The (standard) Boolean model of information retrieval (BIR) is a classical information retrieval (IR) model and, at the same time, the first and most-adopted...
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In mathematics and mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. First, the values of the...
75 KB (9,572 words) - 01:33, 11 June 2025
In computer science, the Boolean (sometimes shortened to Bool) is a data type that has one of two possible values (usually denoted true and false) which...
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In logic and computer science, the Boolean satisfiability problem (sometimes called propositional satisfiability problem and abbreviated SATISFIABILITY...
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Salton, Gerard; Fox, Edward A.; Wu, Harry (November 1983). "Extended Boolean information retrieval". Communications of the ACM. 26 (11): 1022–1036. doi:10...
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In mathematics, a Boolean function is a function whose arguments and result assume values from a two-element set (usually {true, false}, {0,1} or {−1...
23 KB (2,887 words) - 21:32, 19 June 2025
MARC standards. Boolean logic The algebraic system, developed by George Boole that is applied to Boolean expressions that contain Boolean operators such...
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Tf–idf (section Link with information theory)
to modern information retrieval. McGraw-Hill. ISBN 978-0-07-054484-0. Salton, G.; Fox, E. A.; Wu, H. (1983). "Extended Boolean information retrieval"...
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a formal language consisting of the true quantified Boolean formulas. A (fully) quantified Boolean formula is a formula in quantified propositional logic...
26 KB (3,846 words) - 00:01, 20 June 2025
Lloyd-Price; Bjorn Samuelsson & Joshua Socolar (2008). "Mutual Information in Random Boolean models of regulatory networks". Physical Review E. 77 (1): 011901...
56 KB (8,853 words) - 23:22, 5 June 2025
of the Extended Boolean model is to overcome the drawbacks of the Boolean model that has been used in information retrieval. The Boolean model doesn't consider...
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Laws of Thought..., which lays the foundations for Boolean algebra, which is later used in information retrieval. In 1860 a congress was held at Karlsruhe...
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single bit of information. In the formal sciences, mathematics, mathematical logic, statistics, and their applied disciplines, a Boolean-valued function...
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set-theoretic operations on those sets. Common models are: Standard Boolean model Extended Boolean model Fuzzy retrieval Algebraic models represent documents and...
44 KB (4,962 words) - 17:01, 25 May 2025
the Cook–Levin theorem, also known as Cook's theorem, states that the Boolean satisfiability problem is NP-complete. That is, it is in NP, and any problem...
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sphere. While classical gates correspond to the familiar operations of Boolean logic, quantum gates are physical unitary operators. Due to the volatility...
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Claude Shannon (redirect from Father of information theory)
"father of information theory" and the man who laid the foundations of the Information Age. Shannon was the first to describe the use of Boolean algebra—essential...
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Boolean differential calculus (BDC) (German: Boolescher Differentialkalkül (BDK)) is a subject field of Boolean algebra discussing changes of Boolean...
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George Boole (category Boolean algebra)
contains Boolean algebra. Boolean logic, essential to computer programming, is credited with helping to lay the foundations for the Information Age. Boole...
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A Boolean network consists of a discrete set of Boolean variables each of which has a Boolean function (possibly different for each variable) assigned...
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A logic gate is a device that performs a Boolean function, a logical operation performed on one or more binary inputs that produces a single binary output...
42 KB (3,649 words) - 19:28, 10 June 2025
Boolean grammars, introduced by Okhotin [Wikidata], are a class of formal grammars studied in formal language theory. They extend the basic type of grammars...
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mathematics, a residuated Boolean algebra is a residuated lattice whose lattice structure is that of a Boolean algebra. Examples include Boolean algebras with the...
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In mathematics, a symmetric Boolean function is a Boolean function whose value does not depend on the order of its input bits, i.e., it depends only on...
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over many queries. IR models can be broadly divided into three types: Boolean models or BIR, Vector Space Models, and Probabilistic Models. Various comparisons...
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improper information flows. In a programming language augmented with a security type system every expression carries both a type (such as boolean, or integer)...
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Full-text search (redirect from Boolean search)
within a stored data record, such as "Title" or "Author." Boolean queries. Searches that use Boolean operators (for example, "encyclopedia" AND "online" NOT...
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Bit array (redirect from Boolean array)
arrays are composed with matrix multiplication where the arithmetic is Boolean, and such a composition represents composition of relations. Although most...
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Church encoding (redirect from Church boolean)
are usually considered primitive in other notations (such as integers, Booleans, pairs, lists, and tagged unions) are mapped to higher-order functions...
48 KB (8,556 words) - 17:17, 6 June 2025
Truth table (category Boolean algebra)
mathematical table used in logic—specifically in connection with Boolean algebra, Boolean functions, and propositional calculus—which sets out the functional...
43 KB (3,307 words) - 00:46, 15 April 2025