>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?
>>16777052qrd?
>>16777130ITT: 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
>>16777130Dirac 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.
>>16777052This is just a sloppier version of the indicator function.
>>16777172Suppose 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.
>>16777177ok…use it in a calculation.
>>16777194
>>16777221write it all out.
>>16777225No
>>16777052I wonder what the one true finite faith are going to say about this,
>>16777194Source charge has charge density q d(r) where d(r) is the delta function. Then coulombs law utilizes this and the integrals are trivial.
>>16777052I 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>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!
>>16777052
>>16777179No it isn't.
>>16777052It 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 physicalHello, positive real exponential terms in wavefunctions.
