The notion of partitioned-parametric Grobner bases of a polynomial ideal with parameters is introduced and an algorithm for constructing the partitioned-parametric Grobner bases is given, the correctness and the termination of the algorithm are also proved.
对于含参数的多项式理想,提出了分区参数Grbner基的概念,并且给出了一个计算分区参数Grbner基的算法,证明了该算法的正确性和终止性。
In this paper, a new method of testing Hamilton path is given in simple digraph, via Grbner basis and polynomial ideal, which is simple, efficient and can be easily realized by mathematic software, such as Maple.
通过应用多项式理想理论和Gr bner基方法 ,得出了判断简单图中是否存在哈密顿道路的一种新方法 ,该方法简单、易懂 ,且用数学软件Maple实施起来也非常容
Many important problems in polynomial rings can be reduced to the study of monomial ideals.
单纯复形是与单项式理想间存在着一一对应的关系,且单纯复形的链复形间的映射是边缘算子,根据这种算子,我们试图给出一种更广泛的微分算子来研究多元多项式理想,并且通过该算子将单项式理想的复形与同调的相关结论推广到多元多项式理想。
Through the inquiry into the ranks of coprime polynomial matrices,this paper draws a conclusion: Theorem Let f(x),g(x)∈P?眼x?演 and A∈P n×n,if(f(x),g(x))=1,then n+r?眼f(A)g(A)?演=r(f(A))+r(g(A)).
本文给出了互素多项式在矩阵的秩讨论中的一个简单结果:定理:设f(x),g(x)∈P[x],A是n阶方阵,若(f(x),g(x))=1,则n+r[f(A)g(A)]=r(f(A))+r(g(A))。
The direct sum decomposition of the addition of a linear transformation under the coprime polynomial was given,and it was used in the proof of some equality about the rank of idempotent matrix.
给出了两两互素多项式下线性变换的核的直和分解,并应用于幂等矩阵(对合矩阵)的秩的等式证明中。
The Direct Sum Decomposition of the Addition of a Linear Transformation under the Coprime Polynomial and Its Application;
线性变换在互素多项式下核的直和分解及应用
A Conclusion and Application of the Ranks of Coprime Polynomial Matrices;
互素多项式矩阵的秩的一个简单结论及其应用
Analysis on accuracy factors of multi-source remote sensing image registration by polynomial model
多源遥感影像多项式配准精度影响因素分析
RESULTS AND PROBLEMS FOR PRIME FACTORIZATIONS MULTIVARIATE POLYNOMIAL MATRICES
多变量多项式矩阵素分解的结果和问题
Gr(?)bner Bases and Primary Decomposition of Ideals and Polynomial Composition
Gr(?)bner基与理想的准素分解及多项式复合
Square Root Algorithm of the Element in Quotient Ring of Rational Coefficient Polynomial Ring
有理系数多项式环的商环中元素的平方根算法
EXISTENCE DETERMINATION AND SOLUTIONG OF THE POLYNOMIAL INVERSE IN REPEAT MODULE POLYNOMIAL RING
重模多项式环中逆元素的存在性判断及求法
Identical Equation of Bernoulli Multinomial and Eurler Multinomial;
有关Bernoulli多项式和Eurler多项式的恒等式
Some Identities on Genocchi Polynomials and Bernoulli Polynomials
关于Genocchi多项式与Bernoulli多项式的恒等式
Multinomial L-regression Analysis on Factors Influencing Elderly-care in Rural Area
农村中青年养老方式影响因素的多项式Logistic回归分析
An expression of two or more terms.
多项式含两个或更多项的一个表达式
Research on Polynomial Functions and Permutation Polynomials;
关于多项式函数与置换多项式的研究
Some properties on the generalized Euler and Bernoulli polynomials;
推广的Euler多项式与Bernoulli多项式的性质
Polynomial Interpolation Based on an Improved Sub-pixel Method of Thickness Measurement of Cable Sheath Material
基于改进的多项式插值亚像素法电缆护套材料厚度测量
Some Identities Involving Bernoulli Polynomials and Euler Polynomials
关于贝努利多项式与欧拉多项式的几个恒等式
compound journal entry
贷借方多项分录式，分项分录式日记帐
Sum of Products of Chebyshev-Gegenbauer L Lengendre Polynomials;
一类包含契贝谢夫多项式—盖根堡多项式—勒让德多项式的积的和
Three Kinds of Symmetric Polynomial Expressed by the Elementary Symmetric Polynomial;
初等对称多项式的多项式表出的三类对称多项式