Results 11 to 20 of about 85,514 (301)

Function Interval Arithmetic [PDF]

, 2014
We propose an arithmetic of function intervals as a basis for convenient rigorous numerical computation. Function intervals can be used as mathematical objects in their own right or as enclosures of functions over the reals. We present two areas of application of function interval arithmetic and associated software that implements the arithmetic: (1 ...
Jan Duracz, Amin Farjudian, Michal Konecný, Walid Taha   +3 more
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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. 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.
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Further Results on a Curious Arithmetic Function

Journal of Mathematics, 2020
Let p be an odd prime number and n be a positive integer. Let vpn, N∗, and Q+ denote the p-adic valuation of the integer n, the set of positive integers, and the set of positive rational numbers, respectively.
Long Chen, Kaimin Cheng, Tingting Wang
doaj   +2 more sources

An arithmetic term for the factorial function

Examples and Counterexamples
As proved by Marchenkov and Mazzanti, every Kalmar function can be represented by arithmetic terms. We display one of such terms to represent the factorial function, and as a consequence, we get an example of an arithmetic term which represents a ...
Mihai Prunescu, Lorenzo Sauras-Altuzarra
doaj   +2 more sources

On an additive arithmetic function [PDF]

Pacific Journal of Mathematics, 1977
Let \(n\) be a positive integer, \(n=\prod\limits_{i=1}^rp_i^{\alpha_i}\) in canonical form, and let \(A(n)=\sum\limits_{i=1}^r\alpha_ip_i\). Clearly \(A\) is an additive arithmetic function.
Alladi, K., Erdős, P.
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GEOMETRIC THEOREMS, DIOPHANTINE EQUATIONS, AND ARITHMETIC FUNCTIONS [PDF]

, 2002
This book contains short notes or articles, as well as studies on several topics of Geometry and Number theory. The material is divided into ve chapters: Geometric theorems; Diophantine equations; Arithmetic functions; Divisibility properties of numbers ...
Sándor, József
core   +1 more source

On two inequalities for the composition of arithmetic functions [PDF]

, 2012
A paper about two inequalities for the composition of arithmetic ...
József Sándor, Sandor, Jozsef
core   +1 more source

Domain-specific skills, but not fine-motor or executive function, predict later arithmetic and reading in children

, 2022
Fine motor skills and executive function are two examples of domain-general skills. Both are correlates of arithmetic and reading ability, and have been identified as predictors of school readiness.
Hulme, Charles, Pritchard, Verena E, Malone, Stephanie A   +2 more
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On a certain class of arithmetic functions [PDF]

Mathematica Bohemica, 2017
A homothetic arithmetic function of ratio $K$ is a function $f \mathbb{N}\rightarrow R$ such that $f(Kn)=f(n)$ for every $n\in\mathbb{N}$. Periodic arithmetic funtions are always homothetic, while the converse is not true in general.
Antonio M. Oller-Marcén
doaj   +1 more source

New Arithmetic Operations of Non-Normal Fuzzy Sets Using Compatibility

Axioms, 2023
The new arithmetic operations of non-normal fuzzy sets are studied in this paper by using the extension principle and considering the general aggregation function. Usually, the aggregation functions are taken to be the minimum function or t-norms.
Hsien-Chung Wu
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