Zelaron Gaming Forum - LaTeX BB Code tests

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- - LaTeX BB Code tests (http://zelaron.com/forum/showthread.php?t=47599)

Chruser

2008-11-22 04:57 PM

LaTeX BB Code tests

$\reverse x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$\reverse \LARGE e^x=\sum_{n=0}^\infty\frac{x^n}{n!}$

$\reverse \reverse\opaque \LARGE e^x=\sum_{n=0}^\infty\frac{x^n}{n!}$

$\reverse \reverse e^x=\sum_{n=0}^\infty\frac{x^n}{n!}$

$\reverse \mathbf{C}_j = \frac{n!}{(n - j)!} \sum_{i = 0}^j \frac{(-1)^{i + j} \mathbf{P}_i}{i! (j - i)!} = \prod_{m = 0}^{j - 1} (n - m) \sum_{i = 0}^j \frac{(-1)^{i + j} \mathbf{P}_i}{i! (j - i)!}$

Chruser

2008-11-22 05:11 PM

Additional tests...

Wikipedia rendering comparison:

Given ''n'' + 1 control points Pi, the rational Bézier curve can be described by:

$\reverse \mathbf{B}(t) = \frac{ \sum_{i=0}^n b_{i,n}(t) \mathbf{P}_{i}w_i } { \sum_{i=0}^n b_{i,n}(t) w_i } $

or simply

$\reverse \mathbf{B}(t) = \frac{ \sum_{i=0}^n {n \choose i} t^i (1-t)^{n-i}\mathbf{P}_{i}w_i } { \sum_{i=0}^n {n \choose i} t^i (1-t)^{n-i}w_i }. $

Chruser

2008-11-22 05:14 PM

Annoying aliasing.

$\reverse \mathbf{B}(t) = \frac{ \sum_{i=0}^n b_{i,n}(t) \mathbf{P}_{i}w_i } { \sum_{i=0}^n b_{i,n}(t) w_i } $

or simply

$\reverse \mathbf{B}(t) = \frac{ \sum_{i=0}^n {n \choose i} t^i (1-t)^{n-i}\mathbf{P}_{i}w_i } { \sum_{i=0}^n {n \choose i} t^i (1-t)^{n-i}w_i }. $

Chruser

2008-11-22 05:26 PM

I fixed the aliasing, I think. I reversed the colors by default to make it look better in the Synthesis themes, but the downside is that you won't be able to see the output well in lighter themes such as Ocean and Zephios. To make it work in all themes, something like \reverse\opaque should be used, to give the output an appearance similar to this:

$\reverse \reverse\opaque x_{\mathrm{square}}(t) = \frac{4}{\pi} \sum_{k=1}^\infty {\sin{\left ( (2k-1)t \right )}\over(2k-1)}$

Also, I need to switch to a new TeX host soon.

Chruser

2008-11-22 05:38 PM

$\reverse \widetilde{It\: seems\: to\: be\: working!\quad Welcome\: to\: the\: 1940's!} $

Chruser

2008-11-23 03:59 AM

Combining tables and LaTeX...

Function	Abbreviation	Identities (using radians)
Sine	sin	$\reverse \sin \theta \equiv \cos \left(\frac{\pi}{2} - \theta \right) \equiv \frac{1}{\csc \theta}\,$
Cosine	cos	$\reverse \cos \theta \equiv \sin \left(\frac{\pi}{2} - \theta \right) \equiv \frac{1}{\sec \theta}\,$
Tangent	tan (or tg)	$\reverse \tan \theta \equiv \frac{\sin \theta}{\cos \theta} \equiv \cot \left(\frac{\pi}{2} - \theta \right) \equiv \frac{1}{\cot \theta} \,$
Cosecant	csc (or cosec)	$\reverse \csc \theta \equiv \sec \left(\frac{\pi}{2} - \theta \right) \equiv\frac{1}{\sin \theta} \,$
Secant	sec	$\reverse \sec \theta \equiv \csc \left(\frac{\pi}{2} - \theta \right) \equiv\frac{1}{\cos \theta} \,$
Cotangent	cot (or ctg or ctn)	$\reverse \cot \theta \equiv \frac{\cos \theta}{\sin \theta} \equiv \tan \left(\frac{\pi}{2} - \theta \right) \equiv \frac{1}{\tan \theta} \,$

jamer123

2008-11-23 09:56 AM

what the heck chruser

Chruser

2008-11-26 05:14 AM

Damn you all; start using it.

Goodlookinguy

2008-11-29 02:27 AM

Quote:

Originally Posted by Chruser (Post 661101)

Damn you all; start using it.

Hey $\reverse \:Chronic \:User$ , I actually found a use for this BB Code in another thread. I needed 10 and a half or $\reverse \:10 \frac{1}{2}$ .

~ - Tilde
$\reverse \tilde{\:Test \:Test \:Test \:Test}$
$\reverse \widetilde{\:Test \:Test \:Test \:Test}$

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