For statistics in probability theory, the Boolean-Poisson model or simply Boolean model for a random subset of the plane (or higher dimensions, analogously)...
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function that determines Boolean values or operators Boolean model (probability theory), a model in stochastic geometry Boolean network, a certain network...
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simple power scheme. Stochastic geometry models of wireless networks Random graphs Boolean model (probability theory) Percolation thresholds Meester, R. (1996)...
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the Boolean algebra of statements may be finite. Other axiomatizations have been suggested by various authors with the purpose of making the theory more...
33 KB (3,425 words) - 13:44, 13 April 2025
pseudo-Boolean function; tools from the analysis of Boolean functions can be applied to describe and study it. The configuration probability is given...
88 KB (13,240 words) - 00:12, 11 June 2025
Analysis of Boolean functions Balanced Boolean function Bent function Boolean algebras canonically defined Boolean function Boolean matrix Boolean-valued function...
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model—usually called a "statistical model"—randomness is present, and variable states are not described by unique values, but rather by probability distributions...
34 KB (4,766 words) - 10:51, 20 May 2025
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...
12 KB (1,817 words) - 21:25, 9 September 2024
and BIC (Bayesian information criterion). Boolean model (probability theory) Continuum percolation theory Compound Poisson process Cox process Point...
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Binomial distribution (redirect from Binomial probability)
yes–no question, and each with its own Boolean-valued outcome: success (with probability p) or failure (with probability q = 1 − p). A single success/failure...
53 KB (7,554 words) - 03:55, 26 May 2025
mathematical model for obtaining a random graph, a site is "occupied" with probability p or "empty" (in which case its edges are removed) with probability 1 –...
26 KB (3,133 words) - 05:14, 12 April 2025
Outline of logic (section Model theory)
form (Boolean algebra) Boolean conjunctive query Boolean-valued model Boolean domain Boolean expression Boolean ring Boolean function Boolean-valued...
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computer science, game theory, and philosophy to, for example, draw inferences about the expected frequency of events. Probability theory is also used to describe...
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In the mathematical field of graph theory, the Erdős–Rényi model refers to one of two closely related models for generating random graphs or the evolution...
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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 logic and computer science, the Boolean satisfiability problem (sometimes called propositional satisfiability problem and abbreviated SATISFIABILITY...
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Fuzzy logic (redirect from Probability and fuzzy logic)
of a probability theory for jointly modelling uncertainty and vagueness. Bart Kosko claims in Fuzziness vs. Probability that probability theory is a subtheory...
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Product". Probability Course. Retrieved 2020-09-05. Vereshchagin, Nikolai Konstantinovich; Shen, Alexander (2002-01-01). Basic Set Theory. American Mathematical...
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number Algebraic logic Boolean algebra (logic) Dialectica space categorical logic Finite model theory Descriptive complexity theory Model checking Trakhtenbrot's...
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set theory and fuzzy set theory, in which the value of an atomic formula embodying the membership relation is not simply True or False. The Boolean-valued...
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George Boole (category Boolean algebra)
function that determines Boolean values or operators Boolean model (probability theory), a model in stochastic geometry Boolean network, a certain network...
64 KB (7,418 words) - 14:06, 9 June 2025
complexity theory, the language TQBF is a formal language consisting of the true quantified Boolean formulas. A (fully) quantified Boolean formula is...
26 KB (3,846 words) - 15:34, 27 May 2025
Cryptographic limitations on learning boolean formulae and finite automata. In Proceedings of the 21st Annual ACM Symposium on Theory of Computing, pages 433–444...
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probabilistic model, probability theory has been used as a principal means for modeling the retrieval process in mathematical terms. The probability model of information...
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resources, whatever the algorithm used. The theory formalizes this intuition, by introducing mathematical models of computation to study these problems and...
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{\phi } (g)=(\psi (1),\dots ,\psi (n)).} Probability theory Possibility theory Gustave Choquet (1953). "Theory of Capacities". Annales de l'Institut Fourier...
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set theory. Algebra of sets Axiom of choice Axiom of countable choice Axiom of dependent choice Zorn's lemma Axiom of power set Boolean-valued model Burali-Forti...
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first-order theory is given by a set of axioms in some language. This entry lists some of the more common examples used in model theory and some of their...
36 KB (5,269 words) - 20:51, 27 December 2024
Cox's theorem (redirect from Probability theory as extended logic)
laws of probability theory from a certain set of postulates. This derivation justifies the so-called "logical" interpretation of probability, as the laws...
15 KB (2,382 words) - 13:22, 9 June 2025
logical function), used in logic. Boolean functions are the subject of Boolean algebra and switching theory. A Boolean function takes the form f : { 0 ...
23 KB (2,887 words) - 02:18, 11 June 2025