多项式代数

代数AQ叫做量子多项式代数。

The algebra AQ is called a quantum polynomial algebra .

令C[t，t~（-1）]为复数域C上的Laurent多项式代数，（？）

Let C [ t , t ~ ( - 1 ) ] be the algebra of Laurent polynomials over the complex numbers field , and (?)

李三系与Laurent多项式代数F[t，t~（-1）]

Lie triple systems associated with laurent-polynomial algebra f [ t , t ~ ( - 1 ) ]

关于标准分层代数的多项式代数的滤链维数

On the Filtration Dimension of the Polynomial Algebras of Standardly Stratified Algebras

多项式代数的一类新的试验多项式

A Class of New Test Polynomials of Polynomial Algebra

可解多项式代数与它在阶滤子下两种分次代数的关系

Relationship between solvable polynomial algebra and its two kinds of graded algebra under order filtration

多项式代数及其应用

Polynomial Algebra and Its Applications

该奇异位形判别式为一多项式代数方程，在推导过程中引入数值-符号处理技术，得到了多项式代数方程中每一系数的数值-符号形式的解析表达式。

An analytical expression for determining singularity configuration which is a polynomial equation is set , and the numeric symbolic manipulating technique is introduced in the paper .

它在各种各样的计算机系统上运行，尤其擅长于涉及任意长度整数和小数、图、矩阵和多项式代数的算术。

It runs on a variety of computer systems and is especially good at arithmetic involving arbitrary-length integers and fractions , graphics , and matrix and polynomial algebra .

而在遵循S盒设计规则的同时，从多项式代数表出次数、相对于完全随机的优势度、线性偏差概率、非线性偏差概率等方面加以描述是必要的过程。

The provable security of s-box for block cipher should include polynomial of its algebraic degree , the advantage for relative randomness , linear probability and nonlinear probability .

基于误差方程多项式代数法的自适应控制设计理论，其基本思想是使自适应控制误差随时间的推移而趋向于零，它是确保所构成的自适应控制系统在李雅普诺夫意义下是稳定的。

The main idea of adaptive control design theory based on the error polynomial algebra is to make the adaptive control error incline to zero as time passed .

Loop代数的多项式李子代数

The polynomial Lie subalgebras of loop Algebras

在第三章，研究广义Fibonacci多项式的代数性质，包括广义Fibonacci多项式的系数组成的矩阵的性质；广义Fibonacci多项式系数的组合意义；

In the third chapter , we study the algebraic properties of generalized Fibonacci polynomials , including the properties of matrices composed of their coefficients , the combinatorial meanings of their coefficients and the convolution summation formulas of generalized Fibonacci polynomials of the general type .

多项式模代数在多值逻辑系统中的适应性

Adaptability of Polynomial modulo Algebras in Multiple valued Logical System

基于多项式符号代数的数据通路模型

Research of date access model based on the polynomial algebra

多项式矩阵代数性质讨论

The Discussion on Algebraic Properties of Polynomial Matrices

本文研究基于多项式符号代数理论的形式化验证方法。

This paper gives the study of polynomial symbolic algebraic theory in formal verification method .

然而，等时中心问题的研究迄今还没有一个成熟的方法，并且，由于其中涉及大量多元多项式的代数簇计算，计算机的计算能力也限制着此问题的发展。

However , there is no general method to investigate the problem of isochronous centers and the computation power of computers restricts the development of this problem because many computations are involved .

该方法基于信号自相关估计将信号的特征空间划分成信号子空间与噪声子空间，根据这两个子空间正交的原理构建特征多项式和代数方程组，从而计算出各种谐波分量的频率和幅值。

Based on the signal auto-relation matrix the PHD method divides the eigen-space partition into signal subspace and noise subspace and according to the principle that the two subspaces are orthogonal the eigenpolynomial and algebraic equations are constructed to obtain frequency and amplitude of each order of harmonics respectively .

数学上它们都是由双变量多项式定义的代数函数在Riemann曲面上的特定图形轨迹。

Mathematically they are certain plots on Riemann surface of algebraic function defined by two variable polynomial .

多项式角动量代数的代数表示及实现

Algebraic representations of polynomial angular momentum algebra and Its realizations

1次+3次平面多项式系统的代数分类

The Algebraic Classification of a Class of Degree 1 + Degree 3 Polynomial System

先用组合方法阐述，然后从多项式定理利用代数方法推导。

First interpret it combinatorially , and then derive it algebraically from the multinomial theorem .

最后求出多项式角动量代数的单玻色实现及其在有限维多项式函数空间的微分实现。

At last the deformed algebra 's single boson operator realization and one differential realization under finite_dimensional spaces are deduced .

设计了可实时计算的高斯图闭域包含测试算法，通过引入二分法改造多项式包含测试代数算法，实现快速查找。

We designed the algorithm which can perform the closed domain inclusion test in real time , realized quick search in the algebraic inclusion test algorithm by transforming polynomials with dichotomy .

整体协调条件可以看作一个以各内网线上光滑余因子为未知数的有着多项式系数的代数方程组，而这个代数方程组的所有解构成了多项式环R[x，y]上的素模。

The global conformality condition can be regarded as a homogeneous algebraic system of linear equations with the unknowns of the smoothing cofactors , and its solutions form a prime module over R [ x , y ] .

一类三次多项式微分系统的代数分类及其应用

Algebraic Classification of a Kind of Cubic Polynomial System and Its Applications

多项式与一类代数数域域元素的判别式的闭形式

Closed Form of Discriminants about Elements of Some Type of Algebra Fields and Polynomials

多项式稳定性判据对代数方程求根的应用及其数值试验

Application of the criterion of polynomial stability to finding the roots of an algebraic equation and its numerical test

给出了一类新的试验多项式，可识别多项式代数的非线性自同构。

We can distinguish nonlinear automorphism of polynomials algebra by using the test polynomials .