In mathematics, the permutationcategory is a category where the objects are the natural numbers, the morphisms from a natural number n to itself are the...
In mathematics, 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...
A permutation test (also called re-randomization test or shuffle test) is an exact statistical hypothesis test making use of the proof by contradiction...
cryptography, a pseudorandom permutation (PRP) is a function that cannot be distinguished from a random permutation (that is, a permutation selected at random with...
and theoretical computer science, a permutation pattern is a sub-permutation of a longer permutation. Any permutation may be written in one-line notation...
concerning two finite sets, which include the classical problems of counting permutations, combinations, multisets, and partitions either of a set or of a number...
In cryptography, a transposition cipher (also known as a permutation cipher) is a method of encryption which scrambles the positions of characters (transposition)...
In cryptography, a permutation box (or P-box) is a method of bit-shuffling used to permute or transpose bits across S-boxes inputs, retaining diffusion...
group of permutations) determines a faithful functor G → Set. Since every group acts faithfully on itself, G can be made into a concrete category in at least...
paths (sets of transpositions) that connect two vertices (permutations). Two permutations connected by an edge differ in only two places (one transposition)...
Aut(X) if the category is clear from context. In set theory, an arbitrary permutation of the elements of a set X is an automorphism. The automorphism group...
irreducible representation can in fact be realized over the integers (every permutation acting by a matrix with integer coefficients); it can be explicitly constructed...
group as a permutation group, acting on itself (X = G) by means of the left regular representation. In many cases, the structure of a permutation group can...
In mathematics, especially in category theory and homotopy theory, a groupoid (less often Brandt groupoid or virtual group) generalises the notion of group...
endofunctions on S one finds permutations of S and constant functions associating to every x in S the same element c in S. Every permutation of S has the codomain...
manifolds. A symplectomorphism is an isomorphism of symplectic manifolds. A permutation is an automorphism of a set. In geometry, isomorphisms and automorphisms...
odd/even permutation property of the ghost leg. An odd number of legs represents an odd permutation, and an even number of legs gives an even permutation. It...
group imply that ρ(g) is a bijection (or permutation) for all g in G. Thus we may equivalently define a permutation representation to be a group homomorphism...
Ashgate. Permutation padlock. Found in Google Books. [1] Improvement in permutation padlocks Google Books.[2] "IMPROVEMENT IN TUMBLERS FOR PERMUTATION-LOCKS"...
1 is always the most significant bit. This table specifies the input permutation on a 64-bit block. The meaning is as follows: the first bit of the output...
"The Isolation Permutation" is the eighth episode of the fifth season of the US sitcom The Big Bang Theory and the 95th episode of the show overall. It...
are a permutation of the set {1,...,n}. The permutation i′ is selected randomly, with equal probabilities placed on all n! possible permutations. This...
bijective function from a set to itself is also called a permutation, and the set of all permutations of a set forms its symmetric group. Some bijections with...
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