Discreteness versus continuity in information technologies: Quantum calculus and its alternatives
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- Blyumin, S.L. Autom Remote Control (2011) 72: 2402. doi:10.1134/S0005117911110142
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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.