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Bell polynomials
also called Complete Bell polynomials and has 2 more synonyms

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  1. named in honor of Eric Temple Bell, are given by ≦ft(x₁\over 1!\right)ʲ_¹≦ft(x₂\over 2!\right)ʲ_²∙s≦ft(xn₋k₊₁ \over (n-k+1)!\right)ʲ_ⁿ⁻ᵏ⁺¹, the sum extending over all sequences j1, j2, j3, ..., jn−k+1 of non-nega

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on February 16, 2009
  2. a term from combinatorial mathematics

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on February 16, 2009
  3. Faà di Bruno's formula may be stated in terms of Bell polynomials as follows: Similarly, a power-series version of Faà di Bruno's formula may be stated using Bell polynomials as follows

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on February 16, 2009
  4. Let xnᵏ♢ be the nth term of the sequence Then

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on February 16, 2009
  5. The sum is sometimes called the nth complete Bell polynomial

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on February 16, 2009
  6. If the integer n is partitioned into a sum in which "1" appears j1 times, "2" appears j2 times, and so on, then the number of partitions of a set of size n that collapse to that partition of the integer n when the members of the set become indistingu

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on February 16, 2009
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