Thread 16777052

>our equations keep exploding into infinity
>we can't get any meaningful information out of them
>let's invent a new infinity!
>we'll divide the problem infinity by the new infinity so the infinities cancel out!
Surely Dirac was taking the piss, no?

>>16777052 (OP)
qrd?

>>16777130
ITT: I haven't learned measure theory once in my life because I didn't go to maths grad school
https://en.wikipedia.org/wiki/Dirac_measure

>>16777130
Dirac delta function.
It's a "function" which is infinitely tall and infinitely thin at x=0. A vertical ray.

It is used as a mathematical model of an infinitely strong impulse.
Practically speaking, it's just used to cancel out functions that explode to infinity because they're infinitely wide.

>>16777052 (OP)
This is just a sloppier version of the indicator function.

>>16777172
Suppose a particle is at some location and it is no longer there. We have all possible locations it could be at, but the problem is that no locations are connected because the universe isn't a real space. Where the particle is found comes from an impossible operation.

>>16777177
ok…use it in a calculation.

>>16777221
write it all out.

>>16777225
No

>>16777052 (OP)
I wonder what the one true finite faith are going to say about this,

>>16777194
Source charge has charge density q d(r) where d(r) is the delta function. Then coulombs law utilizes this and the integrals are trivial.

>>16777052 (OP)
I like it cause it idealizes the concept of a sample in time. Including change in charge.
I can't think of anything else to do with it though.

>>16777052 (OP)
>Surely Dirac was taking the piss, no?
Dirac was simply a minion of SATAN.
Infinity itself is merely a device invented by HELL SPAWNED DEVIL WORSHIPERS to hopelessly obfuscate mathematics with absurdities. To turn innocents away from the reality of the Universe.
Redemption can only come through GOD. Reality exists as the finite and the discrete.
I urge you all to seek enlightenment through THE ONE TRUE FINITE FAITH. Together we shall overthrow the HERETICS and reclaim the HOLY LAND of mathematics for the glory of GOD!

>>16777179
No it isn't.

>>16777052 (OP)
It was probably first introduced by Cauchy. Laurent Schwartz made the idea precise with his theory of distributions.

>>16777507
> Drops divergent terms everywhere because they probably cancel and if not they probably aren't physical
Hello, positive real exponential terms in wavefunctions.