User talk:StefanosNikolaou

Hey mate, Why you'd change the definition of the Dirac delta function back? In "The delta function as a measure" the integral is defined as f(0), but it the issue is what if it doesn't exist at 0; I think the correct definition is to average the limit from the left or right...

Hi, the definition you gave is for non-continuous functions. The article in this section referred to delta function as a measure that operates on continuous functions. If f is continuous, then $$f(0)=f(0+)=f(0-)=\frac{f(0+)+f(0-)}{2}$$. I don't tell that this definition is wrong but it is not needed for continuous functions.(If f doesn't exist at 0 then ,as you see, f is easily extendable at 0.) But I must remind you that we talk about dirac function as measure. A helpful link on this is http://en.wikipedia.org/wiki/Dirac_measure. You may put this definition in another section of this article. StefanosNikolaou 12:40, 21 November 2006 (UTC)