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博士(数理学)(九州大学)
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修士(数理学)(九州大学)
Research History 11
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2023/04 - PresentTohoku University Mathematical Science Center for Co-creative Society Associate Professor
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2012/08 - PresentTohoku University Graduate School of Information Sciences Associate Professor
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2022/12 - 2023/03Tohoku University Research Alliance Center for Mathematical Sciences Associate Professor
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2017/04 - 2022/03Tohoku University Research Alliance Center for Mathematical Sciences Associate Professor
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2007/10 - 2012/07Tohoku University Graduate School of Information Sciences Assistant Professor
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2010/03 - 2011/03University of Wisconsin-Madison Department of Mathematics Honorary Fellow
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2007/04 - 2007/09Worcester Polytechnic Institute Department of Mathematical Sciences Affiliate Assistant Professor & JSPS Fellow for Research Abroad
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2007/04 - 2007/06Massachusetts Institute of Technology Department of Mathematics Visiting Scholar
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2004/04 - 2007/03Tohoku University Graduate School of Information Sciences JSPS Research Fellow (PD)
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2006/08 - 2006/09Pohang University of Science and Technology Combinatorial and Computational Mathematics Center Visiting Researcher
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2001/04 - 2004/03Tohoku University Graduate School of Information Sciences JSPS Research Fellow (DC1)
Education 3
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Kyushu University Graduate School of Mathematics
2001/04 - 2004/03
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Kyushu University Graduate School of Mathematics
1999/04 - 2001/03
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Kyushu University Faculty of Science Department of Mathematics
1995/04 - 1999/03
Professional Memberships 2
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The Institute of Combinatorics and its Applications
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The Mathematical Society of Japan
Research Interests 3
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spectral graph theory
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algebraic graph theory
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algebraic combinatorics
Research Areas 3
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Natural sciences / Applied mathematics and statistics /
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Natural sciences / Basic mathematics /
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Natural sciences / Algebra /
Papers 37
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Characterizing graphs with fully positive semidefinite $Q$-matrices International-journal Peer-reviewed
Hajime Tanaka
Linear Algebra and its Applications 671 59-66 2023/08/15
Publisher: Elsevier BVDOI: 10.1016/j.laa.2023.04.018
ISSN:0024-3795
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Spatial search on Johnson graphs by discrete-time quantum walk International-journal International-coauthorship Peer-reviewed
Hajime Tanaka, Mohamed Sabri, Renato Portugal
Journal of Physics A: Mathematical and Theoretical 55 (25) 255304 2022/06/01
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Tight relative $t$-designs on two shells in hypercubes, and Hahn and Hermite polynomials International-journal International-coauthorship Peer-reviewed
Eiichi Bannai, Etsuko Bannai, Hajime Tanaka, Yan Zhu
Ars Mathematica Contemporanea 22 (2) #P2.01 2022/04/14
Publisher: University of Primorska PressDOI: 10.26493/1855-3974.2352.eaf
ISSN:1855-3966
eISSN:1855-3974
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A duality of scaffolds for translation association schemes International-journal International-coauthorship Peer-reviewed
Xiaoye Liang, Ying-Ying Tan, Hajime Tanaka, Tao Wang
Linear Algebra and its Applications 638 110-124 2022/04/01
Publisher: Elsevier BVDOI: 10.1016/j.laa.2021.12.018
ISSN:0024-3795
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Spatial search on Johnson graphs by continuous-time quantum walk International-journal International-coauthorship Peer-reviewed
Hajime Tanaka, Mohamed Sabri, Renato Portugal
Quantum Information Processing 21 (2) 74 2022/01/28
Publisher: Springer Science and Business Media LLCDOI: 10.1007/s11128-022-03417-9
ISSN:1570-0755
eISSN:1573-1332
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Scaling limits for the Gibbs states on distance-regular graphs with classical parameters International-journal International-coauthorship Peer-reviewed
