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  2. Young tableau - Wikipedia

    en.wikipedia.org/wiki/Young_tableau

    A Young tableau is obtained by filling in the boxes of the Young diagram with symbols taken from some alphabet, which is usually required to be a totally ordered set. Originally that alphabet was a set of indexed variables x 1 , x 2 , x 3 ..., but now one usually uses a set of numbers for brevity.

  3. Jeu de taquin - Wikipedia

    en.wikipedia.org/wiki/Jeu_de_taquin

    There are various ways to associate a word (in the sense of combinatorics, i. e., a finite sequence of elements of an alphabet—here the set of positive integers) to every Young tableau. We choose the one apparently most popular: We associate to every Young tableau T the word obtained by concatenating the rows of T from the bottom row to the ...

  4. Kostka number - Wikipedia

    en.wikipedia.org/wiki/Kostka_number

    For any partition , the Kostka number is equal to 1: the unique way to fill the Young diagram of shape = (, …,) with copies of 1, copies of 2, and so on, so that the resulting tableau is weakly increasing along rows and strictly increasing along columns is if all the 1s are placed in the first row, all the 2s are placed in the second row, and so on.

  5. Standard Young tableaux - Wikipedia

    en.wikipedia.org/?title=Standard_Young_tableaux&...

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  6. Semistandard Young tableaux - Wikipedia

    en.wikipedia.org/?title=Semistandard_Young...

    Language links are at the top of the page across from the title.

  7. Connecticut to award nearly $6 million to family of disabled ...

    www.aol.com/connecticut-award-nearly-6-million...

    Connecticut is set to pay nearly $5.9 million to the family of a disabled man who was wrongly imprisoned in his 1992 murder conviction before he was freed in 2015.

  8. File:Young tableaux for 541 partition.svg - Wikipedia

    en.wikipedia.org/wiki/File:Young_tableaux_for...

    Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts.

  9. Hook length formula - Wikipedia

    en.wikipedia.org/wiki/Hook_length_formula

    Let = be a partition of = + +.It is customary to interpret graphically as a Young diagram, namely a left-justified array of square cells with rows of lengths , …,.A (standard) Young tableau of shape is a filling of the cells of the Young diagram with all the integers {, …,}, with no repetition, such that each row and each column form increasing sequences.

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