Results 1 to 10 of about 2,683,293 (266)
Mean value theorem for holomorphic functions
Electronic Journal of Differential Equations, 2012 This article presents a generalization of Myers' theorem and when the boundary assumption f'(a)=f'(b) is removed, and to prove this result for holomorphic functions of one complex variable.
Devrim Cakmak, Aydin Tiryaki
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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
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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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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 +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
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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 +4 more
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Mean values of multiplicative functions [PDF]
Periodica Mathematica Hungarica, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Montgomery, Hugh L., Vaughan, R. C.
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On the mean values of an analytic function. [PDF]
Annales Polonici Mathematici, 1992 Sei \(f(z)\) holomorph in \(| z|
Srivastava, G. S., Rani, Sunita
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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 +2 more
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