- In mathematics, a
codomain or set of
destination of a
function is a set into
which all of the
output of the
function is
constrained to fall. It is the...
- function's
codomain,
there exists at
least one
element x in the function's
domain such that f(x) = y. In
other words, for a
function f : X → Y, the
codomain Y...
- set X is
called the
domain of the
function and the set Y is
called the
codomain of the function.
Functions were
originally the
idealization of how a varying...
-
expressions from the
codomain) are
related or
mapped to each other. A
function maps
elements from its
domain to
elements in its
codomain.
Given a function...
- two
closely related concepts: the
codomain of the function, or the
image of the function. In some
cases the
codomain and the
image of a
function are the...
-
produced is
called the
codomain, but the set of
actual values attained by the
operation is its
codomain of definition,
active codomain,
image or range. For...
-
function f : X → Y {\displaystyle f\colon X\to Y} , the set Y is
called the
codomain: the set to
which all
outputs must belong. The set of
specific outputs...
-
mathematical sets is a
function such that each
element of the
second set (the
codomain) is the
image of
exactly one
element of the
first set (the domain). Equivalently...
- that maps
distinct elements of its
domain to
distinct elements of its
codomain; that is, x1 ≠ x2
implies f(x1) ≠ f(x2) (equivalently by contraposition...
- (x,y).} If the
metric ρ {\displaystyle \rho } is
viewed here as
having codomain R {\displaystyle \mathbb {R} } (the set of all real numbers), this implies...
