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User:SamHB/Surjection (view source)
Revision as of 03:52, December 15, 2015
, 03:52, December 15, 2015Restore a sandbox page that had been deleted by an admin in 2009.
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A '''surjection''' or '''surjective function''' is a mapping (or [[User:SamHB/Function|function]]) between two [[set]]s, that is "onto". This means that the function "hits" every point in the range. That is, no point in the range isn't mapped to.
In other words, a surjection from set A to set B is a mapping such that every element in B has some element in A mapped to it. For example, one surjection between the sets {X, Y, Z} and {1, 2}, maps: X to 1, Y to 2, and Z also to 2. If we were use this map instead: X to 1, Y to 1, and Z to 1, it would fail to be "onto" because nothing maps to 2.
For further information, see [[User:SamHB/Bijection|bijection]]
[[Category:Mathematics]]
[[Category:Set theory]]
Note: This article has wikilinks into my sandbox.
These need to be changed if it is moved to the main article space.
A '''surjection''' or '''surjective function''' is a mapping (or [[User:SamHB/Function|function]]) between two [[set]]s, that is "onto". This means that the function "hits" every point in the range. That is, no point in the range isn't mapped to.
In other words, a surjection from set A to set B is a mapping such that every element in B has some element in A mapped to it. For example, one surjection between the sets {X, Y, Z} and {1, 2}, maps: X to 1, Y to 2, and Z also to 2. If we were use this map instead: X to 1, Y to 1, and Z to 1, it would fail to be "onto" because nothing maps to 2.
For further information, see [[User:SamHB/Bijection|bijection]]
[[Category:Mathematics]]
[[Category:Set theory]]