this is for holding javascript data
Michela Ceria edited bits4.tex
about 6 years ago
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Verify the above statement, by evaluating $f$ at all $3$-tuples of bits.
\end{Exercise}
In general, it holds We conclude this section with the
following most general formulation of the Absolute Normal Form Theorem.
\begin{Theorem}[Absolute Normal Form Theorem]
Any Boolean function
$$f: (\Fb)^n \rightarrow (\Fb)$$
with $n\in \NN$, can be written as the sum of all the \emph{squarefree monomials} of degree from $0$ to $n$ with coefficients in $\Fb$ i.e.,
$$f(x,y,z)=a_0+a_1x_1+...+a_n $$f(x_1,...,x_n)=a_0+a_1x_1+...+a_n x_n+a_{n+1}x_1x_2+...+a_dx_1x_2...x_n.$$
\end{Theorem}
\begin{Example}\label{ExMorevar}
Consider the
\end{Example}