| 多元函数中值定理的推广及应用 |
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| 引用本文： | 费时龙,张增林,李杰.多元函数中值定理的推广及应用[J].安庆师范学院学报(自然科学版),2011,17(1):85-86. |
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| 作者姓名： | 费时龙 张增林 李杰 |
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| 作者单位： | 宿州学院,数学与统计学院,安徽,宿州,234000;宿州学院,数学与统计学院,安徽,宿州,234000;宿州学院,数学与统计学院,安徽,宿州,234000 |
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| 基金项目： | 省级优秀青年人才基金，宿州学院硕士科研启动项目，校级自然科学研究项目 |
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| 摘 要： | 我们将一元函数的Rolle中值定理与Lagrange中值定理推广到二元函数及多元函数中,并给出了他们的一些应用,与原来的多元函数的中值定理相比,它们具有更直观的几何意义。
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| 关 键 词： | 多元函数 Rolle中值定理 Lagrange中值定理 |
Extending and Application of Mean-value Theorem on Functions of several Variables |
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| FEI Shi-long,ZHANG Zeng-lin,LI Jie.Extending and Application of Mean-value Theorem on Functions of several Variables[J].Journal of Anqing Teachers College(Natural Science Edition),2011,17(1):85-86. |
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| Authors: | FEI Shi-long ZHANG Zeng-lin LI Jie |
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| Institution: | FEI Shi-long,ZHANG Zeng-lin,LI Jie(College of Mathematics and Statistics,Su Zhou University,Suzhou 234000,China) |
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| Abstract: | In this thesis,the extending and application of Rolle-mean-value theorem and Lagrange-mean-value theorem about functions of several variables are given,and their geometric meanings are evident. |
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| Keywords: | functions of several variables Rolle-mean-value theorem Lagrange-mean-value theorem |
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