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单词 combination
释义
combination

Mathematics
  • A synonym for selection.


Statistics
  • An unordered selection of r objects from a set of n (≥r) different objects. The number of different combinations is often denoted by nCr or nCr. In fact,combinationis the binomial coefficient. Special values are nC0=1, nCn=1, nC1=n.

    A frequently used relationship iscombinationwhich is the defining relationship for Pascal's triangle. For ordered selection, see permutation.


Computer
  • 1. A subset of a finite set of elements. The number of combinations of n distinct objects taken k at a time is

    nCk = n!/[k!(nk)!]

    2. A method of combining functions in a parallel manner (compare composition). For functions f and g,

    f:STandg:UV
    the combination f × g is such that
    f×g:S×UT×V
    where S × U and T × V are Cartesian products, and
    (f×g)(s,u)=(f(s),g(u))
    (see ordered pair).


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