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P—adic数域上的微分中值定理
引用本文:赵艳,惠存阳.P—adic数域上的微分中值定理[J].延安大学学报(自然科学版),2008,27(4):9-10.
作者姓名:赵艳  惠存阳
作者单位:1. 西北大学,数学系,陕西西安710127
2. 西安文理学院,数学系,陕西,西安,710068
摘    要:主要研究P-adic数域上的微分中值定理。在给出导数定义的前提下,对P—adic变量实值函数和P—adic值函数微分中值定理作了完整的证明。并分析了实数域与P—adic数域上微分中值定理的异同。

关 键 词:P—adic数域  P—adic微分  微分中值定理

Mean Value Theorem of Differentials on P-adic Fields
ZHAO YAN,HUI Cun-yang.Mean Value Theorem of Differentials on P-adic Fields[J].Journal of Yan'an University(Natural Science Edition),2008,27(4):9-10.
Authors:ZHAO YAN  HUI Cun-yang
Institution:ZHAO YAN ,HUI Cun-yang ( 1. Department of Mathematics, Northwest University, Xian 710069, China 2. Xian University of Arts and Science, Xian 710068, China)
Abstract:The paper is briefly focused on mean value theorem of differentials on P-adic fields. On the premise of definition, we proved the mean value theorem of differentials of P-adic variable function particularly. And compared the difference between real analysis and P-adic analysis on mean value theorem of differentials.
Keywords:P-adic fields  P-adic differentials  mean value theorem of differentials
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