多项式方程

Igusa's p-adic zeta function is associated to a polynomial f in several variables over the integers and to a prime p. It is a meromorphic function which encodes for every i the number of solutions M_i of f=0 modulo p^i.

在探究利用辐射型基底函数去解超奇异积分方程的数值解，我们选择了多重二次曲面函数和薄板型云线以及李纳德多项式去估计我们的解。

In this paper, we discuss the number of the orthonormal set of exponential function in other cases. And we prove that either isn't a root of a equation of "odd" type or is even, any orthonormal set of exponential function in has at most two elements, where is the minimal primitives polynomial for.

本文讨论当ρ为其余情形时，指数型正交序列集中元素个数，证明了当ρ^(-1)不是奇数型方程的根或者其本原最小多项式g满足g为奇数时，则L^2中任何指数型正交集至多含有两个元素。

In Chapter 3,a hybrid adaptive CGNR algorithm based on the normal equationand polynomial preconditioning is derived.

第三章提出了一个基于法方程和多项式预条件的自适应混合CGNR算法。

By introducing the general notion of nonwandering operator semigroup T and utilizing a basic result in normed linear space,the nonwandering property of T=e~ is investigated with the constructive method.

通过给出一般算子半群T的非游荡性概念，利用赋范空间的一个基本结果和直接的构造法证明了具有变系数的线性发展方程的强连续解半群T=etA在适当的条件下是非游荡的；另外，通过对C-半群T概念的引进，定义了一个无界算子半群etA，进一步证明了这二者关于非游荡性的联系；最后给出了一个无界算子半群etP关于非游荡性理论的刻画，其中P是微分多项式。

In this project,we primarily investigated the growth of solutions of some types of differential equations,and the hyper order,the exponents of convergence of zeros and fixed points of solutions with infinite order, especially, expononts of convergence of fixed points of first, second order derivatives and differential polynomials of solutions.

中文摘要：在本项目中，重点研究了几种类型的微分方程解的增长性，及无穷级解的超级，零点收敛指数，不动点收敛指数，特别是解的一阶，二阶导数及微分多项式的不动点收敛指数。

It is antinomy to analysis factor effects according to first and second order term index of quadratic polynomial,so this paper put forward a new method to explain and evaluate factor effect by F test based on partial regression sum of squares.

传统的二次多项式回归方程在依系数正负、大小解释各因子效应时，常出现一次项与二次项结果相互矛盾的情形，而一般的SVR模型又不具解释性；本文从偏回归分析定义出发，建立了基于SVR以F测验解释、评价各因子相对重要性的方法。

When these coefficients are quadratic functions of the porosity, specific constituent orthogonal weighting coefficients are derived from these orthogonal conditions along with a discussion about how to extend the applicable range of the constituent orthogonal weighting coefficients in the orthogonal coordinates. Based on the combination of the theory of critical porosity and the constituent model, it presents a specific example of the constituent model that includes two transforming points. The reasonability of above-mentioned theories is shown by comparison of theoretical calculations and measured data on effective elastic moduli of clean sandstone or sandstone analogs saturated with pure water.

再次，结合弹性模量组分关系方程与正交基函数理论，推导组分加权系数的正交条件；基于正交条件，提出组分加权系数为孔隙度二次多项式时正交组分加权系数的构造方法以及正交组分加权系数适用范围的拓展方法；结合临界孔隙度理论，提出一个基于两个状态分界点的组分模型实例；比较组分模型的计算结果与前人关于砂岩弹性模量的实验结果，证明了组分孔隙介质模型理论的合理性。

In order to reduce these shortcomings, on the basis of enriched polynomial basis functions, weighted orthogonal basis functions are used to obtain the MLS approximation by using a Schmidt orthogonalization. In the end, the improved LBIE method for elasticity fracture is proposed.

为了改善这些不足，本文在扩展的多项式基函数的基础上，利用Schmidt正交化方法构造带权的正交基函数，建立了断裂力学的改进的局部边界积分方程方法。

Hallen type equations combined with almost entire domain polynomial representation of current distribution function are selected to attack the simulation, analysis and comparison of electromagnetic performance of the antenna array under different design parameters.

就高频地波雷达海洋环境监测的一种新颖宽窄波束、软硬件技术相结合的收发共用相控天线阵的设计，选用将Hallen方程与电流分布函数的殆全域多项式展开相结合的矩量法，分析比较了相控天线阵在不同设计参数下的电磁性能，重点分析了互耦的影响以及实施"收发共用"对阻抗匹配的苛刻要求和现有设计在该问题上的技术缺陷，得到了关于该天线阵工程设计的若干结论。

In this paper, a three-dimensional reaction-diffusion equation with a polynomial nonlinearity that possesses a global attractor is considered.

本文考虑具有整体吸引子的一类带有多项式非线性项的三维反应扩散方程。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。