查询词典 spaces

Chapter 2 converts the solutions of saddle point problems in Hilbert spaces intothe equilibrium points of some dynamic system by means of the projection method,and gives some conditions of global asymptotic stability by extending the LaSalleinvariance principle to Hilbert spaces.

第三章把约束鞍点问题转化为等价的无约束问题，然后利用投影法构造了一个神经网络模型进行求解，并利用第二章结论证明了在适当条件下，模型大范围收敛于问题的精确解。

Generalized Morrey spaces;Maximal operator;Homogeneous spaces

广义Morrey空间；极大算子；齐型空间

Functional Analysis is primarily concerned with the structure of infinite dimensional vector spaces and the transformations, which are frequently called operators, between such spaces.

功能分析主要关注的是无穷维向量空间的转换，它们通常被称为运营商之间的空间结构。

For the analysis properties of infinite matrix,first,it establishes the automatic conti-nuity theorems on the sequence spaces with 0-GHP or WGHP,and the automaticboundedness theorem on the sequence spaces with 0-GHP.

在无穷矩阵的分析性质方面，建立了具有0-GHP或具有WGHP的矢值序列空间上无穷矩阵算子的自连续性定理，以及具有0-GHP矢值序列空间上无穷矩阵算子的自有界性定理。

The growth of functions in these spaces depends on a weighted function ρ. We investigate the relation between growth and boundary values of the functions, and prove that a function or its radial derivative is in one of the spaces if and only if the p'integral average of the difference of its boundary value function is integrable or bounded.

研究这些函数空间中函数的增长性与边界值的关系，得到了函数或其径向导数属于相应空间的充分必要条件是其边界值差分的p次积分平均应具备一定的可积性或有界性。

The main contents include: Some preliminary theory (introduction to Sobolev spaces and variational formulations for differential equations); finite element methods for one-dimensional elliptic problems; the construction methods for general finite elements; error estimates for interpolation operators and inverse inequalities for finite element spaces; a priori and a posteriori error estimates for the finite element method for high-dimensional elliptic problems; some typical spectral methods for partial differential equations; error analysis for the spectral approximation for some linear and nonlinear partial differential equations.

主要内容有：准备知识（Sobolev空间的基本概念和主要结果，微分方程的变分描述）；一维椭圆型方程有限元方法；一般有限元的构造；插值算子误差估计和逆不等式；高维椭圆型方程的先验、后验误差估计；求解偏微分方程的几类谱方法；线性与非线性问题谱逼近的误差分析等。

The main topics are: set theory foundation, Lebesgue measure and Lebesgue integral, basic theories on linear normed spaces and Hilbert spaces and introduction to linear bounded operators.

本课程基本内容包括集合论基础、Lebesgue测度与Lebesgue积分、线性赋范空间与Albert空间的基本理论和有界线性算子简介。

In general L_p spaces,one can characterize the smoothness of refinement function with Lipschitz space. In particular, one can characterize the smoothness of refinement function in Sobolev spaces.

对于一般的L_p空间，在细分方程收敛的前提下，对细分函数光滑性的刻画用一般的Lipschitz空间即可；特别地，当p=2时，可以在Sobolev空间中去刻画其光滑性。

Some geometrical properties of Orlicz spaces and Cesaro-Orlicz sequence spaces equipped with Luxemburg norm are investigated in this thesis.

全文共分三章，主要工作总结如下：第一章绪论：在这一章中我们主要回顾了Orlicz空间理论六十多年的发展历程，并且简单介绍了前人的主要研究成果。

Caused by the brake disc brake on back wheel should not have four kinds of spaces possible: First, the foot brake 5 exhaust inlets, high pressure gas instinct Pai people the atmosphere, caused by gas-liquid master cylinder should not spring back to place, cause the system Oil will move the brake disc brake wheel cylinder piston top dead can not come back to places; are gas-liquid two disc brake master cylinder to the tubing plug, resulting in brake wheel cylinder piston can not come back to places; are three master cylinder of gas-liquid Can not spring back to their own spaces, brake fluid under high pressure gas, liquid should not return to the master cylinder reservoir chamber, resulting in brake wheel cylinder piston can not come back to places; are four wheel disc brake piston brake system because of moving fluid dirty or rusty Pistons Can not Back-bit card dead.

造成盘式制动器上的制动分泵不能回位有4种可能：一是脚制动阀5的排气口堵塞，高压气体本能排人大气，造成气液总泵的弹簧不能回位，导致制动油将盘式制动器的制动分泵活塞顶死而不能回位；二是气液总泵至盘式制动器的油管堵塞，造成制动分泵活塞不能回位；三是气液总泵的弹簧本身不能回位，制动液在高压气体作用下，不能回到气液总泵的储油室，从而造成制动分泵活塞不能回位；四是盘式制动器制动分泵活塞由于制动液太脏或活塞生锈卡死而不能回位。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。