Aim to define the topology by nonstandard analysis.
目的用非标准分析的方法给出拓扑的定义。
The method of nonstandard analysis is applied to the studies of the topological dynamical systems.
本文采用非标准分析方法研究拓扑动力系统。
One of our definitions is in the framework of nonstandard analysis, and another is in standard analysis.
一个定义是在非标准分析的框架中，另一个则是标准分析的。
As a kind of automatic differentiation techniques, it is based on the nonstandard analysis and normal power series theory.
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。
Automatic differentiation (AD), based on the nonstandard analysis theory, is a new technique in computer numerical analysis.
自动微分(AD)技术以非标准分析为理论基础，是计算机数值计算领域中的一种很有前途的方法。
By using nonstandard analysis, we define new generalized functions as discrete functions, and their derivatives are defined as difference quotients.
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。
We discuss the problem of valuation assignment and integration of generalized functions by nonstandard analysis method. The generalized continuity of generalized functions is also discussed.
本文采用非标准分析方法，首先对广义函数的赋值问题进行了完善；接着界定了广义函数的积分；最后讨论了广义函数的广义连续性．。
The analysis result shows that it is a very feasible method for designing of nonstandard parts to adopt optimal technology based on finite element analysis.
分析结果显示，将基于有限元分析的优化技术应用于非标零件的设计是一种非常可行的方法。
In this paper, by using the analysis of standard interpolation polynomial, we give the theory of truncating error on nonstandard interpolation polynomial.
通过对标准形式插值多项式的截断误差分析，给出了非标准形式插值多项式的截断误差公式。
The analysis results from the model showed that ill management, nonstandard vaccination and laboratory surveillance are high risk factors.
分析结果表明：管理不良、接种操作不规范、实验室监测等是我国免疫预防的高风险因素。
The analysis results from the model showed that ill management, nonstandard vaccination and laboratory surveillance are high risk factors.
分析结果表明：管理不良、接种操作不规范、实验室监测等是我国免疫预防的高风险因素。
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