| 关于多元函数的极限 |
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| 引用本文： | 于英凤. 关于多元函数的极限[J]. 辽宁师范大学学报(自然科学版), 1987, 0(2) |
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| 作者姓名： | 于英凤 |
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| 作者单位： | 大连铁道学院 |
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| 摘 要： | 多元函数的极限是度量空间或拓朴空间上映射的极限的特例,在讨论极限存在及计算问题上,由于欧氏空间的特殊性,使它有特殊的方法,出现了多元函数的极限与一元函数极限存在着根本区别。本文以二元函数为代表,细致剖析了多元函数极限的存在性及计算问题。
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| 关 键 词： | 欧氏空间 二重极限 累次极限 |
On the Limits of Multivariate Functions |
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| Yu Yingfeng. On the Limits of Multivariate Functions[J]. Journal of Liaoning Normal University(Natural Science Edition), 1987, 0(2) |
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| Authors: | Yu Yingfeng |
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| Affiliation: | Dalian Institute of Railway Technology |
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| Abstract: | The limits of multivariate functions are the specialcase of the limits of the mappings on the measure space or topological space. Due to the particular properties of Euclidean space, there exist particular methods to deal with the problems of their existence and calculation. There exist fundamental differences between the limit of a multivariate function and that of a mondic function. In this paper, the problem of the existence and calculation of the limits of multivariate functions, presented by bivariate function, are discussed exhaustively. |
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| Keywords: | Euclidean space Bivariant limit Iterated limit. |
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