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

No vote yet
1 vote

  Easy Math Editor

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.
  • Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 2×3 2 \times 3
2^{34} 234 2^{34}
a_{i-1} ai1 a_{i-1}
\frac{2}{3} 23 \frac{2}{3}
\sqrt{2} 2 \sqrt{2}
\sum_{i=1}^3 i=13 \sum_{i=1}^3
\sin \theta sinθ \sin \theta
\boxed{123} 123 \boxed{123}

Comments

Sort by:

Top Newest

Integral over space in polar coordinates

2π00f(r,θ) r dr dθ\displaystyle\int_{2\pi}^{0} \int_{\infty}^{0} f(r,θ) \ r \ dr \ dθ

Percy Jackson - 2 weeks, 1 day ago

Log in to reply

You meant

2π00f(r,θ)rdrdθ\displaystyle \int_{2\pi}^0 \int_\infty^0 f(r, \theta)r \text d r \text d \theta?

Elijah L - 2 weeks ago

Log in to reply

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

Percy Jackson - 2 weeks ago

Log in to reply

Gaussian (normal) Distribution

12πσe(xμ)22σ2\dfrac{1}{\sqrt{2\pi}\sigma} \text{e}^{\dfrac{(x-\mu)^{2}}{2 \sigma^{2}}}

Percy Jackson - 2 weeks, 1 day ago

Log in to reply

Nth roots of unity

zn=1z=e2πinz^{n} = 1 ⇒ z = e^{\dfrac{2πi}{n}}

Percy Jackson - 2 weeks, 1 day ago

Log in to reply

Cauchy's Integral Formula

f(a)=12πiγf(z)zadzf(a) = \dfrac{1}{2\pi i} \displaystyle\oint_{\gamma} \dfrac{f(z)}{z-a} dz

Percy Jackson - 2 weeks, 1 day ago

Log in to reply

Fourier Transform

f(x)=F(k)e2πikxdkf(x) = \displaystyle\int_{- \infty}^{\infty} F(k) e^{2\pi i k x} dk

F(k)=f(x)e2πikxdxF(k) = \displaystyle\int_{- \infty}^{\infty} f(x) e^{-2\pi i k x} dx

Percy Jackson - 2 weeks, 1 day ago

Log in to reply

Riemann Zeta Function

ς(2n)=k=112kn          =B2n2(2n)!(2π)2n, n=1,2,3,......\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,......

Percy Jackson - 2 weeks, 1 day ago

Log in to reply

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

Nathan Soliman - 2 weeks, 1 day ago

Log in to reply

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

Percy Jackson - 2 weeks, 1 day ago

Log in to reply

title...

Nathan Soliman - 2 weeks, 1 day ago

Log in to reply

@Nathan Soliman .....has been changed @Nathan Soliman

Percy Jackson - 2 weeks, 1 day ago

Log in to reply

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

Percy Jackson - 2 weeks, 1 day ago

Log in to reply

Nice τ\tau formulas, @Percy Jackson!

Yajat Shamji - 2 weeks, 1 day ago

Log in to reply

Thanks!

Percy Jackson - 2 weeks, 1 day ago

Log in to reply

τ=32limn(n+1)k=1nk2(2k+1)2\large\tau \normalsize = 32 \displaystyle\lim_{n\to\infty} (n+1) \prod_{k=1}^{n} \dfrac{k^{2}}{(2k + 1)^{2}}

Percy Jackson - 2 weeks ago

Log in to reply

@Yajat Shamji

Percy Jackson - 2 weeks ago

Log in to reply

Cool.

Yajat Shamji - 2 weeks ago

Log in to reply

[10420647:Percy Jackson]

Nathan Soliman - 2 weeks ago

Log in to reply

@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.

Percy Jackson - 1 week, 3 days ago

Log in to reply

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

Nathan Soliman - 1 week, 3 days ago

Log in to reply

@Nathan Soliman the full thing

Percy Jackson - 1 week, 3 days ago

Log in to reply

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

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

Frisk Dreemurr - 4 days, 10 hours ago

Log in to reply

@Frisk Dreemurr @Frisk Dreemurr, mention[10427613:Frisk Dreemurr]

Frisk Dreemurr - 4 days, 10 hours ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...