fix (transformation action)
Let be a set, and a transformation of that set. We say that is fixed by , or that fixes , whenever
The subset of fixed elements is called the fixed set of , and is frequently denoted as .
We say that a subset is fixed by whenever all elements of are fixed by , i.e.
If this is so, restricts to the identity transformation on .
The definition generalizes readily to a family of transformations with common domain
In this case we say that a subset is fixed, if it is fixed by all the elements of the family, i.e. whenever
|Title||fix (transformation action)|
|Date of creation||2013-03-22 12:26:12|
|Last modified on||2013-03-22 12:26:12|
|Last modified by||rmilson (146)|