On Sat, 17 Nov 2007, Uur Güney wrote:
When you let the bottom side's length of a triangle shaped function to go to zero, for preserving its area, its height goes to infinity. Dirac Delta Function is defined as this limiting case,
It can also be defined using any of a variety of functions of various shapes. You could do it by making a sequence of Gaussian distributions whose variances converge to zero, for example.
(actually it is not a function, but a distribution. :-) Its behavoir is very pathologic for a function. Distributions are more general.)
Yeah, you can actually write it as being the derivative of the step function, but you can't compute that derivative, as long as you need to stick with continuous functions, so you have to get rid of it algebraically, with some identities that make the nonsensical computations disappear.
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