PermutationOrder Property |

Gets the order of the permutation.

**Namespace:**
Meta.Numerics.Functions
**Assembly:**
Meta.Numerics (in Meta.Numerics.dll) Version: 3.1.0.0 (3.1.0.0)

Syntax public long Order { get; }

Public ReadOnly Property Order As Long
Get

public:
property long long Order {
long long get ();
}

member Order : int64 with get

#### Property Value

Type:

Int64Remarks The order of a permutation is the number of times it must be applied in order to return all elements to their original position.
Stated differently, the order of a permutation is the smallest power to which it must be raised to obtain the identity permutation.

Some permutations with dimension greater than about 300 have an order larger than MaxValue; for these permutations
the returned value will overflow.

Note that the word order is also used to refer to the number of distinct permutations of a given dimension. That "order" is a property
of the permutation group. This "order" is a property of each permutation.

See Also