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Injective, Surjective, Bijective
In the function mapping
, the domain is all
values and the range is all
values.
If
implies
, the function is called injective, or one-to-one.
If for any
in the range there is an
in the domain so that
, the function is called surjective, or onto.
If both conditions are met, the function is called bijective, or one-to-one and onto.
Contributed by:
Ed Pegg Jr
SNAPSHOTS
RELATED LINKS
Bijection
(
Wolfram
MathWorld
)
Domain
(
Wolfram
MathWorld
)
Function
(
Wolfram
MathWorld
)
Injection
(
Wolfram
MathWorld
)
One-to-One
(
Wolfram
MathWorld
)
Range
(
Wolfram
MathWorld
)
Surjection
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Injective, Surjective, Bijective
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/InjectiveSurjectiveBijective/
Contributed by:
Ed Pegg Jr
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