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'partial function'
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| Title of object: |
partial function |
| Canonical Name: |
PartialFunction |
| Type: |
Definition |
| Created on: |
2002-08-23 20:48:14.672207-04 |
| Modified on: |
2002-08-23 20:48:14.672207-04 |
| Classification: |
msc:03E20 |
| Defines: |
total function |
Preamble:
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Content:
If $f$ is a function such that $f:A\rightarrow B$ then for any $C$ such that $A\subseteq C$, $f$ is a \emph{partial function} from $C$ to $B$. $C$ is called the domain, and $B$ the codomain or range.
Functions which are not partial are sometimes called \emph{total functions}.
Clearly if $f$ is a function from $A$ to $B$ then it is a partial function from $A$ to $B$, but a partial function need not be defined for every element of its domain. |
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