resolved issue #100

chapters/arithmetics-moonmath.tex

@@ -120,7 +120,7 @@ \subsection{\concept{Euclidean division}}
 
 This section introduces division with a remainder for integers, usually called \term{\concept{Euclidean division}}. It is an essential technique underlying many concepts in this book.\footnote{\concept{Euclidean division} is introduced in \chaptname{} 1, \secname{} 5 of \cite{mignotte-1992} and in \chaptname{} 1, \secname{} 1.3 of \cite{cohen-2010}.} The precise definition is as follows:
 
-Let $ a \in \Z $ and $ b \in \Z $ be two integers with $b\neq 0$. Then there is always another integer $ m \in \Z $ and a natural number $ r \in \N $, with $ 0 \leq r <|b| $ such that the following holds:
+Let $ a \in \Z $ and $ b \in \Z $ be two integers with $b\neq 0$. Then there is always another integer $ m \in \Z $ and a non negative integer $ r \in \N_0 $, with $ 0 \leq r <|b| $ such that the following holds:
 \begin{equation}
 \label{eq_euclidean_division}
 a = m \cdot b + r