deletions | additions       diff --git a/section_Multivariate_polynomials_on_bits__.tex b/section_Multivariate_polynomials_on_bits__.tex  index cf0febe..79fe381 100644  --- a/section_Multivariate_polynomials_on_bits__.tex  +++ b/section_Multivariate_polynomials_on_bits__.tex 
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$deg_3(x_1x_3^5)=5$ and $deg(x_1x_3^5)=6$. \\  The \emph{degree of a polynomial} $f\in \Fb[x_1,...,x_n] $ is the maximal degree of the monomials appearing  in $f$ with nonzero coefficient, so, if $f=x^3y+xz^6-z^2\in \Fb[x,y,z]$, $deg(f)=7$ and if $g=x^3+0y^{12}$ then $deg(g)=3$.  \\ \begin{Exercise}\label{Gradi}  In $\Fb[x_1,x_2x_3]$ what is...  \begin{itemize}  \item the $2$-degree of $x_2^3x_3$?  \item the degree of $x_2^3x_3+x_2$?  \item the degree of $x_1^7+x_2^4x_3^3$?  \end{itemize}  \end{Exercise}  Two polynomials $f,g \in \Fb[x_1,...,x_n]$ are called \emph{equal} if   \begin{center}  \emph{a term $x_1^{i_1}\cdots x_n^{i_n}$ appears in $f$ with nonzero coefficient $a_{i_1...i_n}$ \\