/sci/ - Science & Math

>>12762052
Niggers aint shit

>>12762052
if a man offers you 1 dollar then 2 dollars the next day then 3 dollars after that and so on until the end of time. he's actually trying to steal 1/12 of a dollar from you

>>12762052
There's a theorem about dynamical systems that says all continuous, flat, simply connected phase spaces with a certain amount of variables have attractors. Anyway, the set of all possible ways the arrangement of neurons in a persons brain can change over time satisfies the requirement, so there are certain mental patterns, somewhere in the space of all possible neuron patterns, that are inescapable and people, upon thinking them, will be stuck thinking that same thought in a loop forever.

2+2=5

e^(i*pi)+1=0. The single most beautiful and profound equation in mathematics... for intellectuals like myself, merely seeing this equation is enough to draw out tears as its awe inspiring magnificence fills me with every emotion at once. Let me post it again a few more times so you can get a good look at how beautiful it is.
e^(i*pi)+1=0.
e^(i*pi)+1=0.
Wow... Zero. One. Eulers constant e. The imaginary number i. The transcendental ratio pi. Not to mention every single fundamental operator is here too. All harmoniously intertwined in this symphony of an equation.
Even just the idea of raising a number to "i" is a bit ridiculous, then you multiply it by pi (a number with practically infinite digits, 90% of which still haven't been discovered) and decide fuck it, I'm going to pick e as the number I'm exponentiating! despite how complicated of a number e is as well. As you can see this process was so complicated that even Euler himself (the man who invented e) was only able to do it ONE time, and that's just part of what makes the equation so beautiful. And here's the cherry on top- by some miracle, as if God himself wanted to reward Euler for daring to make such a calculation- it JUST so happens that when you add 1 to the final result it equals zero. Meaning that the result was negative 1. And in case you couldn't figure it out, that's kind of a big fucking deal, because what Euler had done here is essentially PROVEN once and for all that there was numbers below zero, after years of mathematicians and scientists speculating about whether or not anything was actually down there. Perhaps one day another Euler will come along and discover the value of e^(i*e) or pi^(i*pi), or perhaps even (i*pi)^e. Personally I don't think such a thing will happen in our lifetime. We still haven't cracked the entire code behind e^(i*pi), so nobody knows exactly why it works yet. Its really beautiful that there's still so much out there for us to learn about math.
>mfw I see e^(i*pi)+1=0

>>12762303
xd

0.(9) != 1

identity = evaluation ÷ priority + preference

>>12762063
kek

OP = Faggot
Such a profoundly true statement

Pi is 4

>>12762052
1 is equal to one.

>>12762063
i understood that reference

>>12762950
Fuck off back to r*ddit newfag.

That discretization of a continuous time function can be modelled in the frequency domain as the complex map [math] f(z) = e^z [/math].

>>12762052
Real numbers do not actually exist in reality, only in mathematical concepts. There is no such thing as 1/3, no such thing as a perfect circle, etc. and the use of reals inherently only serves as an approximation of these concepts.

>>12762287
yeah but science realism is bogus, precisely due to the faith in the reality-existence of phase spaces

The Central Limit Theorem

e=mc^2
#ILoveScience#They/Them#HonkIfYouYiff

Cantor diagonalization argument unironically blew my mind

>>12762413
0.(9) = 0!

>>12763023
>There is no such thing as 1/3
There is no such thing as 1/10

>>12762052
I fucking love science

>>12764209
YASS SCIENCE

>>12763023
>no such thing as 1/3
>package of candies has three candies, give one to each of 3 people
>each got 1/3 package
I had to bite.
>each got 1/3 of

Monad is just a monoid in the category of endofunctors.

>>12762052
tarski
skolem-lowenheim

>>12764222
Yes

>>12764686
Semantics and missing the point; each got one third of 3 candies, 3/3 = 1. What I meant is there is no such thing in modern physics as one third of an absolute smallest value, of 1; there is no 1/3 of a quark.

hilbert nullstellensatz

>>12762052
this might sound pretentious, but pretty much any proof feels profound to me. i only study mathematics in my spare time (and not even anything beyond really basic analysis), but every proof and resultant theorem is just so gosh darn cool

Stokes theorem
>the integral of a differential form ω over the boundary of some orientable manifold Ω is equal to the integral of its exterior derivative dω over the whole of Ω

>>12762954
but he/she said he/she understood it. also, why the homophobia?

>>12762303
>90% of which still haven't been discovered
actually it's either 0%, or 100%, depends on how you look at it

>>12762052
is there anything's ng approaching a definition of "profound"?
I don't count "surprising to me" or "nice", so it's probably context dependent, and thus the answers will be strongly correlated with what math children happen to learn at school. This in turn turns it non-profound

>>12762052
The Church-Turing thesis.

pi^2 = g

>>12762052
>12762052
Compound interest