Masoumeh Koohestani, Nobuaki Obata, Hajime Tanaka
SIGMA Symmetry, Integrability and Geometry: Methods and Applications 17 104 2021/11/26
Publisher: SIGMA (Symmetry, Integrability and Geometry: Methods and Application)eISSN:1815-0659
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The Terwilliger algebra of the twisted Grassmann graph: the thin case International-journal Peer-reviewed
Hajime Tanaka, Tao Wang
The Electronic Journal of Combinatorics 27 (4) #P4.15 2020/10/30
DOI: 10.37236/9873
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Asymptotic joint spectra of Cartesian powers of strongly regular graphs and bivariate Charlier–Hermite polynomials International-journal International-coauthorship Peer-reviewed
John Vincent, S. Morales, Nobuaki Obata, Hajime Tanaka
Colloquium Mathematicum 162 (1) 1-22 2020/04/01
Publisher: Institute of Mathematics, Polish Academy of SciencesISSN:0010-1354
eISSN:1730-6302
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The independence number of the orthogonality graph in dimension $2^k$ International-journal International-coauthorship Peer-reviewed
Ferdinand Ihringer, Hajime Tanaka
Combinatorica 39 (6) 1425-1428 2019/12
DOI: 10.1007/s00493-019-4134-9
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An Assmus–Mattson theorem for codes over commutative association schemes International-journal Peer-reviewed
John Vincent S. Morales, Hajime Tanaka
Designs, Codes and Cryptography 86 (5) 1039-1062 2018/05
DOI: 10.1007/s10623-017-0376-y
ISSN:0925-1022
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Dual polar graphs, a nil-DAHA of rank one, and non-symmetric dual $q$-Krawtchouk polynomials International-journal International-coauthorship Peer-reviewed
Jae-Ho Lee, Hajime Tanaka
SIGMA Symmetry, Integrability and Geometry: Methods and Applications 14 009 2018/02
ISSN:1815-0659
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A semidefinite programming approach to a cross-intersection problem with measures International-journal Peer-reviewed
Sho Suda, Hajime Tanaka, Norihide Tokushige
Mathematical Programming 166 (1-2) 113-130 2017/11
DOI: 10.1007/s10107-016-1106-3
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Design theory from the viewpoint of algebraic combinatorics International-journal International-coauthorship Peer-reviewed
Eiichi Bannai, Etsuko Bannai, Hajime Tanaka, Yan Zhu
Graphs and Combinatorics 33 (1) 1-41 2017/01
DOI: 10.1007/s00373-016-1739-2
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Distance-regular graphs International-journal International-coauthorship Peer-reviewed
Edwin R. van Dam, Jack H. Koolen, Hajime Tanaka
The Electronic Journal of Combinatorics #DS22 2016/04
DOI: 10.37236/4925
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Arithmetic completely regular codes International-journal International-coauthorship Peer-reviewed
Jack H. Koolen, Woo Sun Lee, William J. Martin, Hajime Tanaka
Discrete Mathematics & Theoretical Computer Science 17 (3) 59-76 2016/02
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On relative $t$-designs in polynomial association schemes International-journal International-coauthorship Peer-reviewed
Eiichi Bannai, Etsuko Bannai, Sho Suda, Hajime Tanaka
The Electronic Journal of Combinatorics 22 (4) #P4.47 2015/12
DOI: 10.37236/4889
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Appendix: On some Gelfand pairs and commutative association schemes International-journal International-coauthorship Peer-reviewed
Eiichi Bannai, Hajime Tanaka
Japanese Journal of Mathematics 10 (1) 97-104 2015/03
DOI: 10.1007/s11537-014-1391-7
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A cross-intersection theorem for vector spaces based on semidefinite programming International-journal Peer-reviewed
Sho Suda, Hajime Tanaka
Bulletin of the London Mathematical Society 46 (2) 342-348 2014/02/03
DOI: 10.1112/blms/bdt101
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The Erdős-Ko-Rado basis for a Leonard system International-journal Peer-reviewed
Hajime Tanaka
Contributions to Discrete Mathematics 8 (2) 41-59 2013
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The Erdős-Ko-Rado theorem for twisted Grassmann graphs International-journal Peer-reviewed
Hajime Tanaka
Combinatorica 32 (6) 735-740 2012/12
DOI: 10.1007/s00493-012-2798-5
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A note on super Catalan numbers International-journal International-coauthorship Peer-reviewed
Evangelos Georgiadis, Akihiro Munemasa, Hajime Tanaka
Interdisciplinary Information Sciences 18 (1) 23-24 2012/06/21
DOI: 10.4036/iis.2012.23
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Vertex subsets with minimal width and dual width in $Q$-polynomial distance-regular graphs International-journal Peer-reviewed
Hajime Tanaka
The Electronic Journal of Combinatorics 18 (1) #P167 2011/08
DOI: 10.37236/654
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Nonexistence of exceptional imprimitive $Q$-polynomial association schemes with six classes International-journal Peer-reviewed
