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In analysis, consider an integral transform T which transforms a function f into a function Tf given by the integral formula The function k(x,y) that appears in this formula is the kernel of the operator T.
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| kernel: Definition, Synonyms and Much More from Answers.com (964 words) |
 | In mathematics, especially algebra, kernels are general constructions which measure the failure of a homomorphism or function to be injective. |
| The kernel pair of a morphism f is defined as a pullback of f with itself. |
| In this same sense, in reference to integrals, it is a synonym for the part of the integrand that defines the integral transform. |
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