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Algorithms for computing greatest common divisors of parametric multivariate polynomials 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2021, 卷号: 102, 页码: 3-20
作者:  Kapur, Deepak;  Lu, Dong;  Monagan, Michael;  Sun, Yao;  Wang, Dingkang
收藏  |  浏览/下载:250/0  |  提交时间:2020/09/23
Parametric multivariate polynomials  Gcd system  Minimal comprehensive Grobner system  Ideal intersection  Ideal quotient  
Computing real radicals and S-radicals of polynomial systems 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2021, 卷号: 102, 页码: 259-278
作者:  El Din, Mohab Safey;  Yang, Zhi-Hong;  Zhi, Lihong
收藏  |  浏览/下载:291/0  |  提交时间:2020/09/23
Polynomial system  Real radical  S-radical ideal  Semi-algebraic set  Real algebraic geometry  
Isotopic Meshing of a Real Algebraic Space Curve 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 卷号: 33, 期号: 4, 页码: 1275-1296
作者:  Jin, Kai;  Cheng, Jinsan
收藏  |  浏览/下载:125/0  |  提交时间:2020/09/23
Algebraic space curve  topology  weak generic position  
Quantum QR decomposition in the computational basis 期刊论文
QUANTUM INFORMATION PROCESSING, 2020, 卷号: 19, 期号: 8, 页码: 16
作者:  Ma, Guangsheng;  Li, Hongbo;  Zhao, Jiman
收藏  |  浏览/下载:136/0  |  提交时间:2020/09/23
Quantum algorithms  Computational basis  Quantum QR decomposition  
Higher-order normal approximation approach for highly reliable system assessment 期刊论文
IISE TRANSACTIONS, 2019, 页码: 13
作者:  Li, Zhaohui;  Yu, Dan;  Liu, Jian;  Hu, Qingpei
收藏  |  浏览/下载:180/0  |  提交时间:2020/01/10
System reliability assessment  highly reliable system  Winterbottom-extended Cornish-Fisher expansion  reliability-based expansion  log-location-scale family  
Complete permutation polynomials with the form (x(pm)- x plus delta)(s) + ax(pm) + bx over F-pn 期刊论文
FINITE FIELDS AND THEIR APPLICATIONS, 2019, 卷号: 57, 页码: 309-343
作者:  Xu, Xiaofang;  Feng, Xiutao;  Zeng, Xiangyong
收藏  |  浏览/下载:146/0  |  提交时间:2020/01/10
Complete permutation polynomial  Permutation polynomial  AGW criterion  Finite field  
A Survey on Algorithms for Computing Comprehensive Grobner Systems and Comprehensive Grobner Bases 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2019, 卷号: 32, 期号: 1, 页码: 234-255
作者:  Lu Dong;  Sun Yao;  Wang Dingkang
收藏  |  浏览/下载:160/0  |  提交时间:2019/04/02
Comprehensive Grobner basis  comprehensive Grobner system  discovering geometric theorems mechanically  parametric polynomial system  quantifier elimination  
Global Optimization of Polynomials over Real Algebraic Sets 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2019, 卷号: 32, 期号: 1, 页码: 158-184
作者:  Wang Chu;  Yang Zhi-Hong;  Zhi Lihong
收藏  |  浏览/下载:142/0  |  提交时间:2019/04/02
Polynomial optimization  real algebraic set  generalized critical value  
A polynomial-time algorithm to compute generalized Hermite normal forms of matrices over Z[x] 期刊论文
THEORETICAL COMPUTER SCIENCE, 2019, 卷号: 755, 页码: 89-109
作者:  Jing, Rui-Juan;  Yuan, Chun-Ming;  Gao, Xiao-Shan
收藏  |  浏览/下载:162/0  |  提交时间:2019/03/05
Generalized Hermite normal form  Grobner basis  Polynomial-time algorithm  Z[x] module  
A much better replacement of the Michaelis-Menten equation and its application 期刊论文
INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2019, 卷号: 12, 期号: 1, 页码: 22
作者:  Li, Banghe;  Li, Bo;  Shen, Yuefeng
收藏  |  浏览/下载:159/0  |  提交时间:2019/03/11
Rate constants of enzyme kinetics  quasi-steady-state assumption  quasi-steady-state law