/sci/ - Science & Math

>The Dirac delta function as the limit (in the sense of distributions) of the sequence of zero-centered normal distributions

this old joke seems to have gone for way too long now

>>10670484
>drop soap in lab, bend over to pick it up
>Professor's pants start resembling [math]X(f)=\frac{BBC}{2T}\sum_{m=-\infty}^\infty (1-(-1)^m)\delta(f-\frac{m}{2T}) [/math]

>>10365611
[math]X(f)=\frac{BBC}{2T}\sum_{m=-\infty}^\infty (1-(-1)^m)\delta(f-\frac{m}{2T}) [/math]

Whoops looks like you dropped this science boi

The dirac delta function is a *generalized* function which is 0 everywhere but at x=0, yet has an area of 1 under the graph.
(Not actually a function, more of a limit to a series of functions)
https://en.m.wikipedia.org/wiki/Dirac_delta_function

>>8630658

tie them to the real line and take the limit of the normal distribution as the variance goes to zero. they get impaled on the dirac delta spike, pic related

mathfags will defend this

>Dirac delta """""""""""""""""""function"""""""""""""""""""""