查询词典 cauchy inequality

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 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。

It is proved that frame indifference of strain energy founctions Wof a hyperelastic materical implies symmetry of Cauchy stress tensor T,and that frame indifference of T implies symmetry of T.

证明了应变能函数的客观性意味着 Cauchy 应力张量的对称性，以及 Cauchy 应力张量的客观性将包含应变能函数的客观性，从而也导致 Cauchy 应力张量的对称性。

Following our result, the KS test and Cramér-von-Mises test got the best testing outcome excluding the Cauchy, student's t and Logistic distribution, and Cramér-von-Mises test is better than KS test.

根据我们的模拟结果可知，除了柯西、t及逻辑斯分布之外，KS检定法和Cramér-von-Mises检定法有较好的检测效果，并且以Cramér-von-Mises检定法优於KS检定法。

The algebraic proof of this equivalence involves the Cauchy-Binet formula and multi-Schur functions based on the complete super symmetric function.

与此等价的代数证明需要Cauchy-Binet公式和基于超完全对称函数上的multi-Schur函数两方面的知识。

In the composite-Boson field the topological structure of soliton is obtained with the Cauchy-Riemann condition. The evolution of soliton in such system is discussed in detail.

借助于Cauchy-Riemann条件揭示了复合玻色场中孤子态的拓扑结构，并详细考察了该系统中孤子态的演化。

This is a bit of break from the norm for me.

这是一个有点脱离的标准箱。

Xin Ju Group is a for all kinds of enterprises to provide technical equipment enterprise groups.

鑫驹集团是一家为各类企业提供技术设备的企业集团。