# bound variables

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bound variables

Philosophy dictionary. . 2011.

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• Free variables and bound variables — In mathematics, and in other disciplines involving formal languages, including mathematical logic and computer science, a free variable is a notation that specifies places in an expression where substitution may take place. The idea is related to …   Wikipedia

• bound variable — A variable x is bound in a formula if it is within the scope of a quantifier (in first order logic, (∀x ) or (∃x )). Intuitively this means that as the formula is evaluated and x in this occurrence is assigned to an object, the quantified… …   Philosophy dictionary

• Chernoff bound — In probability theory, the Chernoff bound, named after Herman Chernoff, gives exponentially decreasing bounds on tail distributions of sums of independent random variables. It is better than the first or second moment based tail bounds such as… …   Wikipedia

• Tsirelson's bound — Tsirelson s bound, also known as Tsirelson s inequality, or in another transliteration, Cirel son s inequality, arises in quantum mechanics, in discussion and experimental determination of whether local hidden variables are required for, or even… …   Wikipedia

• Errors-in-variables models — In statistics and econometrics, errors in variables models or measurement errors models are regression models that account for measurement errors in the independent variables. In contrast, standard regression models assume that those regressors… …   Wikipedia

• Bloch's theorem (complex variables) — Bloch s theorem, named after André Bloch is as follows.Let f be a holomorphic function on a region (i.e. an open, connected subset of C) that includes as a subset the closed unit disk | z | le; 1. Suppose f (0) = 0 and f prime;(0) = 1. Then for… …   Wikipedia

• First-order logic — is a formal logical system used in mathematics, philosophy, linguistics, and computer science. It goes by many names, including: first order predicate calculus, the lower predicate calculus, quantification theory, and predicate logic (a less… …   Wikipedia

• formal logic — the branch of logic concerned exclusively with the principles of deductive reasoning and with the form rather than the content of propositions. [1855 60] * * * Introduction       the abstract study of propositions, statements, or assertively used …   Universalium

• Hindley–Milner — In type theory, Hindley–Milner (HM) (also known as Damas–Milner or Damas–Hindley–Milner) is a classical type inference method with parametric polymorphism for the lambda calculus, first described by J. Roger Hindley and later rediscovered by… …   Wikipedia

• Lambda calculus — In mathematical logic and computer science, lambda calculus, also written as λ calculus, is a formal system designed to investigate function definition, function application and recursion. It was introduced by Alonzo Church and Stephen Cole… …   Wikipedia