order of permutation

order of permutation
排列的階

English-Chinese dictionary. 2013.

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  • Permutation — For other uses, see Permutation (disambiguation). The 6 permutations of 3 balls In mathematics, the notion of permutation is used with several slightly different meanings, all related to the act of permuting (rearranging) objects or values.… …   Wikipedia

  • permutation — [pʉr΄myo͞o tā′shən] n. [ME permutacion < MFr < L permutatio < permutare: see PERMUTE] 1. any radical alteration; total transformation 2. a) a complete rearrangement, esp. by interchanging b) Math. any of the total number of groupings, or …   English World dictionary

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  • Permutation matrix — In mathematics, in matrix theory, a permutation matrix is a square (0,1) matrix that has exactly one entry 1 in each row and each column and 0 s elsewhere. Each such matrix represents a specific permutation of m elements and, when used to… …   Wikipedia

  • Permutation group — In mathematics, a permutation group is a group G whose elements are permutations of a given set M , and whose group operation is the composition of permutations in G (which are thought of as bijective functions from the set M to itself); the… …   Wikipedia

  • Order (mathematics) — Contents 1 In algebra 2 In arithmetic 3 In analysis 4 …   Wikipedia

  • Order dimension — A partial order of dimension 4 (shown as a Hasse diagram) and four total orderings that form a realizer for this partial order. In mathematics, the dimension of a partially ordered set (poset) is the smallest number of total orders the… …   Wikipedia

  • Permutation graph — In areas of mathematics influenced by graph theory, a permutation graph is the intersection graph of a family of line segments that connect two parallel lines in the Euclidean plane. Equivalently, given a permutation ( sigma;1, sigma;2, sigma;3 …   Wikipedia

  • order — orderable, adj. orderer, n. orderless, adj. /awr deuhr/, n. 1. an authoritative direction or instruction; command; mandate. 2. a command of a court or judge. 3. a command or notice issued by a military organization or a military commander to… …   Universalium

  • permutation — permutational, adj. permutationist, n. /perr myoo tay sheuhn/, n. 1. the act of permuting or permutating; alteration; transformation. 2. Math. a. the act of changing the order of elements arranged in a particular order, as abc into acb, bac, etc …   Universalium

  • Permutation — In mathematics, one of several ways of arranging or picking a set of items. The number of permutations possible for arranging a given a set of n numbers is equal to n factorial (n!). So, a set of three numbers can be arranged as: 3x2x1 = 6… …   Investment dictionary

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