/sci/ - Science & Math

>>9179051

0 = 2

>>9179051

your mom + me = you

come home son

>>9179051
0.99999... = 1

[math]
1+2+3+... = - \frac{1}{12}
[/math]

π = 3

P = UI

>>9179180
thanks, engineer

>>9179055
1+0 = 0.5

>>9179055
meme'd

>>9179058
What slow down there slugger we know we just aren't as smart as you, leave some intellect for the rest of us

>>9179061
edgy as shit

>>9179064
Any constant looks important if you extend it into multiple pages

>>9179082
the equation that gets every brainlet into a twist

>>9179083
dude -1/12 lmao

>>9179180
>>9179192 said it best

>>9179196
extra meme'd

[math]\int_\mathcal{M}d\omega=\int_{\partial\mathcal{M}}\omega[\math]

[math]\int_\Omega d\omega=\int_{\partial\Omega}\omega[/math]

>>9179051
[eqn] \delta \mathcal { S } = 0 [/eqn]
It's sooooo elegant you guys.

Not an equation, but powerful nonetheless:
If [math]\phi: G \longrightarrow H [/math] is a group homomorphism, then
[math] H \cong G / \text{ker}\phi [/math]

"The First Group Isomorphism Theorem"

>>9179321
dumbass

>>9179333
surjective

>>9179322
>generalized stokes theorem
>powerful

You're a small fry.

>>9179051
Such shitty rendering on the font compared to the picture. Makes it look like a poor attempt at making this seem overly illustrious

>>9179333
>not the isomorphism theorems for universal algebras
wanna know how i know you're a brainlet?

>>9179051
1 + 2 + 3 + 4... = -1/12

e^pi + i = -1 + 0

>>9179373
look at this https://ncatlab.org/nlab/show/Stokes+theorem
>the standard model of particle physics is just a special case of stokes theorem

>>9179482
That's... highly misleading

>>9179482
>>9179490
Let me be more specific. Differential forms and related subjects (along with a whole lot of Lie theory and ) allows us to write down possible components of the Action in a manifestly covariant (and gauge invariant) way, and to relate the quantities to one another. Simple application of Stoke's theorem allows a theory with a small subset of these possible terms to be solved exactly in the classical regime. These are useful for studying vacuum field configurations - among other things.

The standard model is all of those possible terms in 4-dimensional spacetime that keeps the theory *renormalizable* which cannot be understood through these means. Stokes theorem has nothing to say about why terms like

[math]c_6\int d^4x \text{Tr}(F \wedge F)\phi^2(x)[/math]

shouldn't be included in a low energy effective action of the standard model.

>>9179490
You've been cucked, physishit. He cucked you by fucking your slutty equation in the pussy and then in the ass.

>>9179051
Not an equation, but inverse function theorem is goat.

>>9179051

>>9179509
>autistic garbling

>>9179322
THANK YOU!

[math]G_{\mu \nu} = \frac{8 \pi G}{c^4} T_{\mu \nu}[/math]

>>9179575
always liked it

>>9179585
I've got it tattooed on my leg kek

[math]\lim_{J\to\infty} \frac{J}{s}[/math] is pretty powerful

>>9179587
Why would you do that to yourself?

<

>>9179587
pics plus timestamp

>>9179387
Being pedantic is a brainlet mechanism.

P = NP

>>9179830

>>9180317
hey there ape

>>9180324
kek

>>9180317
>Using SI
Wew lad.
>>9180334
Heisenberg equation > Schrödinger equation

>>9179058
calm down satan

>>9180355
i wasn't feeling well setting c=1 man...i could also just write [math]G_{\mu \nu}=\kappa T_{\mu \nu}[/math]

>>9180317
>not natural units

>>9180364
again read above

>>9180115
It's not pedantism, you just chose the thing that you get taught in high school. It's like answering this with, say, fundamental theorem of calculus, when Stoke's theorem exists.

people = shit

>>9180317
nigger detected

>>9180416
thats just his slave branding, carry on fellow citizen

>>9180416
>>9180419
kek im white

>>9179058
People who write exp{...} should kill themselves.

>>9179058
>doesn't say what W is

>>9180422
It is beneficial to use exp(x) instead of e^x when the argument is really long. When you do e^(something) latex tends to write that something in smaller text, making it harder to read.

