Add formulae

doc/tinytalk/tinytalk.tex

@@ -0,0 +1,83 @@
+%% Encoding: ISO8859-1 %%
+
+%% LaTeX-Beamer template for KIT design
+%% by Erik Burger, Christian Hammer
+%%
+%% modified by Christian Henrich and Matthias Gabel for IKS/ITI
+%%
+%% version 1.3
+%%
+%% mostly compatible to KIT corporate design v1.2
+%% http://www.uni-karlsruhe.de/download/uka/Gestaltungsrichtlinien_komplett.pdf
+
+\documentclass[18pt,aspectratio=169]{beamer}
+\usetheme{kit}
+
+	\usepackage{comment}
+	\usepackage{pdfpages}
+
+	% if a custom picture is to be used on the title page, copy it into the 'logos'
+	% directory, in the line below, replace 'mypicture' with the 
+	% filename (without extension) and uncomment the line
+
+	\renewcommand{\titleimage}{collagen}
+
+	% (picture proportions: 63 : 20, *.eps format if you use latex+dvips+ps2pdf,
+	% *.jpg/*.png/*.pdf if you use pdflatex)
+
+	% if you want to see BibTeX keys in the references view instead of the symbol,
+	% uncomment the following line
+	% \usebibitemtemplate{\insertbiblabel}
+
+	% uncomment the following line if you want to hide the navigation symbols
+	%\beamertemplatenavigationsymbolsempty 
+
+	% the presentation starts here
+
+	\title[An ECM Model for Cells In Silico]{An ECM Model for Cells in Silico}
+	% \subtitle{}
+	\author{Paul Brinkmeier}
+
+	\institute[SCC]{Steinbuch Centre for Computing} % Deutsch
+	%\institute[ITI]{Department of Informatics, Institute of Theoretical Informatics} % Englisch
+
+	\begin{document}
+
+	\selectlanguage{english} % Deutsch
+	% \selectlanguage{ngerman} % Englisch
+	%title page
+	\begin{frame}
+		\titlepage{}
+	\end{frame}
+
+	\include{vortrag}
+
+	\begin{comment}
+	\section{References}
+	\begin{frame}
+		\frametitle{References}
+		\bibliography{references}
+		\bibliographystyle{plain} %does not render "url" fields...
+		% \bibliographystyle{IEEEtran}  %does render "url" fields, requires "_"s and "#"s to be escaped, e.g. "\_".
+	\end{frame}
+	\end{comment}
+
+	\section{End}
+	\begin{frame}
+		\begin{columns}
+			\column{0.45\textwidth}
+			\includegraphics[page=2,width=0.9\textwidth]{tinytalk2}
+			\column{0.45\textwidth}
+			\includegraphics[page=3,width=0.9\textwidth]{tinytalk2}
+		\end{columns}
+		\vfill
+		\begin{columns}
+			\column{0.45\textwidth}
+			\includegraphics[page=7,width=0.9\textwidth]{tinytalk2}
+			\column{0.45\textwidth}
+			\includegraphics[page=8,width=0.9\textwidth]{tinytalk2}
+		\end{columns}
+	\end{frame}
+
+	\end{document}
+

doc/tinytalk/vortrag.tex

@@ -60,15 +60,17 @@ Two main requirements:
 \end{itemize}
 \end{frame}
 
-\vfill
-
 \section{Methods}
 
 \begin{frame}{Lattice Boltzmann Method}
 \begin{figure}
-	\includegraphics[width=0.8\textwidth]{lbm.png}
+	\includegraphics[width=0.6\textwidth]{lbm.png}
 \end{figure}
 
+\[
+f_i(\mathbf{x} + \mathbf{c}_i, t + 1) = f_i(\mathbf{x}, t) - \frac{1}{\tau} (f_i(\mathbf{x}, t) - f_i^\text{eq}(\mathbf{x}, t))
+\]
+
 \begin{itemize}
 	\item Discretized particle velocities per lattice site
 	\item Update Step: Streaming + Collision
@@ -77,34 +79,41 @@ Two main requirements:
 \end{frame}
 
 \begin{frame}{Elastic Lattice Model}
+\begin{columns}
+\column{0.35\textwidth}
 \begin{figure}
-	\includegraphics[width=0.32\textwidth]{elm.png}
+	\includegraphics[width=\textwidth]{elm.png}
 \end{figure}
 
+\column{0.65\textwidth}
+\[
+\mathbf{F}_{ij} = \mathbf{r}_{ij} K_{ij} (\mathbf{u}_{ij} \cdot \mathbf{x}_{ij}) + \frac{c \mathbf{u}_{ij}}{|\mathbf{x}_{ij}|^2} + \eta \mathbf{v}_{ij}
+\]
+
 \begin{itemize}
 	\item A square lattice based discrete particle method
 	\item Each lattice site represents a particle
 	\item Particles are connected to neighbors by springs
 \end{itemize}
+\end{columns}
 \end{frame}
 
-\section{Implementation}
+\begin{frame}{My Approach}
+Two main requirements:
 
-\begin{frame}{Implementation}
 \begin{itemize}
-	\item Starting point: NAStJA + CiS
+	\item Model exhibits viscoelastic properties \checkmark{}
-	\item Benchmark different implementations against each other
+	\item Model can be implemented as a stencil in NAStJA \checkmark{}
-	\begin{itemize}
+\end{itemize}
-		\item CPU
+
-		\item Vectorized
+\vfill
-		\item GPU
+
-	\end{itemize}
+Challenges:
-	\item Optimize for
+
-	\begin{itemize}
+\begin{itemize}
-		\item Scaling behavior
+	\item How do we integrate the model with the CPM?
-		\item Wall clock time
+	\item How can it be implemented in NAStJA?
-		\item etc.
+	\item How do we make it fast?
-	\end{itemize}
 \end{itemize}
 \end{frame}