut-sei=Thiesse en-aut-mei=M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=55 ORCID= en-aut-name=ThompsonL. en-aut-sei=Thompson en-aut-mei=L. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=56 ORCID= en-aut-name=ImberJ. en-aut-sei=Imber en-aut-mei=J. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=57 ORCID= en-aut-name=CaoS.V. en-aut-sei=Cao en-aut-mei=S.V. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=58 ORCID= en-aut-name=ItoK. en-aut-sei=Ito en-aut-mei=K. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=59 ORCID= en-aut-name=TakeuchiY. en-aut-sei=Takeuchi en-aut-mei=Y. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=60 ORCID= en-aut-name=AkutsuR. en-aut-sei=Akutsu en-aut-mei=R. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=61 ORCID= en-aut-name=NishimuraY. en-aut-sei=Nishimura en-aut-mei=Y. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=62 ORCID= en-aut-name=OkumuraK. en-aut-sei=Okumura en-aut-mei=K. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=63 ORCID= en-aut-name=HirotaS. en-aut-sei=Hirota en-aut-mei=S. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=64 ORCID= en-aut-name=MutoF. en-aut-sei=Muto en-aut-mei=F. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=65 ORCID= en-aut-name=YokoyamaM. en-aut-sei=Yokoyama en-aut-mei=M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=66 ORCID= en-aut-name=SudaY. en-aut-sei=Suda en-aut-mei=Y. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=67 ORCID= en-aut-name=ZhangH. en-aut-sei=Zhang en-aut-mei=H. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=68 ORCID= affil-num=1 en-affil=Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo kn-affil= affil-num=2 en-affil=Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo kn-affil= affil-num=3 en-affil=Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo kn-affil= affil-num=4 en-affil=Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo kn-affil= affil-num=5 en-affil=Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo kn-affil= affil-num=6 en-affil=Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo kn-affil= affil-num=7 en-affil=Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo kn-affil= affil-num=8 en-affil=Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo kn-affil= affil-num=9 en-affil=Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo kn-affil= affil-num=10 en-affil=Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo kn-affil= affil-num=11 en-affil=Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo kn-affil= affil-num=12 en-affil=Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo kn-affil= affil-num=13 en-affil=Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo kn-affil= affil-num=14 en-affil=Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo kn-affil= affil-num=15 en-affil=Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo kn-affil= affil-num=16 en-affil=Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo kn-affil= affil-num=17 en-affil=Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo kn-affil= affil-num=18 en-affil=Kamioka Observatory, Institute for Cosmic Ray Research, University of Tokyo kn-affil= affil-num=19 en-affil= Kavli Institute for the Physics and Mathematics of the Universe (WPI), The University of Tokyo Institutes for Advanced Study kn-affil= affil-num=20 en-affil= Kavli Institute for the Physics and Mathematics of the Universe (WPI), The University of Tokyo Institutes for Advanced Study kn-affil= affil-num=21 en-affil= Kavli Institute for the Physics and Mathematics of the Universe (WPI), The University of Tokyo Institutes for Advanced Study kn-affil= affil-num=22 en-affil= Department of Physics and Astronomy, University of California kn-affil= affil-num=23 en-affil= Department of Physics and Astronomy, University of California kn-affil= affil-num=24 en-affil= Department of Physics and Astronomy, University of California kn-affil= affil-num=25 en-affil= Department of Physics and Astronomy, University of California kn-affil= affil-num=26 en-affil= Department of Physics and Astronomy, University of California kn-affil= affil-num=27 en-affil= Department of Physics and Astronomy, University of California kn-affil= affil-num=28 en-affil= Department of Physics and Astronomy, University of California kn-affil= affil-num=29 en-affil= Department of Physics and Astronomy, University of California kn-affil= affil-num=30 en-affil= Department of Physics, Okayama University kn-affil= affil-num=31 en-affil=Department of Physics, Okayama University kn-affil= affil-num=32 en-affil=Department of Physics, Okayama University kn-affil= affil-num=33 en-affil=Department of Physics, Okayama University kn-affil= affil-num=34 en-affil=Department of Physics, Okayama University kn-affil= affil-num=35 en-affil=Department of Physics, Okayama University kn-affil= affil-num=36 en-affil=Department of Physics, Okayama University kn-affil= affil-num=37 en-affil= Department of Theoretical Physics, University Autonoma Madrid kn-affil= affil-num=38 en-affil= Department of Theoretical Physics, University Autonoma Madrid kn-affil= affil-num=39 en-affil=Laboratorio Subterraneo de Canfranc kn-affil= affil-num=40 en-affil=Laboratorio Subterraneo de Canfranc kn-affil= affil-num=41 en-affil=Department of Physics, Imperial College London kn-affil= affil-num=42 en-affil=Department of Physics, Imperial College London kn-affil= affil-num=43 en-affil=Department of Physics, Imperial College London kn-affil= affil-num=44 en-affil=Department of Physics, Imperial College London kn-affil= affil-num=45 en-affil=Department of Physics, Imperial College London kn-affil= affil-num=46 en-affil=Department of Physics, Oxford University kn-affil= affil-num=47 en-affil=Department of Physics, Oxford University kn-affil= affil-num=48 en-affil=Department of Physics, Oxford University kn-affil= affil-num=49 en-affil=Department of Physics, University of Liverpool kn-affil= affil-num=50 en-affil=Department of Physics, University of Liverpool kn-affil= affil-num=51 en-affil=Department of Physics, University of Liverpool kn-affil= affil-num=52 en-affil= Department of Physics, King’s College London kn-affil= affil-num=53 en-affil= Department of Physics, King’s College London kn-affil= affil-num=54 en-affil=Department of Physics and Astronomy, University of Sheffield kn-affil= affil-num=55 en-affil=Department of Physics and Astronomy, University of Sheffield kn-affil= affil-num=56 en-affil=Department of Physics and Astronomy, University of Sheffield kn-affil= affil-num=57 en-affil= Ecole Polytechnique, IN2P3-CNRS, Laboratoire Leprince-Ringuet kn-affil= affil-num=58 en-affil=High Energy Accelerator Research Organization (KEK) kn-affil= affil-num=59 en-affil=Department of Physics, Tokai University kn-affil= affil-num=60 en-affil= Department of Physics, Kobe University kn-affil= affil-num=61 en-affil=Research Center for Cosmic Neutrinos, Institute for Cosmic Ray Research, University of Tokyo kn-affil= affil-num=62 en-affil=Research Center for Cosmic Neutrinos, Institute for Cosmic Ray Research, University of Tokyo kn-affil= affil-num=63 en-affil=Research Center for Cosmic Neutrinos, Institute for Cosmic Ray Research, University of Tokyo kn-affil= affil-num=64 en-affil= Department of Physics, Kyoto University kn-affil= affil-num=65 en-affil= Institute for Space-Earth Environmental Research, Nagoya University kn-affil= affil-num=66 en-affil=Department of Physics, University of Tokyo kn-affil= affil-num=67 en-affil=Department of Physics, University of Tokyo kn-affil= affil-num=68 en-affil=Department of Engineering Physics, Tsinghua University kn-affil= END start-ver=1.4 cd-journal=joma no-vol=40 cd-vols= no-issue=6 article-no= start-page=3981 end-page=3995 dt-received= dt-revised= dt-accepted= dt-pub-year=2020 dt-pub=202006 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Axisymmetric traveling fronts in balanced bistable reaction-diffusion equations en-subtitle= kn-subtitle= en-abstract= kn-abstract=For a balanced bistable reaction-diffusion equation, the existence of axisymmetric traveling fronts has been studied by Chen, Guo, Ninomiya, Hamel and Roquejoffre [4]. This paper gives another proof of the existence of axisymmetric traveling fronts. Our method is as follows. We use pyramidal traveling fronts for unbalanced reaction-diffusion equations, and take the balanced limit. Then we obtain axisymmetric traveling fronts in a balanced bistable reaction-diffusion equation. Since pyramidal traveling fronts have been studied in many equations or systems, our method might be applicable to study axisymmetric traveling fronts in these equations or systems. en-copyright= kn-copyright= en-aut-name=TaniguchiMasaharu en-aut-sei=Taniguchi en-aut-mei=Masaharu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= Research Institute for Interdisciplinary Science, Okayama University kn-affil= en-keyword= Traveling front kn-keyword= Traveling front en-keyword= reaction-diffusion equation kn-keyword= reaction-diffusion equation en-keyword=axisymmetric kn-keyword=axisymmetric en-keyword=balanced kn-keyword=balanced END start-ver=1.4 cd-journal=joma no-vol=556 cd-vols= no-issue= article-no= start-page=879 end-page=907 dt-received= dt-revised= dt-accepted= dt-pub-year=2020 dt-pub=20200815 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Constructing indecomposable integrally closed modules over a two-dimensional regular local ring en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this article, we construct integrally closed modules of rank two over a two-dimensional regular local ring. The modules are explicitly constructed from a given complete monomial ideal with respect to a regular system of parameters. Then we investigate their indecomposability. As a consequence, we have a large class of indecomposable integrally closed modules whose Fitting ideal is not simple. This gives an answer to Kodiyalam's question. en-copyright= kn-copyright= en-aut-name=HayasakaFutoshi en-aut-sei=Hayasaka en-aut-mei=Futoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Environmental and Mathematical Sciences, Okayama University kn-affil= en-keyword=Integral closure kn-keyword=Integral closure en-keyword=Indecomposable module kn-keyword=Indecomposable module en-keyword=Monomial ideal kn-keyword=Monomial ideal en-keyword=Regular local ring kn-keyword=Regular local ring END start-ver=1.4 cd-journal=joma no-vol=224 cd-vols= no-issue=1 article-no= start-page=411 end-page=422 dt-received= dt-revised= dt-accepted= dt-pub-year=2020 dt-pub=202001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Automorphism groups of rational surfaces en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we consider automorphism groups of rational surfaces which admit cuspidal anticanonical curves and have certain nontrivial automorphisms. By applying Coxeter theory, we show that the automorphism groups of the surfaces are isomorphic to the infinite cyclic group. en-copyright= kn-copyright= en-aut-name=UeharaTakato en-aut-sei=Uehara en-aut-mei=Takato kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, Okayama University kn-affil= en-keyword=Rational surface kn-keyword=Rational surface en-keyword=Automorphism group kn-keyword=Automorphism group en-keyword=Cuspidal anticanonical curve kn-keyword=Cuspidal anticanonical curve END start-ver=1.4 cd-journal=joma no-vol=109 cd-vols= no-issue= article-no= start-page=7 end-page=11 dt-received= dt-revised= dt-accepted= dt-pub-year=2020 dt-pub=20200201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title=Mathematical analysis of copy number variation of 2 μ-based plasmids in yeast cells kn-title=酵母2μプラスミドのコピー数変動の数理的解析 en-subtitle= kn-subtitle= en-abstract= kn-abstract=  Plasmids with the 2 μ plasmid origin are commonly-used in the genetic engineering of the budding yeast Saccharomyces cerevisiae. Intracellular copy numbers of 2 μ plasmids are different depending on the genes inserted into the plasmids. This difference is thought to occur from the difference in the growth efficiency (fitness) produced by the positive- and negative-selection biases of genes inserted in the plasmid. In this study, we made a mathematical model based on this assumption. Computational simulations of the model validated that copy numbers of the plasmids are rapidly settled depending on the fitness created by the gene on the plasmid. The copy number of a plasmid only contains a bias to keep the plasmid in a single copy became average 20copies per cell when the plasmid is randomly distributed, suggesting that no positive distribution mechanism is required for a plasmid to become multicopy. en-copyright= kn-copyright= en-aut-name=SaekiNozomu en-aut-sei=Saeki en-aut-mei=Nozomu kn-aut-name=佐伯望 kn-aut-sei=佐伯 kn-aut-mei=望 aut-affil-num=1 ORCID= en-aut-name=MoriyaHisao en-aut-sei=Moriya en-aut-mei=Hisao kn-aut-name=守屋央朗 kn-aut-sei=守屋 kn-aut-mei=央朗 aut-affil-num=2 ORCID= affil-num=1 en-affil=Graduate School of Environmental and Life Science, Okayama University) kn-affil=岡山大学大学院 環境生命科学研究科 affil-num=2 en-affil= Research Core for Interdisciplinary Sciences, Okayama University kn-affil=異分野融合先端研究コア en-keyword=yeast kn-keyword=yeast en-keyword=2 μ plasmid kn-keyword=2 μ plasmid en-keyword=mathematical model kn-keyword=mathematical model END start-ver=1.4 cd-journal=joma no-vol=62 cd-vols= no-issue=1 article-no= start-page=197 end-page=210 dt-received= dt-revised= dt-accepted= dt-pub-year=2020 dt-pub=202001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Existence and stability of stationary solutions to the Allen-Cahn equation discretized in space and time en-subtitle= kn-subtitle= en-abstract= kn-abstract= The existence and stability of the Allen–Cahn equation discretized in space and time are studied in a finite spatial interval. If a parameter is less than or equals to a critical value, the zero solution is the only stationary solution. If the parameter is larger than the critical value, one has a positive stationary solution and this positive stationary solution is asymptotically stable. en-copyright= kn-copyright= en-aut-name=Amy Poh Ai Ling en-aut-sei=Amy Poh Ai Ling en-aut-mei= kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TaniguchiMasaharu en-aut-sei=Taniguchi en-aut-mei=Masaharu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Division of Mathematics and Physics, Graduate School of Natural Science and Technology, Okayama University kn-affil= affil-num=2 en-affil=Research Institute for Interdisciplinary Science, Okayama University kn-affil= en-keyword=Allen–Cahn equation kn-keyword=Allen–Cahn equation en-keyword=stationary solution kn-keyword=stationary solution en-keyword=comparison theorem kn-keyword=comparison theorem en-keyword=discretized kn-keyword=discretized END start-ver=1.4 cd-journal=joma no-vol=62 cd-vols= no-issue=1 article-no= start-page=179 end-page=195 dt-received= dt-revised= dt-accepted= dt-pub-year=2020 dt-pub=202001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Analytic extension of exceptional constant mean curvature one catenoids in de Sitter 3-space