PhD

The LaTeX sources of my Ph.D. thesis
git clone https://esimon.eu/repos/PhD.git
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distant.tex (520B)

      1 \begin{frame}{Distant Supervision}
      2 	\begin{block}{\hypothesis{distant}}
      3 		A sentence conveys all the possible relations between all the entities it contains.
      4 
      5 		\smallskip
      6 
      7 		\(\dataSet_\relationSet = \dataSet \bowtie \kbSet\)
      8 
      9 		\smallskip
     10 
     11 		where \(\bowtie\) denotes the natural join operator:
     12 		\begin{equation*}
     13 			\dataSet \bowtie \kbSet =
     14 				\left\{\,
     15 					(s, e_1, e_2, r)
     16 					\mid
     17 					(s, e_1, e_2)\in\dataSet
     18 					\land
     19 					(e_1, e_2, r)\in\kbSet
     20 				\,\right\}.
     21 		\end{equation*}
     22 	\end{block}
     23 \end{frame}