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Communications in Statistics - Theory and Methods, 2020
The sample geometric mean (SGM) introduced by Cauchy in 1821, is a measure of central tendency with many applications in the natural and social sciences including environmental monitoring, scientom...
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The sample geometric mean (SGM) introduced by Cauchy in 1821, is a measure of central tendency with many applications in the natural and social sciences including environmental monitoring, scientom...
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Geometric Mean for Subspace Selection
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2009Subspace selection approaches are powerful tools in pattern classification and data visualization. One of the most important subspace approaches is the linear dimensionality reduction step in the Fisher's linear discriminant analysis (FLDA), which has been successfully employed in many fields such as biometrics, bioinformatics, and multimedia ...
Dacheng Tao +3 more
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The Geometrical Meaning of Time
Foundations of Physics, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ACM SIGACT News, 1976
Given N points in K-space, the O(N 2 ) distances between them may be characterized by their minimum[1, 2], maximum [3], mean[4, 5, 6], or median [7]; since these problems are geometrical, it may be Interesting to consider the geometric mean - or, which is equivalent, the product - of the ...
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Given N points in K-space, the O(N 2 ) distances between them may be characterized by their minimum[1, 2], maximum [3], mean[4, 5, 6], or median [7]; since these problems are geometrical, it may be Interesting to consider the geometric mean - or, which is equivalent, the product - of the ...
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Canadian Mathematical Bulletin, 1989
AbstractThe aim of this paper is two-fold: First we prove the Radotype inequality Here denote the weighted geometric means of with where the pi are positive weights. Thereafter we investigate under which conditions the sequence is convergent as n → ∞
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AbstractThe aim of this paper is two-fold: First we prove the Radotype inequality Here denote the weighted geometric means of with where the pi are positive weights. Thereafter we investigate under which conditions the sequence is convergent as n → ∞
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The Arithmetic-Geometric Mean of Gauss
1997This 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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The importance of the geometric mean MIC
Journal of Antimicrobial Chemotherapy, 1990Demonstration selon laquelle les concentrations minimales inhibitrices 50, 75 et 90 sont des parametres faiblement discriminatifs par rapport a la moyenne geometrique, dans les tests de sensibilite in vitro.
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The geometric mean priciple revisited
Journal of Banking & Finance, 1978Abstract 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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