Control Systems and Information Technologies

Automation and Remote Control

, Volume 72, Issue 11, pp 2402-2407

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

  • S. L. BlyuminAffiliated withLipetsk State Technical University

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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.