en-subtitle= kn-subtitle= en-abstract= kn-abstract= Catenoids in de Sitter 3-space S31 belong to a certain class of space-like constant mean curvature one surfaces. In a previous work, the authors classified such catenoids, and found that two different classes of countably many exceptional elliptic catenoids are not realized as closed subsets in S31 . Here we show that such exceptional catenoids have closed analytic extensions in S31 with interesting properties. en-copyright= kn-copyright= en-aut-name=FujimoriShoichi en-aut-sei=Fujimori en-aut-mei=Shoichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KawakamiYu en-aut-sei=Kawakami en-aut-mei=Yu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=KokubuMasatoshi en-aut-sei=Kokubu en-aut-mei=Masatoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=RossmanWayne en-aut-sei=Rossman en-aut-mei=Wayne kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=UmeharaMasaaki en-aut-sei=Umehara en-aut-mei=Masaaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= en-aut-name=YamadaKotaro en-aut-sei=Yamada en-aut-mei=Kotaro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=6 ORCID= affil-num=1 en-affil=Department of Mathematics, Hiroshima University kn-affil= affil-num=2 en-affil=Graduate School of Natural Science and Technology, Kanazawa University kn-affil= affil-num=3 en-affil=Department of Mathematics, School of Engineering, Tokyo Denki University kn-affil= affil-num=4 en-affil=Department of Mathematics, Faculty of Science, Kobe University kn-affil= affil-num=5 en-affil=Department of Mathematical and Computing Sciences, Tokyo Institute of Technology kn-affil= affil-num=6 en-affil=Department of Mathematics, Tokyo Institute of Technology kn-affil= en-keyword=constant mean curvature kn-keyword=constant mean curvature en-keyword=de Sitter space kn-keyword=de Sitter space en-keyword=analytic extension kn-keyword=analytic extension END start-ver=1.4 cd-journal=joma no-vol=62 cd-vols= no-issue=1 article-no= start-page=87 end-page=178 dt-received= dt-revised= dt-accepted= dt-pub-year=2020 dt-pub=202001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Crystal interpretation of a formula on the branching rule of types Bn, Cn, and Dn en-subtitle= kn-subtitle= en-abstract= kn-abstract=The branching coefficients of the tensor product of finite-dimensional irreducible Uq(g)-modules, where g is so(2n + 1, C) (Bn-type), sp(2n,C) (Cn-type), and so(2n,C) (Dn-type), are expressed in terms of Littlewood-Richardson (LR) coefficients in the stable region. We give an interpretation of this relation by Kashiwara’s crystal theory by providing an explicit surjection from the LR crystal of type Cn to the disjoint union of Cartesian product of LR crystals of An−1-type and by proving that LR crystals of types Bn and Dn are identical to the corresponding LR crystal of type Cn in the stable region. en-copyright= kn-copyright= en-aut-name=HiroshimaToya en-aut-sei=Hiroshima en-aut-mei=Toya kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University kn-affil= en-keyword=Kashiwara crystals kn-keyword=Kashiwara crystals en-keyword=Littlewood-Richardson crystals kn-keyword=Littlewood-Richardson crystals en-keyword=Kashiwara-Nakashima tableaux kn-keyword=Kashiwara-Nakashima tableaux en-keyword=Branching rule kn-keyword=Branching rule END start-ver=1.4 cd-journal=joma no-vol=62 cd-vols= no-issue=1 article-no= start-page=27 end-page=86 dt-received= dt-revised= dt-accepted= dt-pub-year=2020 dt-pub=202001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Unstable higher Toda brackets en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=OshimaHideaki en-aut-sei=Oshima en-aut-mei=Hideaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=OshimaKatsumi en-aut-sei=Oshima en-aut-mei=Katsumi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Ibaraki University kn-affil= affil-num=2 en-affil= kn-affil= en-keyword=Toda bracket kn-keyword=Toda bracket en-keyword=Unstable higher Toda bracket kn-keyword=Unstable higher Toda bracket en-keyword=Higher composition kn-keyword=Higher composition en-keyword=Cofibration kn-keyword=Cofibration en-keyword=Coextension kn-keyword=Coextension en-keyword=Extension kn-keyword=Extension END start-ver=1.4 cd-journal=joma no-vol=62 cd-vols= no-issue=1 article-no= start-page=1 end-page=25 dt-received= dt-revised= dt-accepted= dt-pub-year=2020 dt-pub=202001 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A representation for algebraic K-theory of quasi-coherent modules over affine spectral schemes en-subtitle= kn-subtitle= en-abstract= kn-abstract= In this paper, we study K-theory of spectral schemes by using locally free sheaves. Let us regard the K-theory as a functor K on affine spectral schemes. Then, we prove that the group completion ΩBG(BGGL) represents the sheafification of K with respect to Zariski (resp. Nisnevich) topology G, where BGGL is a classifying space of a colimit of affine spectral schemes GLn. en-copyright= kn-copyright= en-aut-name=OharaMariko en-aut-sei=Ohara en-aut-mei=Mariko kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematical Sciences Shinshu University kn-affil= en-keyword=Infinity category kn-keyword=Infinity category en-keyword=Derived algebraic geometry kn-keyword=Derived algebraic geometry en-keyword= K-theory kn-keyword= K-theory END start-ver=1.4 cd-journal=joma no-vol=100 cd-vols= no-issue=3 article-no= start-page=957 end-page=986 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=20190625 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Signatures of surface bundles and scl of a Dehn twist en-subtitle= kn-subtitle= en-abstract= kn-abstract= The first aim of this paper is to give four types of examples of surface bundles over surfaces with non-zero signature. The first example is with base genus 2, a prescribed signature, a 0-section and the fiber genus greater than a certain number which depends on the signature. This provides a new upper bound on the minimal base genus for fixed signature and fiber genus. The second example gives a new asymptotic upper bound for this number in the case that fiber genus is odd. The third example has a small Euler characteristic. The last is a non-holomorphic example. The second aim is to improve upper bounds for stable commutator lengths of Dehn twists by giving factorizations of powers of Dehn twists as products of commutators. One of the factorizations is used to construct the second examples of surface bundles. As a corollary, we see that there is a gap between the stable commutator length of the Dehn twist along a non-separating curve in the mapping class group and that in the hyperelliptic mapping class group if the genus of the surface is greater than or equal to 8. en-copyright= kn-copyright= en-aut-name=MondenNaoyuki en-aut-sei=Monden en-aut-mei=Naoyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, Faculty of Science, Okayama University kn-affil= en-keyword=57R22 kn-keyword=57R22 en-keyword=57M07 (primary) kn-keyword=57M07 (primary) en-keyword=57R55 kn-keyword=57R55 en-keyword=20F12 kn-keyword=20F12 en-keyword=57N05 (secondary) kn-keyword=57N05 (secondary) END start-ver=1.4 cd-journal=joma no-vol=4 cd-vols= no-issue=2 article-no= start-page=024601 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=20190201 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Three-wave resonant interactions and zonal flows in two-dimensional Rossby-Haurwitz wave turbulence on a rotating sphere en-subtitle= kn-subtitle= en-abstract= kn-abstract= This paper addresses three-wave resonant interactions of Rossby-Haurwitz waves in two-dimensional turbulence on a rotating sphere. Zonal modes are often omitted from the "resonant wave set" even when they satisfy the conditions for three-wave resonant interactions, as they do not transfer any energy to other modes in a resonant manner. However, the presence of zonal flows induces phase shifts in other modes, and it is not at all clear that their influence is negligible. Since it is expected that three-wave resonant interactions govern the entire dynamics of turbulence if the rotation rate of the sphere is sufficiently high, by analogy with the theorem regarding three-wave resonant interactions of Rossby waves on a beta plane with sufficiently large beta previously proven by Yamada and Yoneda [Physica D 245, 1 (2013)], an appropriate definition of the resonant wave set was determined by comparing the time evolution of several wave sets on a rapidly rotating sphere. It was found that zonal waves of the form Y-l(m=0) exp(i omega t) with odd l, where Y(l)(m )are the spherical harmonics, should be considered for inclusion in the resonant wave set to ensure that the dynamics of the resonant wave set determine the overall dynamics of the turbulence on a rapidly rotating sphere. Consequently, it is suggested that the minimal resonant wave set that must be considered in the discussion of the three-wave interaction of Rossby-Haurwitz waves is the set consisting of nonzonal resonant waves and zonal waves of the form Y-l(0) exp(icot) with odd l. en-copyright= kn-copyright= en-aut-name=ObuseKiori en-aut-sei=Obuse en-aut-mei=Kiori kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=YamadaMichio en-aut-sei=Yamada en-aut-mei=Michio kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=1Graduate School of Environmental and Life Science, Okayama University kn-affil= affil-num=2 en-affil=Research Institute for Mathematical Sciences, Kyoto University kn-affil= END start-ver=1.4 cd-journal=joma no-vol=260 cd-vols= no-issue=5 article-no= start-page=4301 end-page=4338 dt-received= dt-revised= dt-accepted= dt-pub-year=2016 dt-pub=20160305 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Convex compact sets in RN-1 give traveling fronts of cooperation-diffusion systems in R-N en-subtitle= kn-subtitle= en-abstract= kn-abstract=This paper studies traveling fronts to cooperation diffusion systems in R-N for N >= 3. We consider (N - 2)-dimensional smooth surfaces as boundaries of strictly convex compact sets in RN-1, and define an equivalence relation between them. We prove that there exists a traveling front associated with a given surface and show its stability. The associated traveling fronts coincide up to phase transition if and only if the given surfaces satisfy the equivalence relation. en-copyright= kn-copyright= en-aut-name=TaniguchiMasaharu en-aut-sei=Taniguchi en-aut-mei=Masaharu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Faculty of Science, Okayama University en-keyword=Traveling front kn-keyword=Traveling front en-keyword=Cooperation diffusion system kn-keyword=Cooperation diffusion system en-keyword=Non-symmetric kn-keyword=Non-symmetric END start-ver=1.4 cd-journal=joma no-vol=9 cd-vols= no-issue= article-no= start-page=15 end-page=24 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=20190220 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Functional Analysis of Telajakan Plants and Space in Northern Denpasar, Bali, Indonesia en-subtitle= kn-subtitle= en-abstract= kn-abstract= Bali Island, Indonesia, is undergoing rapid land use changes owing to tourism-related development and urbanization. Consequently, urban green spaces, which provide a myriad of benefits to residents, are disappearing and deteriorating. Focusing on telajakan, a strip of traditional green space between the frontal wall of a housing compound and a ditch/pedestrian path in a roadside, the study aims: 1) to investigate and document the changes that are occurring with regards to telajakan in Denpasar, Bali and 2) to evaluate the functions of the plantings in telajakan. The research methods include literature review on traditional green spaces in Bali, vegetation survey at a lot scale, and homeowner interviews with the help of local experts. The study found that: 1) aesthetics, economics, and rituals are the top three functions provided by the telajakan plants with aesthetic function being by far the most provided function; 2) species diversity does not correspond with functional diversity; and 3) telajakan space itself is often minimized or sometimes lost completely for more inner, privatized space or for vehicle parking lot for shop owners. Since telajakan is an important component of traditional Balinese architecture, its loss, degradation, and marginalization necessarily lead to the loss of Balinese culture and identity. This study hints, however, a new form of social interaction through aesthetically-pleasing telajakan. Also, functional diversity, which is arguably as important as species diversity, can be maintained by carefully selecting indigenous species with multiple functions. en-copyright= kn-copyright= en-aut-name=KatoSadahisa en-aut-sei=Kato en-aut-mei=Sadahisa kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=HishiyamaKosuke en-aut-sei=Hishiyama en-aut-mei=Kosuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=Anak Agung Ketut Darmadi en-aut-sei=Anak Agung Ketut Darmadi en-aut-mei= kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=Ngakan Ketut Acwin Dwijendra en-aut-sei=Ngakan Ketut Acwin Dwijendra en-aut-mei= kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name= en-aut-sei= en-aut-mei= kn-aut-name=Dewa Ngurah Suprapta kn-aut-sei=Dewa Ngurah Suprapta kn-aut-mei= aut-affil-num=5 ORCID= affil-num=1 en-affil=Institute of Global Human Resource Development, Okayama University kn-affil= affil-num=2 en-affil=Faculty of Applied Sociology, Kindai University kn-affil= affil-num=3 en-affil=Faculty of Mathematics and Natural Sciences, University of Udayana kn-affil= affil-num=4 en-affil=Faculty of Engineering, University of Udayana kn-affil= affil-num=5 en-affil=Faculty of Agriculture, University of Udayana kn-affil= en-keyword=Telajakan kn-keyword=Telajakan en-keyword=Bali kn-keyword=Bali en-keyword=Urban Green Spaces kn-keyword=Urban Green Spaces END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=199 end-page=204 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Terwilliger Algebras of Some Group Association Schemes en-subtitle= kn-subtitle= en-abstract= kn-abstract= The Terwilliger algebra plays an important role in the theory of association schemes. The present paper gives the explicit structures of the Terwilliger algebras of the group association schemes of the finite groups PSL(2, 7), A6, and S6. en-copyright= kn-copyright= en-aut-name=HamidNur en-aut-sei=Hamid en-aut-mei=Nur kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=OuraManabu en-aut-sei=Oura en-aut-mei=Manabu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Faculty of Mathematics and Physics, Kanazawa University kn-affil= affil-num=2 en-affil=Faculty of Mathematics and Physics, Kanazawa University kn-affil= en-keyword=Terwilliger algebragroup association scheme kn-keyword=Terwilliger algebragroup association scheme END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=187 end-page=198 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Passage of property (Bw) from two operators to their tensor product en-subtitle= kn-subtitle= en-abstract= kn-abstract= A Banach space operator satisfies property (Bw) if the complement of its B-Weyl spectrum in its the spectrum is the set of finite multiplicity isolated eigenvalues of the operator. Property (Bw) does not transfer from operators T and S to their tensor product T ⊗ S. We give necessary and /or sufficient conditions ensuring the passage of property (Bw) from T and S to T ⊗ S. Perturbations by Riesz operators are considered. en-copyright= kn-copyright= en-aut-name=RashidM.H.M. en-aut-sei=Rashid en-aut-mei=M.H.M. