R Under development (unstable) (2024-03-03 r86036 ucrt) -- "Unsuffered Consequences"
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> library(Sim.DiffProc)
Package 'Sim.DiffProc', version 4.9
browseVignettes('Sim.DiffProc') for more informations.
> 
> ## Converting Sim.DiffProc Objects to LaTeX
> 
> # Example 1
> 
> f <- expression(-mu1 * x) 
> g <- expression(mu2 * sqrt(x)) 
> TEX.sde(object = c(drift = f, diffusion = g))
%%% LaTeX equation generated in R development by TEX.sde() method
%%% Copy and paste the following output in your LaTeX file

\begin{equation}\label{eq:}
dX_{t} =  - \mu_{1} \, X_{t} \:dt +  \mu_{2} \, \sqrt{X_{t}} \:dW_{t}
\end{equation}
> 
> # Example 2
> 
> f <- expression(mu1*cos(mu2+z),mu1*sin(mu2+z),0) 
> g <- expression(sigma,sigma,alpha) 
> TEX.sde(object = c(drift = f, diffusion = g))
%%% LaTeX equation generated in R development by TEX.sde() method
%%% Copy and paste the following output in your LaTeX file

\begin{equation}\label{eq:}
\begin{cases}
\begin{split}
dX_{t} &= \mu_{1} \, \cos(\mu_{2} + Z_{t}) \:dt +  \sigma \:dW_{1,t} \\
dY_{t} &= \mu_{1} \, \sin(\mu_{2} + Z_{t}) \:dt +  \sigma \:dW_{2,t} \\
dZ_{t} &= 0 \:dt +  \alpha \:dW_{3,t}
\end{split}
\end{cases}
\end{equation}
> 
> ## LaTeX mathematic for object of class 'MEM.sde'
> ## Copy and paste the following output in your LaTeX file
> 
> # Example 3
> 
> mem.mod3d <- MEM.sde(drift = f, diffusion = g)
> TEX.sde(object = mem.mod3d)
%%% LaTeX equation generated in R development by TEX.sde() method
%%% Copy and paste the following output in your LaTeX file

\begin{equation}\label{eq:}
\begin{cases}
\begin{split}
\frac{d}{dt} m_{1}(t) &= \mu_{1} \, \left( 1 - 0.5 \, S_{3}(t) \right) \, \cos(\mu_{2} + m_{3}(t)) \\
\frac{d}{dt} m_{2}(t) &= \mu_{1} \, \left( 1 - 0.5 \, S_{3}(t) \right) \, \sin(\mu_{2} + m_{3}(t)) \\
\frac{d}{dt} m_{3}(t) &= 0 \\
\frac{d}{dt} S_{1}(t) &= \sigma^2 - 2 \, \left( C_{13}(t) \, \mu_{1} \, \sin(\mu_{2} + m_{3}(t)) \right) \\
\frac{d}{dt} S_{2}(t) &= 2 \, \left( C_{23}(t) \, \mu_{1} \, \cos(\mu_{2} + m_{3}(t)) \right) + \sigma^2 \\
\frac{d}{dt} S_{3}(t) &= \alpha^2 \\
\frac{d}{dt} C_{12}(t) &= \mu_{1} \, \left( C_{13}(t) \, \cos(\mu_{2} + m_{3}(t)) - C_{23}(t) \, \sin(\mu_{2} + m_{3}(t)) \right) + \sigma^2 \\
\frac{d}{dt} C_{13}(t) &= \alpha \, \sigma - S_{3}(t) \, \mu_{1} \, \sin(\mu_{2} + m_{3}(t)) \\
\frac{d}{dt} C_{23}(t) &= S_{3}(t) \, \mu_{1} \, \cos(\mu_{2} + m_{3}(t)) + \alpha \, \sigma
\end{split}
\end{cases}
\end{equation}
> 
> proc.time()
   user  system elapsed 
   0.35    0.06    0.40