Hajime Tanaka, Rie Tanaka
European Journal of Combinatorics 32 (2) 155-161 2011/02
DOI: 10.1016/j.ejc.2010.09.006
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Finite Euclidean graphs and Ramanujan graphs International-journal Peer-reviewed
Eiichi Bannai, Osamu Shimabukuro, Hajime Tanaka
Discrete Mathematics 309 (20) 6126-6134 2009/10/28
DOI: 10.1016/j.disc.2009.06.008
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A bilinear form relating two Leonard systems International-journal Peer-reviewed
Hajime Tanaka
Linear Algebra and its Applications 431 (10) 1726-1739 2009/10/15
DOI: 10.1016/j.laa.2009.06.012
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Commutative association schemes International-journal International-coauthorship Peer-reviewed
William J. Martin, Hajime Tanaka
European Journal of Combinatorics 30 (6) 1497-1525 2009/08
DOI: 10.1016/j.ejc.2008.11.001
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New proofs of the Assmus–Mattson theorem based on the Terwilliger algebra International-journal Peer-reviewed
Hajime Tanaka
European Journal of Combinatorics 30 (3) 736-746 2009/04
DOI: 10.1016/j.ejc.2008.07.018
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A note on the span of Hadamard products of vectors International-journal Peer-reviewed
Hajime Tanaka
Linear Algebra and its Applications 430 (2-3) 865-867 2009/01/15
DOI: 10.1016/j.laa.2008.09.010
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Comments on "Best conventional solutions to the King's problem" International-journal Peer-reviewed
Gen Kimura, Hajime Tanaka, Masanao Ozawa
Zeitschrift für Naturforschung A 62a (3/4) 152-156 2007
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New upper bounds for nonbinary codes based on the Terwilliger algebra and semidefinite programming International-journal International-coauthorship Peer-reviewed
Dion Gijswijt, Alexander Schrijver, Hajime Tanaka
Journal of Combinatorial Theory, Series A 113 (8) 1719-1731 2006/11
DOI: 10.1016/j.jcta.2006.03.010
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Classification of subsets with minimal width and dual width in Grassmann, bilinear forms and dual polar graphs International-journal Peer-reviewed
Hajime Tanaka
Journal of Combinatorial Theory Series A 113 (5) 903-910 2006/07
DOI: 10.1016/j.jcta.2005.08.006
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Solution to the mean king's problem with mutually unbiased bases for arbitrary levels International-journal Peer-reviewed
Gen Kimura, Hajime Tanaka, Masanao Ozawa
Physical Review A 73 (5) 050301(R) 2006/05/05
DOI: 10.1103/PhysRevA.73.050301
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Association schemes of affine type over finite rings International-journal Peer-reviewed
Hajime Tanaka
Advances in Geometry 4 (2) 241-261 2004/03/29
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$(n+1,m+1)$-hypergeometric functions associated to character algebras International-journal Peer-reviewed
Hiroshi Mizukawa, Hajime Tanaka
Proceedings of the American Mathematical Society 132 (9) 2613-2618 2004/03/25
DOI: 10.1090/S0002-9939-04-07399-X
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Finite analogues of non-Euclidean spaces and Ramanujan graphs International-journal Peer-reviewed
Eiichi Bannai, Osamu Shimabukuro, Hajime Tanaka
European Journal of Combinatorics 25 (2) 243-259 2004/02
DOI: 10.1016/S0195-6698(03)00110-0
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The decomposition of the permutation character $1_{GL(n,q^2)}^{GL(2n,q)}$ International-journal Peer-reviewed
Eiichi Bannai, Hajime Tanaka
Journal of Algebra 265 (2) 496-512 2003/07/15
DOI: 10.1016/S0021-8693(03)00271-0
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A four-class subscheme of the association scheme coming from the action of $PGL(2,4^f)$ International-journal Peer-reviewed
Hajime Tanaka
European Journal of Combinatorics 23 (1) 121-129 2002/01
Presentations 68
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The element distinctness problem revisited International-presentation
Hajime Tanaka
10th International Congress on Industrial and Applied Mathematics (ICIAM 2023 TOKYO) 2023/08/21
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Characterizing graphs with fully positive semidefinite $Q$-matrices
RIMS Symposium (open), "Research on finite groups, algebraic combinatorics, and vertex algebras" 2022/12/05
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Scaling limits for the Gibbs states on distance-regular graphs with classical parameters International-presentation International-coauthorship
The 19th Workshop: Noncommutative Probability, Noncommutative Harmonic Analysis and Related Topics, with Applications 2022/08/05
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量子ウォークに基づく Johnson グラフ上の探索アルゴリズム
田中 太初
代数学の広がり 2022/03/25
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Spatial search on Johnson graphs by discrete-time quantum walk International-presentation Invited
Hajime Tanaka
Workshop on Algebraic Combinatorics 2022/01/26
