Advanced Mathematics Questions/Answer Thread: No elementary Calculus
You are currently reading a thread in /sci/ - Science & Math
We respect your right to privacy. You can choose not to allow some types of cookies. Your cookie preferences will apply across our website.
Previous thread is well past bump limit.
No Pre-Calculus or Calculus I-III questions allowed. Anything else is fair game.
What is the sum of angles of a triangle that rests on a surface of nonuniform curviture?
Asked this in another thread for fun but actually want to know now.
>calc IV allowed
LMAO
>>7968153
How the fuck did reimann see that symmetry in the zeta function from 0 to 1?
>>7968554
>What is the sum of angles of a triangle that rests on a surface of nonuniform curviture?
That's going to depend on the curvature.
>>7968597
What garbage school do you go to that has to do calculus in four semesters?
>>7968153
those notes are best notes
>>7968153
yo what the fug is
[eqn]\frac{d}{dx} f(x) = \lim_{h \rightarrow 0} \frac{f(x + h) - f(x)}{h} [/eqn]
What is [math]\int x \sqrt{x+1} \; dx[/math]?
Do you a need a high IQ for Calculus? I'm scared...
>>7968821
That's the definition of the derivative
>>7968832
Sugoi!!
>>7968795
Whose notes are these? This shit is great.
>>7968821
>asks just about the most elementary calculus question imaginable
>>7968824
Sub u = x+1
>>7968851
>on advanced math thread
>not integrating by parts
U L T R A P L E B
>>7968856
>on advanced math thread
>talking about calculus
>>7968858
>Calculus I - III questions allowed
Also, does there exist an inverse of L'Hôpital's rule such that: [math]\lim_{x \rightarrow \infty} \frac{f(x)}{g(x)} = \lim_{x \rightarrow \infty} \frac{ \int f(x)}{ \int g(x)}[/math] ??
>>7968843
http://math.uchicago.edu/~chonoles/expository-notes/courses/2013/326/math326notes.pdf
>>7968860
I thought you had to be able to read to enroll in college
>>7968865
yo why is calculus so satanic? those niggas be teaching the trig sub and all I see is fuckin [math]\sin \sin \sin \sin[/math] fucking every fuck where!!!! like bruh no wonder noone likes math
>>7968856
You're not impressing anyone by getting the same result with more work.
>>7968869
>I don't like working
>>7968874
Do you just remember derivatives or do you use the definition of a derivative every single time?
>>7968874
>>7968860
equality is symmetric. So yes, that is just a different way of stating L'Hopital's rule, since the numerator and denominator on the left side are the derivatives of the numerator and denominator on the right side.
>>7968879
what the fug is a derivative? is it the power rangers thing? ya know like... dee over dicks 69x equals 69 and shit?
>>7968885
Y-you look ugly!!
>>7968153
Alright you fucks. I have an expression
[math] \sum_{n\in\mathbb{Z}_{\geq 0}}\frac{1}{\sqrt{E_{ns}}}[/math]
that I want to regularize, which I can do either via the identity
[math]
\frac{1}{\sqrt{A}} = \frac{1}{\sqrt{\pi}}\int_{0}^{\infty}\frac{ds}{\sqrt{s}}e^{-As}[/math]
or the Riemann zeta function
[math]\zeta_{\hat{D}}(s) = \sum_{n\in\mathbb{Z}_{\geq 0}}\frac{1}{\lambda_{n}^{s}}[/math], which I can analytically continue to [math]s = \frac{1}{2}[/math].
Dubs decide which method I chose.
>>7969024
what the fug
is that even math?
>>7969058
If it is it's poorly written.
>>7969077
mfw he used [math] and not [eqn]
He probably means E's are Eigenvalues of an operator A and he's missing a trace somewhere
Why the fuck is descriptive set theory even allowed to be a thing?
I need to prove that the closure of a continuous mapping f:E-->Y of a set E is a superset of the closure E.
Here's my attempt:
Every limit point of E has a neighbourhood containing a point P of E and therefore from the continuity f there is a point Q of Y with a neighbourhood containing a point P'=f(P) of f(E) for every P.
Therefore every limit point of E has a corresponding limit point of f(E) and therefore the mapping of the closure of E is a subset of the closure of f(E).
Is this OK or complete bullshit?
>>7969354
>I need to prove that the closure of a continuous mapping f:E-->Y of a set E is a superset of the closure E.
Are you trying to say that [math]f(\overline E) \subset \overline{f(E)}[/math]? Your map needs to have a larger domain.
>from the continuity f there is a point Q of Y with a neighbourhood containing a point P'=f(P) of f(E) for every P.
No, this is complete bullshit. Start with a point [math]x \in \overline E[/math], and consider a neighborhood of [math]f(x)[/math].
>math
>gookshit
How am I not surprised?
>>7969294
Kek time to sum divergent series like the memer I am
>>7968153
what are the exact solutions to the Navier-Stokes equation?
>>7968153
i need help solving the rieman hypothesis how do i do that ?
>>7970359
[math]0[/math] modulo non-trivial solutions