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BUILT-IN MATHEMATICA SYMBOL
Cycles
Cycles[{cyc1, cyc2, ...}]
represents a permutation with disjoint cycles 
.
Details
- The cycles
of a permutation are given as lists of positive integers, representing the points of the domain in which the permutation acts. - A cycle
represents the mapping of the 
to 
. The last point 
is mapped to 
. - Points not included in any cycle are assumed to be mapped onto themselves.
- Cycles must be disjoint, that is, they must have no common points.
- Cycles objects are automatically canonicalized by dropping empty and singleton cycles, rotating each cycle so that the smallest point appears first, and ordering cycles by the first point.
- Cycles[{}] represents the identity permutation.
New in 8
