introducing the concept of phrase alignment into Section 4 (slides)

Section04-Phrasal-and-Syntactic-Models/section04.tex

@@ -981,7 +981,7 @@
 \begin{frame}{基于短语的翻译推导}
 \begin{beamerboxesrounded}[upper=uppercolblue,lower=lowercolblue,shadow=true]{定义 - 基于短语的翻译推导}
 {\small
-对于源语和目标语句对($\textbf{s}, \textbf{t}$)，有$l$个短语对$\{(\bar{s}_i,\bar{t}_j)\}$，且所有源语言短语$\{\bar{s}_i\}$和所有目标语短语$\{\bar{t}_j\}$分别构成$\textbf{s}$和$\textbf{t}$ 的切分，则称这些短语对$\{(\bar{s}_i,\bar{t}_j)\}$构成了$\textbf{s}$到$\textbf{t}$的\alert{基于短语的翻译推导}(简称推导)，记为$d(\{(\bar{s}_i,\bar{t}_j)\},\textbf{s},\textbf{t})$(简记为$d(\{(\bar{s}_i,\bar{t}_j)\})$或$d$)。
+对于源语和目标语句对($\textbf{s}, \textbf{t}$)，分别有切分$\{\bar{s}_i\}$和$\{\bar{t}_j\}$，且存$\{\bar{s}_i\}$和$\{\bar{t}_j\}$之间存在一一对应的关系。令$\{\bar{a}_j\}$表示$\{\bar{t}_j\}$中每个短语对应到源语言短语的编号，则称这些短语对$\{(\bar{s}_{\bar{a}_j},\bar{t}_j)\}$构成了$\textbf{s}$到$\textbf{t}$的\alert{基于短语的翻译推导}(简称推导)，记为$d(\{(\bar{s}_{\bar{a}_j},\bar{t}_j)\},\textbf{s},\textbf{t})$(简记为$d(\{(\bar{s}_{\bar{a}_j},\bar{t}_j)\})$或$d$)。
 }
 \end{beamerboxesrounded}
 
@@ -1013,9 +1013,9 @@
 \path[<->, thick] (s2.south) edge (t2.north);
 \path[<->, thick] (s3.south) edge (t3.north);
 
-\node[anchor=south,inner sep=0pt,yshift=-0.3em] (sp1) at (s1.north) {\scriptsize{$\bar{s}_1$}};
-\node[anchor=south,inner sep=0pt,yshift=-0.3em] (sp2) at (s2.north) {\scriptsize{$\bar{s}_2$}};
-\node[anchor=south,inner sep=0pt,yshift=-0.3em] (sp3) at (s3.north) {\scriptsize{$\bar{s}_3$}};
+\node[anchor=south,inner sep=0pt,yshift=-0.3em] (sp1) at (s1.north) {\scriptsize{$\bar{s}_{a_1 = 1}$}};
+\node[anchor=south,inner sep=0pt,yshift=-0.3em] (sp2) at (s2.north) {\scriptsize{$\bar{s}_{a_2 = 2}$}};
+\node[anchor=south,inner sep=0pt,yshift=-0.3em] (sp3) at (s3.north) {\scriptsize{$\bar{s}_{a_3 = 3}$}};
 \node[anchor=north,inner sep=0pt,yshift=0.3em] (tp1) at (t1.south) {\scriptsize{$\bar{t}_1$}};
 \node[anchor=north,inner sep=0pt,yshift=0.3em] (tp2) at (t2.south) {\scriptsize{$\bar{t}_2$}};
 \node[anchor=north,inner sep=0pt,yshift=0.3em] (tp3) at (t3.south) {\scriptsize{$\bar{t}_3$}};
@@ -1027,11 +1027,11 @@
 \vspace{-1.0em}
 
 \begin{itemize}
-\item $\{(\bar{s}_k,\bar{t}_k)\}$构成了$(\textbf{s},\textbf{t})$的一个基于短语的翻译推导
+\item $\{(\bar{s}_{\bar{a}_j},\bar{t}_j)\}$构成了$(\textbf{s},\textbf{t})$的一个基于短语的翻译推导
 \item 需要在建模中描述的两个问题：
     \begin{itemize}
-    \item $\bar{s}_k$是如何被翻译成$\bar{t}_k$的?
-    \item $\bar{t}_k$在目标语中位置是如何决定的?
+    \item $\bar{s}_{\bar{a}_j}$是如何被翻译成$\bar{t}_j$的?
+    \item 翻译的顺序是如何决定的，即如何得到$\{\bar{a}_j\}$?
     \end{itemize}
 \end{itemize}