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。
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。
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．。
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。
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。
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。
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。
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