binomial theorem love

binomial theorem

Definitions

from The American Heritage® Dictionary of the English Language, 4th Edition

  • n. Mathematics The theorem that specifies the expansion of any power (a + b)m of a binomial (a + b) as a certain sum of products aibj, such as (a + b)2 = a2 + 2ab + b2.

from Wiktionary, Creative Commons Attribution/Share-Alike License

  • n. A formula giving the expansion of a binomial such as raised to any positive integer power, i.e. . It's 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:

from the GNU version of the Collaborative International Dictionary of English

  • adj. the theorem which expresses the law of formation of any power of a binomial.
  • n. See under Binomial.

from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.

  • n. a theorem giving the expansion of a binomial raised to a given power

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