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Functional means and harmonic functional means [PDF]
Bulletin of the Australian Mathematical Society, 1998 For a continuous function f(t) on (0, ∞) which is strictly monotone and a probability measure μ on [0, 1] we introduce the functional mean and the harmonic functional mean of x > 0 and y > 0 with respect to μ bywhich gives a unified approach to various famous means.Moreover, functional means and harmonic means in n variables are also given and ...
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, 2014 Citation: 'harmonic mean' in the IUPAC Compendium of Chemical Terminology, 3rd ed.; International Union of Pure and Applied Chemistry; 2006. Online version 3.0.1, 2019. 10.1351/goldbook.H02745 • License: The IUPAC Gold Book is licensed under Creative Commons Attribution-ShareAlike CC BY-SA 4.0 International for individual terms. Requests for commercial
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Generalized $1$-harmonic Equation and The Inverse Mean Curvature Flow
, 2010 We introduce and study generalized $1$-harmonic equations (1.1). Using some ideas and techniques in studying $1$-harmonic functions from [W1] (2007), and in studying nonhomogeneous $1$-harmonic functions on a cocompact set from [W2, (9.1)] (2008), we ...
Ai-Nung Wang +20 more
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Optimal inequalities related to the logarithmic, identric, arithmetic and harmonic means
Journal of Numerical Analysis and Approximation Theory, 2010 The logarithmic mean \(L(a,b)\), identric mean \(I(a,b)\), arithmeticmean \(A(a,b)\) and harmonic mean \(H(a,b)\) of two positive real values \(a\) and \(b\) are defined by\begin{align*}\label{main}&L(a,b)=\begin{cases}\tfrac{b-a}{\log b-\log a},& a\neq ...
Wei-feng Xia, Chu Yu-Ming
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Revista Brasileira de Zootecnia, 2009 Objetivou-se com este estudo comparar a seleção com base no ganho médio diário de peso na pré-desmama (GMD) e no número de dias para ganhar 160 kg nessa fase (D160), com e sem correção para efeitos de grupos de contemporâneos (GC), em bovinos da raça ...
Aila Loise Ribeiro Tanaka +3 more
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Optimal bounds for Seiffert-like elliptic integral mean by harmonic, geometric, and arithmetic means
Journal of Inequalities and Applications, 2022 In this article, we present the optimal bounds for a special elliptic integral mean in terms of the harmonic combinations of harmonic, geometric, and arithmetic means.
Fan Zhang, Weimao Qian, Hui Zuo Xu
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Harmonic Mean and Contra-Harmonic Mean Derivative-Based Closed Newton-Cotes Quadrature
Integrated Journal for Research in Arts and Humanities, 2022 In this paper, the Harmonic mean and Contra-harmonic mean of two endpoints [a,b] are applied at the derivative of the error term in the existing CNC formulas. This modified error term is included as an additional function to the existing formula. The new error terms are derived using the method of precision for the proposed formulas.
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Harmonic means of Wishart random matrices [PDF]
Random Matrices: Theory and Applications, 2020 We use free probability to compute the limiting spectral properties of the harmonic mean of [Formula: see text] i.i.d. Wishart random matrices [Formula: see text] whose limiting aspect ratio is [Formula: see text] when [Formula: see text]. We demonstrate an interesting phenomenon where the harmonic mean [Formula: see text] of the [Formula: see text ...
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Neuroblastoma is the most common extracranial solid tumor in early childhood. Its clinical behavior is highly variable, ranging from spontaneous regression to fatal outcome despite intensive treatment. The International Society of Pediatric Oncology Europe Neuroblastoma Group (SIOPEN) Radiology and Nuclear Medicine Specialty Committees ...
Annemieke Littooij +11 more
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The F-measure for Research Priority
Journal of Data and Information Science, 2018 In this contribution we continue our investigations related to the activity index (AI) and its formal analogs. We try to replace the AI by an indicator which is better suited for policy applications.
Rousseau Ronald
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