3. The Gaussian kernel
When we take the limit as the inner scale goes down to zero, we get the mathematical delta function, or Delta-Dirac function, d (x). This function, named after Dirac (1862-1923) is everywhere zero except in x = 0, where it has infinite amplitude and zero width, its area is unity. lims 0 J þ þþ þþ þþþþ þþþþþþþþ 1! !!!!! ! 2p s e-
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