User:Jholsenback
Intro
I'm playing around with these LaTex markup files that are used in the POV-Ray documentation.
Reference
These are in the reference section.
blobdens
% FILE: blobdens
% --------
\begin{displaymath}
\mathit{density} =
\mathit{strength}\cdot
\left(1-\left(\frac{\mathit{distance}}{\mathit{radius}}\right)^2\right)^2
\end{displaymath}
Produces:
curvmath
% FILE: curvmath
% --------
\begin{displaymath}
\begin{array}{l}
b = M \cdot x, \mathrm{with:}
\\ \\
b = \left[
\begin{array}{c}
r(j)^2 \\
r(j+1)^2 \\
2 \cdot r(j) \cdot (r(j+1)-r(j-1)) \\
\hline
h(j+1)-h(j-1) \\
2 \cdot r(j+1) \cdot (r(j+2)-r(j)) \\
\hline
h(j+2)-h(j)
\end{array}
\right]
\\ \\
M = \left[
\begin{array}{c c c c}
h(j)^3 & h(j)^2 & h(j) & 1 \\
h(j+1)^3 & h(j+1)^2 & h(j+1) & 1 \\
3\cdot h(j)^2 & 2\cdot h(j) & 1 & 0 \\
3\cdot h(j+1)^2 & 2\cdot h(j+1) & 1 & 0
\end{array}
\right]
\\ \\
x = \left[
\begin{array}{c}
A(j)\\ B(j)\\ C(j)\\ D(j)
\end{array}
\right]
\end{array}
\end{displaymath}
lattenua
% FILE: lattenua
% --------
\begin{displaymath}
\mathit{attenuation} =
\frac{2}
{1+\left(\frac{d}{\mathit{fade\_distance}}\right)^\mathit{fade\_power}}
\end{displaymath}
medatten
% FILE: medatten
% --------
\begin{displaymath}
\mathit{attenuation} =
\frac{1}
{1+\left(\frac{d}{\mathit{fade\_distance}}\right)^\mathit{fade\_power}}
\end{displaymath}
prod
% FILE: prod
% ----
\begin{displaymath}
\prod_{i=b}^n a
\end{displaymath}
Produces:
sormath
% sormath
% -------
\begin{displaymath}
r^2 = f(h) = A\cdot h^3 + B\cdot h^2 + C\cdot h + D
\end{displaymath}
Produces:
sqemath
% FILE: sqemath
% -------
\begin{displaymath}
f(x,y,z) =
\left(|x|^{\left(\frac{2}{e}\right)} + |y|^{\left(\frac{2}{e}\right)}
\right)^{\left(\frac{e}{n}\right)} + |z|^{\left(\frac{2}{n}\right)} - 1 = 0
\end{displaymath}
Produces:
sum
% FILE: sum
% ---
\begin{displaymath}
\sum_{i=b}^n a
\end{displaymath}
Produces:
