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GMO: geometric mean optimizer for solving engineering problems

Soft Computing - A Fusion of Foundations, Methodologies and Applications, 2023
F. Rezaei   +3 more
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The Geometrical Meaning of Time

Foundations of Physics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The geometric mean priciple revisited

Journal of Banking & Finance, 1978
Abstract The paper provides expositions of the two fallacies involved in the advocacy of the geometric-mean principle for long-run portfolio selection.
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Geometric Mean Technique

1996
The geometric mean is another way to solve pairwise comparison matrices. Barzilai, et al. [1987] identified three desired properties of a solution technique: 1. For perfectly consistent matrices, the weights obtained by standardizing any column should be obtained (the average of the weights). The estimator w i = 1/[(II j=1,n a ij )1/n ] (where a
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More Meaning From the Geometric Mean

The Mathematics Teacher, 2003
We are all familiar with the average, or arithmetic mean, of two numbers. Less frequently used is the notion of the geometric mean. In “Geometric Meaning in the Geometric Mean Means More Meaningful Mathematics” in the March 2001 issue of the Mathematics Teacher, Matt E.
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Sharing Teaching Ideas: Geometric Meaning in the Geometric Mean Means More Meaningful Mathematics

The Mathematics Teacher, 2001
Teachers can put geometric meaning back into the geometric mean. A first- or second-year algebra student is typically taught the geometric mean in one of two ways: using the ratio-and-proportion form, where, given the ...
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What does geometric mean, mean geometrically? Assessing the utility of geometric mean and other size variables in studies of skull allometry

American Journal of Physical Anthropology, 2007
AbstractThis study investigated the effects of using different size variables for interpretations of relative orbit size and mandibular robusticity. Thirty‐three skull measurements taken on 385 platyrrhines representing 12 of 16 New World monkey genera (in addition to body mass and total body length) were used singly and in combinations (by taking the ...
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The Arithmetic-Geometric Mean of Gauss

1997
This paper is an expository account of the arithmetic-geometric mean M(a,b) of two numbers a,b. For \(a,b>0\) define \(a_ 0=a\), \(b_ 0=b\) and \(a_{n+1}=(a_ n+b_ n)/2,\quad b_{n+1}=(a_ nb_ n)^{1/2},\quad n=0,1,2,\ldots.\) It follows by elementary methods that the two sequences \(a_ n\), \(b_ n\) have a common limit M(a,b).
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