In calculus the worse you will deal with is shit like e^(3x^2) so you are good but in real math like number theory the arguments of the exponential get fucking crazy and it would be madness to write that as e^(something). Same reason we do log instead of ln. Looks clearer when you have shit like loglogloglog instead of lnlnlnlnln

>>9179553
underrated

>>9180426
It stands for Wombo

>>9180459
>We do
Actual mathematicians do. You do not

>>9181667

>>9181423
niceee

>>9179051
Log likelihood

>>9179051
In gaudy color for added beauty.

[math]{a}^{2} + {b}^{2} = {c}^{2}[/math]

>>9183806
underrated

>>9179051
Neil Degrasse Tyson + a popsci culture = a board which constantly shits on some guy who is, at most, pretentious at times all because a group of people worship him because "oh look black man doing science!"

I call it the /sci/ equation, powerful no?

>>9179051
Qen/e0 = int(E.A)


even though I have no fucking idea how it works

>>9185686
first of all learn how to write it dude:

[math]\oint \vec{E} \cdot d\vec{A} = \frac{q_{enc}}{\epsilon_0}[/math]

>>9179454
it should be e^pi * i = -1

4 is very important
4+1=5

>>9186009
>i*e^pi=-1
ah yes

>>9183806
>Not the cosine rule
The fuck outta here

>>9179553
came here to post this
U did alright m8

>>9180317
>be faggot
>have never done anything of substance or meaning in my life
>get by on 'lol i am le smarty gifted genius boy' meme as my only source of self-esteem
>use my superior intellect to choose the ideal, most interesting, substantial, personally-meaningful thing possible to permantly ink on my skinnyfat appendage
eureka.f90

>>9183806
lol this is good

>>9185645
i would respond to your post but i don't want to dignify it with a response

>>9186003
>Americans in charge of notation.

[eqn] \oint _S \mathbf E \cdot \mathbf S = \frac{Q}{\epsilon_0}

>>9186170
>complains about notation
>posts broken retard screeching

>>9186178
>>9186170

forgot the closing tag.

[eqn]\oint _S \mathbf E \cdot \mathbf S = \frac{Q}{\epsilon_0}[/eqn]

>>9186213
and the d.

[eqn] \oint _S \mathbf E \cdot d \mathbf S = \frac{Q}{\epsilon_0}[/eqn]

>>9186213
>>9186215
lol rekt

>>9179051
[math]P = \frac{dW}{dt}[\math]

>>9186371
fagg

>>9179051
[eqn] P = \frac{dW}{dt} [\eqn]

>>9179051
What's this PDE represent?

>>9186215
how did you make the integral larger??

>>9186396

it's euler lagrange, the solution is a function which extremizes a the functional

[math]S[y] = \int L(y,\dot{y},t)dt[/math]

>>9186429
[math]\delta S =0[/math]

>>9186438

this is just a restatement of the pde in the op.

>>9186424

I'm black.

>>9186447
ik isn't is more beautiful that way tho?
>>9186552
K.

>>9179058
Shouldn't the fundamental nature of things be.... simpler??

>>9180459
Sets are not expressions you stupid.

>>9179051
P=I*E
It calculates electrical power and it spells pie. Can an equation be any more powerful?

>>9186593

>implying we've found the true fundamental nature

>>9186623

[eqn]80085 = 80085[/eqn]

check mate

>>9179509
>The standard model is all of those possible terms in 4-dimensional spacetime that keeps the theory *renormalizable* which cannot be understood through these means. Stokes theorem has nothing to say about why terms like
are you saying that stoke's theorem is limited because it doesn't predict physics?

>>9180317
holy shit kill yourself

>>9186666
quads don't lie

If you don't understand this, you need to get out of /sci/.

[math]\rho (\frac{\partial \textbf{v}}{\partial t}+\textbf{v} \cdot \nabla \textbf{v}) = -\nabla p + \nabla \cdot \textbf{T} + \textbf{f} [\math]

>>9179575
that's Einstein's field equations!

>>9187586
Well duh, it's chapter 1 of the bible.

>>9187586
Could physics be any uglier?

