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In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomialAccording to the theorem, it is possible to expand the polynomial (x y) n into a sum involving terms of the form ax b y c, where the exponents b and c are nonnegative integers with b c = n, and the coefficient a of each term is a specific positive.
Cnxsa yy fbyj. Fermat's equation, x n y n = z n with positive integer solutions, is an example of a Diophantine equation, named for the 3rdcentury Alexandrian mathematician, Diophantus, who studied them and developed methods for the solution of some kinds of Diophantine equationsA typical Diophantine problem is to find two integers x and y such that their sum, and the sum of their squares, equal. Y Y 2 (m − 1)σ 2 σ σ 2 2 2 1 P (F (n−1)) × c) = (n−1),(m−1) > (m−1) × (The answer is the uppertail probability of an F distribution with (n−1), (m−1) degrees of freedom, equal to the probability of exceeding 2 2 2 1 ((n−1) × ((m−1) σ σ) × c) σ σ 2 2 2 1 = 1 and.
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