Let's see how smart /b/ is...
Find the general antiderivative of this integral.
>>685991297
https://www.wolframalpha.com/input/?i=Integrate%5Bx%2FSqrt%5Bx%5E3%2B2%5D,%7Bx%7D%5D
>>685991297
>>685991557
I know I'm stupid but what does the E and F mean?
>>685991991
Those are elliptic integrals
https://en.m.wikipedia.org/wiki/Elliptic_integral
>>685991991
but can you click on links m8?
http://reference.wolfram.com/language/ref/EllipticE.html
http://reference.wolfram.com/language/ref/EllipticF.html
>>685991297
what method
does u sub work
can it be squared
i forgot this shit
never ever used math
majored in civil eng
>>685991297
You need to have Gauss-Level math skills in order to solve that shit
>>685992157
>>685992271
Damn, now I feel like I know less than before I asked.
Are those things even used for anything useful?
>>685992849
Yes, to express integrals.
>>685991297
Its 2 nerds
Prove me wrong
>>685991297
x^3+2=t
>>685992941
Fuck this abstract shit, at least scientist use complex math to solve quantum mechanics which I'd like to understand but eh...
>>685992849
Yes, they can be used to solve certain differential equations. Also physicists need them to describe certain an harmonic oscillations (like the motion of a pendulum)
Who cares lol xDDDD fucking nerds kek.
>>685992849
Certain orbital parameters in celestial mechanics will involve elliptic integrals, for example. They come up quite often when you're dealing with inverse-square forces live gravity or electromagnetism.
>>685991297
here u go
>>685993457
I think something went wrong in our math if something as simple as the motion of a pendulum needs such advanced math to be solved.
>>685991991
there are no E or F thats an S stands for the Sum of riemanns numbers. it means the integral of that equation. where do u see anything remotely looking like an E?
>>685993741
I know that i = (-1)^(1/2), but what's (-1)^(5/6)? Some kinda ultra complex number?
>>685993886
How does that follow?
>>685994078
(-1)^(5/6) = (i^5)^(1/3)
>>685994298
pendulum is just E=(mv^2)/2=mgh
what's the best way to learn calculus?
>>685993886
Well then, show me a way to solve
x'' = - (g/l) sin(x)
without elliptic integrals.
In school you usually say that
sin(x) ≈ x
but that only describes infinitesimally small angles
>>685994478
No, because the pendulum is not in free-fall.
>>685994484
go to university.
>>685994576
doesnt need to can still calculate the velocity.
I wonder what alien mathematics looks like. kek.
really tough
>>685994837
Did you pass elementary physics? The tension in the string provides an additional force that you haven't accounted for by defining the potential energy as U(h) = mgh.
>>685994751
shit nigga I need to know this shit so I can graduate highschool
>>685994929
Probably much different
>>685992836
It's integration by substitution nog
>>685995035
dude u think i remember highschool physics.
>>685995234
I guess you don't. Which is fine, but it means you should listen and ask instead of talking.
had the integral been x^2/(x^3 +2) then it would have been real easy to solve.
>>685995332
i remember the maths werent that advanced for a pendulum swing i mean its highschool level stuff..
>>685994478
>>685994576
>>685995035
>>685993886
He wasn't talking about spring pendulums, they can be described quite easily using simple maths since the restoring force is proportional to the displacement, which isn't the case for simple gravity pendulums
>>685994484
Honeslty, if you have a basis of math understanding and the tools to actually learn, I recommend Paul's math notes online.
Shit got me through Calc 2 and 3 this year without going to class
>>685995519
The elementary treatment of the pendulum uses the small-angle approximation. The APPROXIMATE solution IS simple if you assume that the amplitude of the pendulum swing is not too large. But even in that case, the potential energy is not simply mgh; there is an additional term proportional to the angle of the pendulum, and potential energies of that form imply simple harmonic motion.
>>685995955
>Not going to classes you are paying for
Get a load of this guy.
>>685995628
>He wasn't talking about spring pendulums
Even U(x) = -1/2 kx^2 is an approximation
>>685996056
show me. pendulum swing is 1m mass 1kg its dropped from say 0.5m from the lowest point.
>>685995955
thanks m8 this looks like some useful stuff
>>685996389
u want to use e=mc^2/(1-(v2/c2)^0.5 for a simple pendulum?
>>685993422
This is hardly abstract. Have you taken any calculus classes in the past?
>>685996591
>e=mc^2/(1-(v2/c2)^0.5
What the fuck is that?
>>685996933
Einstein
what is pie squared OP
>>685996866
I did but I was like half asleep and now I need to understand this shit, I guess I'll figure it out eventually.
>>685996430
This is really simple stuff. Look it up for yourself.
https://en.wikipedia.org/wiki/Pendulum_(mathematics)
>>685996591
That's not the approximation I was talking about. That linear spring potential assumes small oscillations. The "simple" answers are all assuming small displacements from equilibrium where the potential energy is always proportional to the displacement. That makes these problems very, very simple compared to more complete treatements of the system.
>>685991297
Thanks for reminding me how shit I am at precalculus/calculus OP.
