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joari | PRO | 10/20/12 02:04:27 PM UTC | 0 ⭐ | 228 👁️ | Never ⏰ | []
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\begin{frame}{Estimativa do limite inferior -- procedimento}%{n_g independent samples, each one of size n}
\begin{columns}
\column[T]{.65\textwidth}
\begin{tikzpicture}
\draw(0,3) -- (2,3);
\draw(2,3) -- (3.5,5.5);
\draw(2,3) -- (3.5,4.5);
\draw(2,3) -- (3.5,0.5);
\only<1->{
\draw(3.5,0) rectangle +(0.5,6)
+(0.3,6.5) node {\textcolor{black}{1}}  
+(0.3,5.5) node {\textcolor{black}{$\xi^1$}} 
+(0.3,4.5) node {\textcolor{black}{$\xi^2$}} 
+(0.3,0.5) node {\textcolor{black}{$\xi^n$}}  
+(0.3,-.3) node {\textcolor{black}{$\widehat{\vartheta}_{n,1}$}}; }
\only<2->{
\draw(4.6,0) rectangle +(0.5,6) 
+(0.3,6.5) node {\textcolor{green}{2}}  
+(0.3,5.5) node {\textcolor{green}{$\xi^1$}} 
+(0.3,4.5) node {\textcolor{green}{$\xi^2$}} 
+(0.3,0.5) node {\textcolor{green}{$\xi^n$}}  
+(0.3,-.3) node {\textcolor{green}{$\widehat{\vartheta}_{n,2}$}}; }
\only<3->{
%\draw(5.5,0) rectangle +(0.5,6) 
%+(0.3,6.5) node {\textcolor{red}{3}}  
%+(0.3,5.5) node {\textcolor{red}{$\xi^1$}} 
%+(0.3,4.5) node {\textcolor{red}{$\xi^2$}} 
%+(0.3,0.5) node {\textcolor{red}{$\xi^n$}}  
%+(0.3,-.3) node {\textcolor{red}{$\widehat{\vartheta}_{n,3}$}}; \pause
\draw(6.5,0) rectangle +(0.5,6)
+(0.3,6.5) node {\textcolor{blue}{$n_g$}}  
+(0.3,5.5) node {\textcolor{blue}{$\xi^1$}} 
+(0.3,4.5) node {\textcolor{blue}{$\xi^2$}} 
+(0.3,0.5) node {\textcolor{blue}{$\xi^n$}}  
+(0.3,-.3) node {\textcolor{blue}{$\widehat{\vartheta}_{n,n_g}$}};}
\end{tikzpicture}
\column[T]{.45\textwidth}%\pause
\only<4->{
\centering {Problema discretizado}
\begin{align*}
\widehat{\vartheta}_{n,j} = & \min_{x} \left\{ c^\top x + \widehat{Q}_{n,j}(x) \right\} \\
                            & \text{s. a} \quad Ax = b \\
                            & x \geq 0
\end{align*} 
 \begin{itemize}
\item[] Obs.:  \[ \mathbb{E}[\widehat{\vartheta}_{n,j}] \leq \vartheta^* \]
\end{itemize} }
\end{columns}
\end{frame}

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