# Thread: Compiling LaTeX code online

1. ## Compiling LaTeX code online

Hey,

I'm just going to use this to do some mathematics to send to a very special person , basically hogging your equation software thing. Just to make it useful, I'll explain what is to be done.

Basically what we're doing here is finding out if a function is even or odd.

If $\displaystyle f(-x) = -f(x)$ then the function is odd.

If $\displaystyle f(-x) = f(x)$ then the function is even.

If $\displaystyle f(-x) \neq f(x)$ or $\displaystyle f(-x) \neq -f(x)$ then the function is neither even or odd.

An example:

Say we have
$\displaystyle f(x) = x^2/\sqrt{x^2-1}$

To find out if it's odd or even we find $\displaystyle f(-x)$

Which is
$\displaystyle f(-x) = (-x)^2/\sqrt{(-x)^2-1}$
so

$\displaystyle f(-x) = x^2/\sqrt{x^2-1}$

which means

$\displaystyle f(-x) = f(x)$

So that means the function
$\displaystyle f(x) = x^2/\sqrt{x^2-1}$

Is even because $\displaystyle f(-x) = f(x)$

2. Originally Posted by ragabonds
Hey,

I'm just going to use this to do some mathematics to send to a very special person , basically hogging your equation software thing. Just to make it useful, I'll explain what is to be done.

Basically what we're doing here is finding out if a function is even or odd.

If $\displaystyle f(-x) = -f(x)$ then the function is odd.

If $\displaystyle f(-x) = f(x)$ then the function is even.

If $\displaystyle f(-x) \neq f(x)$ or $\displaystyle f(-x) \neq -f(x)$ then the function is neither even or odd.

An example:

Say we have
$\displaystyle f(x) = x^2/\sqrt{x^2-1}$

To find out if it's odd or even we find $\displaystyle f(-x)$

Which is
$\displaystyle f(-x) = (-x)^2/\sqrt{(-x)^2-1}$
so

$\displaystyle f(-x) = x^2/\sqrt{x^2-1}$

which means

$\displaystyle f(-x) = f(x)$

So that means the function
$\displaystyle f(x) = x^2/\sqrt{x^2-1}$

Is even because $\displaystyle f(-x) = f(x)$
you don't to use a forum for this. there are tons of sites on the net that will compile LaTeX code for you, for free. you can even have correspondence between persons once they have a link to the page. see MathBin.net - Math pastebin for equation rendering for instance