deletions | additions       diff --git a/section_Multivariate_polynomials_on_bits__.tex b/section_Multivariate_polynomials_on_bits__.tex  index 3e5363f..50b13fa 100644  --- a/section_Multivariate_polynomials_on_bits__.tex  +++ b/section_Multivariate_polynomials_on_bits__.tex 
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then $\deg_1(x_1x_3^5x_4^2)=1$, $\deg_2(x_1x_3^5x_4^2)=0$,  $\deg_3(x_1x_3^5x_4^2)=5$, $\deg_4(x_1x_3^5x_4^2)=2$ and $\deg(x_1x_3^5x_4^2)=8$. \\  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 $\deg(g)=3$. $f=x_1^3x_2+x_1x_2^6-x_3^{10}x_2\in \Fb[x_1,x_2,x_3]$, $\deg(f)=11$.  \begin{Exercise}\label{Gradi}  In $\Fb[x_1,x_2x_3,x_4]$ what is...  \begin{itemize}