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics& Statistics Faculty of Science P.O.Box(7) Mu’tah University kn-affil= en-keyword=property (Bw) kn-keyword=property (Bw) en-keyword=SVEP kn-keyword=SVEP en-keyword=tensor product kn-keyword=tensor product END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=173 end-page=186 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the classification of ruled minimal surfaces in pseudo-Euclidean space en-subtitle= kn-subtitle= en-abstract= kn-abstract= This paper gives, in generic situations, a complete classification of ruled minimal surfaces in pseudo-Euclidean space with arbitrary index. In addition, we discuss the condition for ruled minimal surfaces to exist, and give a counter-example on the problem of Bernstein type. en-copyright= kn-copyright= en-aut-name=SatoYuichiro en-aut-sei=Sato en-aut-mei=Yuichiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematical Sciences Tokyo Metropolitan University kn-affil= en-keyword=minimal surface kn-keyword=minimal surface en-keyword=ruled surface kn-keyword=ruled surface en-keyword=pseudo-Euclidean space kn-keyword=pseudo-Euclidean space END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=167 end-page=172 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The Factorization of 2 and 3 in Cyclic Quartic Fields en-subtitle= kn-subtitle= en-abstract= kn-abstract= Due to a theorem of Dedekind, factoring ideals generated by prime numbers in number fields is easily done given that said prime number does not divide the index of the field. In this paper, we determine the prime ideal factorizations of both 2 and 3 in cyclic quartic fields whose index is divisible by one of or both of these primes. en-copyright= kn-copyright= en-aut-name=BrownStephen C. en-aut-sei=Brown en-aut-mei=Stephen C. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=DavisChad T. en-aut-sei=Davis en-aut-mei=Chad T. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Computer Science, Mathematics, Physics and Statistics I.K. Barber School of Arts and Sciences University of British Columbia kn-affil= affil-num=2 en-affil=Department of Computer Science, Mathematics, Physics and Statistics I.K. Barber School of Arts and Sciences University of British Columbia kn-affil= en-keyword=Cyclic quartic field kn-keyword=Cyclic quartic field en-keyword=Prime ideal factorization kn-keyword=Prime ideal factorization END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=159 end-page=166 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The number of simple modules in a block with Klein four hyperfocal subgroup en-subtitle= kn-subtitle= en-abstract= kn-abstract= A 2-block of a finite group having a Klein four hyperfocal subgroup has the same number of irreducible Brauer characters as the corresponding 2-block of the normalizer of the hyperfocal subgroup. en-copyright= kn-copyright= en-aut-name=TasakaFuminori en-aut-sei=Tasaka en-aut-mei=Fuminori kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=National Institute of Technology Tsuruoka College kn-affil= en-keyword=group theory kn-keyword=group theory en-keyword=modular representation kn-keyword=modular representation en-keyword=hyperfocal subgroup kn-keyword=hyperfocal subgroup END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=141 end-page=158 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Cesaro Orlicz sequence spaces and their Kothe-Toeplitz duals en-subtitle= kn-subtitle= en-abstract= kn-abstract=The present paper focus on introducing certain classes of Cesàro Orlicz sequences over n-normed spaces. We study some topological and algebraic properties of these spaces. Further, we examine relevant relations among the classes of these sequences. We show that these spaces are made n-BK-spaces under certain conditions. Finally, we compute the Köthe-Toeplitz duals of these spaces. en-copyright= kn-copyright= en-aut-name=RajKuldip en-aut-sei=Raj en-aut-mei=Kuldip kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=AnandRenu en-aut-sei=Anand en-aut-mei=Renu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=PandohSuruchi en-aut-sei=Pandoh en-aut-mei=Suruchi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil=School of Mathematics Shri Mata Vaishno Devi University kn-affil= affil-num=2 en-affil=School of Mathematics Shri Mata Vaishno Devi University kn-affil= affil-num=3 en-affil=School of Mathematics Shri Mata Vaishno Devi University kn-affil= en-keyword=Orlicz function kn-keyword=Orlicz function en-keyword=Musielak-Orlicz function kn-keyword=Musielak-Orlicz function en-keyword=n-normed spaces kn-keyword=n-normed spaces en-keyword=difference sequence spaces kn-keyword=difference sequence spaces en-keyword=Köthe-Toeplitz dual kn-keyword=Köthe-Toeplitz dual END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=129 end-page=139 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A limit transition from the Heckman-Opdam hypergeometric functions to the Whittaker functions associated with root systems en-subtitle= kn-subtitle= en-abstract= kn-abstract= We prove that the radial part of the class one Whittaker function on a split semisimple Lie group can be obtained as an appropriate limit of the Heckman-Opdam hypergeometric function. en-copyright= kn-copyright= en-aut-name=ShimenoNobukazu en-aut-sei=Shimeno en-aut-mei=Nobukazu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=School of Science and Technology Kwansei Gakuin University kn-affil= en-keyword=root system kn-keyword=root system en-keyword=hypergeometric function kn-keyword=hypergeometric function en-keyword=Whittaker function kn-keyword=Whittaker function END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=99 end-page=128 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Complex interpolation of smoothness Triebel-Lizorkin-Morrey spaces en-subtitle= kn-subtitle= en-abstract= kn-abstract= This paper extends the result in [8] to Triebel-Lizorkin-Morrey spaces which contains 4 parameters p, q, r, s. This paper reinforces our earlier paper [8] by Nakamura, the first and the third authors in two different directions. First, we include the smoothness parameter s and the second smoothness parameter r. In [8] we assumed s = 0 and r = 2. Here we relax the conditions on s and r to s ∈ R and 1 < r ≤ ∞. Second, we apply a formula obtained by Bergh in 1978 to prove our main theorem without using the underlying sequence spaces. en-copyright= kn-copyright= en-aut-name=HakimDenny Ivanal en-aut-sei=Hakim en-aut-mei=Denny Ivanal kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=NogayamaToru en-aut-sei=Nogayama en-aut-mei=Toru kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=SawanoYoshihiro en-aut-sei=Sawano en-aut-mei=Yoshihiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil=Department of Mathematics and Information Sciences, Tokyo Metropolitan University kn-affil= affil-num=2 en-affil=Department of Mathematics and Information Sciences, Tokyo Metropolitan University kn-affil= affil-num=3 en-affil=Department of Mathematics and Information Sciences, Tokyo Metropolitan University kn-affil= en-keyword=smoothness Morrey spaces kn-keyword=smoothness Morrey spaces en-keyword=Triebel-Lizorkin-Morrey spaces kn-keyword=Triebel-Lizorkin-Morrey spaces en-keyword=complex interpolation kn-keyword=complex interpolation en-keyword=square function kn-keyword=square function END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=85 end-page=98 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the structure of the profile of finite connected quandles en-subtitle= kn-subtitle= en-abstract= kn-abstract= We verify some cases of a conjecture by C. Hayashi on the structure of the profile of a finite connected quandle. en-copyright= kn-copyright= en-aut-name=WatanabeTaisuke en-aut-sei=Watanabe en-aut-mei=Taisuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= en-keyword=connected quandle kn-keyword=connected quandle en-keyword=finite quandle kn-keyword=finite quandle END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=75 end-page=84 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the Diophantine equation in the form that a sum of cubes equals a sum of quintics en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=IzadiFarzali en-aut-sei=Izadi en-aut-mei=Farzali kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=BaghalaghdamMehdi en-aut-sei=Baghalaghdam en-aut-mei=Mehdi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Mehdi Baghalaghdam Department of Mathematics Faculty of Science Azarbaijan Shahid Madani University kn-affil= affil-num=2 en-affil=Mehdi Baghalaghdam Department of Mathematics Faculty of Science Azarbaijan Shahid Madani University kn-affil= en-keyword=Diophantine equations kn-keyword=Diophantine equations en-keyword=Cubes kn-keyword=Cubes en-keyword=Quintics kn-keyword=Quintics en-keyword=Elliptic curves kn-keyword=Elliptic curves en-keyword=Rank kn-keyword=Rank END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=37 end-page=73 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Reconstruction of inertia groups associated to log divisors from a configuration space group equipped with its collection of log-full subgroups en-subtitle= kn-subtitle= en-abstract= kn-abstract= In the present paper, we study configuration space groups. The goal of this paper is to reconstruct group-theoretically the inertia groups associated to various types of log divisors of a log configuration space of a smooth log curve from the associated configuration space group equipped with its collection of log-full subgroups. en-copyright= kn-copyright= en-aut-name=HigashiyamaKazumi en-aut-sei=Higashiyama en-aut-mei=Kazumi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Research Institute for Mathematical Sciences Kyoto University kn-affil= en-keyword=anabelian geometry kn-keyword=anabelian geometry en-keyword=configuration space kn-keyword=configuration space en-keyword= log divisor kn-keyword= log divisor en-keyword= log-full subgroup kn-keyword= log-full subgroup END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=19 end-page=35 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Berezin-Weyl quantization of Heisenberg motion groups en-subtitle= kn-subtitle= en-abstract= kn-abstract= We introduce a Schr¨odinger model for the generic representations of a Heisenberg motion group and we construct adapted Weyl correspondences for these representations by adapting the method introduced in [ B. Cahen, Weyl quantization for semidirect products, Differential Geom. Appl. 25 (2007), 177-190]. en-copyright= kn-copyright= en-aut-name=CahenBenjamin en-aut-sei=Cahen en-aut-mei=Benjamin kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=D´epartement de math´ematiques Universit´e de Lorraine kn-affil= en-keyword=Weyl correspondence kn-keyword=Weyl correspondence en-keyword=Berezin quantization kn-keyword=Berezin quantization en-keyword=Heisenberg motion group kn-keyword=Heisenberg motion group en-keyword=Schr¨odinger representation kn-keyword=Schr¨odinger representation en-keyword=Bargmann-Fock representation kn-keyword=Bargmann-Fock representation en-keyword=Segal-Bargmann transform kn-keyword=Segal-Bargmann transform en-keyword=unitary representation kn-keyword=unitary representation en-keyword=coadjoint orbit kn-keyword=coadjoint orbit END start-ver=1.4 cd-journal=joma no-vol=61 cd-vols= no-issue=1 article-no= start-page=1 end-page=18 dt-received= dt-revised= dt-accepted= dt-pub-year=2019 dt-pub=201901 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the existence of non-finite coverings of stable curves over complete discrete valuation rings en-subtitle= kn-subtitle= en-abstract= kn-abstract=Let R be a complete discrete valuation ring with algebraically residue field of characteristic p > 0 and X a stable curve over R. In the present paper, we study the geometry of coverings of X. Under certain assumptions, we prove that, by replacing R by a finite extension of R, there exists a morphism of stable curves f : Y → X over R such that the morphism fη : Yη → Xη induced by f on generic fibers is finite étale and the morphism fs : Ys → Xs induced by f on special fibers is non-finite. en-copyright= kn-copyright= en-aut-name=YangYu en-aut-sei=Yang en-aut-mei=Yu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Research Institute for Mathematical Sciences Kyoto University kn-affil= en-keyword=stable curve kn-keyword=stable curve en-keyword=stable covering kn-keyword=stable covering en-keyword=vertical point kn-keyword=vertical point en-keyword=admissible covering kn-keyword=admissible covering END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=233 end-page=240 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the profinite abelian Beckmann-Black problem en-subtitle= kn-subtitle= en-abstract= kn-abstract=The main topic of this paper is to generalize the problem of Beckmann-Black for pro�nite groups. We introduce the Beckmann-Black problem for complete systems of �finite groups and for unramified extensions. We prove that every Galois extension of profi�nite abelian group over a ψ-free fi�eld is the specialization of some tower of regular Galois extensions of the same group. en-copyright= kn-copyright= en-aut-name=GhaziNour en-aut-sei=Ghazi en-aut-mei=Nour kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=University of Damascus, Faculty of Sciences, Department of Mathematics kn-affil= en-keyword=Inverse Galois theory kn-keyword=Inverse Galois theory en-keyword=algebraic covers kn-keyword=algebraic covers END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=221 end-page=231 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A binomial-coefficient identity arising from the middle discrete series of SU(2,2) en-subtitle= kn-subtitle= en-abstract= kn-abstract=The aim of this paper is to answer the question in Remark 8.2 of Takahiro Hayata, Harutaka Koseki, and Takayuki Oda, Matrix coefficients of the middle discrete series of SU(2; 2), J. Funct. Anal. 185 (2001), 297{341, by giving an elementary proof of certain identities on binomials. en-copyright= kn-copyright= en-aut-name=HayataTakahiro en-aut-sei=Hayata en-aut-mei=Takahiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=IshikawaMasao en-aut-sei=Ishikawa en-aut-mei=Masao kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Graduate School of Science and Engineering, Yamagata University kn-affil= affil-num=2 en-affil=Graduate School of Natural Science and Technology, Okayama University kn-affil= en-keyword=binomial-coefficient identity kn-keyword=binomial-coefficient identity en-keyword=middle discrete series kn-keyword=middle discrete series en-keyword= real semi-simple Lie groups. kn-keyword= real semi-simple Lie groups. END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=209 end-page=219 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Necessary and sufficient Tauberian conditions for the A^r method of summability en-subtitle= kn-subtitle= en-abstract= kn-abstract=Móricz and Rhoades determined the necessary and sufficient Tauberian conditions for certain weighted mean methods of summability in [Acta. Math. Hungar. 