Domain of definition
From Encyclopedia of Mathematics
of a function
The set on which the function considered is given, that is, the collection 
of all elements 
with each of which the given function 
associates an element 
of some set 
. Thus, if 
, then 
is called the domain of definition of 
.
Comments
The set of values of 
, i.e. 
if 
denotes the domain of definition, is called the range of values of 
.
How to Cite This Entry:
Domain of definition. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Domain_of_definition&oldid=24822
Domain of definition. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Domain_of_definition&oldid=24822
This article was adapted from an original article by L.D. Kudryavtsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article