We began our study of boolean functions in Chapter 1.2 by considering their polynomial representations over the real field. In this section we take a brief look at their polynomial representations over the field ${\mathbb F}_2$, with $\mathsf{False}$, $\mathsf{True}$ being represented by $0, 1 \in {\mathbb F}_2$ as usual. Note that in the field ${\mathbb [...]

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jake wellens: In Ex. 31 (b), I think we should replace $1/M$ by something ...Grigory Yaroslavtsev: Nice, hope you enjoyed your visit :)Yongzhi: I think that the domain of the function g in Fact 21 should ...El Manolo: I can't figure out ex.12 b) and c) in the proposed way. Tha...R.: Is $\rho\neq 0$ required in 1(f)?R.: Typo: they introduced also introduced “tribes”Chin Ho Lee: they introduced also introduced “tribes” -> they also int...