ANF meaning in Academic & Science ?

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What is Algebraic Normal Form mean?

In Boolean algebra, the algebraic normal form (ANF), ring sum normal form (RSNF or RNF), Zhegalkin normal form, or Reed–Muller expansion is a way of writing logical formulas in one of three subforms:

The entire formula is purely true or false:10One or more variables are ANDed together into a term, then one or more terms are XORed together into ANF. No NOTs are permitted:a ⊕ b ⊕ ab ⊕ abcor in standard propositional logic symbols: a ⊻ b ⊻ ( a ∧ b ) ⊻ ( a ∧ b ∧ c ) {\displaystyle a\veebar b\veebar \left(a\wedge b\right)\veebar \left(a\wedge b\wedge c\right)} The previous subform with a purely true term:1 ⊕ a ⊕ b ⊕ ab ⊕ abc

Formulas written in ANF are also known as Zhegalkin polynomials (Russian: полиномы Жегалкина) and Positive Polarity (or Parity) Reed–Muller expressions (PPRM).

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Posted on 30 Oct 2024, this text provides information on Miscellaneous in Academic & Science related to Academic & Science. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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