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1 разложение по формуле бинома
1) Mathematics: binomial expansion, expansion by binomial theorem2) Makarov: expansion by the binomial theoremУниверсальный русско-английский словарь > разложение по формуле бинома
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2 теорема разложения
разложение в ряд — expansion into a series; expansion
См. также в других словарях:
binomial theorem — n. the general formula for the expansion of any binomial when raised to a power that is a positive whole number; the expansion of (a + b) n: discovered by Omar Khayyám and generalized by Sir Isaac Newton (Ex.: (a + b) 2 = a2 + 2ab + b2) … English World dictionary
Binomial theorem — The binomial coefficients appear as the entries of Pascal s triangle. In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial. According to the theorem, it is possible to expand the power… … Wikipedia
binomial theorem — Math. the theorem giving the expansion of a binomial raised to any power. [1865 70] * * * In algebra, a formula for expansion of the binomial (x + y) raised to any positive integer power. A simple case is the expansion of (x + y)2, which is x2 +… … Universalium
binomial theorem — noun a theorem giving the expansion of a binomial raised to a given power • Topics: ↑statistics • Hypernyms: ↑theorem • Part Holonyms: ↑probability theory, ↑theory of probability … Useful english dictionary
binomial theorem — noun Date: 1753 a theorem that specifies the expansion of a binomial of the form (x + y)n as the sum of n + 1 terms of which the general term is of the form n!/((n k)! k!) x(n k) yk where k takes on values from 0 to n … New Collegiate Dictionary
binomial theorem — bino′mial the′orem n. math. the theorem giving the expansion of a binomial raised to any power • Etymology: 1865–70 … From formal English to slang
binomial theorem — noun A formula giving the expansion of a binomial such as raised to any positive integer power, i.e. . Its possible to expand the power into a sum of terms of the form where the coefficient of each term is a positive integer. For example … Wiktionary
binomial theorem — n. mathematical formula that provides the expansion of a binomial raised to any power … English contemporary dictionary
binomial distribution — Statistics. a distribution giving the probability of obtaining a specified number of successes in a finite set of independent trials in which the probability of a success remains the same from trial to trial. Also called Bernoulli distribution.… … Universalium
Binomial probability — typically deals with the probability of several successive decisions, each of which has two possible outcomes. Definition The probability of an event can be expressed as a binomial probability if its outcomes can be broken down into two… … Wikipedia
Binomial coefficient — The binomial coefficients can be arranged to form Pascal s triangle. In mathematics, binomial coefficients are a family of positive integers that occur as coefficients in the binomial theorem. They are indexed by two nonnegative integers; the… … Wikipedia