Advanced Mathematics Questions/Answer Thread: No elementary Calculus

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.

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>>7968597
What garbage school do you go to that has to do calculus in four semesters?

>>7968153
those notes are best notes

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>>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

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>>7968832
Sugoi!!

>>7968795
Whose notes are these? This shit is great.

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>>7968821
>asks just about the most elementary calculus question imaginable

>>7968824
Sub u = x+1

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>>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

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>>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] ??

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>>7968843
http://math.uchicago.edu/~chonoles/expository-notes/courses/2013/326/math326notes.pdf

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>>7968860
I thought you had to be able to read to enroll in college

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>>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.

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>>7968869
>I don't like working

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>>7968874
Do you just remember derivatives or do you use the definition of a derivative every single time?

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>>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.

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>>7968879
what the fug is a derivative? is it the power rangers thing? ya know like... dee over dicks 69x equals 69 and shit?

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>>7968885
Y-you look ugly!!

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>>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.

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>>7969024
what the fug
is that even math?

>>7969058
If it is it's poorly written.

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>>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?

>>7969024
>>7969024
Zeta function regularisation.

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