对称多项式

初等对称多项式的多项式表出的三类对称多项式

Three Kinds of Symmetric Polynomial Expressed by the Elementary Symmetric Polynomial

对称多项式空间的讨论

The Symmetric Polynomial Space

该方案利用对称多项式矩阵的LU分解特性，保证任意一对节点间都有共享多项式，同时实现了节点到节点的多重认证。

This scheme makes use of LU symmetrical polynomial matrix to guarantee that there is at least one shared polynomial between any pair of nodes .

讨论了矩阵的广义迹的一些性质及其递归计算法，其中的一个主要结果如下：矩阵的k阶广义迹等于矩阵的全体特征根的k次初等对称多项式。

The main of all the results is as follows , the k order generalized trace of a matrix is equal to the elementary symmetrical polynomial of degree k in all eigenvalues of the matrix .

讨论了与Hessian阵本征值函数有关的非线性椭圆型方程.作为应用，对n维Minkowski空间中预定主曲率对称多项式的类空超曲面方程的Dirichlet型问题给出了解的存在性。

The author discussed a sort of the fully nonlinear second order elliptic equations about the function of eigenvalues of Hessian matrix . Finally , as an application , the Dirichlet problem of spacelike hypersurfaces with prescribed function of principal curvatures in n - Minkowski space is established and solved .

四元六次对称多项式不等式探讨

A Research on Inequalities for Symmetric Six-time Polynomial in Four Variables

本文给出了几个关于初等对称多项式的不等式。

In this paper we give some inequalities of elementary symmetrical polynomial .

对称多项式与初等概率计算初等概率论中的收敛性注记

Application of Symmetrical Polynomial in Elementary Theory of Probability

对四元六次对称多项式不等式的分拆进行了初步探讨；

Partitions of inequalities for symmetric six-time polynomial in four variables are introduced .

关于初等对称多项式的几个不等式

Several inequalities on elementary symmetrical polynomial

齐次对称多项式的分解原理与方差平均不等式猜想

The Factoring Principle of Homogeneous and Symmetric Polynomials and a Conjecture for Inequality of Variance Mean

对称多项式的因式分解

Factorization of Symmetric Polynomials

本文将用初等的方法，建立几个关于初等对称多项式的不等式。

A few of inequalities about elementary symmetrical polynomial will be established in the following in an elementary way .

用拉紧法去除路径的冗余节点并用极坐标下对称多项式优化出圆滑的最优路径。

The redundant points are eliminated using the tensing method and the smooth optimized path is gained using the symmetric polynomials in polar .

证明多元对称多项式不等式的生成法和这种方法下的生成运算；

In this article , the generating method of proving symmetrical multinomial inequality in n variables and the generating operation under the same method are proposed .

其次，在基于对称多项式的密钥预分配方案的基础上，提出了基于对称多项式和单向哈希链的密钥预分配方案，有效地解决了节点被捕获的问题，增强了网络的抗毁性。

Secondly , under the polynomial-based key pre-distribution scheme , a novel key pre-distribution scheme is proposed based on bivariate polynomial and one-way hash chain , it can solve the sensor nodes compromised effectively and enhance the security .

利用椭园型偏微分方程极值原理和对称多项式这两种数学工具，解决了三分量Bech-er齐次模型（Ⅲ），（Ⅱ）和（Ⅰ）的参数估计的A-最优设计。

By means of two mathematical tools , i. e. the extremum principle of elliptic-type partial differential equation and the symmetrical polynomial , we have solved the A-optimal designs of parameter estimate for 3-component Becker 's homogeneous models (ⅲ) . (ⅱ) and (ⅰ) .

基于对称极多项式曲线的移动机器人平滑路径生成

Smooth Path Generation for Mobile Robots Based on Symmetrical Polar Polynomials

本文根据薄壳的经典理论，导出了在受有轴对称的多项式温度分布条件下，圆柱壳的位移、内力和热应力的理论公式。

This papar presents theoretical formulas of deflections internal stresses and thermal stresses in cylindrical shells subjected to axisymmetrical temperature distributions .

在编码器中，采用系数对称的生成多项式，减少了迦罗华域（GF）乘法器的个数。

A symmetric generator polynomial was applied , and the number of Galois-field ( GF ) multiplications was reduced in the encoder .

在这些方案中，不直接分发共享密钥，而分发可计算共享密钥的有限域GF（q）上的对称二元多项式给节点。

In our schemes , instead of pre-distributing pairwise keys directly , we pre-distribute symmetric bivariate polynomial over GF ( q ) to sensor nodes , which can help nodes compute the pairwise keys .

与Haralick对称区域正交多项式曲面小片拟合方法不同，NURBS曲面拟合克服了Haralick方法对图像区域划分和灰度平稳的限制，且不再需要窗口区域对称。

Different from Haralick 's facet fitting method , this method is based on the NURBS surface fitting and overcomes the limitation of Haralick 's method .

通过研究对称二元多项式门限秘密共享，提出了一种全分布式Ad-hoc密钥管理方案。

And it gived a user key online periodically update mechanism to achieve the key dynamic management . ( 2 ) After studying the secret sharing techniques based on symmetric bi-variate polynomial , a fully decentralized Ad-hoc network key management scheme was proposed .

该协议采用一个t次对称二元多项式来构建所有传感器节点对之间的共享密钥。

A symmetric bivariate polynomial of degree t is used and its shares are distributed among the parties in this scheme to construct shared keys .

偏微分方程组的Lie群与高阶对称群的Taylor多项式逐步精化算法

Taylor Polynomial Stepwise Refinement Algorithm for Lie and High Symmetries of Partial Differential Equations

关于（0&1）对称矩阵的特征多项式和特征值

On the Characteristic Polynomial and Eigenvalues of a ( 0-1 ) Symmetric Matrix

采用了具有对称系数的生成多项式，减少了有限域乘法器的个数。

This encoder has adopted symmetrical coefficients in order to reduce the multipliers of finite field .

该算法利用这组新的递推关系，提出了分别适用于对称和反对称多项式的算法。

By using these new recursive relations , we establish the new algorithm in the form of both symmetric and antisymmetric polynomials .