4,745 reputation
1536
bio website facebook.com/gregor.ethan
location California
age 18
visits member for 1 year, 8 months
seen yesterday

I'm a recent High School graduate living in Los Angeles, California.

You can also find me collaborating with Nick W. on Project Euler

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2d
comment Find the closed-form of a series
In terms of theta functions and their derivatives, yeah I can see a closed form.
2d
revised Improper integral of $\frac{\ln x}x$
added 5 characters in body
Jul
20
answered Equation $a^{n}+b^{n}=2008$ has no integers solutions.
Jul
19
comment Prove this polylogarithmic integral has the stated closed form value
Expanding and multiplying power series' then integrating term by term.
Jul
19
revised Coming up with short “magical” proofs
edited title
Jul
19
comment Coming up with short “magical” proofs
When I'm trying to write a proof of something, and I manage to get the result I usually go back and start looking for weird identities and shortcuts etc. that I could use to write a short "elegant" proof. IMO I think that's just what a lot of authors do.
Jul
15
revised if $x_{n+1}=ax_{n}+b$ then How find this $a,b,c$?
added 87 characters in body
Jul
14
comment What is the value of $(72^2 - 64^2) : (44^2 - 24^2)$
@Asimov Thanks $ $
Jul
14
comment What is the value of $(72^2 - 64^2) : (44^2 - 24^2)$
What is the meaning of $:$ in this context?
Jul
13
answered Iterative Equation Problem with Constraints
Jul
13
comment Iterative Equation Problem with Constraints
I'm confused why for $i=2$ is the answer $15$? Could you elaborate please.
Jul
10
comment An equation with a nested function
What are $F,G$ and $H$?
Jul
9
comment Find $\int_0^{2}\int_0^{2}\left(x^2-2xy \right)\sqrt{1+4x^2+4y^2} \hspace{2mm} dydx$
The middle integral can be evaluated in terms of logarithms and polynomials. Then integrating that, the whole thing can be evaluated in terms of more logarithms, polynomials and some inverse trig functions. So basically it's expressible in terms of elementary functions, although it's really messy. I would probably just use a symbolic integral calculator, doing it by hand doesn't seem very practical.
Jul
9
comment Dividing Binomial Coefficient
I don't understand the question.
Jul
9
comment Find $\int_0^{2}\int_0^{2}\left(x^2-2xy \right)\sqrt{1+4x^2+4y^2} \hspace{2mm} dydx$
What do you mean by find? Find a "closed form" solution satisfying some constraints? Or are you asking if the integral exists? Also where did this integral come from?
Jul
7
answered Coefficient of x in the expansion of $(2x^2+(x-3))^8$
Jul
7
answered Convergence of a positive series
Jul
5
revised The limit of a sequence $\lim_{n\rightarrow \infty}\prod_{k=0}^{n-1}( 2+\cos \frac{k\pi }{n})^{\pi/n}$.
added 5 characters in body
Jul
5
revised The limit of a sequence $\lim_{n\rightarrow \infty}\prod_{k=0}^{n-1}( 2+\cos \frac{k\pi }{n})^{\pi/n}$.
edited body
Jul
5
comment The limit of a sequence $\lim_{n\rightarrow \infty}\prod_{k=0}^{n-1}( 2+\cos \frac{k\pi }{n})^{\pi/n}$.
Oops fixed it lol