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File: relations.png (109 KB, 1519x256)
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math is hard :( why is math and logic so hard?
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you can't bullshit math like almost everything else
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>>16536793
>infinites
>not bullshit
good try einstein
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File: 1000010583.jpg (862 KB, 3129x1215)
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>>16536782
does this level of detail suffice?
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>>16536823
I don't know, but you have very nice handwriting anon. I bet your hands are soft.
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>>16536793
Oh to be so naive again.
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math is counter natural, it's man made, it's a construct by the elite (every few maths guys were dirt poor). rationalism is a mistake, a disease, and the biggest rationalist fantasy was turned into a joke, by the rationalists themselves, as proven by the implosion of their shitty positivist movement.
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>>16537295
not really, math is dudes competing with each other to show how smart and clever they are, it's entirely natural
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>>16536782
it's not so much hard as it is gay. and it's gay because of mathematicians. seriously they're total fags. and they've adopted this weird idiom which is essentially german translated into english. it's just fucking terrible. terrible and gay. 'm-m-muh precise natural language' is the most unnatural, imprecise waffley faggotry you'll ever encounter. and it's basically just fashion. fuck they're gay.
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>>16537322
the dudes competing are effeminate pussies though, so it's not so much natural as it is hilarious. watching senior mathematicians 'debate' is basically like watching that destiny fag sperg out. there is nothing masculine about it.
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ITT: mathlets
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>>16536782
I don't remember any of this bs. I don't know if I should be proud or ashamed.
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Suppose R is a relation from A to B and S is a relation from B to C. Suppose Ran(R) is a subset of Dom(S). Suppose there is an arbitrary element a in Dom(R). Therefore there exists an a in A such that (a,b) is an element of R. So b is an element of Ran(R). Since Ran(R) is a subset of Dom(S) then b is also in Dom(S). Then we can say there exists some c in C such that (b,c) is an element of S. Thus (a,c) is an element of the composition of S and R, so a is an element of Dom(S*R). Thus if a is an element of Ran(R) then a is an element of Dom(S*R). Since a was arbitrary then Ran(R) is a subset of Dom(S*R).

I don't feel like proving the other direction of the equality so I'll leave it at that.
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>>16537682
I'm sorry I made a typo at the end. It should be Dom(R) not Ran(R).
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>>16536782
It's only hard for gays. Therefore OP is a faggot.
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>>16536810
nice reading comprehension
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>>16536782
No program to print every sentence in a language or something like that... Means there's no ultra instinct mentality you can have to conquer math. You just have to get lucky. On the other hand, there's no way you'll get lucky if you don't religiously memorize every known result, and warp your mind into convincing yourself that you "understand it intuitively." It's some really sick stuff us pure mathematicians do to ourselves. That's why I went into data science.



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