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In mathematics, computable numbers are the real numbers that can be computed to within any desired precision by a finite, terminating algorithm. They are...

Real-time computing (RTC) is the computer science term for hardware and software systems subject to a "real-time constraint", for example from event to...

arithmetical number is computable. For example, the limit of a Specker sequence is an arithmetical number that is not computable. The definitions of arithmetical...

computation that has ever been imagined can compute only computable functions, and all computable functions can be computed by any of several models of computation...

computability theory, a function is called limit computable if it is the limit of a uniformly computable sequence of functions. The terms computable in...

computability theory, a function f : R → R {\displaystyle f\colon \mathbb {R} \to \mathbb {R} } is sequentially computable if, for every computable sequence...

Computable Analysis. O. Bournez; M. L. Campagnolo; D. S. Graça & E. Hainry (Jun 2007). "Polynomial differential equations compute all real computable...

a Turing machine. Hypercomputers compute functions that a Turing machine cannot and which are, hence, not computable in the Church–Turing sense. Technically...

science, computable analysis is the study of mathematical analysis from the perspective of computability theory. It is concerned with the parts of real analysis...

sequences has consequences for computable analysis. The fact that such sequences exist means that the collection of all computable real numbers does not satisfy...

of computable functions. It states that a function on the natural numbers can be calculated by an effective method if and only if it is computable by...

recognize. The domain of any universal computable function is a computably enumerable set but never a computable set. The domain is always Turing equivalent...

which is not computable is called noncomputable or undecidable. A more general class of sets than the computable ones consists of the computably enumerable...

Church–Turing thesis, which states that any function that is computable by an algorithm is a computable function. Although initially skeptical, by 1946 Gödel...

Look up real-time, realtime, or real time in Wiktionary, the free dictionary. Real-time, realtime, or real time may refer to: Real-time computing, hardware...

guaranteed to complete and halt cannot compute the computable function produced by Cantor's diagonal argument on all computable functions in that language. A computer...

testing the equality of two computable numbers. More precisely, there cannot exist any algorithm which takes any computable number as an input, and decides...

Enumerability: The set S is the range of a partial computable function. The set S is the range of a total computable function, or empty. If S is infinite, the...

integrals of analytic functions over closed curves; it can often be used to compute real integrals and infinite series as well. It generalizes the Cauchy integral...

real-time guarantees, which is necessary to support real-time guarantees of real-time computing. Real-time communication protocols are dependent not only...