mathfags will defend this

>>8421915
put it under an integral and have it pick out exactly the value you want
you're welcome

>Dirac_function_approximation.gif
>Dirac_function
>function

triggered

>>8421942
It's not a function, how can you put it under an integral

>>8421915
>physics fags will defend this
ftfy

File: we_happen_to_be_experst_on_the_subject.jpg (67KB, 850x637px) Image search: [Google]

67KB, 850x637px

>>8421946
Except that distributions are literally dual to the functional spaces under consideration with respect to the inner product induced by the [math]L^1[/math] norm, meaning that distributions are given meaning by integrating it against a function. Integration is literally what distributions are made to do.

>>8421949
this
>>8421946
faggot
there is a function representation of the dirac distribution so you can put it under an integral and it does what you want

Someone learn me this.

>>8421915
>not approximating it with sinc

0/100

>>8422017
A probability space on a real line with measure 1 concentrated at the single point, x=0.

>>8422050
So basically a coin with tails on both sides?

A bit of a gimmick arguably, but how is that mathematically controversial?

>>8422484
vertical line test

>>8421994
>L^1 norm
>induces inner product
Pick one

>>8422484

>So basically a coin with tails on both sides?
Except with an uncountable infinite amount of eventualities rather than just the two.
>How is that mathematically controversial?
Because physicists like to write that measure as a real function multiplying the Lebesgue measure. Which is kind of dumb because that would mean that that function has to vanish everywhere except for a negligeable ensemble and the Lebesgue integration would always yield 0.

>>8421946
By defining it as a measure.