The Curious World of Probability Generating Functions #SoME2

I largely followed James Martin's notes and notation as this is where I actually learned about probability generating functions in the first place as an undergrad.

I edited this video using Windows 11's version of movie maker and believe me when I say it is really bad! There are some obvious mistakes but I didn't find it worth to re-edit and rerecord because it would have messed up all the timings so it is what it is.

Enjoy being serenated by my wonderfully performed jazz improv in Bb Ionian (major--if you insist); that's the key. I tried to include some form of music and this was what I came up with.

[wdobni]

that was didn't understand a single word of any part of i found the confidence with which you seemed to indicate that something sensible and rational was being described to be me it was hieroglyphics

this was very reminiscent of quantum mechanics and for a moment it seemed like a bit of cosmology with a showering of particles in branching chains after the rumored big bang

i congratulate you on having a mind that is fluent in this symbolic mysterious language

[valoraz]

Well explained connections between different branches of mathematics brought together by generating functions

[dorrkdk]

Nice encourage you to make more videos u r talented

[pra.]

Wow, I definitely don't know enough probability for the theory, but the applications are cool nonetheless

[anilkumarsharma]

Is negative❎ probability are impossible 😝😝😝😝🤣🤣🤣🤣🤣😂😂😂😂

[tedsheridan]

My dude, straighten up your slides! My neck hurts.