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  2. Bell number - Wikipedia

    en.wikipedia.org/wiki/Bell_number

    The Bell number counts the different ways to partition a set that has exactly elements, or equivalently, the equivalence relations on it. also counts the different rhyme schemes for -line poems. [1] As well as appearing in counting problems, these numbers have a different interpretation, as moments of probability distributions.

  3. Ordered Bell number - Wikipedia

    en.wikipedia.org/wiki/Ordered_Bell_number

    The number of alternative assignments for a given number of workers, taking into account the choices of how many stages to use and how to assign workers to each stage, is an ordered Bell number. [29] As another example, in the computer simulation of origami, the ordered Bell numbers give the number of orderings in which the creases of a crease ...

  4. Partition of a set - Wikipedia

    en.wikipedia.org/wiki/Partition_of_a_set

    The Bell numbers are repeated along both sides of this triangle. The numbers within the triangle count partitions in which a given element is the largest singleton . The number of partitions of an n -element set into exactly k (non-empty) parts is the Stirling number of the second kind S ( n , k ).

  5. Investigations in Numbers, Data, and Space - Wikipedia

    en.wikipedia.org/wiki/Investigations_in_Numbers...

    Investigations was developed between 1990 and 1998. It was just one of a number of reform mathematics curricula initially funded by a National Science Foundation grant. The goals of the project raised opposition to the curriculum from critics (both parents and mathematics teachers) who objected to the emphasis on conceptual learning instead of instruction in more recognized specific methods ...

  6. Bell polynomials - Wikipedia

    en.wikipedia.org/wiki/Bell_polynomials

    Bell polynomials. In combinatorial mathematics, the Bell polynomials, named in honor of Eric Temple Bell, are used in the study of set partitions. They are related to Stirling and Bell numbers. They also occur in many applications, such as in Faà di Bruno's formula.

  7. Pell number - Wikipedia

    en.wikipedia.org/wiki/Pell_number

    In mathematics, the Pell numbers are an infinite sequence of integers, known since ancient times, that comprise the denominators of the closest rational approximations to the square root of 2. This sequence of approximations begins ⁠ 1 1 ⁠, ⁠ 3 2 ⁠, ⁠ 7 5 ⁠, ⁠ 17 12 ⁠, and ⁠ 41 29 ⁠, so the sequence of Pell numbers begins ...

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