The Gelfond-Schneider theorem states that if a and b are algebraic numbers, a is not zero or one, and b is irrational then ab is a transcendental number. For example, the theorem guarantees that 22 is transcendental by applying the result with a=2 and...

In mathematics, the Gelfond–Schneider theorem is a result which establishes the transcendence of a large class of numbers. It was originally proved in 1934 by Aleksandr Gelfond and again independently proved in 1935 by Theodor Schneider. The...

Essentially, the bisection theorem implies that all network parameters may be derived from [Z.sub.e] and [Z.sub.o]. If a circuit has two ports and is symmetrical about a central plane, the bisection theorem may be used to calculate [S.sub.22] = [S.sub.11] and [S.sub.21]...

Numerous graduate students in agricultural education have studied Prosser's 16 Theorems. Charles Prosser, an early leader in vocational education and a major architect of the Smith-Hughes Act, developed these theorems. Prosser's 16 Theorems are general statements on how vocational education programs should be operated....