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What (who) is cyclic permutation - definition
Cyclic permutation
![Matrix]] of <math>\pi</math>](https://commons.wikimedia.org/wiki/Special:FilePath/4-el perm matrix 14.svg?width=200 "Matrix]] of <math>\pi</math>")
TYPE OF (MATHEMATICAL) PERMUTATION WITH NO FIXED ELEMENT
Transposition (mathematics); Circular permutation; Adjacent transposition; Circular Permutation; Anticyclic permutation
In mathematics, and in particular in group theory, a cyclic permutation (or cycle) is a permutation of the elements of some set X which maps the elements of some subset S of X to each other in a cyclic fashion, while fixing (that is, mapping to themselves) all other elements of X. If S has k elements, the cycle is called a k-cycle.
Cyclic peptide
![α-Amanitin]]](https://commons.wikimedia.org/wiki/Special:FilePath/Alpha-amanitin structure.png?width=200 "α-Amanitin]]")
![[[Bacitracin]]](https://commons.wikimedia.org/wiki/Special:FilePath/Bacitracin.svg?width=200 "[[Bacitracin]]")
![[[Ciclosporin]]](https://commons.wikimedia.org/wiki/Special:FilePath/Ciclosporin.svg?width=200 "[[Ciclosporin]]")
PEPTIDE CHAINS WHICH CONTAIN A CIRCULAR SEQUENCE OF BONDS
Cyclic peptides; Peptides, cyclic; Cyclic polypeptides; Cyclic protein; Cyclic polypeptide; Cyclopeptides; Cyclopeptide; Peptide macrocycle
Cyclic peptides are polypeptide chains which contain a circular sequence of bonds. This can be through a connection between the amino and carboxyl ends of the peptide, for example in cyclosporin; a connection between the amino end and a side chain, for example in bacitracin; the carboxyl end and a side chain, for example in colistin; or two side chains or more complicated arrangements, for example in amanitin.
Cyclic order
TERNARY RELATION THAT IS CYCLIC (IF [𝑥,𝑦,𝑧] THEN [𝑧,𝑥,𝑦]), ASYMMETRIC (IF [𝑥,𝑦,𝑧] THEN NOT [𝑧,𝑦,𝑥]), TRANSITIVE (IF [𝑤,𝑥,𝑦] AND [𝑤,𝑦,𝑧] THEN [𝑤,𝑥,𝑧]) AND CONNECTED (FOR DISTINCT 𝑥,𝑦,𝑧
Cyclic sequence; Circular order; Circular ordering; Total cyclic order; Cyclically ordered set; Cyclic ordering; Complete cyclic order; Linear cyclic order; L-cyclic order; Circularly ordered set
In mathematics, a cyclic order is a way to arrange a set of objects in a circle. Unlike most structures in order theory, a cyclic order is not modeled as a binary relation, such as "".
