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/sci/ - Science & Math


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7028969 No.7028969 [Reply] [Original]

Post your favorite formula math and physic
(mine is S=k log W)

>> No.7028978

>>7028969
>not S = -k*sum(p_i*ln(p_i),i)

Really?

>> No.7028986

>>7028969
f(x)=O(n•log(n))

>> No.7028992

f(aggot) = OP

>> No.7028997

Barnet's identity

>> No.7029001

Generalized Stokes Theorem yo

>> No.7029009

<span class="math">\cos{\pi}+\sinh{i \pi} = 12 \sum_{n > 0}n[/spoiler]

>> No.7029021
File: 3 KB, 810x57, 4f820d0939928ab4bf06b2921edc1e21.png [View same] [iqdb] [saucenao] [google]
7029021

>>7028969
mine is inclusion exclusion principle

>> No.7029037

>>7028978

<span class="math">\delta S = 0 [/spoiler]

>> No.7029048

>>7029037
You are missing Lagrange multipliers, bro

>> No.7029049

>>7028969
U=0

Conservation of everything.

>> No.7029051

>>7029048
No I'm not.

>> No.7029053

>>7029051
If you are referring to the entropy, yes you are. You are missing the condition that sum(p_i,i) = 1 and mean value of quantum operators (Hamiltonian, particle number or whatever you want).

>> No.7029055

>>7029053
I should add: unless you are referring to the microcanonical ensemble.

>> No.7029057

>>7028969
P = NP

>> No.7029059

>>7029057
kek

>> No.7029064

>>7028978
fucking physicists using excel pls go

>> No.7029066

>>7029064
I have never used Excel for anything, nor I have it installed. More so, I don't know ANY physicists that use Excel for anything. I just didn't want to write the math tags.

>> No.7029067

>>7029009
pls go

>> No.7029068

>>7029053
<span class="math">S[/spoiler] is action you retard.

>> No.7029069

>>7029066
latex doesn't use parenthesis you closet physicist

>> No.7029070

>>7028969
I know its not what you asked but I am particularly fond of the functional equation T(t+s) = T(t)T(s).

>> No.7029072

>>7029068
Since OP and I both wrote entropy (S too), I thought you were referring to it.

You shouldn't write the variation alone, you should specify respect to what you are making the variation it (could be a field, a metric, coordinates).

>>7029069
So fucking what? I just invented that notation because I thought it was clear. Take the stick out of your ass the next time you post.

>> No.7029076

>>7028969
Euler's Identity. Pretty awesome. Used in so many branches of physics and math.

>> No.7029079

>>7029072
>You shouldn't write the variation alone, you should specify respect to what you are making the variation it (could be a field, a metric, coordinates).
1. Don't tell me what to do
2. I'm not even the guy
3. Everybody knows that fucking equation, how can you even assume it has anything to do with entropy?

>> No.7029080

>>7029079
>Everybody knows that fucking equation, how can you even assume it has anything to do with entropy?

Aren't you aware how to find those probabilities in this equation >>7028978 ?

>> No.7029083

>>7029072
How could that notation be clear? The summation index is the last argument of the function. You really must be a physicist since you're so butthurt about this lol. When i was an undergrad all my phy friends used excel or origin, I know a physicist when i see one.

>> No.7029085

>>7029083
How couldn't it? It's pretty obvious which one is the argument and which one the index.
All the physicist I know (including undergrad) use either MATLAB or Phyton

>> No.7029086

>>7029085
>Phyton
*Python

>> No.7029094

>>7028969
Quadratic Formula

>> No.7029096
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7029096

>>7029085
If it's so obvious and this is your own notation why specify the index at all then? Physicist logic...

>> No.7029098

>>7029096
Because I'm not the only one reading it?

>> No.7029122

>>7029098
Then why would you think it was obvious if you're taking newfags into consideration?

PHY
H
Y

>> No.7029159

Y=mX+b

>> No.7029200

>>7029072
> You shouldn't write the variation alone, you should specify respect to what you are making the variation it (could be a field, a metric, coordinates).
I've never seen it written any other way.
Link to some literature?