102(4) (2004), 279{285]. In the present paper, we deal with the necessary and sufficient Tauberian conditions for the Ar method which was introduced by Bas̨ar in [Fırat Üniv. Fen & Müh. Bil. Dergisi 5(1)(1993), 113{117]. en-copyright= kn-copyright= en-aut-name=TaloÖzer en-aut-sei=Talo en-aut-mei=Özer kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=Bas̨arFeyzi en-aut-sei=Bas̨ar en-aut-mei=Feyzi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Mathematics Faculty of Science and Letters Manisa Celal Bayar University kn-affil= affil-num=2 en-affil=İnönü University kn-affil= en-keyword=Summability by Ar methods kn-keyword=Summability by Ar methods en-keyword=one-sided and two-sided Tauberian conditions kn-keyword=one-sided and two-sided Tauberian conditions en-keyword=slowly oscillating sequences kn-keyword=slowly oscillating sequences END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=175 end-page=208 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Indecomposability of various profinite groups arising from hyperbolic curves en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we prove that the etale fundamental group of a hyperbolic curve over an arithmetic field [e.g., a finite extension field of Q or Qp] or an algebraically closed field is indecomposable [i.e., cannot be decomposed into the direct product of nontrivial profinite groups]. Moreover, in the case of characteristic zero, we also prove that the etale fundamental group of the configuration space of a curve of the above type is indecomposable. Finally, we consider the topic of indecomposability in the context of the comparison of the absolute Galois group of Q with the Grothendieck-Teichmuller group GT and pose the question: Is GT indecomposable? We give an affirmative answer to a pro-l version of this question en-copyright= kn-copyright= en-aut-name=MinamideArata en-aut-sei=Minamide en-aut-mei=Arata kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Research Institute for Mathematical Sciences Kyoto University kn-affil= en-keyword=indecomposability kn-keyword=indecomposability en-keyword=etale fundamental group kn-keyword=etale fundamental group en-keyword=hyperbolic curve kn-keyword=hyperbolic curve en-keyword=con�guration space kn-keyword=con�guration space en-keyword=Grothendieck-Teichmuller group kn-keyword=Grothendieck-Teichmuller group END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=165 end-page=173 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=An alternative proof of some results on the framed bordism classes of low rank simple Lie groups en-subtitle= kn-subtitle= en-abstract= kn-abstract=We present a uni�ed proof of some known results on the framed bordism classes of low rank simple Lie groups. en-copyright= kn-copyright= en-aut-name=MinamiHaruo en-aut-sei=Minami en-aut-mei=Haruo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Nara University of Education kn-affil= en-keyword=framed manifolds kn-keyword=framed manifolds en-keyword=simple Lie groups kn-keyword=simple Lie groups en-keyword=stable homotopy groups kn-keyword=stable homotopy groups END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=155 end-page=164 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Arithmetic of positive integers having prime sums of complementary divisors en-subtitle= kn-subtitle= en-abstract= kn-abstract=We study a class of integers called SP numbers (Sum Prime numbers). An SP number is by de�nition a positive integer d that gives rise to a prime number (a + b)=gcd(4; 1 + d) from every factorization d = ab. We also discuss properties of SP numbers in relations with arithmetic of imaginary quadratic �elds (least split primes, exponents of ideal class groups). Further we point out that special cases of SP numbers provide the problems of distribution of prime numbers (twin primes, Sophi-Germain primes, quadratic progressions). Finally, we consider the problem whether there exist in�nitely many SP numbers. en-copyright= kn-copyright= en-aut-name=ShimizuKenichi en-aut-sei=Shimizu en-aut-mei=Kenichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil= en-keyword=SP number kn-keyword=SP number en-keyword=prime number kn-keyword=prime number en-keyword= imaginary quadratic fi�eld kn-keyword= imaginary quadratic fi�eld END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=137 end-page=153 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A non-symmetric diffusion process on the Wiener space en-subtitle= kn-subtitle= en-abstract= kn-abstract=We discuss a non-symmetric diffusion process on the Wiener space. The process we consider is generated by A = L + b, L being the Ornstein-Uhlenbeck operator and b being a vector �eld. Under suitable integrability condition for b, we show the existence of associated diffusion process. We also investigate the domain of the generator. Further we consider a similar problem in the �nite dimensional Euclidean space. en-copyright= kn-copyright= en-aut-name=ShigekawaIchiro en-aut-sei=Shigekawa en-aut-mei=Ichiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics Graduate School of Science Kyoto University kn-affil= en-keyword=non-symmetric Dirichlet form kn-keyword=non-symmetric Dirichlet form en-keyword=Wiener space kn-keyword=Wiener space en-keyword=logarithmic Sobolev inequality kn-keyword=logarithmic Sobolev inequality en-keyword=generator domain kn-keyword=generator domain END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=109 end-page=135 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A remark on a central limit theorem for non-symmetric random walks on crystal lattices en-subtitle= kn-subtitle= en-abstract= kn-abstract=Recently, Ishiwata, Kawabi and Kotani [4] proved two kinds of central limit theorems for non-symmetric random walks on crystal lattices from the view point of discrete geometric analysis developed by Kotani and Sunada. In the present paper, we establish yet another kind of the central limit theorem for them. Our argument is based on a measure-change technique due to Alexopoulos [1]. en-copyright= kn-copyright= en-aut-name=NambaRyuya en-aut-sei=Namba en-aut-mei=Ryuya kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Graduate School of Natural Sciences, Okayama University kn-affil= en-keyword=crystal lattice kn-keyword=crystal lattice en-keyword=central limit theorem kn-keyword=central limit theorem en-keyword=non-symmetric random walk kn-keyword=non-symmetric random walk en-keyword=(modi�ed) harmonic realization kn-keyword=(modi�ed) harmonic realization END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=91 end-page=108 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Primary decompositions in abelian R-categories en-subtitle= kn-subtitle= en-abstract= kn-abstract=We shall generalize the theory of primary decomposition and associated prime ideals of �nitely generated modules over a noetherian ring to general objects in an abelian R-category where R is a noetherian commutative ring. en-copyright= kn-copyright= en-aut-name=SatoKenichi en-aut-sei=Sato en-aut-mei=Kenichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=YoshinoYuji en-aut-sei=Yoshino en-aut-mei=Yuji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Graduate School of Natural Science and Technology Okayama University kn-affil= affil-num=2 en-affil=Graduate School of Natural Science and Technology Okayama University kn-affil= END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=73 end-page=89 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Stable splittings of the complex connective K-theory of BSO(2n+1) en-subtitle= kn-subtitle= en-abstract= kn-abstract=We give the stable splittings of the complex connective K-theory of the classifying space BSO(2n + 1), n≥1. en-copyright= kn-copyright= en-aut-name=WuTsung-Hsuan en-aut-sei=Wu en-aut-mei=Tsung-Hsuan kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics National Tsing Hua University kn-affil= en-keyword=stable splitting kn-keyword=stable splitting en-keyword=complex connective K-theory kn-keyword=complex connective K-theory en-keyword=classifying space kn-keyword=classifying space en-keyword=Adams spectral sequence kn-keyword=Adams spectral sequence END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=59 end-page=72 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Absolute continuity of the representing measures of the transmutation operators attached to the root system of type BC2 en-subtitle= kn-subtitle= en-abstract= kn-abstract=We prove in this paper the absolute continuity of the representing measures of the transmutation operators Vk, tVk and VkW, tVkW associated respectively to the Cherednik operators and the Heckman-Opdam theory attached to the root system of type BC2. en-copyright= kn-copyright= en-aut-name=TrimẻcheKhalifa en-aut-sei=Trimẻche en-aut-mei=Khalifa kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics Faculty of sciences of Tunis University kn-affil= en-keyword=Transmutation operators kn-keyword=Transmutation operators en-keyword=Absolute continuity of the representing measures kn-keyword=Absolute continuity of the representing measures en-keyword=Cherednik operators kn-keyword=Cherednik operators en-keyword=Heckman-Opdam theory kn-keyword=Heckman-Opdam theory END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=37 end-page=58 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Tomita-Takesaki theory and its application to the structure theory of factors of type III en-subtitle= kn-subtitle= en-abstract= kn-abstract=We give a survey of Tomita-Takesaki theory and the development of analysis of structure of type III factors, which started from Tomita-Takesaki theory. en-copyright= kn-copyright= en-aut-name=MasudaToshihiko en-aut-sei=Masuda en-aut-mei=Toshihiko kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Graduate School of Mathematics, Kyushu University kn-affil= en-keyword=Tomita-Takesaki theory kn-keyword=Tomita-Takesaki theory en-keyword= type III factors kn-keyword= type III factors en-keyword= injective factors kn-keyword= injective factors END start-ver=1.4 cd-journal=joma no-vol=60 cd-vols= no-issue=1 article-no= start-page=1 end-page=36 dt-received= dt-revised= dt-accepted= dt-pub-year=2018 dt-pub=201801 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Review on higher homotopies in the theory of H-spaces en-subtitle= kn-subtitle= en-abstract= kn-abstract=Higher homotopy in the theory of H-spaces started from the works by Sugawara in the 1950th. In this paper we review the development of the theory of H-spaces associated with it. Mainly there are two types of higher homotopies, homotopy associativity and homotopy commutativity. We give explanations of the polytopes used as the parameter spaces of those higher forms. en-copyright= kn-copyright= en-aut-name=HemmiYutaka en-aut-sei=Hemmi en-aut-mei=Yutaka kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics Faculty of Science and Technology Kochi University kn-affil= en-keyword=H-space kn-keyword=H-space en-keyword=higher homotopy associativity kn-keyword=higher homotopy associativity en-keyword=An-form kn-keyword=An-form en-keyword=higher homotopy commutativity kn-keyword=higher homotopy commutativity en-keyword=associahedra kn-keyword=associahedra en-keyword=multiplihedra kn-keyword=multiplihedra en-keyword=permutohedra kn-keyword=permutohedra en-keyword=resultohedra kn-keyword=resultohedra en-keyword=permuto-associahedra kn-keyword=permuto-associahedra en-keyword=cyclohedra kn-keyword=cyclohedra END start-ver=1.4 cd-journal=joma no-vol=1707 cd-vols= no-issue= article-no= start-page=050013 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2016 dt-pub=2016 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Mathematical Formulation and Numerical Simulation of Bird Flu Infection Process within a Poultry Farm en-subtitle= kn-subtitle= en-abstract= kn-abstract= Bird flu infection processes within a poultry farm are formulated mathematically. A spatial effect is taken into account for the virus concentration with a diffusive term. An infection process is represented in terms of a traveling wave solutions. For a small removal rate, a singular perturbation analysis lead to existence of traveling wave solutions, that correspond to progressive infection in one direction. en-copyright= kn-copyright= en-aut-name=PutriArrival Rince en-aut-sei=Putri en-aut-mei=Arrival Rince kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=NovaTertia Delia en-aut-sei=Nova en-aut-mei=Tertia Delia kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=WatanabeMasaji en-aut-sei=Watanabe en-aut-mei=Masaji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil=Graduate School Environmental and Life Science, Okayama University kn-affil= affil-num=2 en-affil=Andalas University kn-affil= affil-num=3 en-affil=Graduate School Environmental and Life Science, Okayama University kn-affil= en-keyword=bird flu kn-keyword=bird flu en-keyword=spatial effect kn-keyword=spatial effect en-keyword=traveling wave solutions kn-keyword=traveling wave solutions en-keyword=singular perturbation kn-keyword=singular perturbation END start-ver=1.4 cd-journal=joma no-vol=1707 cd-vols= no-issue= article-no= start-page=050017 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2016 dt-pub=2016 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Numerical study on anaerobic digestion of fruit and vegetable waste: Biogas generation en-subtitle= kn-subtitle= en-abstract= kn-abstract= The study provides experimental results and numerical results concerning anaerobic digestion of fruit and vegetable waste. Experiments were carried out by using batch floating drum type digester without mixing and temperature setting. The retention time was 30 days. Numerical results based on Monod type model with influence of temperature is introduced. Initial value problems were analyzed numerically, while kinetic parameters were analyzed by using trial error methods. The numerical results for the first five days seems appropriate in comparison with the experimental outcomes. However, numerical results shows that the model is inappropriate for 30 days of fermentation. This leads to the conclusion that Monod type model is not suitable for describe the mixture degradation of fruit and vegetable waste and horse dung. en-copyright= kn-copyright= en-aut-name=WardhaniPuteri Kusuma en-aut-sei=Wardhani en-aut-mei=Puteri Kusuma kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=WatanabeMasaji en-aut-sei=Watanabe