منابع مشابه
Natural logarithms
Marusic et al. (J. Fluid Mech., vol. 716, 2013, R3) show the first clear evidence of universal logarithmic scaling emerging naturally (and simultaneously) in the mean velocity and the intensity of the streamwise velocity fluctuations about that mean in canonical turbulent flows near walls. These observations represent a significant advance in understanding of the behaviour of wall turbulence at...
متن کاملStatistics Notes: Percentage differences, symmetry, and natural logarithms.
Despite its wide use in statistics, the logarithmic transformation can make non-statisticians uncomfortable. This is a shame because logarithms have very useful properties, including a secret not widely known even among statisticians. The two familiar forms of logarithm are common logs, to base 10, and natural logs, to base e. Here we focus on natural logs (or “ln” for short), which have the fo...
متن کاملConsiderations on Computing Real Logarithms of Matrices, Hamiltonian Logarithms, and Skew-symmetric Logarithms
In this work, the issue of computing a real logarithm of a real matrix is addressed. After a brief review of some known methods, more attention is paid to three methods: (i) Padé approximation techniques, (ii) Newton’s method, and (iii) a series expansion method. Newton’s method has not been previously treated in the literature; we address commutativity issues, and simplify the algorithmic form...
متن کاملQuenched chiral logarithms.
I develop a diagrammatic method for calculating chiral logarithms in the quenched approximation. While not rigorous, the method is based on physically reasonable assumptions, which can be tested by numerical simulations. The main results are that, at leading order in the chiral expansion, (a) there are no chiral logarithms in quenched fπ, for mu = md; (b) the chiral logarithms in BK and related...
متن کاملBeyond Leading Logarithms
The renormalization group evolution of ∆B = 2 transition operators is studied at leading order in heavy quark effective theory and at next-to-leading order in QCD. We calculate new contributions that were not taken into account in previous work and obtain the complete result to next-to-leading logarithmic accuracy. The various scheme and scale dependences and their cancellation in physical quan...
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ژورنال
عنوان ژورنال: Journal of Fluid Mechanics
سال: 2013
ISSN: 0022-1120,1469-7645
DOI: 10.1017/jfm.2012.608