>> No.7029211
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7029211

>>7028992
Kek

>> No.7029221

>>7029200
For example, if you have the following action:

<span class="math">S_{M}[\phi ; g_{\mu \nu}] = \int \sqrt{g} d^{4}x L_{M}(\phi,\partial_{\alpha} \phi ; g_{\mu \nu})[/spoiler]

Then, <span class="math">\frac{\delta S_{M}}{\delta \phi}[/spoiler] will give you the motion equations and <span class="math">]\frac{\delta S_{M}}{\delta g^{\mu \nu}} = -\frac{\sqrt{g}}{2} T_{\mu \nu} [/spoiler]. will give you]

>> No.7029225

>>7029221
*and

<span class="math">\frac{\delta S_{M}}{\delta g^{\mu \nu}} = -\frac{\sqrt{g}}{2} T_{\mu \nu} [/spoiler]

>> No.7029235
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7029235

geneticist intruding on your thread and there's nothing you can do about it.

hamilton's rule

r * B > C

simplest shit ever, applies to the evolution of the genes for all the weird behavioral shenanigans with kin selection

>> No.7029523

Maxwell or bust fegits

>> No.7029723

e=mc vagina

>> No.7029741

Haha nerds I've still yet to master the equation for a line haha

>> No.7029971

>>7029066
>I just didn't want to write the math tags.
Didn't want to, or don't know how to?

>> No.7029973

>>7029096
What does this have to do with physics?
Autist logic...

>> No.7029981

>>7029971
<span class="math">ur \, a \, fagget[/spoiler]

>> No.7031148

>>7028969
L ∝ m^n

>> No.7031404

Would have to be a classic for me:

e^{ix} = cos(x) + isin(x)

>> No.7031416

[-ℏ^2/2m∂^2/(∂x)^2 + V(x)]ψ=[iℏ∂/∂t]ψ
Time Independent Schrodinger for a one dimensional particle.

>> No.7031425

>>7031404
When I did the taylor for this and realized what it all meant I came buckets.

>> No.7031427

b^2 - 4ac

>> No.7031430

>>7031416
>time independent
>one dimensional
top pleb

>> No.7031437

>>7031430
>top undergraduate taking physical chemistry for my nanotech. track in chemical engineering while taking separations and reactor design.

Get your hierarchy judgmental piece of trash self out of here.

>> No.7031560

KE=3/2kT

>> No.7031567

>>7031425
'splain

>> No.7031585

<div class="math">(\frac{1}{\tau}=\frac{\delta\sigma}{\delta U})</div>

>> No.7031775

>>7031425
beautiful!

although, i never got how the fuck the first guy thought of writing sin, cos and e in power series form. He must have been high as shit!

>> No.7031784

>>7028969
the time dilation formula is incorrect in that picture.

>> No.7031807

S=VT

>> No.7031859

>>7031784
No it isn't.

>> No.7031888

\math \Delta p\Delta x \ge \frac12 \hbar

>> No.7031946

>favorite formula
>not e^(pi*i)+1=0
pls

>> No.7031983

Out of those? Time for special relativity.

>> No.7032063

>>7031859
yes it is.

It should be T'=T / ((1-(v^2)/(c^2))^(1/2))

they missed a division.

>> No.7032105

I=V/R
or
J=σE

>> No.7032113

>>7029009
LOL

>> No.7032119

>>7031946
that's an equation, not a formula.

hence "equate" = 0.

>> No.7032148

>>7029001
why?

>> No.7032155
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7032155

>>7028969
Mine is the standard model of particle physics, if you can count that as one equation. That shit is beautiful as fuck. My life dreams and aspirations is to work on a grand unification theory - one, single, elegant equation. The dream of many brilliant physicists.

>> No.7032170

>>7032155
Which are the varables here? Mass, charge, time..?

>> No.7032180

>>7032155
>beautiful
Mathfag here, this is absolutely disgusting, physicists are a bunch of uncultured swine

>> No.7032186
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7032186

dy = (1/dx)*dy*dx

>> No.7032203

1=1

>> No.7032213
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7032213

<div class="math">Nat(h^A, h^B) \simeq Hom(B, A)</div>

>> No.7032219
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7032219

>>7032155
>grand unification theory
Psst
Don't forget renormalization is a workable form of the vacuum energy density's value which would otherwise be infinite

>the vacuum is empty
>only matter can real
>much "dark" energy

>> No.7032225

>>7032155
It's pretty fucking horrible, mathematically.

>> No.7032258

>>7028992
>fa+2fg+do+ft
You dun fugged up.

>> No.7032274

<span class="math">\frac{m^{i \pi}c^{2i \pi}}{11.999...} = -\sum_{k=0}^{\infty} k[/spoiler] aka Barnett-Euler-Einstein(BEE) identity.

>> No.7032275

1 + 1 = 1

>> No.7032292

>>7029072
>doesn't know principle of least action
>thinks he can lecture others about it

>> No.7032294

>>7031425
>taylor
I came upon it by taking the derivative of cis(x).

>> No.7032296

>>7032294
Die cis scum

>> No.7032509

>>7032274
Remove the - on the right hand side.

>> No.7032513
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7032513

>>7032509
I believe you are right mister, my mistake.