tex: NFBP math impl

latex/content.tex

@@ -132,6 +132,21 @@ We use the following variables in our algorithms and models :
 
 \end{itemize}
 
+Mathematically, the NFBP algorithm imposes the following constraint on the first box :
+
+\begin{align*}
+	T_1 = k \iff & U_1 + U_2 + \ldots + U_{k-1}  < 1                                  \\
+	\text{ and } & U_1 + U_2 + \ldots + U_{k}    \geq 1 \qquad \text{ with } k \geq 2
+\end{align*}
+
+
+\subsection{Implementation and results}
+
+We implemented the NFBP algorithm in Python, for it's ease of use and broad
+recommendation.
+
+
+
 \cite{hofri:1987}
 % TODO mettre de l'Histoire