|
|
|
|
|
Let $R$ be a binary relation. Then the set of all $y$ such that $x R y$ for some $x$ is called the range of $R$ That is, the range of $R$ is the set of all second coordinates in the ordered pairs of $R$
In terms of functions, this means that the range of a function is the full set of values it can take on (the outputs), given the full set of parameters (the inputs). Note that the range is a subset of the codomain.
|
"range" is owned by akrowne.
|
|
(view preamble | get metadata)
Cross-references: codomain, subset, parameters, functions, ordered pairs, coordinates, binary relation
There are 43 references to this entry.
This is version 2 of range, born on 2001-11-19, modified 2002-12-12.
Object id is 967, canonical name is Range.
Accessed 10735 times total.
Classification:
| AMS MSC: | 03E20 (Mathematical logic and foundations :: Set theory :: Other classical set theory ) |
|
|
|
|
|
|
Pending Errata and Addenda
|
|
|
|
|
|
|
|
|
|
|
