查询词典 cauchy kernel

The calibrated curve of prism monochromator is traced out, and its function is obtained with the Origin software based on the normal Cauchy chromatic dispersion.

给出了棱镜单色仪定标曲线及其解析式确定的方法，并用 Origin软件算出定标曲线解析式。

The nonlinear magnetoelastic kinetic equations, the electrodynamics equations and the expressions of Lorentz force of thin current-carrying plate under the action of the coupled field are given. The normal Cauchy form nonlinear differential equations, which include ten basic unknown functions in all, are obtained by means of variable replacement.

该文在给出载流薄板在耦合场作用下的磁弹性非线性运动方程、电动力学方程和洛仑兹力表达式的基础上，通过变量代换将描述载流薄板的磁弹性状态方程整理成含有10个基本未知函数的标准柯西型。

In the first chapter, the one - to - one correspondence between mild solutions of an abstract deday equation and mild solutions of an associated abstract Cauchy problem is shown, and necessary and sufficient conditions for existence and uniqueness of mild solutions of the abstract delay equation are obtained.

全文共为三章，在第一章中，说明了抽象时滞方程的mild解与相应的抽象柯西问题的mild解一一对应，并且得到了抽象时滞方程的mild解存在唯一的充要条件。

Here mainly introduces five natures of the initial value problems, In several aspects summed up as the following : whether there are solutions to the problems, whether the only solution, the existence of solutions interval extent; Initial issues under what conditions have a solution--Cauchy - Piano existence theorem; how the district between the definition of a solution to open up a larger interval up; initial value problems for the sole condition --- Lipschitz conditions; 3、the numerical solution of the initial value problems of Ordinary Differential equations .

在这里主要介绍了初值问题的5个方面的性质，分别在这几个方面中总结了以下内容：初值问题是否有解，解是否惟1，解的存在区间有多大；初值问题在什么条件下有解----柯西-皮亚诺存在定理；怎样把在小区间上有定义的解开拓到较大的区间上去；初值问题解的惟1性条件---李普希茨条件；3：常微分方程初值问题的数值解法。

The Wielandt inequality is an improvement on the general Cauchy-Schwarz inequality, and its applications to statistics were studied. In a note, Wang and Ip (1999) gave the Wielandt inequality in matrix version in terms of the Lo|¨wner partial ordering.

Wielandt不等式是对著名的Cauchy-Schwarz不等式的一种改进，该不等式被广泛应用于统计理论中线型模型的研究方面，因此研究更一般形式的Wielandt不等式有重要的意义。

The performance of algorithm will be improved by using perturb model based Cauchy distributing and Tsallis accept rule.

算法通过使用基于Cauchy分布的扰动模型和Tsallis接收准则来提高模拟退火算法的性能。

The main results are:(1) the L1 boundedness of the Cesaro means operator of the harmonic expansions on the unit sphere with reflection-invariant measures is proved, and the characterization of the convergence index is given; for the points not in the planes with singularities, the pointwise convergence is also proved; these results are the generalizations of those both for the classical spherical harmonic expansions and for the Jacobi expansions;(2) Using the differential-reflection operators of Dunkl type, the uncertainty principle of a class of Sturm-Liouville operators is established, and as consequences, the uncertainty principles of some well-known classical orthogonal expansions such as Jacobi, Hermite and Laguerre expansions are obtained;(3) by introducing the Cauchy-Riemann equations in terms of the differential-reflection operators of two variables, the harmonic analysis of the extended Jacobi expansions is studied; the results include the Lp boundedness and the weak-L1 boundedness of the conjugate extended Jacobi expansions; specially, for some indexes p smaller than 1, the basic theory of the related Hardy spaces is established.

主要成果有：（1）证明了带有反射不变测度的球面调和展开蔡沙罗平均算子的L1有界性，给出了收敛指标的特征刻划，对不在奇性平面上的点，还证明了点态收敛性，这些成果同时推广了经典球面调和展开和雅可比展开的结果；（2）利用Dunkl型的微分-反射算子建立了一类斯特姆-刘威尔算子的测不准原理，并由此得到一些著名的经典正交展开如雅克比展开、赫米特展开和拉盖尔展开的测不准原理；（3）利用由两个变量的微分-反射算子定义的柯西-黎曼方程组来研究扩展雅克比展开的调和分析，证明了共轭扩展雅克比展开的Lp有界性和弱L1有界性，特别是对小于1的一些指标p，建立了相应的哈代空间的基本理论。

This paper is divided two chapters. The first chapter discusses the existence and uniqueness of solution for the Cauchy problem of the following quasilinear degenerate parabolic equationThe second chapter studies the geometric properties of a Riemannian manifold.

本文分两部分，第一部分是对如下形式的拟线性退化抛物方程Cauchy问题讨论了解的存在唯一性；第二部分是讨论了黎曼流形中的一些几何问题，主要是将欧氏空间平行射线的概念推广到一般黎曼流形，并研究其所具有的性质。

On the Cauchy Problem for a Nonlinear Schr?

等离子体物理中一个非线性Schr？

Numerical results also show that the inverse problem with Cauchy data is better to formulate by the singular integral equation than by the hypersingular integral equation for the constant element scheme.

由数值的经验，我们也发现对於柯西资料反算问题，在使用常元素时，最好采用奇异积分方程式会有比较准确的结果。

The receding calculations and experiment analyses in this subject are built on the blood cast of pig tongue.

本研究课题的前期工作是采用猪舌血管铸型模拟人舌而进行的数值计算与实验分析。

"Each human infection constitutes an opportunity for genetic modification of the virus through reassortment, mutation, or both...."

&每一次人类的感染都暗藏着一次基因修改的机会，无论是通过病毒的整合、突变或者兼而有之。。。。&