>>9187586
That's fucking disgusting

>>9180426
it's the partition function of the Standard Model

>>9180317
What is it like to meet someone who would do this in real life? Do they just spew autism all over you?

>>9187603
I wanna fuck christ-chan so hard that she converts to pagan worshipping of my penis!

sin(x)=x

>>9179051
>muh equation

>>9179051
P(A|B) = P(A) P(B|A) / P(B)

i2 = -1

>>9179051
this is the most powerful sequence

0, 1, 1, 2, 3, 5, 8, 13, 21, 34 .... 1.618, this is where you find God

>>9186642
>implying it exists

>>9187586
>not using the covariant derivative or hermitian conjugate symbols
>not using Feynman slash notation
>not grouping together the weak isospin charged objects into matrices and vectors
I you don't get that this is an obvious joke way of writing the Standard Model Lagrangian you don't belong here. It would make it funnier though if someone could expand this further by forgetting Einstein summation too.
>>9179058
a kind of neat summation of what we experimentally know for sure at the moment.
>>9180317
Remove it and work out before you get too old.

>>9189308
[math]\varphi[/math] is not the limit of the Fibonacci sequence, my mentally-impaired friend.

>>9189357
then how does 1+2+3+4+,,,=-1/12?

>>9189357

>>9189375
nice b8

>>9179051
[eqn]L_{{{\text{o}}}}({\mathbf x},\,\omega _{{{\text{o}}}},\,\lambda ,\,t)\,=\,L_{e}({\mathbf x},\,\omega _{{{\text{o}}}},\,\lambda ,\,t)\ +\,\int _{\Omega }f_{r}({\mathbf x},\,\omega _{{{\text{i}}}},\,\omega _{{{\text{o}}}},\,\lambda ,\,t)\,L_{{{\text{i}}}}({\mathbf x},\,\omega _{{{\text{i}}}},\,\lambda ,\,t)\,(\omega _{{{\text{i}}}}\,\cdot \,{\mathbf n})\,\operatorname d\omega _{{{\text{i}}}}[/eqn]

>>9189357

It's the limit of the ratio of consecutive terms [math] F_{n+1} / F_n [/math]

>>9179082

What?

No it doesn't...

>>9179083

That's impossible, adding positive numbers will NEVER get you a negative result

>>9189669
whats that all about anon?

>>9189669
Radiative transfer equation, I presume. Every field of science that uses is tends to write it slightly differently..

Euler's one

>>9179288
Holy shit so much cringe in a single post

>>9189983
>>9189990 is on the money. Search up "The Rendering Equation" to learn more.

>>9179051
>923 and 33 are the two most important numbers in free masonry
>Illuminati founded in 1776
>United States founded in 1776
>1776 is used to calculate 923 in free masonry look up what this means yourself
>The last eclipse like the one we just had was in 1776
>9/23 is 33 days after the eclipse
>The next one is 7 years away
>Tribulations in the book of revelations last 7 years
>Revelations written by the free masons
>Revelations is not prophesy it is an eyewitness account of cyclical event prob caused the floods in the bible and Epic Of Gilgamesh just a theory
>The pyramids mark this exact date not just the Egyptian ones but all over the world including Antarctica
>Free masons built the pyramids
>Israel founded in 1917 because of the faked holocaust in order to fulfill biblical prophecy and match the dates precisely for 9/23
>>9191052

>>9189357
didn't say it was full blown retard, it is progressive to phi which is why 1.618, sorry trying to sound smart by insulting someone for explaining something you don't understand was such a fail for you

>>9189357
>Not knowing 1.618 is φ

>>9181423
Euler identity
Reimann equation
What's the other one

>>9191118
*riemann zeta fcn

>>9180426
>>9179058
It stands for [Why]. As in, why things are the way they are.

>>9179058
Please explain to a literal retard how this is supposed to predict anything.

>>9191354
A classical field theory is defined by some action [math]S\left[ \varphi \right] = \int {{\operatorname{d} ^4}x\mathcal{L}\left( {\varphi ,\partial \varphi } \right)} [/math], where phi is the field, in the sense that you can use the principal of least action to derive the equations of motion of the theory.


