查询词典 category theory

Thirdly, we will concentrate on the multiplicity of the positive and minimal sign-changing solutions of the following quasilinear equations with Hardy-Sobolev critical exponent in bounded domain By Lusternik-Schnirelmann category theory, we showthe relation the number of positive solutions with the topology of the domain.

再次研究有界区域上具有Hardy-Sobolev临界指数的拟线性方程的正解与极小变号解的多重性，运用Lusternik-Schnirelmann理论，给出方程正解与区域的拓扑性质的相关性。

Through using category theory, this paper investigates the properties of subcoalgebras, especially, the properties of subcoalgebras on Set, the category of sets and functions. This paper shows that all the subcoalgebras on Set are regular.

以范畴理论为工具讨论子共代数的性质，特别是集合范畴上的子共代数的性质，证明了集合范畴上的子共代数都是正则子共代数。

Based on the category theory,the two-fold setapproximation(E,f-1*of grey hazy classis constructed andproved.

问题的决策一般都是在灰信息下进行的，因而论文研究的另一个重点为灰信息下的决策理论和方法。

Finally, the author described the deductive system of syntactic categories from the viewpoint of Category Theory in mathematics.

最后，作者从范畴理论的角度给出了句法范畴演绎系统的数学描述。

Under the view about semantic from Chinese traditional exegetics, with the concept that semantic meaning is language essence, and reasonable views drew from Prototype category theory and Fuzzy theory, from the angle of semantic independently, we discuss the semantic features of adjective.

本论文以传统训诂学的语义中心观为指导思想，继承传统训诂学以语义为本体的研究思路，借鉴当代语言学的原型范畴观和模糊集合论，从纯语义的角度，探讨形容词的词汇语义特征，并以之为标准，对形容词进行逐层的下位分类，呈现形容词的语义系统，显示语义特征、语义场以及义位之间的关系。

Notable examples are the development of category theory, which provides a useful framework for a large part of mathematics, homological algebra, and applications of model theory to algebra.

比较明显的例子是范畴论的发展，范畴论对数学，同调代数，以及模论在代数上的应用都提供了一个十分有用的框架。

This article mainly discusses markedness on semantic level and attempts to use prototype category theory to explain it. Finally, the author discusses the influence of markedness on second language acquisition.

本文主要探讨语义层面上的标记现象并试用认知语言学中的原型范畴理论对其作出解释，最后将讨论标记程度不同的语言形式对第二语言习得的影响。

Then, the paper used structural equation model and factor analysis to test the hypothesis and compare the relative modleFor the results in the study, first of all, papers have collated the theories relative to psychological boundary from three point of view, they were personality theory, social cognitive theory, self-category theory, social representation theory and system theory.

在研究成果方面，首先，论文在已有研究的基础之上，从三个方面整理出于心理边界相关的基础理论，它们分别是人格理论、社会认知理论、自我分类理论、社会表征理论和系统理论。

By utilizing the concepts and methods developed in Algebra Topology,Algebra Geometry and Algebra Representations,we first depicted the concepts and results of Incidence Algebra which reflects the linear structure of underlying posets and Sheaf theory which reflects the topological structure of underlying poset in the framework of Category Theory.

本文综合运用了代数拓扑、代数几何及代数表示论里发展起来的概念与方法，首先在范畴的框架下，对和偏序集的线性结构密切相关的Incidence代数，及与偏序集的拓扑结构紧密联系的层，进行了刻画。

New-Platonism's dialectic thought mainly represents the thought of the unitarity and motion of the world, of the negation of negation, and of the unity of opposites of the category theory.

新柏拉图主义的辩证法思想主要表现为关于世界的统一性和运动变化的思想，关于否定之否定的思想以及范畴学说中的对立和同一的思想。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了