Results 11 to 20 of about 11,114,666 (310)
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
doaj +2 more sources
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
europepmc +2 more sources
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 ...
Haukkanen, Pentti +2 more
core +5 more sources
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. In this note we wish to point out that the arithmetic functions introduced all are particular cases of our function Fj, defined in the following ...
Sandor, J.
openaire +4 more sources
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
doaj +4 more sources
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
doaj +2 more sources
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
doaj +10 more sources
A Q# Implementation of a Quantum Lookup Table for Quantum Arithmetic Functions [PDF]
2022 IEEE/ACM Third International Workshop on Quantum Computing Software (QCS), 2022 In this paper, we present Q# implementations for arbitrary single-variabled fixed-point arithmetic op-erations for a gate-based quantum computer based on lookup tables (LUTs).
R. Krishnakumar +3 more
semanticscholar +1 more source
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
doaj +1 more source
Polynomial Expressions for Certain Arithmetic Functions
Journal of Mountain Research, 2023 t: We exhibit polynomial expressions for the arithmetic functions and , the number of representations of n as a sum of k squares and k triangular numbers, respectively, and also for the color ...
M. A. Pathan +3 more
semanticscholar +1 more source