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What exactly is kernel in mathematics?

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Re: kernel

Hmm.. Is there only one KERNEL in mathematics? :D

Anyway, as far as I know, there is a kernel in integral transforms.

The integral transform ∫f(x)K(s,x)dx transforms the function f(x) from the x domain to the s domain. In this integral, K(s,x) is known as the kernel of the integration.

Hope this helps.
 

Re: kernel

In mathematics, "kernel" has a number of meanings depending on the context. See here,

http://en.wikipedia.org/wiki/Kernel_(mathematics)
 

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