Difference between revisions of "Kernel (geometry)"
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In [[abstract algebra]], the '''kernel''' of a [[function]] between two [[group_(mathematics)|group]]s is the set of all members of the first which map to the identity of the second. Similarly, the '''kernel''' of a mapping in [[linear algebra]] from one [[vector space]] to another is the set of vectors mapped to the zero [[vector]]. | In [[abstract algebra]], the '''kernel''' of a [[function]] between two [[group_(mathematics)|group]]s is the set of all members of the first which map to the identity of the second. Similarly, the '''kernel''' of a mapping in [[linear algebra]] from one [[vector space]] to another is the set of vectors mapped to the zero [[vector]]. | ||
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| + | ==References== | ||
| + | {{reflist}} | ||
==See also== | ==See also== | ||
*[[operation system kernel]] | *[[operation system kernel]] | ||
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[[Category:Geometry]] | [[Category:Geometry]] | ||
[[Category:Algebra]] | [[Category:Algebra]] | ||
[[Category:Computer Science]] | [[Category:Computer Science]] | ||
Revision as of 06:07, November 20, 2009
The kernel in geometry is the set of all points a such that for all points b inside a polygon P, the segment ab lies entirely within P [1].
In abstract algebra, the kernel of a function between two groups is the set of all members of the first which map to the identity of the second. Similarly, the kernel of a mapping in linear algebra from one vector space to another is the set of vectors mapped to the zero vector.