en-aut-mei=Masaji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Graduate School of Environmental and Life Science, Okayama University kn-affil= affil-num=2 en-affil=Graduate School of Environmental and Life Science, Okayama University kn-affil= en-keyword=Anaerobic digestion kn-keyword=Anaerobic digestion en-keyword=monod model kn-keyword=monod model en-keyword=numerical simulation kn-keyword=numerical simulation END start-ver=1.4 cd-journal=joma no-vol= cd-vols= no-issue= article-no= start-page= end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=20170929 dt-online= en-article= kn-article= en-subject= kn-subject= en-title=嫌気的消化プロセスと廃棄果物と廃棄野菜からのバイオガス生成に関する数理的および実験的研究 kn-title=Mathematical and Experimental Study of Anaerobic Digestion Process and Biogas Generation from Fruit and Vegetable Waste en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=PUTERI KUSUMA WARDHANI en-aut-sei=PUTERI KUSUMA WARDHANI en-aut-mei= kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Graduate School of Environmental and Life Science, Okayama University kn-affil=岡山大学大学院環境生命科学研究科 END start-ver=1.4 cd-journal=joma no-vol=484 cd-vols= no-issue= article-no= start-page=207 end-page=223 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=20170815 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=F-rationality of the ring of modular invariants en-subtitle= kn-subtitle= en-abstract= kn-abstract= Using the description of the Frobenius limit of modules over the ring of invariants under an action of a finite group on a polynomial ring over a field of characteristic p>0 developed by Symonds and the author, we give a characterization of the ring of invariants with a positive dual F-signature. Combining this result and Kemper's result on depths of the ring of invariants under an action of a permutation group, we give an example of an F-rational, but non-F-regular ring of invariants under the action of a finite group. en-copyright= kn-copyright= en-aut-name=HashimotoMitsuyasu en-aut-sei=Hashimoto en-aut-mei=Mitsuyasu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, Okayama University kn-affil= en-keyword=F-rational kn-keyword=F-rational en-keyword=F-regular kn-keyword=F-regular en-keyword=Dual F-signature kn-keyword=Dual F-signature en-keyword=Frobenius limit kn-keyword=Frobenius limit END start-ver=1.4 cd-journal=joma no-vol=226 cd-vols= no-issue= article-no= start-page=165 end-page=203 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201706 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Canonical and n-canonical modules of a Noetherian algebra en-subtitle= kn-subtitle= en-abstract= kn-abstract= We define canonical and -canonical modules of a module-finite algebra over a Noether commutative ring and study their basic properties. Using -canonical modules, we generalize a theorem on -syzygy by Araya and Iima which generalize a well-known theorem on syzygies by Evans and Griffith. Among others, we prove a noncommutative version of Aoyama’s theorem which states that a canonical module descends with respect to a flat local homomorphism. en-copyright= kn-copyright= en-aut-name=HashimotoMitsuyasu en-aut-sei=Hashimoto en-aut-mei=Mitsuyasu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, Okayama University kn-affil= END start-ver=1.4 cd-journal=joma no-vol=305 cd-vols= no-issue= article-no= start-page=144 end-page=164 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=20170110 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The asymptotic behavior of Frobenius direct images of rings of invariants en-subtitle= kn-subtitle= en-abstract= kn-abstract= We define the Frobenius limit of a module over a ring of prime characteristic to be the limit of the normalized Frobenius direct images in a certain Grothendieck group. When a finite group acts on a polynomial ring, we calculate this limit for all the modules over the twisted group algebra that are free over the polynomial ring; we also calculate the Frobenius limit for the restriction of these to the ring of invariants. As an application, we generalize the description of the generalized F-signature of a ring of invariants by the second author and Nakajima to the modular case. en-copyright= kn-copyright= en-aut-name=HashimotoMitsuyasu en-aut-sei=Hashimoto en-aut-mei=Mitsuyasu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=SymondsbPeter en-aut-sei=Symondsb en-aut-mei=Peter kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Mathematics, Okayama University kn-affil= affil-num=2 en-affil=University of Manchester kn-affil= en-keyword=Frobenius direct image kn-keyword=Frobenius direct image en-keyword=Hilbert–Kunz multiplicity kn-keyword=Hilbert–Kunz multiplicity en-keyword=F-signature kn-keyword=F-signature en-keyword=Frobenius limit kn-keyword=Frobenius limit END start-ver=1.4 cd-journal=joma no-vol=45 cd-vols= no-issue=4 article-no= start-page=1509 end-page=1532 dt-received= dt-revised= dt-accepted= dt-pub-year=2016 dt-pub=20161007 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Equivariant class group. II. Enriched descent theorem en-subtitle= kn-subtitle= en-abstract= kn-abstract= We prove a version of Grothendieck’s descent theorem on an ‘enriched’ principal fiber bundle, a principal fiber bundle with an action of a larger group scheme. Using this, we prove the isomorphisms of the equivariant Picard and the class groups arising from such a principal fiber bundle. en-copyright= kn-copyright= en-aut-name=HashimotoMitsuyasu en-aut-sei=Hashimoto en-aut-mei=Mitsuyasu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, Okayama University kn-affil= en-keyword=Class group kn-keyword=Class group en-keyword=descent theory kn-keyword=descent theory en-keyword=Picard group kn-keyword=Picard group en-keyword=principal fiber bundle kn-keyword=principal fiber bundle END start-ver=1.4 cd-journal=joma no-vol=115 cd-vols= no-issue=2-3 article-no= start-page=103 end-page=114 dt-received= dt-revised= dt-accepted= dt-pub-year=2014 dt-pub=201408 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Load dependency in force-length relations in isolated single cardiomyocytes en-subtitle= kn-subtitle= en-abstract= kn-abstract=The previously reported pressure-volume (PV) relationship in frog hearts shows that end-systolic PV relation (ESPVR) is load dependent, whereas ESPVR in canine hearts is load independent. To study intrinsic cardiac mechanics in detail, it is desirable to study mechanics in a single isolated cardiomyocyte that is free from interstitial connective tissue. Previous single cell mechanics studies used a pair of carbon fibers (CF) attached to the upper surface of opposite cell ends to stretch cells. These studies showed that end-systolic force-length (FL) relation (ESFLR) is load independent. However, the range of applicable mechanical load using the conventional technique is limited because of weak cell-CF attachment. Therefore, the behavior of ESFLR in single cells under physiologically possible conditions of greater load is not yet well known. To cover wider loading range, we contrived a new method to hold cell-ends more firmly using two pairs of CF attached to both upper and bottom surfaces of cells. The new method allowed stretching cells to 2.2 μm or more in end-diastolic sarcomere length. ESFLR virtually behaves in a load independent manner only with end-diastolic sarcomere length less than 1.95 μm. It exhibited clear load dependency with higher preload, especially with low afterload conditions. Instantaneous cellular elastance curves showed that decreasing afterload enhanced relaxation and slowed time to peak elastance, as previously reported. A simulation study of a mathematical model with detailed description of thin filament activation suggested that velocity dependent thin filament inactivation is crucial for the observed load dependent behaviors and previously reported afterload dependent change in Ca(2+) transient shape. en-copyright= kn-copyright= en-aut-name=IribeGentaro en-aut-sei=Iribe en-aut-mei=Gentaro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KanekoToshiyuki en-aut-sei=Kaneko en-aut-mei=Toshiyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=YamaguchiYohei en-aut-sei=Yamaguchi en-aut-mei=Yohei kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=NaruseKeiji en-aut-sei=Naruse en-aut-mei=Keiji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= affil-num=1 en-affil=Department of Cardiovascular Physiology, Okayama University Graduate School of Medicine, Dentistry and Pharmaceutical Sciences kn-affil= affil-num=2 en-affil=Department of Cardiovascular Physiology, Okayama University Graduate School of Medicine, Dentistry and Pharmaceutical Sciences kn-affil= affil-num=3 en-affil=Department of Cardiovascular Physiology, Okayama University Graduate School of Medicine, Dentistry and Pharmaceutical Sciences kn-affil= affil-num=4 en-affil=Department of Cardiovascular Physiology, Okayama University Graduate School of Medicine, Dentistry and Pharmaceutical Sciences kn-affil= en-keyword=Cell mechanics kn-keyword=Cell mechanics en-keyword=Mechano-electric coupling kn-keyword=Mechano-electric coupling en-keyword=Modeling kn-keyword=Modeling en-keyword=Shortening deactivation kn-keyword=Shortening deactivation END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=175 end-page=218 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Blowup and global existence of a solution to a semilinear reaction-diffusion system with the fractional Laplacian en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we deal with the semilinear reaction diffusion system with the fractional Laplacian.

where p,q > 1 and 0 < α < 1. We study the existence of a global in time solution, the blowup of a solution, and the life span of the blowup solution to the above reaction-diffusion system for sufficiently small initial data. en-copyright= kn-copyright= en-aut-name=KakehiTomoyuki en-aut-sei=Kakehi en-aut-mei=Tomoyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=OshitaYoshihito en-aut-sei=Oshita en-aut-mei=Yoshihito kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Mathematics, Okayama University kn-affil= affil-num=2 en-affil=Department of Mathematics, Okayama University kn-affil= en-keyword=Reaction diffusion system kn-keyword=Reaction diffusion system en-keyword=fractional Laplacian kn-keyword=fractional Laplacian en-keyword=global existence kn-keyword=global existence en-keyword=blowup kn-keyword=blowup en-keyword=life span kn-keyword=life span END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=149 end-page=174 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Scattering and semi-classical asymptotics for periodic Schrödinger operators with oscillating decaying potential en-subtitle= kn-subtitle= en-abstract= kn-abstract=In the semi-classical regime (i.e., h ↘ 0), we study the effect of an oscillating decaying potential V (hy, y) on the periodic Schrödinger operator H. The potential V (x, y) is assumed to be smooth, periodic with respect to y and tends to zero as |x| → ∞. We prove the existence of O(h−n) eigenvalues in each gap of the operator H + V (hy, y). We also establish a Weyl type asymptotics formula of the counting function of eigenvalues with optimal remainder estimate. We give a weak and pointwise asymptotic expansions in powers of h of the spectral shift function corresponding to the pair (H + V (hy, y),H). Finally, under some analytic assumption on the potential V we prove the existence of shape resonances, and we give their asymptotic expansions in powers of h1/2. All our results depend on the Floquet eigenvalues corresponding to the periodic Schrödinger operator H +V (x, y), (here x is a parameter). en-copyright= kn-copyright= en-aut-name=DimassiMouez en-aut-sei=Dimassi en-aut-mei=Mouez kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=Anh Tuan Duong en-aut-sei=Anh Tuan Duong en-aut-mei= kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Universit´e Bordeaux I, Institut de Math´ematiques de Bordeaux kn-affil= affil-num=2 en-affil=Department of Mathematics, Hanoi National University of Education kn-affil= en-keyword=Periodic Schrödinger operator kn-keyword=Periodic Schrödinger operator en-keyword=oscillating potential kn-keyword=oscillating potential en-keyword=spectral shift function kn-keyword=spectral shift function en-keyword=asymptotic expansions kn-keyword=asymptotic expansions en-keyword=resonances kn-keyword=resonances END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=141 end-page=147 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On the (1 − C2) condition en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we give some results on (1 − C2)−modules and 1−continuous modules. en-copyright= kn-copyright= en-aut-name=Le Van An en-aut-sei=Le Van An en-aut-mei= kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=Nguyen Thi Hai Anh en-aut-sei=Nguyen Thi Hai Anh en-aut-mei= kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=Ngo Sy Tung en-aut-sei=Ngo Sy Tung en-aut-mei= kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil=Department of Natural Education, Ha Tinh University kn-affil= affil-num=2 en-affil=Department of Natural Education, Ha Tinh University kn-affil= affil-num=3 en-affil=Department of Mathematics, Vinh University kn-affil= en-keyword=injective module kn-keyword=injective module en-keyword=continuous module kn-keyword=continuous module en-keyword=uniform module kn-keyword=uniform module en-keyword=UC module kn-keyword=UC module en-keyword=distributive module kn-keyword=distributive module END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=131 end-page=140 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Higher-dimensional absolute versions of symmetric, Frobenius, and quasi-Frobenius algebras en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we define and discuss higher-dimensional and absolute versions of symmetric, Frobenius, and quasi-Frobenius algebras. In particular, we compare these with the relative notions defined by Scheja and Storch. We also prove the validity of codimension two-argument for modules over a coherent sheaf of algebras with a 2-canonical module, generalizing a result of the author. en-copyright= kn-copyright= en-aut-name=HashimotoMitsuyasu en-aut-sei=Hashimoto en-aut-mei=Mitsuyasu kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics Faculty of Science, Okayama University kn-affil= en-keyword=canonical module kn-keyword=canonical module en-keyword=symmetric algebra kn-keyword=symmetric algebra en-keyword=Frobenius algebra kn-keyword=Frobenius algebra en-keyword=quasi-Frobenius algebra kn-keyword=quasi-Frobenius algebra en-keyword=n-canonical module kn-keyword=n-canonical module END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=117 end-page=130 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A note on balance equations for doubly periodic minimal surfaces en-subtitle= kn-subtitle= en-abstract= kn-abstract=Most known examples of doubly periodic minimal surfaces in R3 with parallel ends limit as a foliation of R3 by horizontal noded planes, with