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In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.According to the theorem, the power (+) expands into a polynomial with terms of the form , where the exponents and are nonnegative integers satisfying + = and the coefficient of each term is a specific positive integer ...
In mathematics, an expansion of a product of sums expresses it as a sum of products by using the fact that multiplication distributes over addition. Expansion of a polynomial expression can be obtained by repeatedly replacing subexpressions that multiply two other subexpressions, at least one of which is an addition, by the equivalent sum of products, continuing until the expression becomes a ...
The sharp series limit is the same as the diffuse series limit. In the late 1800s these two were termed supplementary series. In 1896 Arthur Schuster stated his law: "If we subtract the frequency of the fundamental vibration from the convergence frequency of the principal series, we obtain the convergence frequency of the supplementary series". [5]
In number theory, an Euler product is an expansion of a Dirichlet series into an infinite product indexed by prime numbers.The original such product was given for the sum of all positive integers raised to a certain power as proven by Leonhard Euler.
Define the Hadamard canonical factors ():= = / Entire functions of finite order have Hadamard's canonical representation: [1] = = (/) where are those roots of that are not zero (), is the order of the zero of at = (the case = being taken to mean ()), a polynomial (whose degree we shall call ), and is the smallest non-negative integer such that the series = | | + converges.
Levothyroxine is a frequently prescribed drug in the United States, particularly for older people, as lower thyroid function can be associated with aging. Questions remain over how appropriately ...
More shoppers than ever are on track to use ‘buy now, pay later’ plans this holiday season, as the ability to spread out payments looks attractive at a time when Americans still feel the ...
Holiday shoppers are falling into the Gap early."Our holiday season is off to a strong start," Gap CEO Richard Dickson told Yahoo Finance on Thursday. "It gives us the confidence to raise our ...