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Nonnegative Polynomials and Circuit Polynomials 期刊论文
SIAM JOURNAL ON APPLIED ALGEBRA AND GEOMETRY, 2022, 卷号: 6, 期号: 2, 页码: 111-133
Authors:  Wang, Jie
Favorite  |  View/Download:11/0  |  Submit date:2022/06/21
nonnegative polynomial  sum of nonnegative circuit polynomials  SONC  certificate of nonnegativity  sum of squares  SAGE  
Algorithms yield upper bounds in differential algebra 期刊论文
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2021, 页码: 23
Authors:  Li, Wei;  Ovchinnikov, Alexey;  Pogudin, Gleb;  Scanlon, Thomas
Favorite  |  View/Download:33/0  |  Submit date:2022/04/02
delay PDEs  elimination of unknowns  uniform bounds  oracle machine  
Conformal oscillator representations of orthosymplectic Lie superalgebras 期刊论文
JOURNAL OF PURE AND APPLIED ALGEBRA, 2021, 卷号: 225, 期号: 3, 页码: 24
Authors:  Xu, Xiaoping
Favorite  |  View/Download:80/0  |  Submit date:2021/01/14
Orthosymplectic Lie superalgebra  Supersymmetric differential operator  Oscillator representation  Irreducible module  Polynomial algebra  Exponential-polynomial function  
On factor left prime factorization problems for multivariate polynomial matrices 期刊论文
MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2021, 页码: 18
Authors:  Lu, Dong;  Wang, Dingkang;  Xiao, Fanghui
Favorite  |  View/Download:58/0  |  Submit date:2021/04/26
Multivariate polynomial matrices  Matrix factorizations  Factor left prime (FLP)  Column reduced minors  Free modules  
Solving Multivariate Polynomial Matrix Diophantine Equations with Grobner Basis Method 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2021, 页码: 14
Authors:  Xiao Fanghui;  Lu Dong;  Wang Dingkang
Favorite  |  View/Download:48/0  |  Submit date:2021/04/26
Grö  bner basis  matrix Diophantine equation  module  multivariate polynomial  
An Improvement of the Rational Representation for High-Dimensional Systems 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 页码: 18
Authors:  Xiao, Fanghui;  Lu, Dong;  Ma, Xiaodong;  Wang, Dingkang
Favorite  |  View/Download:61/0  |  Submit date:2021/01/14
Comprehensive Grobner systems  high-dimensional polynomial system  rational representation  rational univariate representation  
Projective oscillator representations of sl (n+1 vertical bar m) and osp(m vertical bar n+1) 期刊论文
COMMUNICATIONS IN ALGEBRA, 2020, 页码: 27
Authors:  Chen, Ling;  Xu, Xiaoping
Favorite  |  View/Download:65/0  |  Submit date:2021/01/14
Irreducible module  ortho-symplectic Lie superalgebra  oscillator representation  special linear Lie superalgebra  supersymmetric exponential-polynomial function  supersymmetric polynomial algebra  
Partial differential Chow forms and a type of partial differential Chow varieties 期刊论文
COMMUNICATIONS IN ALGEBRA, 2020, 页码: 30
Authors:  Li, Wei
Favorite  |  View/Download:74/0  |  Submit date:2020/05/24
Kolchin polynomial  partial differential Chow form  partial differential Chow variety  quasi-generic differential intersection theory  
Motivic multiple zeta values relative to mu(2) 期刊论文
ALGEBRA & NUMBER THEORY, 2020, 卷号: 14, 期号: 10, 页码: 2685-2712
Authors:  Jin, Zhongyu;  Li, Jiangtao
Favorite  |  View/Download:66/0  |  Submit date:2021/01/14
multiple zeta values  period polynomial  mixed Tate motives  
Erdos-Ginzburg-Ziv theorem and Noether number for C-m proportional to(phi) C-mn 期刊论文
JOURNAL OF NUMBER THEORY, 2019, 卷号: 198, 页码: 159-175
Authors:  Han, Dongchun;  Zhang, Hanbin
Favorite  |  View/Download:153/0  |  Submit date:2019/03/11
Zero-sum theory  Davenport constant  Erdos-Ginzburg-Ziv theorem  Noether number