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单词 binomial theorem
释义
binomial theorem

Physics
  • A rule for the expansion of a binomial expression (expression consisting of the sum of two variables raised to a given power). The general binomial expression (x+y)n expands to:

    xn+nxn-1y+[n(n-1)/2!]xn-2y2++yn.


Statistics
  • The theorem that gives the expansion of the nth power, where n is a non-negative integer, of a binomial:binomial theoremwherebinomial theoremThe binomial coefficient is often written as nCr (see combination). Setting a=b=1 gives the relationbinomial theoremThe theorem appears in the 1742 Treatise of Fluxions by Maclaurin.


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