# Latex Stuff, Don't mind this , don't post anything here

Latex Stuff, Don't mind this , don't post anything here Note by Percy Jackson
2 weeks, 1 day ago

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

• Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
• Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
• Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.

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Integral over space in polar coordinates

$\displaystyle\int_{2\pi}^{0} \int_{\infty}^{0} f(r,θ) \ r \ dr \ dθ$

- 2 weeks, 1 day ago

You meant

$\displaystyle \int_{2\pi}^0 \int_\infty^0 f(r, \theta)r \text d r \text d \theta$?

- 2 weeks ago

Yes, I changed the Latex, thanks! I just put spaces between r dr dθ to avoid confusion. I get confused a lot with them. lol

- 2 weeks ago

Gaussian (normal) Distribution

$\dfrac{1}{\sqrt{2\pi}\sigma} \text{e}^{\dfrac{(x-\mu)^{2}}{2 \sigma^{2}}}$

- 2 weeks, 1 day ago

Nth roots of unity

$z^{n} = 1 ⇒ z = e^{\dfrac{2πi}{n}}$

- 2 weeks, 1 day ago

Cauchy's Integral Formula

$f(a) = \dfrac{1}{2\pi i} \displaystyle\oint_{\gamma} \dfrac{f(z)}{z-a} dz$

- 2 weeks, 1 day ago

Fourier Transform

$f(x) = \displaystyle\int_{- \infty}^{\infty} F(k) e^{2\pi i k x} dk$

$F(k) = \displaystyle\int_{- \infty}^{\infty} f(x) e^{-2\pi i k x} dx$

- 2 weeks, 1 day ago

Riemann Zeta Function

$\varsigma (2n) = \displaystyle\sum_{k = 1}^{\infty} \dfrac{1}{2^{kn}} \\ \\ \ \text{ } \ \ \ \ \ \ \ \ = \dfrac{|B_{2n}|}{2(2n)!} (2 \pi)^{2n}, \text{ } n = 1,2,3,......$

- 2 weeks, 1 day ago

you day not to interfere with your latex testing yet you put a abyss in mine

- 2 weeks, 1 day ago

This isn't just testing Latex, I'm writing actual formula's here. These are all pi and tau related formulas

- 2 weeks, 1 day ago

title...

- 2 weeks, 1 day ago

.....has been changed @Nathan Soliman

- 2 weeks, 1 day ago

A good observation in these formula's is that each of them has 2*pi which is tau. So Tau simplifies these formulas @Nathan Soliman

- 2 weeks, 1 day ago

Nice $\tau$ formulas, @Percy Jackson!

- 2 weeks, 1 day ago

Thanks!

- 2 weeks, 1 day ago

$\large\tau \normalsize = 32 \displaystyle\lim_{n\to\infty} (n+1) \prod_{k=1}^{n} \dfrac{k^{2}}{(2k + 1)^{2}}$

- 2 weeks ago

- 2 weeks ago

Cool.

- 2 weeks ago

[10420647:Percy Jackson]

- 2 weeks ago

@Nathan Soliman - I put my mention ID in my Bio for other's convenience. Now you don't need to follow Ham's method, just copy my id from my Bio.

- 1 week, 3 days ago

thats what i just did.. does it do anything if i say it like that or do i have to copy and paster the full thing with the word mention and corner brackets

- 1 week, 3 days ago

the full thing

- 1 week, 3 days ago

LOL, I'll just act like I didn't read that :)

But good idea, I'll do that as well...

- 4 days, 10 hours ago

@Frisk Dreemurr, mention[10427613:Frisk Dreemurr]

- 4 days, 10 hours ago