Results 1 to 10 of about 2,801,019 (118)

The mean value of the function d(n)/d*(n) in arithmetic progressions [PDF]

Notes on Number Theory and Discrete Mathematics, 2023
Let d(n) and d*(n) be, respectively, the number of divisors and the number of unitary divisors of an integer n≥1. A divisor d of an integer is to be said unitary if it is prime over n/d.
Ouarda Bouakkaz, Abdallah Derbal
doaj   +1 more source

On Representations of Divergence Measures and Related Quantities in Exponential Families

Entropy, 2021
Within exponential families, which may consist of multi-parameter and multivariate distributions, a variety of divergence measures, such as the Kullback–Leibler divergence, the Cressie–Read divergence, the Rényi divergence, and the Hellinger metric, can ...
Stefan Bedbur, Udo Kamps
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On two Kuznetsov’s conjectures

Examples and Counterexamples, 2023
We provide a proof and a counterexample to two conjectures made by N. Kuznetsov.
Florian Oschmann
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An Analysis of the New Reliability Model Based on Bathtub-Shaped Failure Rate Distribution with Application to Failure Data

Mathematics, 2023
The reliability of software has a tremendous influence on the reliability of systems. Software dependability models are frequently utilized to statistically analyze the reliability of software.
Tabassum Naz Sindhu, Sadia Anwar, Marwa K. H. Hassan, Showkat Ahmad Lone, Tahani A. Abushal, Anum Shafiq   +5 more
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Some mean value theorems as consequences of the Darboux property [PDF]

Mathematica Bohemica, 2017
The aim of the paper is to present some mean value theorems obtained as consequences of the intermediate value property. First, we will prove that any nonextremum value of a Darboux function can be represented as an arithmetic, geometric or harmonic mean
Dan Ştefan Marinescu, Mihai Monea
doaj   +1 more source

A Novel Software Reliability Growth Model Based on Generalized Imperfect Debugging NHPP Framework

IEEE Access, 2023
Non-Homogeneous Poisson Process (NHPP) is a standard framework in the field of software reliability analysis. The core of NHPP consists in determining the Mean Value Function (MVF) of cumulative error number at a specific time slot.
Hang Luo, Lijia Xu, Liang He, Landu Jiang, Ting Long   +4 more
doaj   +1 more source

On distribution of the number of semisimple rings of order at most x in an arithmetic progression [PDF]

Notes on Number Theory and Discrete Mathematics, 2023
Let ℓ and q denote relatively prime positive integers. In this article, we derive the asymptotic formula for the summation Σ_{n≤x, n≡ℓ (mod q)} S(n), where S(n) denotes the number of non-isomorphic finite semisimple rings with n elements.
Thorranin Thansri, Teerapat Srichan, Pinthira Tangsupphathawat   +2 more
doaj   +1 more source

On a New Integral Inequality: Generalizations and Applications

Axioms, 2022
In this paper, we present some generalizations and improvements of a new integral inequality from the 29th IMC in 2022. Some applications of our new results are also provided.
Huaping Huang, Wei-Shih Du
doaj   +1 more source

Symmetric partially Darboux functions and multiple points mean value results [PDF]

Mathematica Bohemica
We consider mean value results for symmetric multivariable functions whose partial functions satisfy the intermediate value property.
Viorel Vîjîitu
doaj   +1 more source

Some Remarks on Harmonic Functions in Minkowski Spaces

Mathematics, 2019
We prove that in Minkowski spaces, a harmonic function does not necessarily satisfy the mean value formula. Conversely, we also show that a function satisfying the mean value formula is not necessarily a harmonic function.
Songting Yin
doaj   +1 more source