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 | + | 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 computer science, the kernel is the part of the operating system through which the hardware and software communicate. | + | In [[computer science]], the kernel is the part of the [[operating system]] through which the hardware and software communicate. |
==References== | ==References== | ||
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[[Category:Geometry]] | [[Category:Geometry]] | ||
| + | [[Category:Algebra]] | ||
| + | [[Category:Computer Science]] | ||
Revision as of 01:56, January 16, 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.
In computer science, the kernel is the part of the operating system through which the hardware and software communicate.