# 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://www.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