一般化

This thesis consists of five chapters. At first, We introduce the study history as well as present situation on KKM theory. Secondly, We discuss the invariability of transfer open valued multimap under the restriction of upper and lower semicontinuity on generalized convex spaces. Then, We obtain new KKM type theorems from the classical KKM theorem by applying upper and lower semicontinuity. We also obtain intersection theorems by applying the KKM type theorems for a multimap from a topological space to another topological space. Further, We obtain Ky-Fan type coincidence theorem by applying known variational results on the KKM type theorems. Finally, We give an application to new theorems.

本文共分五章，首先回顾了KKM理论的研究历史和现状，其次讨论了在一般化凸空间上转移开值映射在上、下半连续映射下的不变性，然后在上、下半连续映射下，以古典的KKM定理为基础得到新的KKM型定理，并利用从一个拓扑空间到另一个拓扑空间的集值映射及KKM型定理得到相交定理，进一步利用已知的KKM型定理的变形结论得到Ky-Fan型重叠定理，最后给出新定理的一个应用。

A generalization of the problem, the subgraph isomorphism problem, is known to be NP-complete.

一般化的问题，子图同构问题，是已知的NP完全问题。

This paper is a generalization of the result in [2]. We prove that the least squares estimator of the regression coeffcient is admissible for a wide class of distributions when the variance σ2 is unknown.

这篇文章是成平结果的一般化，即在一个宽广的分布类中，证明了当方差未知时，回归系数最小二乘估计是容许的。

Generalized extinct mammals widespread during the Jurassic; commonly conceded to be ancestral to marsupial and placental mammals.

一般化的已灭绝哺乳动物，活跃于侏罗纪；普遍认为是有袋动物和有胎盘哺乳动物的祖先。

The theory of generalized metric properties and covering properties stems from a generalization of metrizability and compactness, in which a great many problems involve a research for certain point-countable covers.

作为对可度量性与紧性一般化而形成的广义度量理论与覆盖性质理论中的许多问题涉及到对确定的点可数。。。

For many decades, the traditional multiphase flow models based on the generalized Darcy's law.

多年来，传统的多孔介质中的多相流模型都是基于一般化的达西定律。

The process described in this section is a generalization of Newton's method for a single equation.

本节所叙述的是对单个方程的牛顿方法的一般化。

Introduces the notion of Feynman's path integrals and path integrals approach to financial modeling; Derives the path-dependent options pricing formula by making use of the Lagrange form of path integrals; Discusses Ilinski(2003)'s Gauge model which based on path integrals and fibre bundle, and its application for real-options evaluation; Summarizes the general modeling framework of options evaluation, taking advantage of the Hamilton form of path integrals; Applies the Geske-Johnson's analytical approximation in the path integrals form to the real-options evaluation for investment decisions, detailed procedure is presented under the assumption that underlying asset price dynamic follows a geometric Brownian motion, and the integral reduction for multivariate normal integrals and polynomial approximation for real-options evaluation is given.

系统论述了路径积分概念方法及其在期权估值中的应用，利用路径积分方法的Lagrange表述推导了路径依赖期权定价公式：探讨了基于路径积分和纤维丛的Gauge模型思想方法在实物期权价值评估中的应用；利用路径积分的Hamilton表述形式，总结了基于Hamilton表述的期权估值一般化框架；基于路径积分的形式框架建立了一个新的投资期权估值模型，并在具体的估值算法中给出了多重正态积分的降阶计算和期权价值的多项式逼近方法。

Towards this goal Impromptu's number notation for temporal relations have been designed on one hand, to help you keep close to your immediate experience of organized movement, and on the other, to help you develop a more general framework for understanding the "norms" of rhythmic structure.

为了达成这目标，Impromptu已经设定好时间关系的数字记号，有助於你保持你对於组织韵律的密切体验；另一方面，帮助你发展出对於了解节奏的结构的「规范模式，」较一般化架构。

In order to simplify the algorithm, orthogonal functions are selected as base functions, and the effectiveness of the model and the algorithm is proved by simulation of oil reservoir exploitation.

过程神经网络是人工神经网络在时间域上的一种扩展，从而使问题更为一般化。对于求解与过程有关的众多实际问题有较好的

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。