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...
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In Boolean algebra, any Boolean function can be expressed in the canonical disjunctive normal form (CDNF), minterm canonical form, or Sum of Products (SoP...
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logic: Normal form (natural deduction) Algebraic normal form Canonical normal form Clausal normal form Conjunctive normal form Disjunctive normal form Negation...
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In Boolean algebra, a formula is in conjunctive normal form (CNF) or clausal normal form if it is a conjunction of one or more clauses, where a clause...
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fundamental form. Negation normal form Conjunctive normal form Disjunctive normal form Algebraic normal form Prenex normal form Skolem normal form Blake canonical...
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In boolean logic, a disjunctive normal form (DNF) is a canonical normal form of a logical formula consisting of a disjunction of conjunctions; it can also...
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Zhegalkin polynomial (redirect from Zhegalkin normal form)
(Russian: полиномы Жегалкина), also known as algebraic normal form, are a representation of functions in Boolean algebra. Introduced by the Russian mathematician...
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algebraic multiplicity of v. The Jordan form is used to find a normal form of matrices up to conjugacy such that normal matrices make up an algebraic...
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Boolean algebra De Morgan algebra First-order logic Heyting algebra Lindenbaum–Tarski algebra Skew Boolean algebra Algebraic normal form Boolean conjunctive...
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Boolean function (category Boolean algebra)
functional completeness) The algebraic degree of a function is the order of the highest order monomial in its algebraic normal form Circuit complexity attempts...
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In linear algebra, the Hermite normal form is an analogue of reduced echelon form for matrices over the integers Z {\displaystyle \mathbb {Z} } . Just...
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Symmetric Boolean function (category Boolean algebra)
f k {\displaystyle |f|=\sum _{k=0}^{n}{\binom {n}{k}}f_{k}} The algebraic normal form either contains all monomials of certain order m {\displaystyle...
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Sixth normal form (6NF) is a normal form used in relational database normalization which extends the relational algebra and generalizes relational operators...
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Exclusive or (section Relation to modern algebra)
\mathbb {F} _{2}} , using this basis, is called the function's algebraic normal form. Disjunction is often understood exclusively in natural languages...
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Administrative Normal Form, a representation used in computing Agitated Nutsche Filter, a type of filter for liquid Algebraic normal form, a method of standardizing...
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In computer science, Backus–Naur form (BNF, pronounced /ˌbækəs ˈnaʊər/), also known as Backus normal form, is a notation system for defining the syntax...
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language theory, a noncontracting grammar is in Kuroda normal form if all production rules are of the form: AB → CD or A → BC or A → B or A → a where A, B,...
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In linear algebra, the Frobenius normal form or rational canonical form of a square matrix A with entries in a field F is a canonical form for matrices...
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linear algebra, analytic geometry, and in the majority of applications of quadratic forms, the coefficients are real or complex numbers. In the algebraic theory...
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First normal form (1NF) is the simplest form of database normalization defined by English computer scientist Edgar F. Codd, the inventor of the relational...
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In mathematics, the Smith normal form (sometimes abbreviated SNF) is a normal form that can be defined for any matrix (not necessarily square) with entries...
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between Lie groups and Lie algebras, the notion of a real form can be defined for Lie groups. In the case of linear algebraic groups, the notions of complexification...
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specifically the algebraic theory of fields, a normal basis is a special kind of basis for Galois extensions of finite degree, characterised as forming a single...
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In linear algebra and ring theory, the Howell normal form is a generalization of the row echelon form of a matrix over Z N {\displaystyle \mathbb {Z}...
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Tautology (logic) (section Normal forms)
A → A {\displaystyle \neg \neg A\to A} Algebraic normal form Conjunctive normal form Disjunctive normal form Logic optimization Weisstein, Eric W. "Tautology"...
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In mathematics and computer science, computer algebra, also called symbolic computation or algebraic computation, is a scientific area that refers to the...
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In algebraic geometry, an algebraic variety or scheme X is normal if it is normal at every point, meaning that the local ring at the point is an integrally...
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This is a glossary of algebraic geometry. See also glossary of commutative algebra, glossary of classical algebraic geometry, and glossary of ring theory...
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mathematics, an algebraic group is an algebraic variety endowed with a group structure that is compatible with its structure as an algebraic variety. Thus...
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a function that preserves the underlying algebraic structure in the domain to its image. When the algebraic structures involved have an underlying group...
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