the location of the nodes satisfying a set of balance equations. Conversely, for each set of points providing a balanced configuration, there is a corresponding three-parameter family of doubly periodic minimal surfaces. In this note we derive a differential equation that is equivalent to the balance equations for doubly periodic minimal surfaces. This allows for the generation of many more solutions to the balance equations, enabling the construction of increasingly complicated surfaces. en-copyright= kn-copyright= en-aut-name=ConnorPeter en-aut-sei=Connor en-aut-mei=Peter kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematical Sciences, Indiana University South Bend kn-affil= en-keyword=minimal surfaces kn-keyword=minimal surfaces en-keyword=doubly periodic kn-keyword=doubly periodic en-keyword=balance equations kn-keyword=balance equations END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=113 end-page=116 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=A remark on the Lavallee-Spearman-Williams-Yang family of quadratic fields en-subtitle= kn-subtitle= en-abstract= kn-abstract=In [4], M. J. Lavallee, B. K. Spearman, K. S. Williams and Q. Yang introduced a certain parametric D5-quintic polynomial and studied its splitting field. The present paper gives an infinite family of quadratic fields with class number divisible by 5 by using properties of its polynomial. en-copyright= kn-copyright= en-aut-name=KimKwang-Seob en-aut-sei=Kim en-aut-mei=Kwang-Seob kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KishiYasuhiro en-aut-sei=Kishi en-aut-mei=Yasuhiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=School of Mathematics, Korea Institute for Advanced Study kn-affil= affil-num=2 en-affil=Department of Mathematics, Aichi University of Education kn-affil= en-keyword=Class numbers kn-keyword=Class numbers en-keyword=Quadratic fields kn-keyword=Quadratic fields en-keyword=D5-polynomials kn-keyword=D5-polynomials END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=93 end-page=111 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Gauss maps of cuspidal edges in hyperbolic 3-space, with application to flat fronts en-subtitle= kn-subtitle= en-abstract= kn-abstract=We study singularities of de Sitter Gauss map images of cuspidal edges in hyperbolic 3-space. We show relations between singularities of de Sitter Gauss map images and differential geometric properties of cuspidal edges. Moreover, we apply this result to flat fronts in hyperbolic 3-space. en-copyright= kn-copyright= en-aut-name=OgataYuta en-aut-sei=Ogata en-aut-mei=Yuta kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=TeramotoKeisuke en-aut-sei=Teramoto en-aut-mei=Keisuke kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Department of Mathematics, Graduate School of Science, Kobe University kn-affil= affil-num=2 en-affil=Department of Mathematics, Graduate School of Science, Kobe University kn-affil= en-keyword=cuspidal edge kn-keyword=cuspidal edge en-keyword=swallowtail kn-keyword=swallowtail en-keyword=de Sitter Gauss map image kn-keyword=de Sitter Gauss map image en-keyword=singularity kn-keyword=singularity en-keyword=flat front kn-keyword=flat front END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=81 end-page=92 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=An arithmetic function arising from the Dedekind ψ function en-subtitle= kn-subtitle= en-abstract= kn-abstract=We define ψ‾ to be the multiplicative arithmetic function that satisfies

for all primes p and positive integers α. Let λ(n) be the number of iterations of the function ψ‾ needed for n to reach 2. It follows from a theorem due to White that λ is additive. Following Shapiro's work on the iterated φ function, we determine bounds for λ. We also use the function λ to partition the set of positive integers into three sets S1, S2, S3 and determine some properties of these sets. en-copyright= kn-copyright= en-aut-name=DefantColin en-aut-sei=Defant en-aut-mei=Colin kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, University of Florida kn-affil= en-keyword=Iterated function kn-keyword=Iterated function en-keyword=Dedekind function kn-keyword=Dedekind function en-keyword=additive function kn-keyword=additive function END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=71 end-page=79 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Evaluation of convolution sums and some remarks on cusp forms of weight 4 and level 12 en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this note, we evaluate certain convolution sums and make some remarks about the Fourier coefficients of cusp forms of weight 4 for Γ0(12). We express the normalized newform of weight 4 on Γ0(12) as a linear combination of the (quasimodular) Eisenstein series (of weight 2) E2(dz), d|12 and their derivatives. Now, by comparing the work of Alaca-Alaca-Williams [1] with our results, as a consequence, we express the coefficients c1,12(n) and c3,4(n) that appear in [1, Eqs.(2.7) and (2.12)] in terms of linear combination of the Fourier coefficients of newforms of weight 4 on Γ0(6) and Γ0(12). The properties of c1,12(n) and c3,4(n) that are derived in [1] now follow from the properties of the Fourier coefficients of the newforms mentioned above. We also express the newforms as a linear combination of certain eta-quotients and obtain an identity involving eta-quotients. en-copyright= kn-copyright= en-aut-name=RamakrishhanB. en-aut-sei=Ramakrishhan en-aut-mei=B. kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=SahuBrundaban en-aut-sei=Sahu en-aut-mei=Brundaban kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Harish-Chandra Research Institute kn-affil= affil-num=2 en-affil=School of Mathematical Sciences National Institute of Science Education and Research kn-affil= en-keyword=convolution sums of the divisor function kn-keyword=convolution sums of the divisor function en-keyword=Fourier coeffificients kn-keyword=Fourier coeffificients en-keyword=newforms of integral weight kn-keyword=newforms of integral weight END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=41 end-page=70 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On a non-abelian generalization of the Bloch–Kato exponential map en-subtitle= kn-subtitle= en-abstract= kn-abstract=The present paper establishes a non-abelian generalization of the Bloch–Kato exponential map. Then, we relate p-adic polylogarithms introduced by Coleman to `-adic polylogarithms introduced by Wojtkowiak. This formula is another analog of the Coleman–Ihara formula obtained by Nakamura, Wojtkowiak, and the author. en-copyright= kn-copyright= en-aut-name=SakugawaKenji en-aut-sei=Sakugawa en-aut-mei=Kenji kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics Graduate School of Science, Osaka University kn-affil= en-keyword=Bloch–Kato exponential map kn-keyword=Bloch–Kato exponential map en-keyword=Non-abelian p-adic Hodge theory kn-keyword=Non-abelian p-adic Hodge theory en-keyword=Coleman–Ihara formula kn-keyword=Coleman–Ihara formula END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=27 end-page=40 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The degree of set-valued mappings from ANR spaces to homology spheres en-subtitle= kn-subtitle= en-abstract= kn-abstract=An admissible mapping is a set-valued mapping which has a selected pair of continuous mappings. In this paper, we study the degree of admissible mappings from ANR spaces to homology spheres and prove the uniqueness of the degree under some conditions. en-copyright= kn-copyright= en-aut-name=ShitandaYoshimi en-aut-sei=Shitanda en-aut-mei=Yoshimi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=School of political science and economics, Meiji University kn-affil= en-keyword=Gysin-Smith sequence kn-keyword=Gysin-Smith sequence en-keyword=Vietoris-Begle mapping theorem kn-keyword=Vietoris-Begle mapping theorem END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=21 end-page=25 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Some examples of non-tidy spaces en-subtitle= kn-subtitle= en-abstract= kn-abstract=We construct a free Z2-space Xn for a positive integer n such that w1(Xn)n ≠ 0 but there is no Z2-map from S2 to Xn. en-copyright= kn-copyright= en-aut-name=MatsushitaTakahiro en-aut-sei=Matsushita en-aut-mei=Takahiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil=Graduate School of Mathematical Sciences, The University of Tokyo kn-affil= END start-ver=1.4 cd-journal=joma no-vol=59 cd-vols= no-issue=1 article-no= start-page=1 end-page=19 dt-received= dt-revised= dt-accepted= dt-pub-year=2017 dt-pub=201701 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Categorical characterization of strict morphisms of fs log schemes en-subtitle= kn-subtitle= en-abstract= kn-abstract=In the present paper, we study a categorical characterization of strict morphisms of fs log schemes. In particular, we prove that strictness of morphisms of fs log schemes is preserved by an arbitrary equivalence of categories between suitable categories of fs log schemes. The main result of the present paper leads us to a relatively simple alternative proof of a result on a categorical representation of fs log schemes proved by S. Mochizuki. en-copyright= kn-copyright= en-aut-name=HoshiYuichiro en-aut-sei=Hoshi en-aut-mei=Yuichiro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=NakayamaChikara en-aut-sei=Nakayama en-aut-mei=Chikara kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil=Research Institute for Mathematical Sciences, Kyoto University kn-affil= affil-num=2 en-affil=Department of Economics, Hitotsubashi University kn-affil= en-keyword=fs log scheme kn-keyword=fs log scheme en-keyword=strict morphism kn-keyword=strict morphism en-keyword=fs log point kn-keyword=fs log point END start-ver=1.4 cd-journal=joma no-vol=40 cd-vols= no-issue=3 article-no= start-page=527 end-page=534 dt-received= dt-revised= dt-accepted= dt-pub-year=2015 dt-pub=201509 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Classification of the Linearly Reductive Finite Subgroup Schemes of SL2 en-subtitle= kn-subtitle= en-abstract= kn-abstract=We classify the linearly reductive finite subgroup schemes G of SL2=SL(V) over an algebraically closed field k of positive characteristic, up to conjugation. As a corollary, we prove that such G is in one-to-one correspondence with an isomorphism class of two-dimensional F-rational Gorenstein complete local rings with the coefficient field k by the correspondence G↦((SymV)G) ˆ. en-copyright= kn-copyright= en-aut-name=HashimotoMitsuyasu en-aut-sei=Hashimoto en-aut-mei=Mitsuyasu kn-aut-name=橋本光靖 kn-aut-sei=橋本 kn-aut-mei=光靖 aut-affil-num=1 ORCID= affil-num=1 en-affil=Department of Mathematics, Okayama University kn-affil=岡山大学大学院自然科学研究科 en-keyword=Group scheme kn-keyword=Group scheme en-keyword=Kleinian singularity kn-keyword=Kleinian singularity en-keyword=Invariant theory kn-keyword=Invariant theory END start-ver=1.4 cd-journal=joma no-vol=7 cd-vols= no-issue=7 article-no= start-page=e40784 end-page= dt-received= dt-revised= dt-accepted= dt-pub-year=2012 dt-pub=20120712 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=High-Throughput Identification and Screening of Novel Methylobacterium Species Using Whole-Cell MALDI-TOF/MS Analysis en-subtitle= kn-subtitle= en-abstract= kn-abstract=Methylobacterium species are ubiquitous α-proteobacteria that reside in the phyllosphere and are fed by methanol that is emitted from plants. In this study, we applied whole-cell matrix-assisted laser desorption/ionization time-of-flight mass spectrometry analysis (WC-MS) to evaluate the diversity of Methylobacterium species collected from a variety of plants. The WC-MS spectrum was reproducible through two weeks of cultivation on different media. WC-MS spectrum peaks of M. extorquens strain AM1 cells were attributed to ribosomal proteins, but those were not were also found. We developed a simple method for rapid identification based on spectra similarity. Using all available type strains of Methylobacterium species, the method provided a certain threshold similarity value for species-level discrimination, although the genus contains some type strains that could not be easily discriminated solely by 16S rRNA gene sequence similarity. Next, we evaluated the WC-MS data of approximately 200 methylotrophs isolated from various plants with MALDI Biotyper software (Bruker Daltonics). Isolates representing each cluster were further identified by 16S rRNA gene sequencing. In most cases, the identification by WC-MS matched that by sequencing, and isolates with unique spectra represented possible novel species. The strains belonging to M. extorquens, M. adhaesivum, M. marchantiae, M. komagatae, M. brachiatum, M. radiotolerans, and novel lineages close to M. adhaesivum, many of which were isolated from bryophytes, were found to be the most frequent phyllospheric colonizers. The WC-MS technique provides emerging high-throughputness in the identification of known/novel species of bacteria, enabling the selection of novel species in a library and identification without 16S rRNA gene sequencing. en-copyright= kn-copyright= en-aut-name=TaniAkio en-aut-sei=Tani en-aut-mei=Akio kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=NurettinSahin en-aut-sei=Nurettin en-aut-mei=Sahin kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=MatsuyamaYumiko en-aut-sei=Matsuyama en-aut-mei=Yumiko kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=EnomotoTakashi en-aut-sei=Enomoto en-aut-mei=Takashi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=NishimuraNaoki en-aut-sei=Nishimura en-aut-mei=Naoki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= en-aut-name=YokotaAkira en-aut-sei=Yokota en-aut-mei=Akira kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=6 ORCID= en-aut-name=KimbaraKazuhide en-aut-sei=Kimbara en-aut-mei=Kazuhide kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=7 ORCID= affil-num=1 en-affil= kn-affil=Institute of Plant Science and Resources, Okayama University affil-num=2 en-affil= kn-affil=Faculty of Education, Mugla Sitki Kocman University affil-num=3 en-affil= kn-affil= affil-num=4 en-affil= kn-affil=Institute of Plant Science and Resources, Okayama University affil-num=5 en-affil= kn-affil=Botanical Garden, Okayama University of Science affil-num=6 en-affil= kn-affil=Faculty of Mathematics and Natural Sciences, University of Indonesia affil-num=7 en-affil= kn-affil=Faculty of Engineering, Shizuoka University END start-ver=1.4 cd-journal=joma no-vol=58 cd-vols= no-issue=1 article-no= start-page=183 end-page=198 dt-received= dt-revised= dt-accepted= dt-pub-year=2016 dt-pub=201601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=The positivity of the transmutation operators associated to the Cherednik operators for the root system $BC_2$ en-subtitle= kn-subtitle= en-abstract= kn-abstract=We consider the transmutation operators Vk, tVk and V W k , tV W k associated respectively with the Cherednik operators and the Heckman-Opdam theory