this is for holding javascript data
Michela Ceria edited bits4.tex
about 6 years ago
Commit id: f5607f4e9b1afa08c6f444b49387f3284ce0dc3c
deletions | additions
diff --git a/bits4.tex b/bits4.tex
index 825a691..6e00f91 100644
--- a/bits4.tex
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$$f (x, y, z) = axyz + bxy + cxz + dyz + \alpha x + \beta y + \gamma z + \delta,$$
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for some $a, b, c, d,\alpha, \beta, \gamma,\delta \in \Fb$.
By evaluating the ANF at $(0,0,0)$ we see that $f (0, 0, 0) =
h$. \delta$. By definition of $f$, $f (0, 0, 0) = 0$, so we have identified $\delta$ as $\delta = 0$.\\
By evaluating the ANF at $(1,0,0)$ we see that $f (1, 0, 0) = \alpha+ \delta =\alpha$. By definition of $f$, $f (1, 0, 0) = 1$, so we have identified $\alpha$ as $\alpha = 1$.
Similarly we deduce $\beta =1$ and $\gamma=0$.
By evaluating the ANF at $(1,1,0)$ we see that $f (1, 1, 0) = b+\alpha+ \beta +\delta =b$. By definition of $f$, $f (1, 1, 0) = 0$, so we have identified $b$ as $b = 0$.