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Spatial search on Johnson graphs by continuous-time quantum walk International-presentation Invited
Hajime Tanaka
Workshop on Algebraic Graph Theory and Quantum Information 2021/08/27
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Scaling limits for the Gibbs states on distance-regular graphs with classical parameters
RIMS Workshop (open) "Research on finite groups, algebraic combinatorics, and vertex algebras" 2020/12/09
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Tight relative $t$-designs on two shells in hypercubes, and Hahn and Hermite polynomials International-coauthorship
RIMS joint research "Research on algebraic combinatorics, related groups and algebras" 2019/12/18
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The independence number of the orthogonality graph in dimension $2^k$ International-presentation
Frontiers in Mathematical Science Research Workshop 2019/09/28
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Tight relative $t$-designs on two shells in hypercubes, and Hahn and Hermite polynomials International-presentation
AMS Fall Central Sectional Meeting 2019/09/14
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Current progress in the Delsarte theory International-presentation Invited
International Workshop on Algebraic Combinatorics 2018/11/24
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距離正則グラフの Terwilliger 代数の拡張について (On a generalization of the Terwilliger algebra of a distance-regular graph)
第63回代数学シンポジウム 2018/09/03
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The Terwilliger algebra with respect to an edge of a bipartite $2$-homogeneous distance-regular graph
Hakata Workshop Summer Meeting 2018 2018/06/16
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Association schemes and orthogonal polynomials International-presentation
Some Aspects of Combinatorics Workshop 2018/03/23
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Association schemes and orthogonal polynomials International-presentation Invited
International Workshop on Bannai-Ito Theory 2017/11/25
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Asymptotic spectral distributions for Cartesian powers of strongly regular graphs and bivariate Charlier–Hermite polynomials
「スペクトラルグラフ理論および周辺領域」第6回研究集会 (The 6<sup>th</sup> Workshop on Spectral Graph Theory and Related Topics) 2017/10/15
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An Assmus–Mattson theorem for codes over commutative association schemes
研究集会「実験計画法と符号および関連する組合せ構造」 2016/11/28
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On tight relative $t$-designs in hypercubes International-presentation
The Japanese Conference on Combinatorics and its Applications (JCCA 2016) 2016/05/24
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A semidefinite programming approach to a cross-intersection problem with measures International-presentation
Systems of Lines: Applications of Algebraic Combinatorics 2015/08/13
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A semidefinite programming approach to a cross-intersection problem with measures
第32回代数的組合せ論シンポジウム 2015/06/22
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The Terwilliger algebra of a $Q$-polynomial distance-regular graph with respect to a set of vertices International-presentation Invited
Algebraic Combinatorics Workshop 2014/11/29
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Delsarte 理論入門 (Introduction to Delsarte Theory)
代数的組合せ論「夏の学校 2014」 2014/06/16
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On relative $t$-designs in polynomial association schemes
代数的組合せ論ミニ集会 2014/03/07
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A cross-intersection theorem for vector spaces based on semidefinite programming
離散数学とその応用研究集会2013 2013/08/10
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A cross-intersection theorem for vector spaces based on semidefinite programming
第30回代数的組合せ論シンポジウム 2013/06/26
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A cross-intersection theorem for vector spaces based on semidefinite programming International-presentation Invited
8th Japanese-Hungarian Symposium on Discrete Mathematics and Its Applications 2013/06/07
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Extending the Erdős–Ko–Rado theorem International-presentation
2012 Shanghai Conference on Algebraic Combinatorics 2012/08/20
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Extending the Erdős–Ko–Rado theorem International-presentation
The 5th International Workshop on Optimal Network Topologies 2012/07/27
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Extending the Erdős–Ko–Rado theorem
RIMS Workshop "Research into Finite Groups and their Representations, Vertex Operator Algebras, and Combinatorics" 2012/03/07
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The Erdős–Ko–Rado theorem for twisted Grassmann graphs International-presentation
10th Korea–Japan Workshop on Algebra and Combinatorics 2012/01/26
