# major index

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## 3 matching pages

##### 1: 26.16 Multiset Permutations

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►The definitions of inversion number and major index can be extended to permutations of a multiset such as $351322453154\in {\U0001d516}_{\{{1}^{2},{2}^{2},{3}^{3},{4}^{2},{5}^{3}\}}$.
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##### 2: 26.14 Permutations: Order Notation

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►The

*major index*is the sum of all positions that mark the first element of a descent: ►
26.14.2
$$

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►The major index is also called the *greater index*of the permutation. …##### 3: Preface

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►Olver was responsible for organizing and editing the mathematical content after receiving it from the authors; for communicating with the associate editors, authors, validators, and other technical experts; and for assembling the Notations section and the Index.
…Boisvert and Clark were responsible for advising and assisting in matters related to the use of information technology and applications of special functions in the physical sciences (and elsewhere); they also participated in the resolution of major administrative problems when they arose.
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►Youssef was responsible for mathematics search indexing and query processing.
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Abdou Youssef, Mathematics and Search Indexing, George Washington University and NIST