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浙江大学学报（理学版）
浙江大学学报（理学版）  2019, Vol. 46 Issue (4): 460-465    DOI: 10.3785/j.issn.1008-9497.2019.04.012
电子科学     
关于布尔函数的布尔导数、e导数和c导数相互关系的研究
王芳
浙江艺术职业学院 影视技术系，浙江 杭州 310053
The relationship between Boolean derivative, e-derivative and c-derivative of Boolean function
WANG Fang
Department of Film and TV Technology, Zhejiang Vocational Academy of Art, Hangzhou 310053, China
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摘要： 基于对布尔函数内部结构和相关性质的进一步揭示，及其应用领域的拓展，深入研究了布尔函数的布尔导数、e导数和c导数的相互关系，讨论了布尔函数的布尔偏导数、e偏导数和c偏导数之间的关系，得到了相关性质并给出了证明。以进一步完善布尔函数的布尔导数、e导数和c导数这3类特殊导数的运算理论。
关键词： 布尔导数;  e导数;  c导数;  布尔偏导数;  e偏导数;  c偏导数    
Abstract: According to the further revelation of the internal structure and related properties of Boolean functions and the development of their application fields, the relationship between Boolean derivatives, e derivatives, and c derivatives of Boolean functions is studied in depth, and the relevant properties are investigated and proved. Our results further promote the study on the theory of Boolean derivatives, e derivatives, and c derivatives of Boolean functions.
Key words: Boolean derivative    e-derivative    c-derivative    Boolean partial derivative    e-partial derivative    c-partial derivative
收稿日期: 2018-05-02 出版日期: 2019-07-25
CLC:  TP331  
作者简介: 王芳(1981—），ORCID:http://orcid.org/0000-0002-5639-813X，女，硕士，副教授，主要从事数字电路、音响技术研究，E-mail：595297508@qq.com.
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引用本文:

王芳. 关于布尔函数的布尔导数、e导数和c导数相互关系的研究[J]. 浙江大学学报（理学版）, 2019, 46(4): 460-465.

WANG Fang. The relationship between Boolean derivative, e-derivative and c-derivative of Boolean function. Journal of ZheJIang University(Science Edition), 2019, 46(4): 460-465.

链接本文:

https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2019.04.012    或    https://www.zjujournals.com/sci/CN/Y2019/V46/I4/460

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