>>685994484
Just watch videos on the internet, you can learn anything on the internet. The problem is you can't use it for anything because nobody will believe you know it when your getting a job. That's what school is for. I recommend Khan accademy
>>685996866
btw what would you call abstract (I'll look at it like at a painting anyway)
>>685991297
what the fuck is antiderivative and integral?!!?
>>685991297
how will this help anyone in their daily lives?
>>685997044
I know that
E² = (mc²)² + (PC)²
which describes the relationship between momentum, mass and energy
And γ = 1/(1- (v²/c²))^(½)
Which describes how time, length etc changes when getting close to the speed of light
But what's (mc²)/γ supposed to be?
>>685997350
calculus nigga
>>685997347
It doesn't exist in the real world so all the calculation is hypothetical. Integrals and ellipses both exist in this context.
>>685997350
u know how to do a derivative?
its the opposite of that.
ex: Primitive of 2x = x^2
>>685997350
Some white people ish
>>685997347
The hypergeometric function is pretty abstract
>>685997537
E = γmc² is just the total relativistic energy in a frame where a particle with rest mass m has whatever velocity corresponds to γ
>>685997537
an object in motion.
>>685997865
Not really.
Their series definition is pretty basic and they have heavy application in solving indefinite integrals through Ramanujan's Master Theorem.
>>685997865
>doesnt understand something
>abstract
>>685997762
You mean like multi dimensional geometry? I dig the string theory.
>>685997347
The proof that
aⁿ + bⁿ = cⁿ
Has no integer solutions if n > 2
>>685998290
That math involved in String Theory is 1000x more complicated than this.
>>685998366
thats not abstract. a real solution was shown why they dont exist thats pretty freaking far from abstract.
>>685995955
calcchat also helps (if you have their copy of the book)
>>685998290
No that deals with a lot of 1d and explains behaviors of particles. Still not really abstract
>>685998513
Shit like String Theory gets me pretty excited, It makes me think there's more to life.
>>685998366
Wiles proof of Fermat's last theorem takes the cake for being abstract.
This is a good book that helps unravel some of it though: http://bookstore.ams.org/stml-58
It's focuses more on the BSD conjecture but it explains enough about elliptic curves and modular forms to give a very rough idea of what is going on.
>>685998243
>half of people itt
>>685998968
No there isn't, as far as we're concerned your born, you die, your brain doesn't work, you're gone.
ITT: niggers pretending to be smart.
>>685999357
but what if we could enter 4d?
>>685999465
THIS.
nobody takes anything seriously here. go back to fapping to traps faggots.
>>685999553
Than you wouldn't be you anymore.
>>685999465
>>685999571
>n-n-no there can't be people who know more than me
>i'm supposed to be the smart one in my class
>>685999735
why not? a 2D entity could exist in a 3D world why not 3D in 4D?
>>685999924
>>685999571
>>685999465
>doesnt understand what's being talked about
>claims nobody else knows what they're talking about
Nice one samefag
>>685999984
don't get mad at me if I sound stupid
>>686000002
Cry more, faggot. Or better yet, start learning your shit.
>>685999984
2d doesn't exist in a form of life
>>685999553
If you could connect each side of a room (cube) with it's opposite side (floor to ceiling, front to back, left to right) in the 4th dimension, would it look like a space that repeats itself infinitely many times if you float through that room? Would you see yourself infinitely many times too like in those creepy elevator mirrors?
>>686000015
SHIIIIIEEEEETTTT I was just shitposting to see if I could get the sextuplet 9's nigger. I was the one dumping all the random pics.
I'm actually taking a class on stochastic differential equations. Next semester I'll be taking one on real analysis, so you can suck my mathematical cock, nigger. I probably know way more than your little chimp brain ever can even comprehend, faggot nigger.
>>686000134
Don't worry bro this isn't common knowledge at all, your not stupid because your asking and trying to learn instead of blowing people off
>>686000134
People really aren't going to be mad at you if you say you don't know something. Those who are really into some subject want to share their knowledge with others. It's the people who know absolutely nothing but act like know-it-all bitches that can't stop talking in order to listen who get all of the hate.
>>685994050
There are special functions in the solution to the integral given by E and F. Look in the answer.
>>686000212
>>686000015
>>685999924
see:
>>686000421
you retarded simian faggot. Stay in highschool you semi-evolved chimp nigger.
>>686000550
for example this retarded faggot:
>>686000590
>>686000550
Like this faggot - >>686000421
>thinks he knows things because he's in a community college lvl math coursd
>>686000399
I saw a video that said that in 4D you would see all your life from start to end as a trail or something like that. I kind of get the concept of 4D being time looking from the perspective of like a story that is written in 2D and you can jump at any part you want while being in 3D.
>>685991297
Proof it's not summer yet. Kiddies still asking for help with their homeworks.
>>686001043
>stochastic differential equations
>real analysis
>community college level
wew lad. You just blew your cover boy. What are you still in grade 12 learning pre-Calc? kek. You probably just learned this shit today.
>>686001474
>manchild trying to show off how smart he is in an anonymous imageboard
kek. you must have a lot of friends.
>>686001153
Yeah, I was talking about spacial dimensions though, excluding time.
