Automation and Remote Control

, Volume 72, Issue 11, pp 2402–2407

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


  • S. L. Blyumin
    • Lipetsk State Technical University
Control Systems and Information Technologies

DOI: 10.1134/S0005117911110142

Cite this article as:
Blyumin, S.L. Autom Remote Control (2011) 72: 2402. doi:10.1134/S0005117911110142


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.

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© Pleiades Publishing, Ltd. 2011