基于图形方法的对称函数两种展开系数之间的转换
TRANSFORMATION BETWEEN TWO KINDS OF EXPANSION COEFFICIENTS OF SYMMETRIC FUNCTIONS BASED ON MAPPING METHOD
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摘要: 本文讨论了基于与-或-非代数系统和基于与-异或代数系统的两类基本对称函数的定义和任意对称函数在这两类对称函数完备集中的图形表示,提出了两种展开系数的图形转换方法。Abstract: This paper discusses the definitions and properties of two kinds of fundamental symmetric functions, which are based on AND-OR-NOT algebraic system and AND-Exclusive OR algebraic system, respectively. Based on it, the mapping trasformation methods between two kinds of expansion coefficients of an arbitrary function in the complete sets of two fundamental symmetric functions are proposed.
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Chen X(陈偕雄)The Radio and Electronic Engineer, 1983, 53(2): 67-74.[2]Tapia M A. Int[J].J. Electronics.1989, 67(5):703-715[3]Butler J T, Schueller K A. Worst case number of terms in symmetric multivalued functions. IEEE Proc. 21th IS1}iVL. Victoria: 1991, 94-101.[4]赵小杰,陈偕雄.杭州大学学报(自然科学版),1990, 17(4): 410-408.[5]陈偕雄.杭州大学学报(自然科学版),1994,21(3): 291-297.[6]罗朝杰.数学逻辑设计基础.人民邮电出版社,北京:198 , 173-182.[7]Wu X(吴训威),Chen X(陈偕雄),Hurst S L. IEE Proc.-E, 1982, 129(1): 15-20. -
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