The commutative law of addition can be used to freely permute terms into any preferred order.
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Then permute it cyclically until its first and last notes are as close together as possible.
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Galois theory concerns transformations of number fields that permute the roots of an equation.
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Choose randomly G or H, and randomly permute its vertices.
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There are 24 possible ways to permute these four roots, but not all of these permutations are members of the Galois group.
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More examples
Change the order or arrangement of; "Dyslexics often transpose letters in a word"
In mathematics, the notion of permutation is used with several slightly different meanings, all related to the act of permuting (rearranging in an ordered fashion) objects or values. Informally, a permutation of a set of values is an arrangement of those values into a particular order. ...
To change the order of something; To make a permutation
(permuter) Device used in crypto-equipment to change the order in which the contents of a shift register are used in various nonlinear combining circuits. [CNSSI] (see also cryptography)