If you were a 2D creature that lives on a small sphere, then you wouldn't see the curvature of the sphere since it's in a dimension which is higher then yours, right? So you could just look in any direction and would see yourself again? And does that work in 4D too? That's what I meant
>>685991659
This
>>686001512
I assumed you took a general de where they briefly mentioned it
>>686000535
>>686000550
Thanks anons, I too hate people who think they know something but they know shit. If you start learning something you realize there's always more to it and still feel like you don't know shit.
>>686000421
>Next semester I'll be taking one on real analysis
>real analysis
>next semester
>>686001186
>homework
Are you fucking retarded? That shit's far more complex than anything you'd learn in highschool
>>686002142
Maybe at your impoverished high school nigger
>>686002038
That's a good attitude to have. Don't feel insecure about your lack of knowledge - let it drive your curiosity.
>>685999553
We do live in 4 dimensions. Spacetime, as modeled by General Relativity, is a 4 dimensional Lorentzian manifold. 3 spacial dimensions, 1 temporal dimension.
As far as the extra dimensions predicted by String theory, they would have to be very very small in order for the theories to be realistic.
ex. The most physically realistic models are compactifications of the extra dimensions onto compact manifolds of special holonomy. The most common types of manifolds use are calabi-yau 3-folds. Which are 6 dimensional manifolds with SU(3) holonomy.
This could be very vaguely visualized as sort of placing one of these calabi-yau 3-folds at every point on the main 4-dimensional Lorentzian Manifold.
>>685991297
Fuck off OP, do the same for e^x^2
But be careful, i will put every erf in your fucking prolapsed asshole!
Does this work?
I wanna try growing crystals myself tomorrow, they look super cool
>>685991297
If the problem is only used at x= around zero, then the taylor series at a=0 is pretty simple. Use that and then integrate
>>686002099
whats funny about that dipshit?
>>686002335
BTFO
T
F
O
>>686002701
it does not.
>>686002827
You want mommy to say she's proud of you and to put your little kindergarten crayon math quizzes up on the fridge? Nothing but gold stars for you, snowflake.
>>686002694
You don't need the error function if you solve it in polar coordinates
>>686002827
How hard your trying faggot
>>686002395
Man I'm living in a "third world" country where almost everybody thinks God is the answer or plainly doesn't give a fuck. This shit grinds me up little by little. I don't really know what to do with this life. I want to be immortal tough and keep seeing what will the world do in a distant future.
Who needs maths if you can have god?
>>686003953
It can be tough to come to terms with but ,for me at least, the idea of immortality scares me more than death does.
>>686004035
>implying math clearly isn't the language of god
Why do you think it is the language needed to properly describe any physical phenomena in the universe?
>>686003953
>Man I'm living in a "third world" country where almost everybody thinks God is the answer or plainly doesn't give a fuck.
United States?
But seriously, just disconnect and become your own scholar. It is legitimately hard to learn how to learn something like mathematics when you're alone and I empathize, but the resources are all there on the internet. Just carve out room in your life for personal, independent study and don't let the world into that space.
>>685991297
Use a Chebyshev substitution.
It's simple as fuck from then on..
>>685991297
>antiderivative
stop reading
>>686004342
you manage to go beyond taking the bait m8
>>686004342
nice one summerfag
>>686003207
lets the op prove this
>>686004342
Because of the methodology of science.
>>686005442
For the past like 100 years Mathematical physics has almost always been ahead of Experimental physics. So no not really.
>>686004546
I wish I could fucking disconnect from everything but I'm not alone in this world and can't live whiteout any income.
Music makes me sometimes disconnect from everything. I know it sounds like complete bullshit but that's all I got.
>>686005698
You don't have to be that extreme about it. Just learn things in your free time, save up money, and move.
>>686005698
What country are you in?
>>686005618
I don't think you know what you're talking about or much about science. Are we talking about high energy theory? Theories beyond the standard model that are consistent with current physics but not yet tested by experiment are treated as just a range of possibilities. The scientific method is about coming up with plausible explanations and then trying to eliminate them by testing every prediction of that explanation in every way one can think of. Any explanation that survives the harshest testing possible is then treated as plausible and begins to be integrated into our theories.
But "mathematical physics" that is beyond all experimental testing is not considered solid physics. Not at all. It is possible to eliminate possible ideas as inconsistent with current understanding, but none of those models are treated as actual knowledge.
>>686006396
mozambique
>>686006616
we are talking about your mums pussy
>>686006396
Romania is where I'm at. Are you willing to take me in anon, I'm sick of this shit.
Just kidding, it's not that bad, I know lots of people have it worst than I do.
>>686006616
I didn't say current mathematical physics is necessarily correct, just that over the last 100 years we have come up with a lot of theories mathematically before there was experimental evidence. ex. GR
>>686006728
Kek
>>685994471
This is false.
>>686006939
Sure, but the hypotheses of general relativity were not taken seriously until their predictions began to survive experimental testing.
You asked why I think mathematics is "the language needed to properly describe physical phenomena". The answer is that mathematical descriptions of and predictions concerning physical phenomena have survived empirical testing for centuries.