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=13605
Domain of definition. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Domain_of_definition&oldid=13605
This article was adapted from an original article by L.D. Kudryavtsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article