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.
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.
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.
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.
由传输零点构成的多项式的综合。
Synthesis the transfer function polynomial and reflection function polynomial.
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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