关于自双反函数的性质之研究

阐述了双反函数、自双反函数和多数函数的定义,提出了自双反函数的性质.根据上述定义利用布尔代数中的基本概念、定理和公式证明了这些性质,展示了自双反函数在RM展开系数图(bj图)中的特点,讨论了自双反函数在函数分类中的应用.

Research on the properties of self-dual function

The definitions of dual function, self-dual function and majority function are discussed, the properties of self-dual function are proposed, which are proved by using the definitions above, the theorems and formulas in Boolean algebra. Some features of self-dual function are shown in b_j-map, and its application in the function classification is discussed. The result shows self-dual function classification is the briefest function classification in the algebraical classification of logical functions.