A binary operation * over real numbers is said to be associative if (x * y) * z = x * (y * z) and it is said to be reducible if x * y = x * z or y * w = z * w if and ...

In the late 1930s, Claude Shannon showed that by using switches that close for "true" and open for "false," it was possible to carry out logical operations by assigning the number 1 to "true" and 0 ...

Considering a binary operation as a ternary relation permits certain sections of the latter (which are functions) to be used in representing an abstract semigroup as a family of the self-maps of its ...