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Major index

Index Major index

In mathematics (and particularly in combinatorics), the major index of a permutation is the sum of the positions of the descents of the permutation. [1]

4 relations: Combinatorics, Mathematics, Percy Alexander MacMahon, Permutation.

Combinatorics

Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Percy Alexander MacMahon

Percy Alexander MacMahon (born 26 September 1854, Sliema, British Malta – 25 December 1929, Bognor Regis, England) was a mathematician, especially noted in connection with the partitions of numbers and enumerative combinatorics.

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Permutation

In mathematics, the notion of permutation relates to the act of arranging all the members of a set into some sequence or order, or if the set is already ordered, rearranging (reordering) its elements, a process called permuting.

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References

[1] https://en.wikipedia.org/wiki/Major_index

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