Synonymer & Information om | Engelska ordet COMPUTABLE

Exempel på hur man kan använda COMPUTABLE i en mening

• In computability theory, the Ackermann function, named after Wilhelm Ackermann, is one of the simplest and earliest-discovered examples of a total computable function that is not primitive recursive.
• In mathematics, computable numbers are the real numbers that can be computed to within any desired precision by a finite, terminating algorithm.
• It states that a function on the natural numbers can be calculated by an effective method if and only if it is computable by a Turing machine.
• In mathematical logic and computer science, a general recursive function, partial recursive function, or μ-recursive function is a partial function from natural numbers to natural numbers that is "computable" in an intuitive sense – as well as in a formal one.
• Logic of Computable Functions, a deductive system for computable functions, 1969 formalism by Dana Scott.
• The set of all integer sequences is uncountable (with cardinality equal to that of the continuum), and so not all integer sequences are computable.
• A recursively enumerable language is a formal language for which there exists a Turing machine (or other computable function) which will enumerate all valid strings of the language.
• In computer science, a universal Turing machine (UTM) is a Turing machine capable of computing any computable sequence, as described by Alan Turing in his seminal paper "On Computable Numbers, with an Application to the Entscheidungsproblem".
• A related theorem, which constructs fixed points of a computable function, is known as Rogers's theorem and is due to Hartley Rogers, Jr.
• Computability theory, also known as recursion theory, is a branch of mathematical logic, computer science, and the theory of computation that originated in the 1930s with the study of computable functions and Turing degrees.
• Logic for Computable Functions (LCF) is an interactive automated theorem prover developed at Stanford and Edinburgh by Robin Milner and collaborators in early 1970s, based on the theoretical foundation of logic of computable functions previously proposed by Dana Scott.
• Hypercomputers compute functions that a Turing machine cannot and which are, hence, not computable in the Church–Turing sense.
• For historical reasons and in order to have application to the solution of Diophantine equations, results in number theory have been scrutinised more than in other branches of mathematics to see if their content is effectively computable.
• Nevertheless, a refinement of Baker's theorem by Feldman provides an effective bound: if x is an algebraic number of degree n over the rational numbers, then there exist effectively computable constants c(x) > 0 and 0 < d(x) < n such that.
• The use of second-order arithmetic also allows many techniques from recursion theory to be employed; many results in reverse mathematics have corresponding results in computable analysis.
• A set S of natural numbers is called computably enumerable if there is a partial computable function whose domain is exactly S, meaning that the function is defined if and only if its input is a member of S.
• In computability theory, a set of natural numbers is called computable, recursive, or decidable if there is an algorithm which takes a number as input, terminates after a finite amount of time (possibly depending on the given number) and correctly decides whether the number belongs to the set or not.
• They may be further subdivided into differential and algebraic models (digital computers, in this context, should be thought of as topological, at least insofar as their operation on computable reals is concerned).
• This corresponds to a scientists' notion of randomness and clarifies the reason why Kolmogorov Complexity is not computable.
• Basic results are that all recursively enumerable classes of functions are learnable while the class REC of all computable functions is not learnable.

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