LaTeX Mod

[iago]

We added a mod that parses LaTeX formulas directly on the board. Basically, use [tex]yourlatexstuff[/tex]. You can thank Sidoh for the mod!

[tex]This is a test[/tex]

[dark_drake]

I am [tex]\alpha[/tex] and [tex]\Omega[/tex]

Meh, works for me.

[Ender]

[tex]e^{1337}[/tex]

[Joe]

[tex]e=mc^2[/tex]

[Sidoh]

It seems my ISP is flaking right now.  I'm not sure what's up; I just noticed that it's down.  Hopefully they're just doing maintenance tonight and it'll be back up in the morning...

For the record, Joe, you should use "E", not "e".  Little e is used to denote eccentricity, which is a concept used in astrophysics.  :)

I suppose, if iago is up for it, I can change the mod to work locally.  It wouldn't require a whole lot of extra work, but iago would need to have the standard LaTeX tools, which, as far as I know, come standard with Slackware.

[iago]

There's nothing standard about my install. :)

[Sidoh]

There's nothing standard about my install. :)

Figures!

Well, my server seems to be back up anyway.  I'm pretty sure it was my ISP, though, because their website was down.

[Ender]

x86] link=topic=10509.msg133613#msg133613 date=1192939384]
[tex]e=mc^2[/tex]

That's only for an object at rest, too. In general it is

[tex]E = \sqrt{m^2 + p^2} = \gamma m[/tex]

where m is the rest mass and c is defined as 1 as usual.

[Joe]

First, I don't know how to use LaTeX. I'm guessing that you can type in any standard math equation? Is there a quick-start or "For Dummies" type paper on how to use it?

Ender, I suck at math (or more likely, physics). What does gamma mean?

[Sidoh]

LaTeX is a pretty extensive type-setting language.  It's used to write books, documents, etc.  There's a "Not-So-Short Introduction".

http://en.wikipedia.org/wiki/Mass-energy_equivalence#Background

[Chavo]

Little e is used to denote eccentricity, which is a concept used in astrophysics.

Also, its a constant ;)

[Ender]

x86] link=topic=10509.msg133628#msg133628 date=1192950437]
First, I don't know how to use LaTeX. I'm guessing that you can type in any standard math equation? Is there a quick-start or "For Dummies" type paper on how to use it?

Ender, I suck at math (or more likely, physics). What does gamma mean?

That's absurd. That doesn't mean you suck at math or physics. It just means you don't know something yet. Certainly, Gauss never knew Special Relativity. Does that mean he sucked at math and physics?

So [tex]\displaystyle \gamma = \frac{1}{1-\frac{v^2}{c^2}}[/tex] The RHS of the equation is annoying to write out, so physicists gave it a name.

Basically, if you're moving at speeds near the speed of light, then according to others: (1) your length contracts, (2) you become more "massive", and (3) time slows down for you. In other words: short, fat, and slow. This is just one example, which is others observing you. More generally, if a frame of reference is moving near the speed of light, its observations/measurements of objects differ from other frames of reference in terms of the time, length, and other things once thought immutable.

Gamma is a factor used in determining how much quantities like time, mass, energy, momentum, etc., change according to you and others.

[Sidoh]

Also, its a constant ;)

Yes, yes, and Euler's number. :P

[Camel]

Funny - I was just thinking it would be useful to set up a tex tag.

[tex]\frac{d}{dx}[f(x)]=\lim_{dx\to0}\frac{f(x+dx)-f(x)}{dx}[/tex]

[Rule]

So [tex]\displaystyle \gamma = \frac{1}{1-\frac{v^2}{c^2}}[/tex]

Missing a square root.

[tex]\displaystyle \gamma = \sqrt{\frac{1}{1-\frac{v^2}{c^2}}}[/tex]