| 在ROBINSON-LUXEMBERG 框架下的近初等过程论 |
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| 引用本文： | 金治明. 在ROBINSON-LUXEMBERG 框架下的近初等过程论[J]. 国防科技大学学报, 1998, 20(6): 88-97 |
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| 作者姓名： | 金治明 |
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| 作者单位： | 长沙国防科技大学系统工程与数学系 |
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| 摘 要： | 本文在Ｒｏｂｉｎｓｏｎ－Ｌｕｘｅｍｂｅｒｇ框架下重建了由Ｎｅｌｓｏｎ所创立的近初等过程论，更有意义的是我们由近初等过程可找回原来的标准过程，为在此框架下运用近初等过程论做随机分析打下了基础。
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| 关 键 词： | 非标准分析，近初等过程论，LOEB空间 |
| 收稿时间： | 1998-06-15 |
The Nearby Elementary Processes under Frame of Robinson-Luxemberg |
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| Jin Zhiming. The Nearby Elementary Processes under Frame of Robinson-Luxemberg[J]. Journal of National University of Defense Technology, 1998, 20(6): 88-97 |
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| Authors: | Jin Zhiming |
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| Affiliation: | Department of Systems Engineering and Mathematics, NUDT, Changsha, 410073 |
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| Abstract: | In this paper,the nearby elementary processes are rebuilt,which were first built by Edward Nelson in 1987,under the frame of Robinson Luxemberg.It is significant that we can get back the primary processes from this nearby elementary processes,which provides the foundation of stochastic analysis under this frame. |
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| Keywords: | Nonstandard Analysis Nearby Elementary Processes LOEB space |
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