new page

Section05-Neural-Networks-and-Language-Modeling/section05.tex

@@ -957,12 +957,12 @@ T(\alpha \textbf{a}) & = & \alpha T(\textbf{a}) \nonumber
 \begin{center}
 \begin{center}
 \begin{tikzpicture}
 \begin{tikzpicture}
 \begin{scope}
 \begin{scope}
-\draw [line width=3pt,ublue,-](0,0) -- (-2.0,1); 
+\draw [line width=3pt,ublue,-](0,0) -- (-2.0,1);
 \node [anchor=north] (linelabel) at (-1.0,-0.5) {\footnotesize{我是一根筷子}};
 \node [anchor=north] (linelabel) at (-1.0,-0.5) {\footnotesize{我是一根筷子}};
 \end{scope}
 \end{scope}
 
 
 \begin{scope}[xshift=10em]
 \begin{scope}[xshift=10em]
-\draw [line width=3pt,ublue,-,line cap=round](0,0) .. controls (-0.5,-0.25) and (-0.5,1).. (-1.3,0.3) .. controls (-2.3,-0.3) and (-1.1,1.8).. (-2.0,1); 
+\draw [line width=3pt,ublue,-,line cap=round](0,0) .. controls (-0.5,-0.25) and (-0.5,1).. (-1.3,0.3) .. controls (-2.3,-0.3) and (-1.1,1.8).. (-2.0,1);
 \node [] at (-2,1) {\white{$\cdot$}};
 \node [] at (-2,1) {\white{$\cdot$}};
 \node [anchor=north] (linelabel) at (-1.0,-0.5) {\footnotesize{我是一只蚯蚓}};
 \node [anchor=north] (linelabel) at (-1.0,-0.5) {\footnotesize{我是一只蚯蚓}};
 \end{scope}
 \end{scope}
@@ -991,10 +991,10 @@ T(\alpha \textbf{a}) & = & \alpha T(\textbf{a}) \nonumber
 \begin{scope}[xshift=9.5em]
 \begin{scope}[xshift=9.5em]
 \draw [->,thick] (-1.5,0) -- (1.5,0);
 \draw [->,thick] (-1.5,0) -- (1.5,0);
 \draw [->,thick] (0,-0.1) -- (0,1.5);
 \draw [->,thick] (0,-0.1) -- (0,1.5);
-\draw [-,very thick,ublue,domain=-1.2:1.2,samples=100] plot (\x, {0.5*2^\x});
+\draw [-,very thick,ublue,domain=-1.2:1.2,samples=100] plot (\x, {0.5 * exp(\x)});
 \node [anchor=west] (ylabel) at (0,1.3) {$y$};
 \node [anchor=west] (ylabel) at (0,1.3) {$y$};
 \node [anchor=north] (xlabel) at (1.3,0) {$x$};
 \node [anchor=north] (xlabel) at (1.3,0) {$x$};
-\node [anchor=north] (func) at (0,-0.8) {\footnotesize{$y = 0.5 \cdot  2^x$}};
+\node [anchor=north] (func) at (0,-0.8) {\footnotesize{$y = 0.5 \cdot  \exp(x)$}};
 \node [anchor=south west] (flabel) at ([xshift=-1.8em]func.north west) {\footnotesize{Exponential:}};
 \node [anchor=south west] (flabel) at ([xshift=-1.8em]func.north west) {\footnotesize{Exponential:}};
 \end{scope}
 \end{scope}