, Volume 72, Issue 11, pp 2402-2407
Date: 20 Nov 2011

Discreteness versus continuity in information technologies: Quantum calculus and its alternatives

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Abstract

In the paper, we discuss a role of quantum calculus, “differential calculus without taking limits” as a discrete analog of continuous mathematical analysis oriented on information technologies. We studied distinctive calculi that are alternative to quantum calculus and relate finite discriminators of values of an argument with finite discriminators of values of a function at their different combinations.

Original Russian Text © S.L. Blyumin, 2008, published in Sistemy Upravleniya i Informatsionnye Tekhnologii, 2008, No. 1, pp. 217–221.