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A graphical representation of a partially built propositional tableau. In proof theory, the semantic tableau [1] (/ t æ ˈ b l oʊ, ˈ t æ b l oʊ /; plural: tableaux), also called an analytic tableau, [2] truth tree, [1] or simply tree, [2] is a decision procedure for sentential and related logics, and a proof procedure for formulae of first-order logic. [1]
A tableau vivant (French: [tablo vivɑ̃]; often shortened to tableau; pl. tableaux vivants; French for 'living picture') is a static scene containing one or more actors or models. They are stationary and silent, usually in costume, carefully posed, with props and/or scenery , and may be theatrically illuminated .
A Littlewood–Richardson tableau. A Littlewood–Richardson tableau is a skew semistandard tableau with the additional property that the sequence obtained by concatenating its reversed rows is a lattice word (or lattice permutation), which means that in every initial part of the sequence any number occurs at least as often as the number +.
In mathematics, a Young tableau (/ t æ ˈ b l oʊ, ˈ t æ b l oʊ /; plural: tableaux) is a combinatorial object useful in representation theory and Schubert calculus.It provides a convenient way to describe the group representations of the symmetric and general linear groups and to study their properties.
In combinatorial mathematics, the hook length formula is a formula for the number of standard Young tableaux whose shape is a given Young diagram.It has applications in diverse areas such as representation theory, probability, and algorithm analysis; for example, the problem of longest increasing subsequences.
The type partition ρ specifies that the tableau must be filled with three 1's, three 2's, one 3, and one 4. There are six such border-strip tableaux: Example of the border-strip tableaux involved in computing a particular symmetric group character value using the non-recursive Murnaghan-Nakayama rule.
The Robinson–Schensted correspondence is a bijective mapping between permutations and pairs of standard Young tableaux, both having the same shape.This bijection can be constructed using an algorithm called Schensted insertion, starting with an empty tableau and successively inserting the values σ 1, ..., σ n of the permutation σ at the numbers 1, 2, ..., n; these form the second line ...
Tableau, another term for a table of data, particularly: Cryptographic tableau, or tabula recta, used in manual cipher systems; Division tableau, a table used to do long division; Method of analytic tableaux (also semantic tableau or truth tree), a technique of automated theorem proving in logic