Domain In Math Definition

Domain mathematical analysis from wikipedia the free encyclopedia in mathematical analysis a domain is any connected open subset of a finite dimensional vector space.

Domain in math definition. Domain function range example. The domain of a functionis the set of its possible inputs i e the set of input values where for which the function is defined. In mathematics the domain or set of departure of a function is the set into which all of the input of the function is constrained to fall.

The set of prime numbers is infinite based on wordnet 3 0 farlex clipart collection. The output values are called the range. It is the set x in the notation f.

When the function f x x2 is given the values x 1 2 3 then the domain is simply those values 1 2 3. However this coincidence is no longer true for a partial function. 2003 2012 princeton university farlex inc.

X y and is alternatively denoted as. This is a different concept than the domain of a function though it is often used for that purpose for example in partial differential equations and sobolev spaces. Since a function is defined on its entire domain its domain coincides with its domain of definition.