In this paper, the concepts of the least common multiple of polynomial matrices and the prime polynomial matrix are introduced, and some algebraic properties of the greatest common divisor and of the least common multiple of polynomial matrices are given.
讨论了多项式矩阵最大公因子与最小公倍的有关性质,同时给出了多项式矩阵的分解定理。
The algorithms of basic operations for large integer,addition,subtraction and comparison,are presented based on mixed radix representation,the algorithms of multiplication,division,modulo,and greatest common divisor are conveyed from addition machins.
将大数采用混合基表示,对大数的加法、减法与比较运算给出相应的算法,并对加法机器上的乘法、除法、模运算以及求最大公因子的算法进行了移
In this paper,an algorithm,which is called the extended Euclidean algorithm,is derived such that x and y can be simultaneously computed when the greatest common divisor ( a,b ) is computed by the Euclidean algorithm.
给出一种算法使得在用辗转互除计算最大公因子 (a,b)的同时能够计算出 x和 y来 。
A united method for greatest common factor and least common multiple in euclidean ring;
欧氏环中最大公因子与最小公倍子的统一求法
A new method to solve the greatest common factor of several polymerizations on polymerization ring is introduced.
介绍了一种P[x]上的多项式组最大公因子的求法 。
This paper gives a method that through elementary transformming the row of the matrix, the greatest common factor of the Euclidean Ring s factors can be found.
给出了利用矩阵的初等行变换求欧氏环中多个元素的最大公因子的方法。
A theorem for any A∈M 2Z (M 2Z is the ring of all integral 2×2 matrices) and any integer m and n , there are X, Y∈M 2Z such that A=X+Y and det X=m , det Y=n if and only if ( m-n ) is divisible by the maximal common factor of all elements of A is proved.
证明了一个定理:对任意的A∈M2Z(M2Z表示所有的2阶整数方阵组成的环)和任意的整数m和n,则存在X,Y∈M2Z,使A=X+Y且detX=m,detY=n的充分必要条件是矩阵A的所有元素的最大公因子能整除(m-n)。
Offers the concept of right greatest common divisor of two matrices over an Euclidean ring and expression,and considrs its some properties.
给出一个Euclid环上两个矩阵的右最大公因子的概念及其表示式 ,并讨论了其性质 。
On Power LCM Matrices and LCM Equation on Gcd-closed Sets;
最大公因子封闭集上的幂LCM矩阵和LCM方程
Structure of the GCD Matrix on Direct Product of the Positive Integers
基于正整数直积上最大公因子矩阵结构的探讨
This paper gives a method that through elementary transformming the row of the matrix, the greatest common factor of the Euclidean Ring' s factors can be found.
给出了利用矩阵的初等行变换求欧氏环中多个元素的最大公因子的方法。
A Matrix Method for Greatest Common Factor and Least Common Multiple;
最大公因数与最小公倍数的矩阵求法
Relation Between the Greatest Common Factor of the λ-Matrix and Invariant Factor and the Greatest Common Factor's Properties
λ—矩阵的最大公因式与不变因子间的关系及其性质
The Maximum of g-Factor of Atom State of The Same Electron s Configuration;
同一电子组态原子态g因子的最大值
The largest brain possessed by any dinosaur weighed about a kilogram.
最大的恐龙脑子大约有一公斤重。
Decreases Technique,not the Algorithm of Asking for the Maximum Common Divisor;
“更相减损术”不是求最大公因数的算法
Several Solutions to the Greatest Common Divisor of Polynomial of One Indeterminate;
一元多项式的最大公因式的几种求法
Thus we gave a kind of new method for solving the greatest common factor of two-variable polynomials.
给出一种求解二元多项式最大公因式的新方法。
because we are one of the largest steel importers in China.
因为我们公司是中国最大的钢材进口商之一。
The Seeking Unified Method of the Greatest Common Factor and Coefficients Polynomial;
最大公因式及其系数多项式的统一求法
On the Determination of the Biggest Common Factor of the Two Polynomials in the Scope of Rational Numbers;
有理数域上两个多项式的最大公因式的确定
SEARCH OUT THE GREATEST COMMON DIVISOR OF A GROUP OF INTEGERS AND ITS COMBINATION BY MATRIX ELEMENTARY OPERATIONS;
用矩阵初等变换求最大公因数及组合的方法
The C Language Programing for Extracting the Maximum Common Factor of A polynomial;
求多项式最大公因式的C语言编程处理
Of the six companies operating in the park, the largest is Daqing Lianhua, a PetroChina subsidiary.
在园区的六家公司中,中石油的子公司——大庆炼化是最大的。
Analysis of the Four Schools in the Development of the Subsidiary of the Transnational Corporations;
跨国公司子公司发展中四大流派理论成因分析
Emergency decision-making knowledge matching based on greatest common subcategory
基于最大公约子范畴的应急决策知识匹配研究
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