On Jul 11, 7:36 pm, Gerry Myerson <ge...@maths.mq.edi.ai.i2u4email> wrote: > In article > <4c1e3a16-63c5-470a-b617-8528f4005...@u6g2000prc.googlegroups.com>, > > MBALOVER <mbalov...@gmail.com> wrote: > > Hi all, > > > From WIKI, I learn that dirac delta function is not a true function. > > However, I do not understand the explanation in WIKI and still get > > confused, why it is not a TRUE function. > > > Could you please help me to understand it? > > > Thank you. > > A function from a set A to a set B is an assignment of > an element of B to each element of A. > > If A and B are not specified, it is often assumed that both > are taken to be the set R of real numbers. > > The Dirac delta function does not assign a real number to zero, > and is thus not a true function. > > -- > Gerry Myerson (ge...@maths.mq.edi.ai) (i -> u for email)
Thanks Gerry. But I am still confused. I think at x = 0, delta(x) = infinity. If so, y = -log(0) = + infinity too. Is y = - log(x) Not a true function?