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Volume 18 Issue 4
Jul.  1996
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Chen Xiexiong. TRANSFORMATION BETWEEN TWO KINDS OF EXPANSION COEFFICIENTS OF SYMMETRIC FUNCTIONS BASED ON MAPPING METHOD[J]. Journal of Electronics & Information Technology, 1996, 18(4): 408-414.
Citation: Chen Xiexiong. TRANSFORMATION BETWEEN TWO KINDS OF EXPANSION COEFFICIENTS OF SYMMETRIC FUNCTIONS BASED ON MAPPING METHOD[J]. Journal of Electronics & Information Technology, 1996, 18(4): 408-414.

TRANSFORMATION BETWEEN TWO KINDS OF EXPANSION COEFFICIENTS OF SYMMETRIC FUNCTIONS BASED ON MAPPING METHOD

  • Received Date: 1994-03-14
  • Rev Recd Date: 1995-01-03
  • Publish Date: 1996-07-19
  • 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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