Results 31 to 40 of about 227,128 (319)

Exact Optimization via Sums of Nonnegative Circuits and Arithmetic-geometric-mean-exponentials

open access: yesInternational Symposium on Symbolic and Algebraic Computation, 2019
We provide two hybrid numeric-symbolic optimization algorithms, computing exact sums of nonnegative circuits (SONC) and sums of arithmetic-geometric-exponentials (SAGE) decompositions. Moreover, we provide a hybrid numeric-symbolic decision algorithm for
Victor Magron, Henning Seidler, T. Wolff
semanticscholar   +1 more source

Sharp bounds for a special quasi-arithmetic mean in terms of arithmetic and geometric means with two parameters

open access: yesJournal of Inequalities and Applications, 2017
In the article, we present the best possible parameters λ = λ ( p ) $\lambda=\lambda (p)$ and μ = μ ( p ) $\mu=\mu(p)$ on the interval [ 0 , 1 / 2 ] $[0, 1/2]$ such that the double inequality G p [ λ a + ( 1 − λ ) b , λ b + ( 1 − λ ) a ] A 1 − p ( a , b )
Wei-Mao Qian, Yu-Ming Chu
doaj   +1 more source

A Gauss type functional equation

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
Gauss' functional equation (used in the study of the arithmetic-geometric mean) is generalized by replacing the arithmetic mean and the geometric mean by two arbitrary means.
Silvia Toader   +2 more
doaj   +1 more source

The arithmetic mean of what? A Cautionary Tale about the Use of the Geometric Mean as a Measure of Fitness

open access: yesBiology & Philosophy, 2022
Showing that the arithmetic mean number of offspring for a trait type often fails to be a predictive measure of fitness was a welcome correction to the philosophical literature on fitness.
P. Takács, Pierrick Bourrat
semanticscholar   +1 more source

On a result of Cartwright and Field

open access: yesJournal of Inequalities and Applications, 2018
Let Mn,r=(∑i=1nqixir)1r $M_{n,r}=(\sum_{i=1}^{n}q_{i}x_{i}^{r})^{\frac{1}{r}}$, r≠0 $r\neq 0$, and Mn,0=limr→0Mn,r $M_{n,0}= \lim_{r \rightarrow 0}M_{n,r}$ be the weighted power means of n non-negative numbers xi $x_{i}$, 1≤i≤n $1 \leq i \leq n$, with qi>
Peng Gao
doaj   +1 more source

Notes on matrix arithmetic–geometric mean inequalities

open access: yesLinear Algebra and its Applications, 2000
The authors prove that a unitarily invariant norm of 4AB does not exceed that of \((A+B)^2\), for positive semi-definite matrices \(A\), \(B\). Connections with some other matrix arithmetic-geometric mean inequalities and trace inequalities are discussed.
Bhatia, Rajendra, Kittaneh, Fuad
openaire   +1 more source

EXTENSION OF THE REFINED GIBBS INEQUALITY

open access: yesПроблемы анализа, 2017
In this note, we give an extension of the refined Gibbs' inequality containing arithmetic and geometric means. As an application, we obtain converse and refinement of the arithmetic-geometric mean inequality.
Vandanjav Adiyasuren, Tserendorj Batbold
doaj   +1 more source

Comments on the calculation of the specific growth rate in experiments with untagged individuals

open access: yesScientia Marina, 2015
The specific growth rate, G, is widely used in articles dealing with the growth of aquatic organisms under experimental conditions. When individuals are untagged, the arithmetic mean of G for a group of animals must be calculated from weight geometric ...
Lorenzo Márquez   +5 more
doaj   +1 more source

Studies on the Moisture Dependent Physical Properties of Cowpea

open access: yesJournal of Engineering, 2023
Cowpea is a very important legume in Nigeria that is being utilized to Substitute high-cost animal protein for low-income people. The knowledge of some physical properties of various moisture contents is of utmost importance in the design of its ...
Abubakar A. J.   +3 more
doaj   +1 more source

The matrix arithmetic–geometric mean inequality revisited

open access: yesLinear Algebra and its Applications, 2008
The authors survey the developments of a matrix version of the arithmetic-geometric mean inequality, and discuss other closely related matters. The article can also serve as introduction to the basic ideas and typical problems of the flourishing subject of matrix inequalities.
Bhatia, Rajendra, Kittaneh, Fuad
openaire   +1 more source

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