基于圖形方法的對(duì)稱函數(shù)兩種展開系數(shù)之間的轉(zhuǎn)換
TRANSFORMATION BETWEEN TWO KINDS OF EXPANSION COEFFICIENTS OF SYMMETRIC FUNCTIONS BASED ON MAPPING METHOD
-
摘要: 本文討論了基于與-或-非代數(shù)系統(tǒng)和基于與-異或代數(shù)系統(tǒng)的兩類基本對(duì)稱函數(shù)的定義和任意對(duì)稱函數(shù)在這兩類對(duì)稱函數(shù)完備集中的圖形表示,提出了兩種展開系數(shù)的圖形轉(zhuǎn)換方法。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.
-
Chen X(陳偕雄)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]趙小杰,陳偕雄.杭州大學(xué)學(xué)報(bào)(自然科學(xué)版),1990, 17(4): 410-408.[5]陳偕雄.杭州大學(xué)學(xué)報(bào)(自然科學(xué)版),1994,21(3): 291-297.[6]羅朝杰.數(shù)學(xué)邏輯設(shè)計(jì)基礎(chǔ).人民郵電出版社,北京:198 , 173-182.[7]Wu X(吳訓(xùn)威),Chen X(陳偕雄),Hurst S L. IEE Proc.-E, 1982, 129(1): 15-20. -
計(jì)量
- 文章訪問數(shù): 1904
- HTML全文瀏覽量: 110
- PDF下載量: 484
- 被引次數(shù): 0
下載:
