diff --git a/Lectures_my/MC_2016/Lecture10/mchrzasz.log b/Lectures_my/MC_2016/Lecture10/mchrzasz.log index 76075de..6e36c0c 100644 --- a/Lectures_my/MC_2016/Lecture10/mchrzasz.log +++ b/Lectures_my/MC_2016/Lecture10/mchrzasz.log @@ -1,4 +1,4 @@ -This is XeTeX, Version 3.1415926-2.5-0.9999.3 (TeX Live 2013/Debian) (format=xelatex 2015.4.1) 27 MAY 2016 09:47 +This is XeTeX, Version 3.1415926-2.5-0.9999.3 (TeX Live 2013/Debian) (format=xelatex 2015.4.1) 3 JUN 2016 10:59 entering extended mode restricted \write18 enabled. %&-line parsing enabled. diff --git a/Lectures_my/MC_2016/Lecture10/mchrzasz.pdf b/Lectures_my/MC_2016/Lecture10/mchrzasz.pdf index d3808a7..adc66b5 100644 --- a/Lectures_my/MC_2016/Lecture10/mchrzasz.pdf +++ b/Lectures_my/MC_2016/Lecture10/mchrzasz.pdf Binary files differ diff --git a/Lectures_my/MC_2016/Lecture10/mchrzasz.synctex.gz b/Lectures_my/MC_2016/Lecture10/mchrzasz.synctex.gz index feecc3b..f554d57 100644 --- a/Lectures_my/MC_2016/Lecture10/mchrzasz.synctex.gz +++ b/Lectures_my/MC_2016/Lecture10/mchrzasz.synctex.gz Binary files differ diff --git a/Lectures_my/MC_2016/Lecture10/mchrzasz.tex b/Lectures_my/MC_2016/Lecture10/mchrzasz.tex index 3a21e5d..b61ab2d 100644 --- a/Lectures_my/MC_2016/Lecture10/mchrzasz.tex +++ b/Lectures_my/MC_2016/Lecture10/mchrzasz.tex @@ -489,15 +489,15 @@ \begin{frame}\frametitle{Dual Wasow method} \begin{minipage}{\textwidth} \begin{footnotesize} -\ARROW We choose the boundary conditions with arbitrary chosen probability \pdf~$p(Q)$ the starting point.\\ -\ARROW We choose with equal probability the point inside $D$ where the particle goes.\\ +\ARROW We choose the starting point with an arbitrary \pdf~$p(Q)$.\\ +\ARROW We choose with equal probability the point inside $D$ where the particle walks.\\ \ARROW With equal probability we choose the next positions and so on until the particle hits the boundary in the point $Q^{\prime}$.\\ -\ARROW We count all trajectories $N((x_1,x_2,x_3,...,x_k)$ that that have passed the point $(x_1,x_2,x_3,...,x_k)$.\\ +\ARROW We count all trajectories $N(x_1,x_2,x_3,...,x_k)$ that that have passed the point $(x_1,x_2,x_3,...,x_k)$.\\ \ARROW For the point $(x_1,x_2,...,x_k)$ we calculate: \begin{align*} w(x_1,x_2,...,x_k)=\frac{1}{2k}N(x_1,x_2,...,x_k)\frac{f(Q)}{p(Q)} \end{align*} -\ARROW The above steps we repeat $N$ times.\\ +\ARROW The above steps we repeat $N^{\prime}$ times.\\ \ARROW After that we take the arithmetic mean of $w$. \end{footnotesize}