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代数的組合せ論に於ける半正定値計画の応用 (Applications of semidefinite programming in Algebraic Combinatorics)
The 23rd RAMP Symposium 2011/10/24
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Vertex subsets with minimal width and dual width in $Q$-polynomial distance-regular graphs International-presentation
Geometric and Algebraic Combinatorics 5 2011/08/17
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Vertex subsets with minimal width and dual width in $Q$-polynomial distance-regular graphs International-presentation
Linear Algebra Techniques in Combinatorics/Graph Theory 2011/02/02
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具体例に於ける Terwilliger 代数の既約加群の計算 (Computations of the irreducible modules of the Terwilliger algebra for concrete examples)
小研究集会「有限幾何とその周辺」 2009/08/07
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$\mathbb{Z}_4$-Kerdock codes, orthogonal spreads, and extremal Euclidean line-sets
夏の学校「Designs and Codes」 2009/06/23
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Dual-tight cometric association schemes International-presentation
Special Session on Algebraic Graph Theory, Association Schemes, and Related Topics, AMS 2009 Spring Eastern Section Meeting 2009/04/26
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Dual-tight cometric association schemes
坂内英一教授退職記念研究集会 2009/03/18
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The nucleus of a $Q$-polynomial distance-regular graph International-presentation
The 5th Japan-Korea Workshop on Algebra and Combinatorics 2008/09/19
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A bilinear form relating two Leonard pairs and its applications International-presentation
Geometric and Algebraic Combinatoris 4 2008/08/20
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A remark on subsets with minimal width plus dual width
ミニ集会「代数的組合せ論」 2008/03/22
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A bilinear form relating two Leonard pairs International-presentation
Fourth Korea-Japan Workshop on Algebra and Combinatorics 2008/02/02
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On the displacement decomposition of a $Q$-polynomial distance-regular graph
RIMS Workshop "Finite Groups and Algebraic Combinatorics" 2007/12/18
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On subsets with minimal width and dual width in $Q$-polynomial distance-regular graphs International-presentation
Bled'07, 6th Slovenian International Conference on Graph Theory 2007/06/25
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A strengthening of the Assmus-Mattson theorem based on the displacement and split decompositions International-presentation
CanaDAM 2007, 1st Canadian Discrete and Algorithmic Mathematics Conference 2007/05/29
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On subsets with minimal width and dual width in $Q$-polynomial distance-regular graphs
代数的組合せ論ミニ集会 2007/03/05
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On subsets with minimal width and dual width in $Q$-polynomial distance-regular graphs International-presentation
Korea-Japan Workshop on Algebra and Combinatorics 2007/02/11
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A strengthening of the Assmus-Mattson theorem based on the displacement and split decompositions
RIMS研究集会「群論とその周辺」 2006/12/21
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A strengthening of the Assmus-Mattson theorem based on the split and displacement decompositions International-presentation
Algebra and Combinatorics, Japan-Korea 2006/10/22
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Terwilliger 代数に基づく符号の半正定値計画限界 (The semidefinite programming bound for codes based on the Terwilliger algebra)
第51回代数学シンポジウム 2006/08/05
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A new proof of the Assmus-Mattson theorem based on the Terwilliger algebra International-presentation
Algebraic Combinatorics: An International Conference in Honor of Eiichi Bannai's 60th Birthday 2006/06/30
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Partial superschemes and semidefinite programming bounds
代数的組合せ論ミニ集会 2006/03/04
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アソシエーションスキームの話 (Topics in association schemes) Invited
第2回組合せ論若手研究集会 2006/02/20
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Classification of subsets with minimal width and dual width in Grassmann, bilinear forms and dual polar graphs International-presentation Invited
The Fifth Shanghai Conference on Combinatorics 2005/05/14
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A classification of subsets with $w+w^*=d$ in polynomial association schemes
RIMS Workshop "Algebraic Combinatorics" 2004/12/14
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Schrijver bound for nonbinary codes International-presentation
COE Workshop on Sphere Packings 2004/11/05
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Character tables of commutative association schemes and coding theory International-presentation
