[1]成立社,罗满..高阶导数与原函数统一性的研究[J].郑州大学学报(工学版),2001,22(01):68-70.[doi:10.3969/j.issn.1671-6833.2001.01.019]
　Establishment of a society,Roman.Study of the unity of higher-order derivatives and original functions[J].Journal of Zhengzhou University (Engineering Science),2001,22(01):68-70.[doi:10.3969/j.issn.1671-6833.2001.01.019]

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高阶导数与原函数统一性的研究()

分享到：

《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:

22卷

期数:

2001年01期

页码:

68-70

栏目:

出版日期:

1900-01-01

文章信息/Info

Title:

Study of the unity of higher-order derivatives and original functions

作者:

成立社; 罗满.

郑州工业大学数理力学系,, 河南财经学院计算机科学系,

Author(s):

Establishment of a society; Roman

关键词:

高阶导数;  原函数;  结构特征;  统一性

Keywords:

higher-order derivatives;  Original function;  structural features;  Unity

DOI:

10.3969/j.issn.1671-6833.2001.01.019

文献标志码:

A

摘要:

通过分析一类较为复杂函数的导数与其自身的结构特征，获得了由该类函数的一阶导数及其自身的结构特征，在不需要任何分析运算条件下，即可快速准确推知该类函数的原函数及其高阶导数的结果.研究结果表明：高阶导数与原函数这对互逆运算在该类函数中可实现统一.利用该结果可给实际运算带来许多简化与方便.

Abstract:

By analyzing the derivatives of a class of complex functions and their own structural characteristics, the first derivative of the class of functions and their own structural characteristics are obtained, and the original function of the class of functions and its higher-order derivatives can be quickly and accurately inferred without any analysis operation. The results show that the inverse operation of the higher-order derivative and the original function can be unified in this class of functions. The use of this result can bring a lot of simplification and convenience to the actual operation.

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