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...
8 KB (1,098 words) - 17:35, 15 April 2024
logic: Normal form (natural deduction) Algebraic normal form Canonical normal form Clausal normal form Conjunctive normal form Disjunctive normal form Negation...
938 bytes (128 words) - 12:20, 2 November 2022
In Boolean algebra, any Boolean function can be expressed in the canonical disjunctive normal form (CDNF), minterm canonical form, or Sum of Products (SoP...
24 KB (3,426 words) - 16:58, 22 May 2024
In linear algebra, a Jordan normal form, also known as a Jordan canonical form, is an upper triangular matrix of a particular form called a Jordan matrix...
43 KB (6,836 words) - 12:37, 25 June 2024
In Boolean logic, 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 is...
30 KB (3,470 words) - 22:52, 10 June 2024
fundamental form. Negation normal form Conjunctive normal form Disjunctive normal form Algebraic normal form Prenex normal form Skolem normal form Blake canonical...
19 KB (1,873 words) - 02:49, 30 June 2024
linear algebra, the Hermite normal form is an analogue of reduced echelon form for matrices over the integers Z. Just as reduced echelon form can be used...
14 KB (1,744 words) - 18:30, 4 August 2024
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...
17 KB (2,076 words) - 06:22, 18 July 2024
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...
33 KB (5,153 words) - 14:47, 4 July 2024
Boolean algebra De Morgan algebra First-order logic Heyting algebra Lindenbaum–Tarski algebra Skew Boolean algebra Algebraic normal form Boolean conjunctive...
6 KB (271 words) - 23:18, 23 July 2024
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...
23 KB (2,887 words) - 18:33, 15 April 2024
Sixth normal form (6NF) is a normal form used in relational database normalization which extends the relational algebra and generalizes relational operators...
10 KB (904 words) - 04:56, 7 June 2024
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...
31 KB (3,346 words) - 00:37, 8 August 2024
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...
7 KB (794 words) - 07:26, 26 June 2021
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...
16 KB (2,832 words) - 14:45, 31 January 2024
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}...
4 KB (885 words) - 14:34, 28 April 2024
In computer science, Backus–Naur form (/ˌbækəs ˈnaʊər/) (BNF or Backus normal form) is a notation used to describe the syntax of programming languages...
31 KB (3,647 words) - 08:59, 1 August 2024
Tautology (logic) (section Normal forms)
not a tautology of propositional logic. Algebraic normal form Conjunctive normal form Disjunctive normal form Logic optimization Weisstein, Eric W. "Tautology"...
21 KB (2,981 words) - 04:37, 21 July 2024
In mathematics and computer science, computer algebra, also called symbolic computation or algebraic computation, is a scientific area that refers to the...
25 KB (3,016 words) - 11:24, 4 July 2024
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,...
5 KB (532 words) - 18:02, 25 May 2023
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...
7 KB (1,087 words) - 19:07, 14 June 2024
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...
16 KB (2,877 words) - 09:45, 29 April 2024
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...
16 KB (3,144 words) - 12:06, 27 May 2024
linear algebra, analytic geometry, and in the majority of applications of quadratic forms, the coefficients are real or complex numbers. In the algebraic theory...
33 KB (4,554 words) - 17:42, 31 May 2024
Administrative Normal Form, a representation used in computing Agitated Nutsche Filter, a type of filter for liquid Algebraic normal form, a method of standardizing...
2 KB (267 words) - 18:16, 25 September 2023
concept of normal matrices can be extended to normal operators on infinite-dimensional normed spaces and to normal elements in C*-algebras. As in the...
13 KB (1,656 words) - 01:07, 5 June 2024
extension), used heavily in cryptography Normal bundle Normal cone, of a subscheme in algebraic geometry Normal coordinates, in differential geometry, local...
4 KB (570 words) - 11:53, 29 March 2024
Bring radical (redirect from Bring-Jerrard normal form)
therefore an algebraic solution in terms of algebraic functions (defined broadly to include Bring radicals) of a single variable — an algebraic solution of...
40 KB (8,540 words) - 02:24, 2 June 2024
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...
6 KB (818 words) - 14:46, 20 June 2023
In mathematics, an affine algebraic plane curve is the zero set of a polynomial in two variables. A projective algebraic plane curve is the zero set in...
49 KB (7,984 words) - 19:34, 7 February 2024