Results 31 to 40 of about 227,128 (319)
Exact Optimization via Sums of Nonnegative Circuits and Arithmetic-geometric-mean-exponentials
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
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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
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A Gauss type functional equation
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
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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
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On a result of Cartwright and Field
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
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Notes on matrix arithmetic–geometric mean inequalities
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
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EXTENSION OF THE REFINED GIBBS INEQUALITY
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
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Comments on the calculation of the specific growth rate in experiments with untagged individuals
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
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Studies on the Moisture Dependent Physical Properties of Cowpea
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
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The matrix arithmetic–geometric mean inequality revisited
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
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