As coordinate functional be in linear algebra and in the topology designated special functions which the th component of a tuple , for example, the components of a supply column vector or the function value of a figure .
definition
Be a -Tuple and .
Then the -th coordinate function is defined as
.
The definition set and target set for can be defined differently depending on the context.
For a point there is then a -dimensional coordinate tuple in :
.
So there are coordinate functions for a total of , each of which supplies the -th coordinate for . The superscript indices should not be confused with powers or the derivative.