The Theory Is To Adjust The Parameters On Everything One Does When Interrupted For Pacifism Because Names Around It Are Funny To I, Angel Hellstrom Jose Robles
The Theory Is To Adjust The Parameters On Everything One Does When Interrupted For Pacifism Because Names Around It Are Funny To I, Angel Hellstrom Jose Robles
by Angel234IsTheDarkSeraphim April 15, 2025
Get the The Theory Is To Adjust The Parameters On Everything One Does When Interrupted For Pacifism Because Names Around It Are Funny To I, Angel Hellstrom Jose Robles mug.Field of abstract algebra dealing with how different symmetries relate to each other (e.g. are they equal? parts of each other? "multiply" to give some other group we want?)
There's a nice VISUAL introduction to group theory which is (imo) watchable at mid-high school levels (15+ yo ish): 3Blue1Brown's video currently titled "Group theory, abstraction, and the 196883-dimensional monster"
by mb6fbhsphdrcb April 23, 2025
Get the Group theory mug.Category theory, *very basically*, is the study of functions. ANY functions. ANYTHING that changes some object to another object is fair game here. Because of this FUNDAMENTAL property of "changing stuff into other stuff" being everywhere (lambda calculus, programming, normal math functions, even) it can reason about MANY disciplines of math, programming, and even language! So basically, it's universal tools for many things. Pretty useful! :)
My buddy has a PhD in pure mathematics and says.. "Studying category theory is like eating your vegetables." Not sure what that means but it has never left my mind. // Also it is technically composition not functions but shh we don't want to scare away the people who just saw this definition straight away
by mb6fbhsphdrcb April 23, 2025
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