| 多元函数可微的充分必要条件 |
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| 引用本文： | 刘孝书,孙跃娟. 多元函数可微的充分必要条件[J]. 井冈山学院学报, 2009, 30(8): 5-7 |
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| 作者姓名： | 刘孝书 孙跃娟 |
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| 作者单位： | 商丘师范学院数学系,河南商丘476000 |
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| 基金项目： | 商丘师范学院2008年教学改革研究校级资助项目 |
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| 摘 要： | 常见的数学分析教材都仅给出二元函数可微的必要条件或充分条件,本文将给出并证明二元函数可微的两个充分必要条件。
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| 关 键 词： | 多元函数 可微 偏导数 充分必要条件 |
The necessary and sufficient condition for the differentiability of binary function |
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| LIU Xiao-shu,SUN Yue-juan. The necessary and sufficient condition for the differentiability of binary function[J]. Journal of Jinggangshan University, 2009, 30(8): 5-7 |
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| Authors: | LIU Xiao-shu SUN Yue-juan |
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| Affiliation: | (Department of Mathematics, Shangqiu Teachers College, Shangqiu 476000, China) |
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| Abstract: | There is only necessary condition or sufficient condition for the differentiability of binary function given in common mathematical analysis textbooks. In this paper, we propose and prove the necessary and sufficient condition for the differentiability of binary function. |
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| Keywords: | functions of many variables differentiable partial necessary and sufficient condition |
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