Difference between revisions of "Kernel (geometry)"
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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'' <ref>http://www.patentstorm.us/patents/7305116-claims.html</ref>. | 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'' <ref>http://www.patentstorm.us/patents/7305116-claims.html</ref>. | ||
| − | 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. | + | 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]]. |
==See also== | ==See also== | ||
Revision as of 19:37, January 28, 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.