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Real-time calculations

Real-time computations are a class of problems solved within the framework of the theory of algorithms and first considered by Hisao Yamada in 1962. Typically, problems are formulated in terms of abstract calculators, such as a Turing machine or a Post machine , and are associated with studies of the properties of monotonically increasing functionsU(n) {\ displaystyle U (n)} U (n) for which there is a generator of sequences of output characters printing onj {\ displaystyle j} j tape measureone {\ displaystyle 1} one , if aU(i)=j {\ displaystyle U (i) = j} {\ displaystyle U (i) = j} for somei {\ displaystyle i} i , and0 {\ displaystyle 0} {\ displaystyle 0} otherwise. Such functions are called “real-time computable” [1] .

Solutions to such problems can be used as a theoretical basis for proving the correctness and effectiveness of algorithms used in real-time systems .

Notes

  1. ↑ S. S. Marchenkov, V. L. Matrosov, “Complexity of Algorithms and Computations”, Itogi Nauki i Tekhniki. Ser. Theor probable Mat. stat. Theor cybernet., 16, VINITI, M., 1979, 103-149
Source - https://ru.wikipedia.org/w/index.php?title=Real_Calculations&oldid=79194353


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Clever Geek | 2019