A quantum field theory is defined by a path integral [math]Z = \int {\mathcal{D}\varphi \exp \left( {iS\left[ \varphi \right]} \right)} [/math] in the sense that all amplitudes can theoretically be given by something like [math]\left\langle {\varphi \left( {{x_1}} \right)...\varphi \left( {{x_n}} \right)} \right\rangle = \frac{1}{Z}\int {\mathcal{D}\varphi \exp \left( {iS\left[ \varphi \right]} \right)\varphi \left( {{x_1}} \right)...\varphi \left( {{x_n}} \right)} [/math].

This procedure is almost always perturbative, so the integral in the picture has a cutoff k<lambda for renormalization purposes. Although the gravitational portion can't be renormalized and only works at low energies.

>ywn find a general solution

>>9179051
Obligatory Taylor Series

>>9186593
Yes, that's why string theory has such a simple description. It essentially boils down to:
>0) Replace states by operators
>1) Integrate over geometries
>2) Sum over topologies

>>9187718
The standard model isn't particularly pretty, but writing out the full Lagrangian like that ensures that it looks as ugly as possible. If you think of the standard model in terms of the underlying geometry and symmetry with certain matter fields you can avoid all of that complexity: the standard model is an SU(3)xSU(2)xU(1) gauge theory with three generations of massive fermionic matter. Isn't that a large part of what makes mathematics beautiful -- the ability to take something of incredible complexity and reduce it to a few simple principles?
The choice of gauge group is rather arbitrary, which has spurred theoretical physicists to look for even simpler models underelying the standard model, such as grand unification and, ultimately, string theory. You're essentially concluding that algebra is ugly because one can write down ugly, bloated algebraic formulae, instead of seeing the beauty underlying all such formulae.

>>9187603
Thats actually kind of a neat way to imagine the bible

>>9187603
>God called the light "energy" and the darkness "matter"
nice heresy

(p1+v1^2/2g+z1)=(p2+v2^2/2g+z2)+hl

2+2=5 by dostoevsky

>>9179051
op = faggot

[math]\ddot{\sigma_{r}} = \frac{m\phi_{v}}{\frac{(\partial{v}}{\partial{r}}}[/math]

- Free energy = negentropy - kullback liebler divergence.

Potentially the most powerful equation in all systems science.

Very important linear algebra theorem
[eqn]
A = \int_{\sigma(A)}\lambda dE_\lambda
[/eqn]

>>9195294

>linear algebra

>>9187586
nice arithmetic with letters faggot

>>9195294
just use [math] dE_\lambda = v_\lambda v_\lambda^T d\mu[/math] where [math] \mu [/math] is the counting measure and [math] v_\lambda [/math] the eigenvector for [math] \lambda [/math]
and you get a linear algebra theorem :^)

>>9191118
Stroke's theorem

>>9191098
>because of the faked holocaust
ah /sci/ isnt full of brainlets

>>9191397
Whats that pitchfork symbol? And the weird L? and the backwards 6? And the fancy D? and exp? All amplitudes of what? what is the motion of the theory? what is k<lambda? What is renormalization?

Other than that, totally got it.

for sure entropy > 0

most fundamental of all laws and the reason why we can use quantum mechanics is that it makes c the 'base'

op here
i made this thread when i was high af like i am rn lol
thats why i used "powerful"

>>9179058
What units will W have? I mean like meters-per-second or miles-per-gallon or something.

>>9196143

Joules (energy)

>>9193974
this

[math]\text{Piggot=} \lim_{x\to\infty} \int\limits_{faggot}^{x} pig(x) dx[/math]

[math]\vec{F}=q\vec{E} + q\vec{v} \times \vec{B}[/math]

>>9179051
Gibbs-Duhem

>>9179051
This

>>9188843

only good one in the thread

>>9198236
And this

>>9179051
420 = 69

[math]\hat{H}| \psi(t) \rangle = i \hbar \frac{\partial}{\partial t} | \psi (t) \rangle[/math]

>>9179553
U=RI

>>9179055


ah, the lovely [math]\mathbb{Z}_2[/math] arithmetic

>>9189683

>-1/12

A non-convergent series can be rearranged to equal anything.

[math]1=1[/math]

>>9198722
0 = 0

>>9198369

*conditionally convergent