In the study of permutation patterns, there has been considerable interest in enumerating specific permutation classes, especially those with relatively...
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classes, enumerated by permutation length, is called a Wilf class. The study of enumerations of specific permutation classes has turned up unexpected...
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of permutations Enumerations of specific permutation classes Factorial Falling factorial Permutation matrix Generalized permutation matrix Inversion...
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countable. If a set is enumerable it will have an uncountable infinity of different enumerations, except in the degenerate cases of the empty set or (depending...
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a permutation of a set can mean one of two different things: an arrangement of its members in a sequence or linear order, or the act or process of changing...
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the permutation induced on { 1 , 2 , … , k + 1 } {\displaystyle \{1,2,\ldots ,k+1\}} is a Baxter permutation. Enumerations of specific permutation classes...
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Stanley–Wilf conjecture (category Permutation patterns)
growth rate of a permutation class. Enumerations of specific permutation classes for the growth rates of specific permutation classes. Albert, Michael...
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Permanent Permutation Enumerations of specific permutation classes Josephus permutation Permutation matrix Permutation pattern Permutation (disambiguation)...
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Wilf equivalence (redirect from Wilf class)
Wilf classes; they are the combinatorial classes of permutation classes. The counting functions and Wilf equivalences among many specific permutation classes...
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Combination (section Enumerating k-combinations)
combination is a selection of items from a set that has distinct members, such that the order of selection does not matter (unlike permutations). For example, given...
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power series of quotients (orbits) with respect to permutation groups, where we restrict the groups of degree n to the conjugacy classes Cl ( S n )...
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Double factorial (category Enumerative combinatorics)
where k = n + 1/2. The two copies of k must be adjacent; removing them from the permutation leaves a permutation in which the maximum element is k −...
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class group – Group of isotopy classes of a topological automorphism group Permutation group – Group whose operation is composition of permutations Regular...
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Bell number (section Permutations)
uniformly random permutation of the deck. Related to card shuffling are several other problems of counting special kinds of permutations that are also answered...
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Stirling numbers of the first kind arise in the study of permutations. In particular, the Stirling numbers of the first kind count permutations according to...
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SystemVerilog (section Classes)
verification. Within class definitions, the rand and randc modifiers signal variables that are to undergo randomization. randc specifies permutation-based randomization...
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provided for making heap from a range of elements, generating lexicographically ordered permutations of a range of elements, merge sorted ranges and perform...
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Magic square (section Enumeration of magic squares)
Every permutation of the rows or columns preserves all row and column sums, but generally not the two diagonal sums. If the same permutation p {\displaystyle...
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Inductive reasoning (redirect from Enumerative induction)
sample of other instances. Like an inductive generalization, an inductive prediction relies on a data set consisting of specific instances of a phenomenon...
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S2CID 39361123. Ten-hwang Lai; Shu-shang Wei (April 1997). "Bipartite permutation graphs with application to the minimum buffer size problem". Discrete...
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Principia Mathematica (redirect from Ramified Theory of Types)
p. Pp principle of tautology ✱1.3. ⊦: q .⊃. p ∨ q. Pp principle of addition ✱1.4. ⊦: p ∨ q .⊃. q ∨ p. Pp principle of permutation ✱1.5. ⊦: p ∨ ( q ∨...
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the y element of an ordered pair (x, y) Partially ordered set Complete partial order Permutation, the act of arranging all the members of a set into some...
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Permanent (mathematics) (redirect from Permanent of a matrix)
(i)}.} The sum here extends over all elements σ of the symmetric group Sn; i.e. over all permutations of the numbers 1, 2, ..., n. For example, perm (...
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variable X be the number of fixed points of a uniformly distributed random permutation of a finite set of size m. Then the nth moment of X is E ( X n ) = ∑...
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Census (category Wikipedia articles in need of updating from June 2024)
be derived from census enumerations. In some countries, the census provides the official counts used to apportion the number of elected representatives...
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Catalan number (category Enumerative combinatorics)
Generalized Dyck Paths, Electronic Journal of Combinatorics online Dershowitz, Nachum; Zaks, Shmuel (1980), "Enumerations of ordered trees", Discrete Mathematics...
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minor. A graph G is permutationally representable if it can be represented by a word of the form p1p2...pk, where pi is a permutation. On can also say that...
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short descriptions of redirect targets Permutations – Mathematical version of an order changePages displaying short descriptions of redirect targets Symmetry –...
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if any of the variables are interchanged, one obtains the same polynomial. Formally, P is a symmetric polynomial if for any permutation σ of the subscripts...
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to be a bipartite graph. The problem is however tractable on some specific classes of graphs, for instance it is tractable on cographs. The maximal independent...
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