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Selection for folding stability predicts observed covariation between protein positions in the PDB

Saebi F, Minning J, Bastolla U.
europepmc   +1 more source

The logarithmic mean [PDF]

Resonance, 2008
The inequality between the arithmetic mean (AM) and geometric mean (GM) of two positive numbers is well known. This article introduces the logarithmic mean, shows how it leads to refinements of the AM-GM inequality. Some applications and properties of this mean are shown. Some other means and related inequalities are discussed.
Rajendra Bhatia, Bhatia Rajendra
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Logarithmic Mean of Multiple Accretive Matrices

Bulletin of the Iranian Mathematical Society, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Two optimal double inequalities between power mean and logarithmic mean

Computers and Mathematics With Applications, 2010
For p∈R the power mean Mp(a,b) of order p, the logarithmic mean L(a,b) and the arithmetic mean A(a,b) of two positive real values a and b are defined by Mp(a,b)={(ap+bp2)1p,p≠0,ab,p=0,L(a,b)={b−alogb−loga,a≠b,a,a=b and A(a,b)=a+b2, respectively.In this ...
Yu-Ming Chu, Wei-Feng Xia
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LOGARITHMIC CONVEXITY OF THE ONE-PARAMETER MEAN VALUES [PDF]

Taiwanese Journal of Mathematics, 2007
In this article, the logarithmic convexity of the one-parameter mean values J(r) and the monotonicity of the product J(r) J(-r) with r ∈ ℝ are presented.
Wing-Sum Cheung, Feng Qi
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A Note on the Logarithmic Mean

The American Mathematical Monthly, 2016
(2016). A Note on the Logarithmic Mean. The American Mathematical Monthly: Vol. 123, No. 1, pp. 112-112.
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On the logarithmic mean profile

Journal of Fluid Mechanics, 2009
Elements of the first-principles-based theory of Weiet al. (J. Fluid Mech., vol. 522, 2005, p. 303), Fifeet al. (Multiscale Model. Simul., vol. 4, 2005a, p. 936;J. Fluid Mech., vol. 532, 2005b, p. 165) and Fife, Klewicki & Wei (J. Discrete Continuous Dyn. Syst., vol. 24, 2009, p.
Klewicki, J., Fife, P., Wei, T.
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The Power Mean and the Logarithmic Mean

The American Mathematical Monthly, 1974
(1974). The Power Mean and the Logarithmic Mean. The American Mathematical Monthly: Vol. 81, No. 8, pp. 879-883.
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Complementaries of Greek Means with Respect to the Logarithmic Mean

2008 10th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2008
The mean N is the complementary of the mean M with respect to the mean P if P(M, N) = P. We study the complementaries of Greek means with respect to the logarithmic mean. We look after the complementary of a mean in some families of means. Most of the computations are performed with the symbolic capabilities of the Maple computer algebra system.
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