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Double counting (proof technique): Combinatorics, Combinatorial proof, Set (mathematics), Vandermondes identity, Square pyramidal number, Lubell-Yamamoto-Meshalkin inequality -

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2026-03-16
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In combinatorics, double counting, also called counting in two ways, is a combinatorial proof technique that involves counting the size of a set in two ways in order to show that the two resulting expressions for the size of the set are equal. In this technique, which van Lint & Wilson (2001) call "one of the most important tools in combinatorics," one describes a finite set X from two perspectives leading ... Täydellinen kuvaus

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In combinatorics, double counting, also called counting in two ways, is a combinatorial proof technique that involves counting the size of a set in two ways in order to show that the two resulting expressions for the size of the set are equal. In this technique, which van Lint & Wilson (2001) call "one of the most important tools in combinatorics," one describes a finite set X from two perspectives leading to two distinct expressions for the size of the set. Since both expressions equal the size of the same set, they equal each other.

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Julkaisija OmniScriptum
Julkaisuvuosi 2026
Kannen tyyppi Pehmeäkantinen
EAN 9786130646837
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Arvostelet: Double counting (proof technique): Combinatorics, Combinatorial proof, Set (mathematics), Vandermondes identity, Square pyramidal number, Lubell-Yamamoto-Meshalkin inequality
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118,39 € 182,14 €