attached to the root system BC2, called also in [8, 9, 10] the trigonometric Dunkl intertwining operators, and their dual. In this paper we prove that the operators Vk, tVk and VWk , tVWk are positivity preserving and allows positive integral representations. In particular we deduce that the Opdam-Cherednik and the Heckman-Opdam kernels are positive definite. en-copyright= kn-copyright= en-aut-name=TRIMÈCHEKhalifa en-aut-sei=TRIMÈCHE en-aut-mei=Khalifa kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics Faculty of Science of Tunis University Tunis El-Manar en-keyword=Cherednik operators-Root system of type BC2 kn-keyword=Cherednik operators-Root system of type BC2 en-keyword=Transmutation operators kn-keyword=Transmutation operators en-keyword=The trigonometric Dunkl intertwining operator and its dual kn-keyword=The trigonometric Dunkl intertwining operator and its dual END start-ver=1.4 cd-journal=joma no-vol=58 cd-vols= no-issue=1 article-no= start-page=169 end-page=182 dt-received= dt-revised= dt-accepted= dt-pub-year=2016 dt-pub=201601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On weakly separable polynomials and weakly quasi-separable polynomials over rings en-subtitle= kn-subtitle= en-abstract= kn-abstract=Separable extensions of noncommutative rings have already been studied extensively. Recently, N. Hamaguchi and A. Nakajima introduced the notions of weakly separable extensions and weakly quasiseparable extensions. They studied weakly separable polynomials and weakly quasi-separable polynomials in the case that the coefficient ring is commutative. The purpose of this paper is to give some improvements and generalizations of Hamaguchi and Nakajima's results. We shall characterize a weakly separable polynomial f(X) over a commutative ring by using its derivative f′(X) and its discriminant δ(f(X)). Further, we shall try to give necessary and sufficient conditions for weakly separable polynomials in skew polynomial rings in the case that the coefficient ring is noncommutative. en-copyright= kn-copyright= en-aut-name=YamanakaSatoshi en-aut-sei=Yamanaka en-aut-mei=Satoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics Graduate School of Natural Science and Technology Okayama University en-keyword=separable extension kn-keyword=separable extension en-keyword=quasi-separable extension kn-keyword=quasi-separable extension en-keyword=weakly separable extension kn-keyword=weakly separable extension en-keyword=weakly quasi-separable extension kn-keyword=weakly quasi-separable extension en-keyword=skew polynomial ring kn-keyword=skew polynomial ring en-keyword=derivation kn-keyword=derivation END start-ver=1.4 cd-journal=joma no-vol=58 cd-vols= no-issue=1 article-no= start-page=159 end-page=167 dt-received= dt-revised= dt-accepted= dt-pub-year=2016 dt-pub=201601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Restriction on Galois groups by prime inert condition en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we study number fields K with the property that every prime factor of the degree of K remains prime in K. We determine all types of Galois groups of such K up to degree nine and find that Wang's non-existence in cyclic octic case is exceptionally undetermined by our group-theoretic criterion. en-copyright= kn-copyright= en-aut-name=KomatsuToru en-aut-sei=Komatsu en-aut-mei=Toru kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics Faculty of Science and Technology Tokyo University of Science en-keyword=Inverse Galois theory kn-keyword=Inverse Galois theory en-keyword=prime factorization kn-keyword=prime factorization END start-ver=1.4 cd-journal=joma no-vol=58 cd-vols= no-issue=1 article-no= start-page=141 end-page=158 dt-received= dt-revised= dt-accepted= dt-pub-year=2016 dt-pub=201601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Alternative approach for Siegel's lemma en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this article, we present an alternative approach to show a generalization of Siegel's lemma which is an essential tool in Diophantine problems. Our main statement contains the so-called analytic Siegel's lemma as well as the Bombieri-Vaaler lemma. Our proof avoids relying on the ordinary geometry of numbers. en-copyright= kn-copyright= en-aut-name=NagataMakoto en-aut-sei=Nagata en-aut-mei=Makoto kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Osaka University of Pharmaceutical Sciences en-keyword=Siegel’s lemma kn-keyword=Siegel’s lemma en-keyword=geometry of numbers kn-keyword=geometry of numbers en-keyword=height kn-keyword=height END start-ver=1.4 cd-journal=joma no-vol=58 cd-vols= no-issue=1 article-no= start-page=133 end-page=140 dt-received= dt-revised= dt-accepted= dt-pub-year=2016 dt-pub=201601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On finite rings over which every free codes is splitting en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we study the structure of finite rings over which all free codes are splitting. In particular, we show that over the matrix rings over finite local rings all free codes are splitting. en-copyright= kn-copyright= en-aut-name=HiranoYasuyuki en-aut-sei=Hirano en-aut-mei=Yasuyuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics Naruto university of Education en-keyword=finite rings kn-keyword=finite rings en-keyword=ring-linear codes kn-keyword=ring-linear codes en-keyword=free codes kn-keyword=free codes END start-ver=1.4 cd-journal=joma no-vol=58 cd-vols= no-issue=1 article-no= start-page=125 end-page=132 dt-received= dt-revised= dt-accepted= dt-pub-year=2016 dt-pub=201601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=On a duality of Gras between totally positive and primary cyclotomic units en-subtitle= kn-subtitle= en-abstract= kn-abstract=Let K be a real abelian field of odd degree over Q, and C the group of cyclotomic units of K. We denote by C+ and C0 the totally positive and primary elements of C, respectively. G. Gras found a duality between the Galois modules C+/C2 and C0/C2 by some ingenious calculation on cyclotomic units. We give an alternative proof using a consequence (=“Gras conjecture”) of the Iwasawa main conjecture and the standard reflection argument. We also give some related topics. en-copyright= kn-copyright= en-aut-name=IchimuraHumio en-aut-sei=Ichimura en-aut-mei=Humio kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Faculty of Science, Ibaraki University en-keyword=cyclotomic units kn-keyword=cyclotomic units en-keyword=reflection argument kn-keyword=reflection argument en-keyword=ideal class group kn-keyword=ideal class group END start-ver=1.4 cd-journal=joma no-vol=58 cd-vols= no-issue=1 article-no= start-page=109 end-page=123 dt-received= dt-revised= dt-accepted= dt-pub-year=2016 dt-pub=201601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Another description of quasi tertiary composition en-subtitle= kn-subtitle= en-abstract= kn-abstract=We give another description of quasi tertiary composition in terms of horizontal and vertical compositions. As an application of the description and a modified result of Hardie-Kamps-Marcum-Oda, we see that any quasi tertiary composition has an indeterminacy. en-copyright= kn-copyright= en-aut-name=ŌshimaHideaki en-aut-sei=Ōshima en-aut-mei=Hideaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=ŌshimaKatsumi en-aut-sei=Ōshima en-aut-mei=Katsumi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Ibaraki University affil-num=2 en-affil= kn-affil= en-keyword=Toda bracket kn-keyword=Toda bracket en-keyword=tertiary composition kn-keyword=tertiary composition en-keyword=quasi tertiary composition kn-keyword=quasi tertiary composition en-keyword=horizontal composition kn-keyword=horizontal composition en-keyword=vertical composition kn-keyword=vertical composition END start-ver=1.4 cd-journal=joma no-vol=58 cd-vols= no-issue=1 article-no= start-page=79 end-page=108 dt-received= dt-revised= dt-accepted= dt-pub-year=2016 dt-pub=201601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Aharonov--Bohm effect in resonances of magnetic Schrödinger operators in two dimensions III en-subtitle= kn-subtitle= en-abstract= kn-abstract=We study the Aharonov–Bohm effect (AB effect) in quantum resonances for magnetic scattering in two dimensions. The system consists of four scatters, two obstacles and two scalar potentials with compact support, which are largely separated from one another. The obstacles by which the magnetic fields are completely shielded are vertically placed between the supports of the two potentials. The system yields a two dimensional model of a toroidal scattering system in three dimensions. The resonances are shown to be generated near the real axis by the trajectories trapped between two supports of the scalar potentials as the distances between the scatterers go to infinity. We analyze how the AB effect influences the location of resonances. The result heavily depends on the width between the two obstacles as well as on the magnetic fluxes. The critical case is that the width is comparable to the square root of the distance between the supports of the two potentials. en-copyright= kn-copyright= en-aut-name=TamuraHideo en-aut-sei=Tamura en-aut-mei=Hideo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Okayama University en-keyword=Aharonov–Bohm effect kn-keyword=Aharonov–Bohm effect en-keyword=magnetic Schrödinger operator kn-keyword=magnetic Schrödinger operator en-keyword=resonances kn-keyword=resonances END start-ver=1.4 cd-journal=joma no-vol=58 cd-vols= no-issue=1 article-no= start-page=41 end-page=78 dt-received= dt-revised= dt-accepted= dt-pub-year=2016 dt-pub=201601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Aharonov--Bohm effect in resonances of magnetic Schrödinger operators in two dimensions II en-subtitle= kn-subtitle= en-abstract= kn-abstract=We study the Aharonov–Bohm effect (AB effect) in quantum resonances for magnetic scattering in two dimensions. The system consists of four scatters, two obstacles and two scalar potentials with compact support, which are largely separated from one another. The obstacles by which the magnetic fields are completely shielded are horizontally placed between the supports of the two potentials. The fields do not influence particles from a classical mechanical point of view, but quantum particles are influenced by the corresponding vector potential which does not necessarily vanish outside the obstacle. This quantum phenomenon is called the AB effect. The resonances are shown to be generated near the real axis by the trajectories trapped between two supports of the scalar potentials as the distances between the scatterers go to infinity. We analyze how the AB effect influences the location of resonances. The result is described in terms of the backward amplitudes for scattering by each of the scalar potentials, and it depends heavily on the ratios of the distances between the four scatterers as well as on the magnetic fluxes of the fields. en-copyright= kn-copyright= en-aut-name=TamuraHideo en-aut-sei=Tamura en-aut-mei=Hideo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Okayama University en-keyword=Aharonov–Bohm effect kn-keyword=Aharonov–Bohm effect en-keyword=magnetic Schrödinger operator kn-keyword=magnetic Schrödinger operator en-keyword=resonances kn-keyword=resonances END start-ver=1.4 cd-journal=joma no-vol=58 cd-vols= no-issue=1 article-no= start-page=1 end-page=39 dt-received= dt-revised= dt-accepted= dt-pub-year=2016 dt-pub=201601 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=Asymptotic properties in forward directions of resolvent kernels of magnetic Schrödinger operators in two dimensions en-subtitle= kn-subtitle= en-abstract= kn-abstract=We study the asymptotic properties in forward directions of resolvent kernels with spectral parameters in the lower half plane (unphysical sheet) of the complex plane for magnetic Schrödinger operators in two dimensions. The asymptotic formula obtained has an application to the problem of quantum resonances in magnetic scattering, and it is especially helpful in studying how the Aharonov–Bohm effect influences the location of resonances. Here we mention only the results without proofs. en-copyright= kn-copyright= en-aut-name=TamuraHideo en-aut-sei=Tamura en-aut-mei=Hideo kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Okayama University en-keyword=Aharonov–Bohm effect kn-keyword=Aharonov–Bohm effect en-keyword=magnetic Schrödinger operator kn-keyword=magnetic Schrödinger operator en-keyword=resolvent kernel kn-keyword=resolvent kernel en-keyword=resonances kn-keyword=resonances END start-ver=1.4 cd-journal=joma no-vol=47 cd-vols= no-issue=1 article-no= start-page=455 end-page=476 dt-received= dt-revised= dt-accepted= dt-pub-year=2015 dt-pub=201501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=An (N-1)-dimensional convex compact set gives an N-dimensional traveling front in the Allen--Cahn equation en-subtitle= kn-subtitle= en-abstract= kn-abstract=This paper studies traveling fronts to the Allen–Cahn equation in RN for N ≥ 3. Let (N −2)-dimensional smooth surfaces be the boundaries of compact sets in RN−1 and assume that all principal curvatures are positive everywhere. We define an equivalence relation between them and prove that there exists a traveling front associated with a given surface and that it is asymptotically stable for given initial perturbation. The associated traveling fronts coincide up to phase transition if and only if the given surfaces satisfy the equivalence relation. en-copyright= kn-copyright= en-aut-name=TaniguchiMasaharu en-aut-sei=Taniguchi en-aut-mei=Masaharu kn-aut-name=谷口雅治 kn-aut-sei=谷口 kn-aut-mei=雅治 aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=自然科学研究科 en-keyword=traveling front kn-keyword=traveling front en-keyword=Allen–Cahn equation kn-keyword=Allen–Cahn equation en-keyword=nonsymmetric kn-keyword=nonsymmetric END start-ver=1.4 cd-journal=joma no-vol=57 cd-vols= no-issue=1 article-no= start-page=173 end-page=200 dt-received= dt-revised= dt-accepted= dt-pub-year=2015 dt-pub=201501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ZERO MEAN CURVATURE SURFACES IN LORENTZ-MINKOWSKI 3-SPACE AND 2-DIMENSIONAL FLUID MECHANICS en-subtitle= kn-subtitle= en-abstract= kn-abstract=Space-like maximal surfaces and time-like minimal surfaces in Lorentz-Minkowski 3-space R31 are both characterized as zero mean curvature surfaces. We are interested in the case where the zero mean curvature surface changes type from space-like to time-like at a given non-degenerate null curve. We consider this phenomenon and its interesting connection to 2-dimensional fluid mechanics in this expository article. en-copyright= kn-copyright= en-aut-name=FujimoriShoichi en-aut-sei=Fujimori en-aut-mei=Shoichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KimYoung Wook en-aut-sei=Kim en-aut-mei=Young Wook kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=KohSung-Eun en-aut-sei=Koh en-aut-mei=Sung-Eun kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=RossmanWayne