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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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Implementation of Arithmetic Functions on a Simple and Universal Molecular Beacon Platform. [PDF]
Adv Sci (Weinh), 2015 Diverse advanced logic circuits are fabricated to implement arithmetic functions based on a simple and single molecular beacon platform, including half adder, half subtractor, full adder, full subtractor, and a digital comparator.
Li H +6 more
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Some new arithmetic functions [PDF]
Notes on Number Theory and Discrete MathematicsWe introduce and study some new arithmetic functions, connected with the classical functions φ (Euler's totient), ψ (Dedekind's function) and σ (sum of divisors function).
József Sándor, Krassimir Atanassov
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Ramanujan expansions of arithmetic functions of several variables [PDF]
Ramanujan Journal, 2017 We generalize certain recent results of Ushiroya concerning Ramanujan expansions of arithmetic functions of two variables. We also show that some properties on expansions of arithmetic functions of one and several variables using classical and unitary ...
László Tóth, Tóth László
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Properties of rational arithmetic functions
International Journal of Mathematics and Mathematical Sciences, 2005 Rational arithmetic functions are arithmetic functions of the form g1∗⋯∗gr∗h1−1∗⋯∗hs−1, where gi, hj are completely multiplicative functions and ∗ denotes the Dirichlet convolution. Four aspects of these functions are studied.
Vichian Laohakosol, Nittiya Pabhapote
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More than number sense: The additional role of executive functions and metacognition in arithmetic
Journal of Experimental Child Psychology, 2019 Arithmetic is a major building block for children's development of more complex mathematical abilities. Knowing which cognitive factors underlie individual differences in arithmetic is key to gaining further insight into children's mathematical ...
Elien Bellon, Wim Fias, Bert De Smedt
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Two arithmetic functions related to Euler's and Dedekind's functions [PDF]
Notes on Number Theory and Discrete MathematicsTwo new arithmetic functions are introduced. In some sense, they are modifications of Euler's and Dedekind's functions. Some properties of the new functions are studied.
Krassimir Atanassov
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The arithmetic derivative and Leibniz-additive functions [PDF]
Notes on Number Theory and Discrete Mathematics, 2018 An arithmetic function $f$ is Leibniz-additive if there is a completely multiplicative function $h_f$, i.e., $h_f(1)=1$ and $h_f(mn)=h_f(m)h_f(n)$ for all positive integers $m$ and $n$, satisfying $$ f(mn)=f(m)h_f(n)+f(n)h_f(m) $$ for all positive ...
P. Haukkanen +2 more
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On certain arithmetic functions involving the greatest common divisor
Open Mathematics, 2012 Krätzel Ekkehard +2 more
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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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