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- W335086411 abstract "This chapter discusses networks with biposition contacts. Any function of one variable generated by a polynomial is equal to a function generated by a polynomial of the first degree. Four functions of one variable are the very four functions generated by the four polynomials of first degree. The function generated by a polynomial of first degree f ( x ) = ax + b takes on the values f (0) = b, f (l) = a + b , hence a = f (0) + f (1) and thus, f ( x ) = x [ f (0) + f (1)] + f (0). This formula is called the interpolation formula. It proves that if f (0) and f (1) are given, there is a polynomial of first degree generating the function f ( x ). The chapter presents the first fundamental theorem that states that any function of n variables f ( x 1 ,….., x n ) is equal to a function f A ( x 1 ,….., x n ) generated by a polynomial A of the first degree in each variable, and this polynomial A is determined uniquely modulo 2 by the function f ." @default.
- W335086411 created "2016-06-24" @default.
- W335086411 creator A5071583779 @default.
- W335086411 date "1969-01-01" @default.
- W335086411 modified "2023-09-27" @default.
- W335086411 title "NETWORKS WITH BIPOSITION CONTACTS" @default.
- W335086411 doi "https://doi.org/10.1016/b978-0-08-010148-4.50006-2" @default.
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