介绍了线性变换作用向量的化零多项式与最小多项式的概念，并讨论了它们的性质。
This paper describes the matrix structure and geometric properties of planar linear transformations, based on homogeneous coordinates.
这样二次型就包含了零多项式，从而解决了把零多项式排除在二次型外带来的二次型理论中的某些矛盾现象。
As a result, the quadratic form will contain zero - polynomial so that some contradictions in theory on quadratic form caused by excluding zero-polynomial from quadratic form is eliminated.
本文讨论了具有一个零特征根的非线性齐次系统的局部拓扑结构，并给出利用系统右端多项式系数的判断准则。
In this paper, we discuss the locally topological structures of nonlinear homogeneous systems with one zero characteristic root, and give a criteria by the right-hand polynomial coefficients.
杨等人根据零知识证明，结合多项式的性质提出了一种动态群签名方案，并且在其论文中证明该方案具有安全性。
According to zero-knowledge proof, combined with the nature of polynomials Some people proposed a dynamic group signature scheme, and in their paper show that the scheme is secure.
通过构造多项式序列的方法，建立了非线性时滞方程的解的零点分布，给出了较为广泛的振动条件。
The distribution of zeros for nonlinear differential equations with positive arguments by method of polynomial series, and some more explicit conditions to oscillate are given.
本文给出一类适合于求解多项式实零点问题的神经网络。理论分析和模拟结果都表明，这类网络可实时求解多项式实零点问题。
A neural network model for computing real zeros of polynomials is presented. Both the mathematical analysis and the experimental results show that the proposed network is effective.
至于实零点多项式的研究，更是数学本身的基本问题之一。
Polynomials with only real zeros are also a basic problem in combinatorics.
本文给出一种求任意有限个不全为零的多项式的最大公因式的方法。
This paper gives to seek a kind of method of highest common factor of polynomialS that wilfully finite ones are not complete zeroes.
由传输零点构成的多项式的综合。
Synthesis the transfer function polynomial and reflection function polynomial.
给出矩形域上弱奇异积分算子本征值问题分片零次多项式配置法的后验误差估计式。
The posteriori error estimators in the collocation method for integral equation eigenvalue problem with a weakly singular kernel are presented.
对广义罗尔定理进行了证明，并应用广义罗尔定理讨论了勒让德多项式的零点。
This paper demonstrates the generalized Rolle theorem and discussed the zero of Legendre polynomials.
试验数据分析表明，测站钟差经一阶多项式拟合后的残差可近似为零均值的测量噪声；
The experiment data analysis results show that the clock residual error of monitor station after fitting by 1st order polynomial is approximately taken as noise with zero mean.
从演绎的内涵上将多项式零点问题的研究归结为对同一性多项式的结构，性质、与选择的研究。
So that, the studies on the zeros of polynomial can be looked upon as the studies on the constructions of polynomial identity structure, its properties and the way to pick them up.
基于非线性多项式方程的零点配对算法以及临界点算法，给出了一种求平面代数剖分样本点的改进算法。
Based on the critical point algorithm and zero-match algorithm, an improved algorithm for finding sample points of algebraic decomposition was proposed.
本文研究了组合学中实零点多项式的若干问题。
This thesis is devoted to the study of several problems on real-rooted polynomials in combinatorics.
第二章刻画了一类满足三项递归关系的实零点多项式序列的零点位置和零点重数的关系。
In the second chapter, we characterize the relations between locations and multiplicities of zeros of a sequence of real-rooted polynomials defined by a three-term recurrence relation.
第二章刻画了一类满足三项递归关系的实零点多项式序列的零点位置和零点重数的关系。
In the second chapter, we characterize the relations between locations and multiplicities of zeros of a sequence of real-rooted polynomials defined by a three-term recurrence relation.
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