SkipCaptcha, Automoderated users, edit
3,266
edits
Changes
Jump to navigation
Jump to search
User:SamHB/Injection (mathematics) (view source)
Revision as of 03:51, December 15, 2015
, 03:51, December 15, 2015Restore a sandbox page that had been deleted by an admin in 2009.
{{Template:Math-m}}
Note: This article has wikilinks into my sandbox.
These need to be changed if it is moved to the main article space.
An '''injection''' or '''injective function''' is a mapping (or [[User:SamHB/Function|function]]) between two [[set]]s, that is "one-to-one". This means that it never maps two different points in the domain to the same point in the range.
In other words, an injection from set A to set B is a mapping such that every element in A is mapped to a distinct element in B. For example, one injection from the set {X, Y, Z} to the set {1, 2, 3, 4}, maps: X to 1, Y to 2, and Z to 3. If we were use this map instead: X to 1, Y to 2, and Z also to 2, it would fail to be one-to-one because Y and Z both map to the same result.
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.
An '''injection''' or '''injective function''' is a mapping (or [[User:SamHB/Function|function]]) between two [[set]]s, that is "one-to-one". This means that it never maps two different points in the domain to the same point in the range.
In other words, an injection from set A to set B is a mapping such that every element in A is mapped to a distinct element in B. For example, one injection from the set {X, Y, Z} to the set {1, 2, 3, 4}, maps: X to 1, Y to 2, and Z to 3. If we were use this map instead: X to 1, Y to 2, and Z also to 2, it would fail to be one-to-one because Y and Z both map to the same result.
For further information, see [[User:SamHB/Bijection|bijection]]
[[Category:Mathematics]]
[[Category:Set theory]]