Workshop "Open Problems on Association Schemes" 2004/07/17
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可換アソシエーションスキームの指標理論 (Character theory of commutative association schemes)
RIMS研究集会「有限単純群の研究とその周辺」 2003/12/15
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On eigenmatrices of certain character algebras and $(n+1,m+1)$-hypergeometric functions International-presentation
The Second East Asian Conference on Algebra and Combinatorics 2003/11/20
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Association schemes of affine type over finite rings International-presentation
Conference on Algebra 2002/12/02
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Association schemes of affine type over finite rings International-presentation
Combinatorial Number Theory and Algebraic Combinatorics 2002/11/19
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Association schemes of affine type over finite rings
第14回有限群論草津セミナー 2002/08
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The decomposition of the permutation character $1_{GL(n,q^2)}^{GL(2n,q)}$
RIMS Workshop "Topics in Young Diagrams and Representation Theory" 2001/11
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The decomposition of the permutation character $1_{GL(n,q^2)}^{GL(2n,q)}$
日本数学会秋季総合分科会 2001/10
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The decomposition of the permutation character $1_{GL(n,q^2)}^{GL(2n,q)}$ International-presentation
East Asian Conference on Algebra and Combinatorics 2001/09
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The decomposition of the permutation character $1_{GL(n,q^2)}^{GL(2n,q)}$
第18回代数的組合せ論シンポジウム 2001/07/02
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Some results on the multiplicity-free permutation group $GL(4,q)$ acting on $GL(4,q)/GL(2,q^2)$
RIMS研究集会「符号・格子・頂点作用素代数と有限群」 2001/02/21
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On some relationships among the association schemes of finite orthogonal groups acting on hyperplanes International-presentation
Com<SUP>2</SUP>MaC Conference on Association Schemes, Codes and Designs 2000/07/06
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On some relationships among the association schemes of finite orthogonal groups acting on hyperplanes
17回代数的組合せ論シンポジウム 2000/06/21
Research Projects 9
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Developments of research on graphs by representations of noncommutative algebras
Hajime Tanaka
Offer Organization: Japan Society for the Promotion of Science
System: Grants-in-Aid for Scientific Research
Category: Grant-in-Aid for Scientific Research (C)
Institution: Tohoku University
2023/04 - 2026/03
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代数的組合せ論及びその諸分野との連携 Competitive
田中 太初
Offer Organization: 日本学術振興会
System: 科学研究費助成事業 基盤研究(C)
Category: 基盤研究(C)
Institution: 東北大学
2020/04 - 2023/03
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Quantum probability and asymptotic analysis of large finite systems Competitive
Nobuaki Obata, Akihito Hora, Hajime Tanaka
Offer Organization: Japan Society for the Promotion of Science
System: Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
Category: Grant-in-Aid for Scientific Research (B)
Institution: Tohoku University
2019/04 - 2023/03
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Development of the algebraic study of graphs Competitive
Hajime Tanaka
Offer Organization: Japan Society for the Promotion of Science
System: Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
Category: Grant-in-Aid for Scientific Research (C)
Institution: Tohoku University
2017/04 - 2020/03
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A comprehensive study of combinatorial objects by algebraic methods Competitive
Hajime Tanaka
Offer Organization: Japan Society for the Promotion of Science
System: Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)
Category: Grant-in-Aid for Scientific Research (C)
Institution: Tohoku University
2013/04 - 2017/03
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Representations of association schemes and their applications Competitive
Hajime Tanaka
Offer Organization: Japan Society for the Promotion of Science
System: Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B)
Category: Grant-in-Aid for Young Scientists (B)
Institution: Tohoku University
2011/04 - 2013/03
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Algebraic theory of codes and designs based on the Terwilliger algebra Competitive
Hajime Tanaka
Offer Organization: Japan Society for the Promotion of Science
System: Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B)
Category: Grant-in-Aid for Young Scientists (B)
Institution: Tohoku University
2008/04 - 2011/03
-
アソシエーションスキームの指標表と他変数直交多項式 Competitive
田中 太初
Offer Organization: 日本学術振興会
System: 科学研究費助成事業 特別研究員奨励費
Category: 特別研究員奨励費
Institution: 東北大学
2004/04 - 2007/03
-
可移置換群より構成される種々のアソシエーションスキームの指標表に於ける相互関係 Competitive
田中 太初
Offer Organization: 日本学術振興会
System: 科学研究費助成事業 特別研究員奨励費
Category: 特別研究員奨励費
Institution: 九州大学
2001/04 - 2004/03