en-aut-sei=Rossman en-aut-mei=Wayne kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= en-aut-name=ShinHeayong en-aut-sei=Shin en-aut-mei=Heayong kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=5 ORCID= en-aut-name=UmeharaMasaaki en-aut-sei=Umehara en-aut-mei=Masaaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=6 ORCID= en-aut-name=YamadaKotaro en-aut-sei=Yamada en-aut-mei=Kotaro kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=7 ORCID= en-aut-name=YangSeong-Deog en-aut-sei=Yang en-aut-mei=Seong-Deog kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=8 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Faculty of Science, Okayama University affil-num=2 en-affil= kn-affil=Department of Mathematics, Korea University affil-num=3 en-affil= kn-affil=Department of Mathematics, Konkuk University affil-num=4 en-affil= kn-affil=Department of Mathematics, Faculty of Science, Kobe University affil-num=5 en-affil= kn-affil=Department of Mathematics, Chung-Ang University affil-num=6 en-affil= kn-affil=Department of Mathematical and Computing Sciences, Tokyo Institute of Technology affil-num=7 en-affil= kn-affil=Department of Mathematics, Tokyo Institute of Technology affil-num=8 en-affil= kn-affil=Department of Mathematics, Korea University en-keyword=maximal surface kn-keyword=maximal surface en-keyword=type change kn-keyword=type change en-keyword=zero mean curvature kn-keyword=zero mean curvature en-keyword=subsonic flow kn-keyword=subsonic flow en-keyword=supersonic flow kn-keyword=supersonic flow en-keyword=stream function kn-keyword=stream function END start-ver=1.4 cd-journal=joma no-vol=57 cd-vols= no-issue=1 article-no= start-page=159 end-page=172 dt-received= dt-revised= dt-accepted= dt-pub-year=2015 dt-pub=201501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ENUMERATIVE COMBINATORICS ON DETERMINANTS AND SIGNED BIGRASSMANNIAN POLYNOMIALS en-subtitle= kn-subtitle= en-abstract= kn-abstract=As an application of linear algebra for enumerative combinatorics, we introduce two new ideas, signed bigrassmannian polynomials and bigrassmannian determinant. First, a signed bigrassmannian polynomial is a variant of the statistic given by the number of bigrassmannian permutations below a permutation in Bruhat order as Reading suggested (2002) and afterward the author developed (2011). Second, bigrassmannian determinant is a q-analog of the determinant with respect to our statistic. It plays a key role for a determinantal expression of those polynomials. We further show that bigrassmannian determinant satisfies weighted condensation as a generalization of Dodgson, Jacobi-Desnanot and Robbins-Rumsey (1986). en-copyright= kn-copyright= en-aut-name=KobayashiMasato en-aut-sei=Kobayashi en-aut-mei=Masato kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Graduate School of Science and Engineering Department of Mathematics Saitama University en-keyword=Bigrassmannian permutations kn-keyword=Bigrassmannian permutations en-keyword=Bruhat order kn-keyword=Bruhat order en-keyword=Permutation statistics kn-keyword=Permutation statistics en-keyword=Robbins-Rumsey determinant kn-keyword=Robbins-Rumsey determinant en-keyword=Symmetric Groups kn-keyword=Symmetric Groups en-keyword=Tournaments kn-keyword=Tournaments en-keyword=Vandermonde determinant kn-keyword=Vandermonde determinant END start-ver=1.4 cd-journal=joma no-vol=57 cd-vols= no-issue=1 article-no= start-page=149 end-page=158 dt-received= dt-revised= dt-accepted= dt-pub-year=2015 dt-pub=201501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ON ∅-RECURRENT CONTACT METRIC MANIFOLDS en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we prove that evry 3-dimensional manifold M is a ∅-recurrent N(k)-contact metric manifold if and only if it is flat. Then we classify the ∅-recurrent contact metric manifolds of constant curvature. This implies that there exists no ∅-recurrent N(k)-contact metric manifold, which is neither symmetric nor locally ∅-symmetric. en-copyright= kn-copyright= en-aut-name=PeyghanEsmaeil en-aut-sei=Peyghan en-aut-mei=Esmaeil kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=NasrabadiHassan en-aut-sei=Nasrabadi en-aut-mei=Hassan kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=TayebiAkbar en-aut-sei=Tayebi en-aut-mei=Akbar kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Faculty of Science Arak University affil-num=2 en-affil= kn-affil=Department of Mathematics, Faculty of Science Arak University affil-num=3 en-affil= kn-affil=Department of Mathematics, Faculty of Science University of Qom en-keyword=Constant curvature kn-keyword=Constant curvature en-keyword=Locally ∅-symmetric kn-keyword=Locally ∅-symmetric en-keyword=N(k)-contact metric manifold kn-keyword=N(k)-contact metric manifold en-keyword=∅-recurrent kn-keyword=∅-recurrent END start-ver=1.4 cd-journal=joma no-vol=57 cd-vols= no-issue=1 article-no= start-page=129 end-page=148 dt-received= dt-revised= dt-accepted= dt-pub-year=2015 dt-pub=201501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=AN EXPLICIT EFFECT OF NON-SYMMETRY OF RANDOM WALKS ON THE TRIANGULAR LATTICE en-subtitle= kn-subtitle= en-abstract= kn-abstract=In the present paper, we study an explicit effect of non-symmetry on asymptotics of the n-step transition probability as n → ∞ for a class of non-symmetric random walks on the triangular lattice. Realizing the triangular lattice into R2 appropriately, we observe that the Euclidean distance in R2 naturally appears in the asymptotics. We characterize this realization from a geometric view point of Kotani-Sunada’s standard realization of crystal lattices. As a corollary of the main theorem, we obtain that the transition semigroup generated by the non-symmetric random walk approximates the heat semigroup generated by the usual Brownian motion on R2. en-copyright= kn-copyright= en-aut-name=IshiwataSatoshi en-aut-sei=Ishiwata en-aut-mei=Satoshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=KawabiHiroshi en-aut-sei=Kawabi en-aut-mei=Hiroshi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=TeruyaTsubasa en-aut-sei=Teruya en-aut-mei=Tsubasa kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematical Sciences, Faculty of Science Yamagata University affil-num=2 en-affil= kn-affil=Department of Mathematics, Faculty of Science Okayama University affil-num=3 en-affil= kn-affil=The Okinawa Kaiho Bank, Ltd. en-keyword=Non-symmetric random walk kn-keyword=Non-symmetric random walk en-keyword=asymptotic expansion kn-keyword=asymptotic expansion en-keyword=triangular lattice kn-keyword=triangular lattice en-keyword=standard realization kn-keyword=standard realization END start-ver=1.4 cd-journal=joma no-vol=57 cd-vols= no-issue=1 article-no= start-page=123 end-page=128 dt-received= dt-revised= dt-accepted= dt-pub-year=2015 dt-pub=201501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=THE EQUIVARIANT SIMPLICIAL DE RHAM COMPLEX AND THE CLASSIFYING SPACE OF A SEMI-DIRECT PRODUCT GROUP en-subtitle= kn-subtitle= en-abstract= kn-abstract=We show that the cohomology group of the total complex of the equivariant simplicial de Rham complex is isomorphic to the cohomology group of the classifying space of a semi-direct product group. en-copyright= kn-copyright= en-aut-name=SuzukiNaoya en-aut-sei=Suzuki en-aut-mei=Naoya kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Graduate School of Mathematics, Nagoya University en-keyword=simplicial de Rham complex kn-keyword=simplicial de Rham complex en-keyword=classifying space kn-keyword=classifying space END start-ver=1.4 cd-journal=joma no-vol=57 cd-vols= no-issue=1 article-no= start-page=111 end-page=122 dt-received= dt-revised= dt-accepted= dt-pub-year=2015 dt-pub=201501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=THE CANONICAL LINE BUNDLES OVER EQUIVARIANT REAL PROJECTIVE SPACES en-subtitle= kn-subtitle= en-abstract= kn-abstract=A generator of the reduced KO-group of the real projective space of dimension n is related to the canonical line bundle γ. In the present paper, we will prove that for a finite group G of odd order and a real G-representation U of dimension 2n, in the reduced G-equivariant KO-group of the real projective space associated with the G-representation R ⊕ U, the element 2n+2[γ] is equal to zero. en-copyright= kn-copyright= en-aut-name=QiYan en-aut-sei=Qi en-aut-mei=Yan kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics Graduate School of Natural Science and Technology Okayama University en-keyword=equivariant real vector bundle kn-keyword=equivariant real vector bundle en-keyword=group action kn-keyword=group action en-keyword=real projective space kn-keyword=real projective space en-keyword=canonical line bundle kn-keyword=canonical line bundle en-keyword=product bundle kn-keyword=product bundle END start-ver=1.4 cd-journal=joma no-vol=57 cd-vols= no-issue=1 article-no= start-page=99 end-page=110 dt-received= dt-revised= dt-accepted= dt-pub-year=2015 dt-pub=201501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=SUPPLEMENTED MORPHISMS en-subtitle= kn-subtitle= en-abstract= kn-abstract=In the present paper, left R-modules M and N are studied under the assumptions that HomR(M,N) is supplemented. It is shown that Hom(M,N) is (⊕, G*, amply)-supplemented if and only if N is (⊕, G*, amply)-supplemented. Some applications to cosemisimple modules, refinable modules and UCC-modules are presented. Finally, the relationship between the Jacobson radical J[M,N] of HomR(M,N) and HomR(M,N) is supplemented are investigated. Let M be a finitely generated, self-projective left R-module and N ∈ Gen(M). We show that if Hom(M,N) is supplemented and N has GD2 then Hom(M,N)/J(M,N) is semisimple as a left EM-module. en-copyright= kn-copyright= en-aut-name=KörArda en-aut-sei=Kör en-aut-mei=Arda kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=QuynhTruong Cong en-aut-sei=Quynh en-aut-mei=Truong Cong kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= en-aut-name=ŞahinkayaSerap en-aut-sei=Şahinkaya en-aut-mei=Serap kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=3 ORCID= en-aut-name=KoşanMuhammet Tamer en-aut-sei=Koşan en-aut-mei=Muhammet Tamer kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=4 ORCID= affil-num=1 en-affil= kn-affil=Department of Mathematics, Gebze Institute of Technology affil-num=2 en-affil= kn-affil=Department of Mathematics Danang University affil-num=3 en-affil= kn-affil=Department of Mathematics, Gebze Institute of Technology affil-num=4 en-affil= kn-affil=Department of Mathematics, Gebze Institute of Technology en-keyword=regular module kn-keyword=regular module en-keyword=supplemented module kn-keyword=supplemented module END start-ver=1.4 cd-journal=joma no-vol=57 cd-vols= no-issue=1 article-no= start-page=85 end-page=98 dt-received= dt-revised= dt-accepted= dt-pub-year=2015 dt-pub=201501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=STEENROD-ČECH HOMOLOGY-COHOMOLOGY THEORIES ASSOCIATED WITH BIVARIANT FUNCTORS en-subtitle= kn-subtitle= en-abstract= kn-abstract=Let NG0 denote the category of all pointed numerically generated spaces and continuous maps preserving base-points. In [SYH], we described a passage from bivariant functors NG0op × NG0 → NG0 to generalized homology and cohomology theories. In this paper, we construct a bivariant functor such that the associated cohomology is the Čech cohomology and the homology is the Steenrod homology (at least for compact metric spaces). en-copyright= kn-copyright= en-aut-name=YoshidaKohei en-aut-sei=Yoshida en-aut-mei=Kohei kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Kyoto Rakuhoku High School en-keyword=Čech cohomologies kn-keyword=Čech cohomologies en-keyword=Steenrod homologies kn-keyword=Steenrod homologies en-keyword=bivariant functors kn-keyword=bivariant functors END start-ver=1.4 cd-journal=joma no-vol=57 cd-vols= no-issue=1 article-no= start-page=79 end-page=84 dt-received= dt-revised= dt-accepted= dt-pub-year=2015 dt-pub=201501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=ON MODEL STRUCTURE FOR COREFLECTIVE SUBCATEGORIES OF A MODEL CATEGORY en-subtitle= kn-subtitle= en-abstract= kn-abstract= en-copyright= kn-copyright= en-aut-name=HaraguchiTadayuki en-aut-sei=Haraguchi en-aut-mei=Tadayuki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= affil-num=1 en-affil= kn-affil=Department of General Education Oita National College of Technology en-keyword=model category kn-keyword=model category en-keyword=Quillen equivalence kn-keyword=Quillen equivalence en-keyword=numerically generated space kn-keyword=numerically generated space END start-ver=1.4 cd-journal=joma no-vol=57 cd-vols= no-issue=1 article-no= start-page=13 end-page=78 dt-received= dt-revised= dt-accepted= dt-pub-year=2015 dt-pub=201501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=QUASI TERTIARY COMPOSITIONS AND A TODA BRACKET IN HOMOTOPY GROUPS OF SU(3) en-subtitle= kn-subtitle= en-abstract= kn-abstract=We revise the theories of tertiary compositions studied by Ôguchi and Mimura. As a byproduct, we determine a Toda bracket in homotopy groups of SU(3) which solves an ambiguity in a previous paper of Maruyama and the first author. en-copyright= kn-copyright= en-aut-name=ŌshimaHideaki en-aut-sei=Ōshima en-aut-mei=Hideaki kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=ŌshimaKatsumi en-aut-sei=Ōshima en-aut-mei=Katsumi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil=Ibaraki University affil-num=2 en-affil= kn-affil= en-keyword=Toda bracket kn-keyword=Toda bracket en-keyword=tertiary composition kn-keyword=tertiary composition en-keyword=quasi tertiary composition kn-keyword=quasi tertiary composition en-keyword=homotopy group kn-keyword=homotopy group en-keyword=special unitary group kn-keyword=special unitary group en-keyword=Samelson product kn-keyword=Samelson product END start-ver=1.4 cd-journal=joma no-vol=57 cd-vols= no-issue=1 article-no= start-page=1 end-page=12 dt-received= dt-revised= dt-accepted= dt-pub-year=2015 dt-pub=201501 dt-online= en-article= kn-article= en-subject= kn-subject= en-title= kn-title=MODULAR DIFFERENTIAL EQUATIONS WITH REGULAR SINGULARITIES AT ELLIPTIC POINTS FOR THE HECKE CONGRUENCE SUBGROUPS OF LOW-LEVELS en-subtitle= kn-subtitle= en-abstract= kn-abstract=In this paper, we give explicit expressions of modular differential equations with regular singularities at elliptic points for the Hecke subgroups of level 2, 3, and 4, and their solutions expressed in terms of the Gauss hypergeometric series. We also give quasimodular-form solutions for some modular differential equations. en-copyright= kn-copyright= en-aut-name=SakaiYuichi en-aut-sei=Sakai en-aut-mei=Yuichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=1 ORCID= en-aut-name=ShimizuKenichi en-aut-sei=Shimizu en-aut-mei=Kenichi kn-aut-name= kn-aut-sei= kn-aut-mei= aut-affil-num=2 ORCID= affil-num=1 en-affil= kn-affil= affil-num=2 en-affil= kn-affil= en-keyword=modular/quasimodular form kn-keyword=modular/quasimodular form en-keyword=differential equations kn-keyword=differential equations END