非标准分析

非标准分析之转化原理及其在分析中的应用

The Principle of Transfer in Non Standard Analysis and Its Application

介绍了非标准分析的转化原理，并给出其在数学分析上的一些应用。

In the paper , we introduce the principle of transfer in non standard analysis and its some applications to the classical analysis are given .

讨论LST定理对非标准分析的应用。

The applications of LST theorem to the non-standard analysis are discussed .

用非标准分析表示Diracδ函数

Dirac Delta Function Via Nonstandard Analysis

LST定理与模型论方法&兼评新著《非标准分析概论》

LST Theorem and Methods of Model Theory ── Reviews : 《 An Introduction to Non-Standard Analysis 》

FDE存在定理的非标准分析证明

A NSA Proof of the Existence Theorem for FDE

Heaviside函数的非标准分析表示

The Representation of Heaviside Function in Nonstandard Analysis

非标准分析与导数的本质

On the innate character of derivation and nonstandard analysis

非标准分析中无穷小量阶的研究

A study of infinitesimal quantity order in off-standard analysis

非标准分析理论在模糊拓扑学中的应用

Some Applications of Nonstandard Analysis in Fuzzy Topology

无限图的非标准分析方法

Nonstandard Analysis Methods for Infinite Graphs

从非标准分析到量子力学

From Nonstandard Analysis to Quantum Mechanics

非标准分析在经济学中的应用

Application of Nonstandard Analysis to Economics

本文采用非标准分析方法研究拓扑动力系统。

The method of nonstandard analysis is applied to the studies of the topological dynamical systems .

再论非标准分析

Comments on non-standard analysis again

非标准分析与概率论

Non-Standard Analysis and Probability

外的非标准分析学

The External Nonstandard Analysis

作为一种自动微分技术，它结合了非标准分析、简正级数理论等的思想。

As a kind of automatic differentiation techniques , it is based on the nonstandard analysis and normal power series theory .

亚伯拉罕·鲁滨逊是二十世纪美国著名的数学家和数学哲学家，非标准分析的创始人。

A.Robinson was a famous American mathematician and philosopher of mathematics in20th century , and he was the originator of nonstandard analysis .

在非标准分析框架下，用离散函数定义新广义函数，用差商定义其导数。

By using nonstandard analysis , we define new generalized functions as discrete functions , and their derivatives are defined as difference quotients .

采用非标准分析观点，定量地讨论了无穷小量的阶并给出阶的应用。

Using the view of the off-standard analysis , this paper discusses the order of infinitesimal quantity and gives out the application of the order .

本文借助于广义函数的调和表示，采用非标准分析方法，给出广义函数多目标规划的几个充分条件。

The sufficient conditions for optimization problems in the title are given by using the harmonic representation of Schwartz distributions and the methods in nonstandard analysis .

通过本文的研究，不但使模糊拓扑学中原有的概念、结论的本质特性更为清晰简洁，而且丰富了非标准分析理论的应用领域。

By the research in this paper , not only the concepts and conclusions in fuzzy topology can be more clear and simple , but also realm of nonstandard analysis can be extended .

本文将数学中的非标准分析、图论中的信流图和现代控制理论中的状态空间法等交织在一起，提出一种时域信流图。

This paper proposes a " time domain signal flow graph " by integrating the non-standard analysis in mathematics , the signal flow graph in graph theory and the state space method of modern control theory .

方法拟合超额相对危险度模型，绝对超额危险度模型，非标准模型等分析云锡现场队列研究资料。

Methods Fitting Excessive Relative Risk Models , Absolutive Excessive Risk Model , and so on to the YTC cohort data .

第二部分，我们先对模糊集合和它的运算进行了非标准扩张，这就把非标准分析理论引入到了模糊数学中。

In the second part , first , the fuzzy set and its calculations are extended by nonstandard analysis - it can take the nonstandard analysis theory into fuzzy mathematics .