| 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.[点击复制] |
| Jin Zhiming.The Nearby Elementary Processes under Frame of Robinson-Luxemberg[J].Journal of National University of Defense Technology,1998,20(6):88-97[点击复制] |
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| 在ROBINSON-LUXEMBERG 框架下的近初等过程论 |
| 金治明 |
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(国防科技大学系统工程与数学系 湖南 长沙 410073)
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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。 |
| 关键词: 非标准分析, 近初等过程论, LOEB 空间 |
| DOI： |
| 投稿日期：1998-06-15 |
| 基金项目:国家自然科学基金资助 |
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| The Nearby Elementary Processes under Frame of Robinson-Luxemberg |
| Jin Zhiming |
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(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. |
| Keywords: Nonstandard Analysis, Nearby Elementary Processes, LOEB space |
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