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\usepackage{amssymb,amsmath}  % use mathematical symbols
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      \footnotesize\it\bgroup}{\egroup\end{textblock*}} 


\hypersetup{% Set pdf properties
pdftitle = {Armand Premier pas},%
pdfauthor = {Nicolas Lom\'enie},%
pdfsubject = {TalkENSCurie},% 
pdfkeywords = {First Step}%
}

\begin{document}


% here you define the information that will be displayed in the title/cover page
\title[First Step]{
	\vspace*{0.2cm} \\
	 \includegraphics[width=4cm]{UdP} \\
	\vspace*{0.2cm}
	{\Huge Premier Pas  \\  en Latex} 
} 



\author[Lomenie]{  Nicolas Lom\'enie \\
\url{http://www.math-info.univ-paris5.fr/~lomn/}
}

\date{April 2017}






\begin{frame}[plain]
  \titlepage
\end{frame}

\section{Motivation}

\subsection{The Big picture}


\begin{frame}
\frametitle{Color Selection}
	\framesubtitle{Trigonometric Formula (1)}
\vspace{-0.6cm}

Soit \(\theta\) la teinte du pixel courant de couleur \(c\) soit \(\theta_0\) la teinte de référence sélectionnée  de couleur \(c_0\), 

alors on peut utiliser la "distance" suivante entre les deux teintes :
\begin{equation}
d(c,c_0) = \exp(\frac{\cos(\Delta\theta)-1}{\cos(\Delta\theta)+1+\epsilon}) 
\end{equation}
avec  \(\Delta\theta =\theta - \theta_0\)   \(\mod 2\pi\) 


\end{frame}

\begin{frame}
\frametitle{Color Selection}
	\framesubtitle{Carron Formula (1)}
\vspace{-0.6cm}

Soit \(\theta\) la teinte du pixel courant de couleur \(c\)  soit \(\theta_0\) la teinte de référence sélectionnée   de couleur \(c_0\), 

alors on peut utiliser la "distance de Carron" suivante entre les deux teintes :
\begin{equation}
d(c,c_0) = \alpha*d_H+(1-\alpha)*d_L
\end{equation}

avec  
\begin{eqnarray}
d_H(c,c_{0}) =     to do together  \\
d_L(c,c_{0}) = to do together
\end{eqnarray}
et \(a(s)=\frac{\pi/2+\arctan(rate*(s-offset))}{\pi}\)  et donc  \(a(s) \in [0,1]\) 



\end{frame}


\end{document}
