查询词典 generalized function

We study also the corresponding Cauchy problems with a given generalized Borel measure as initial data.

情形，证明了以外正则Borel测度作为初始值的Cauchy问题解的存在性。

Based on Contour Bougie morphology and generalized multiple structuring elements morphology, a novel series-parallel complex morphological filter was constructed for suppressing the speckle noise in images.

基于轮廓结构元素形态学和广义多结构元素的数学形态学，构造了一种新颖的用于抑制图像中的散斑噪声的串并复合滤波器。

Generalized Darcy's law was first derived from the study of fluid flow through a solid-fluid mixture,and the saturated permeability tensor of a preform could be predicted by studying its unit cell under periodic boundary conditions.

首先，采用均匀化理论分析了流体在多孔介质内的流动问题，推导出广义达西定律，证明以施加周期性边界条件的单胞为研究对象，可以预测预成型体的渗透率张量，并以单向纤维织物为例，对该方法进行了验证。

The main purpose of the dissertation is to introduce the concept of "generalized parameter" to the Boundary Element Method.

本文的创新点在于尝试将"广义参数"的概念引入到边界元法的分析中，尝试探寻边界元法求解断裂力学的新理论和新途径。

In Chapter 2, we use Zorn lemma and generalized order set general principle [47] to generalize classical Caristi fixed point theorem, respectively, which weaken the condition that the functional is bounded from below.

在第二章中，我们首先分别利用Zorn引理和推广的序集一般原理[47]推广了古典的Caristi不动点定理，削弱了泛函下方有界这个条件。

As a result, we have demonstrated that the best approximating operator and the best approximating of bounded linear operator in H10 and H1a,+∞ are consistent and, at the same time, we have generalized the theorem of the best approximating of bounded linear operator to the more universal H1

然后，我们说明了在这样的索伯列夫空间上定义的样条插值算子和最佳逼近算子是一致的，同时把有界线性算子的最佳逼近定理也推广到了一般的索伯列夫空间H~1a，+∞上去。

This paper investigates the problem of the best weighted simultaneous approximation to totally bounded sequence s from a set G of generalized polynomials with restricted coefficients in complex normed linear spaces X.

在复赋范线性空间X中考察了具限制系数的广义多项式集G对全有界序列的加权同时逼近问题。

Fuzzy sequentially compact set in fuzzy normed space was defined and the relations between fuzzy sequentially compact set and fuzzy total bounded set were studied some properties of topolisical space were generalized to fuzzy topolisical linear space.

在模糊赋范空间中给出了列紧集的概念，并对于模糊列紧集与模糊全有界集之间的关系作了进一步的研究，使得与分明的情况基本上协调起来。

Under some reasonable assumptions of the'Distribution Matrix', the Riemann Problem with piecewise constant initial data is proved to have a unique Riemann Solver; furthermore, using'Wave Front Tracking Method'and properties of the'Generalized Characteristics', we prove the existence of weak entropy solution to the Riemann Problem with arbitrary initial data of bounded Total Variation.

在"分布矩阵"满足合理的假设前提下，证明了具有分片常值初始条件的黎曼问题的黎曼解算子的存在唯一性；并进一步运用"波前追踪法"和"广义特征"等得到了具有任意有界全变差初值条件的广义黎曼问题的弱熵解的存在性。

The bounding surface model and the generalized plasticity model are used to predict this behaviour.

对此给出了试验结果，并尝试用边界面及广义塑性模型来预测黄土的软化及液化现象。

Fostering the concept of multi-culture firmly and mastering the development of advanced culture correctly are conductive to resisting terrorism, separatism of nationalities and ultraism of religion, which is of great academic theoretical, immediate and profound historical si...

牢固树立多元文化的理念和正确把握先进文化的发展方向，有助于在世界范围内自觉地抵制恐怖主义，民族分裂主义和宗教极端主义。不仅具有重大的学术理论意义，而且也具有重大的现实意义和深远的历史意义。

But if anyone walks in the night, he stumbles, because the light is not in him.

11：10 若在黑夜行走，就必碰跌，因为那光不在他里面。