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On Certain Arithmetic Functions [PDF]
, 2000 In the recent book there appear certain arithmetic functions which are similar to the Smarandache function. In a recent paper we have considered certain generalization or duals of the Smarandache function.
Sandor, J.
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IEEE Access, 2020 Stochastic computing (SC) has been applied on the implementations of complex arithmetic functions. Complicated polynomial-based approximations lead to large hardware complexity of previous SC circuits for arithmetic functions.
Zidi Qin +6 more
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Provably Total Functions of Arithmetic with Basic Terms [PDF]
Electronic Proceedings in Theoretical Computer Science, 2012 A new characterization of provably recursive functions of first-order arithmetic is described. Its main feature is using only terms consisting of 0, the successor S and variables in the quantifier rules, namely, universal elimination and existential ...
Evgeny Makarov
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Interactive Realizability and the elimination of Skolem functions in Peano Arithmetic [PDF]
Electronic Proceedings in Theoretical Computer Science, 2012 We present a new syntactical proof that first-order Peano Arithmetic with Skolem axioms is conservative over Peano Arithmetic alone for arithmetical formulas.
Federico Aschieri, Margherita Zorzi
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Teachers’ Beliefs and Practices Regarding the Role of Executive Functions in Reading and Arithmetic
Frontiers in Psychology, 2016 The current study investigated early elementary school teachers’ beliefs and practices regarding the role of Executive Functions in reading and arithmetic.
Shirley Rapoport +2 more
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Arithmetic Proficiency Across Adulthood: Cognitive and Subjective Influences [PDF]
European Journal of Investigation in Health, Psychology and EducationArithmetic competence is crucial for navigating modern society and maintaining independence. It relies on domain-general and domain-specific cognitive skills, as well as subjective factors.
Elisabeth Goettfried +6 more
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On certain equations and inequalities involving the arithmetical functions φ(n) and d(n) – II [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 In papers [3] and [5] we have studied certain equations and inequalities involving the arithmetical functions φ(n) and d(n). In this paper we will consider some other equations. Some open problems will be stated, too.
József Sándor
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Mathematics, 2021 In this paper, we find some inequalities which involve Euler’s function, extended Euler’s function, the function τ, and the generalized function τ in algebraic number fields.
Nicuşor Minculete, Diana Savin
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On a question of A. Schinzel: Omega estimates for a special type of arithmetic functions
Open Mathematics, 2013 Kühleitner Manfred, Nowak Werner
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Objects generated by an arbitrary natural number. Part 4: New aspects [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 The set Set(n), generated by an arbitrary natural number n, was defined in [3]. There, and in [5, 6], some arithmetic functions and arithmetic operators of a modal and topological types are defined over the elements of Set(n).
Krassimir Atanassov
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