查询词典 locally convex space

Chapter 4 -rotundity and nearly strict convexity of quotient spaces. It is proved that ifis a -rotund or nearly strict convex Banach space andis a closed and proximinal subspace of, then the quotient spaceis also -rotund or nearly strict convex.

第四章 商空间的-严格凸性和近严格凸性：本章证明了若是Banach空间的任意可逼近子空间，则商空间对原空间的-严格凸性和近严格凸性都具有遗传性。

By applying existence theorems of maximal elements for a family of GB-majorized mappings in a product space of G-convex spaces, some coincidence theorem, Fan-Browder type fixed point theorem and some existence theorems of solutions for a system of minimax inequalities are proved under noncompact setting of G-convex spaces.

通过应用G-凸空间的乘积空间内一族GB-优化映象的极大元的存在定理，在G-凸空间的非紧设置下证明了某些重合点定理，Fan-Browder型不动点定理和极小极大不等式组的解的存在性定理。

Moreover, it is obtained that, if X is a core compact and locally connected space, then the Isbell and Scott topologies agree on functions space for all continuous L-Domain L with a least element if and only if X is an RW-space.

而且还证明了，若X是核紧的局部连通空间，则对所有有最小元的连续L-DomainL，上的Isbell拓扑和Scott拓扑相同当且仅当X是RW-空间。

In the third chapter, we study complete minimal submanifolds of locallysymmetric space, and we obtain a pinching theorem about the Ricci curvature of the minimal submanifolds, which generalizes the result of Norio Ejiri\'s from sphere space to locally symmetric space.

第三章节研究局部对称空间中具有正Ricci曲率的完备极小子流形，得到了关于子流形Ricci曲率的一个pinching定理，该定理把Norio Ejiri的结论从外围空间为球空间推广到局部对称空间中。

In chapter three, at first we introduces two kinds locally double αdiagonally dominant matrix from the concept of αdiagonally dominant matrix, by using this conception and the properties of αdiagonally dominant matrix and the techniques of inequalities, we discuss the relation of locally double αdiagonally dominant matrix and generalized strictly diagonally dominant matrix, according to these relations we obtain some effective criteria for generalized strictly diagonally dominant matrix.

在第三章中，首先由α-对角占优矩阵的定义，引进了两类局部双α对角占优矩阵，并利用它们及α-对角占优矩阵的性质，结合放缩不等式的技巧，讨论了局部双α对角占优矩阵与广义严格对角占优矩阵的关系，并由此得到判定广义严格对角占优矩阵的几个实用准则。

Their lack of a global mapping can be remedied by a recently developed method based on locally linear embedding, called locally linear coordination.

近年来提出的概率子空间混合模型对于图像流形学习是一种非常有用的方法，其对全局映射的缺乏可以由最近发展起来的基于局部线性嵌入，也称为局部线性坐标的方法来改善。

The ghost town of Green River, known locally but incorrectly as Soo Valley (the Soo Valley is nearby but in a different drainage), was based around a lumber mill on a point on the east shore of the lake at its narrowest point, opposite Emeerald Estates; the porch of the old main building was the location of a locally-famous group nude photo by squatter residents of the area in the 1970s, many of them now figures in the Whistler establishment.

绿河的当地人，鬼城但秀谷（秀谷的错误就在附近，但在不同的排水），围绕着对湖东岸的一个点设在木材厂的最窄处，相反Emeerald屋，老主楼门廊是当地著名的裸体照片组由该地区的寮屋居民在20世纪70年代的地点，其中许多人现在的数据，惠斯勒的建立。

Locally quadratic convergence is also obtained, compared with the locally superlinear convengence of Chen-Xiu's.

在一定意义下，光滑化函数是延拓算法的核心。

This paper deals with analysis procedures of periodically locally stationary random process which is a specific class of locally stationary process.

本文讨论一类特殊的局部平稳随机过程——周期性局部平稳随机过程的分析方法。

We get a class of refinable distributions which have localpolynomial property and are globally linear independent but are locally lineardependent,So that when M＞N,the Daubechies type scaling functions〓have localpolynomial properties and are globally linear independent but locally lineardependent.

给出了一类细分方程，它们的解具有局部多项式性质并且它们是整体线性无关的但是它们是局部线性相关的。从而得到了当〓时，Daubechies型尺度函数〓具有局部多项式性质并且它们是整体线性无关的但是它们是局部线性相关的。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。