查询词典 locally convex space

According to the viewpoint of combination tope, any convex polyhedron can be composed of some simplexes, and both convex polyhedron and simplex are important concepts of programming theory, so it's necessary to find their volumes in some calculations.

由组合拓扑学可知，任意凸多面体均为若干个单纯形的某种组合，两者均为规划论中最重要的基本概念之一，因而在一些计算中对其求积是不可少的。

There are a large number of non-convex functions in practical problems, and they have similar nature in the non-linear programming as convex functions.

实际问题中的大量函数都是非凸的，它们与凸函数在非线性规划中有一些相似的性质。

In fact, the former only consider the strict convex programming, while the latter considers the convex programming.

支持向量机中有一类重要的变形方法，虽然很有效，但缺乏相应的统计学习理论基础。

Along with the development of convex fuzzy set, people investigate the convexity of fuzzy mapping on convex sets and its application in fuzzy programming .

随着凸模糊集研究的深入与发展，人们讨论了模糊映射在凸集上的凸性及其在模糊规划中的应用。

And then, the concept of a strong C- convex fuzzy set is introduced,and using this concept the C-Minkowski addition of fuzzy sets as well as therelationship between it and the C- convex fuzzy sets is studied.

我们还引入了强C-凸模糊集的概念，并利用这个概念讨论了模糊集的C-Minkowski和运算及其与强C-凸模糊集之间的关系。

In this paper,we give the definition of an∈,∈∨q(λ,μ-convex fuzzy set and discuss some of the fundamental properties of such convex fuzzy set.

给出∈，∈∨q(λ，μ-凸模糊集的定义，讨论它们的一些基本性质。

In this study, the convex set theory and convex models are applied in the treatment of uncertainty in the seismic hazard analysis and performance-based structural seismic evaluation and design, and an alternative approach is developed for analyzing the uncertainty in earthquake engineering.

本文运用凸集理论和凸集模型描述地震危险性分析和基于性能的抗震性能评估和抗震设计中相关因素的不确定性，发展地震工程中不确定性因素的新的处理方法。

A new concept of convex set and its some characteristic properties This paper give a new definition, the support direction of a boundary point of convex set.

2复杂网格的Buffon概率在积分几何中，运动公式是一些定义在定区域与动区域交集上的几何函数的积分公式。

In chapter three, we prove that there exist solutions to the Ky Fan variation inequality, as the set-valued mappings are defined on spheres in infinite dimensional Banach spaces or odd dimensional Euclidean spaces, following from these theorems, we obtain some fixed point theorems for set-valued mappings defined on a sphere. When G is an approximate compact convex subset of E, or G is a almost quasi-convex set-valued mapping, we prove that there exist solutions to and type generalized Ky Fan variation inequality, following these theorems, we prove several best approximation theorems and coincidence theorems involving two set-valued mappings and two different spaces. In chapter four, we first present a new Simplicial algorithm for computing the Leray - Schauder fixed points, the algorithm can solve the set-valued nonlinear complementarily problem. We give a condition to guarantee the computation proceeding in a bounded region. We present integer-labeling algorithms for computing fixed points of some set-valued mappings, the best approximation points and solutions to a kind of set-valued variation inequalities.

第四章给出了计算定义在非凸集上的非自映射的Leray-Schauder不动点的算法，而现有的不动点算法都是计算凸集的上半连续集值自映射的不动点；给出了保证计算有界的一个充分条件，我们的条件大大弱于Mdrrill条件，我们的算法也可用来计算Eaves不动点；给出了集值非线性互补问题存在解的一个充分条件，此时可利用Leray-Schauder不动点算法来求解；向量标号算法以往是计算集值映射不动点的唯一有效算法，我们给出用整数标号算法计算一类集值映射的Kakutani 不动点的算法；定义在紧凸集上的连续映射不一定有不动点，但一定有最近点，最近点是不动点概念的推广，我们给出了计算最近点的算法；集值映射变分不等式尚无有效的求解算法，我们给出求解一类集值映射变分不等式的算法。

Ervertebralis of scoliosis goat apical vertebral,there is no significant difference in distribution of any two sections' sympathetic fiber in normal peoples annulus fibrosus disci intervertebralis,and there is significant difference between the sympathetic fiber distribution of convex side and concave side in annulus fibrosus disci intervertebralis of AIS apical vertebral-the sympathetic nerve supply of convex side to gain advantage concave side.

结果成功构建山羊脊柱侧凸模型，研究发现正常山羊椎间盘纤维环四个区的交感神经分布无显著差异；侧凸山羊顶椎区椎间盘凸凹侧纤维环交感神经分布无显著差异；正常人椎间盘纤维环四个区的交感神经分布无显著差异；青少年特发性脊柱侧凸患者顶椎区椎间盘凸凹侧纤维环交感神经分布有显著差异，凸侧明显多于凹侧。

This immediately brings us to the next part of this article: creating an output "replace function".

下面进入文章的第二部分：建立一个"缓存处理函数"。

He was elected as an International Ornithological Committee member in 2002 during the 24th IOC held in Beijing.

现为中国鸟类学会理事和WPA 专家组成员。2002年被推选为国际鸟类委员会委员。