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Γconvergence of powerlaw functionals with variable exponents
"... Abstract. Γconvergence results for powerlaw functionals with variable exponents are obtained. The main motivation comes from the study of (firstfailure) dielectric breakdown. Some connections with the generalization of the ∞Laplace equation to the variable exponent setting are also explored. 200 ..."
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Abstract. Γconvergence results for powerlaw functionals with variable exponents are obtained. The main motivation comes from the study of (firstfailure) dielectric breakdown. Some connections with the generalization of the ∞Laplace equation to the variable exponent setting are also explored
HeavyTailed Distributions Generated by Randomly Sampled Gaussian, Exponential and PowerLaw Functions
, 2014
"... A simple stochastic mechanism that produces exact and approximate powerlaw distributions is presented. The model considers radially symmetric Gaussian, exponential and powerlaw functions in n = 1, 2, 3 dimensions. Randomly sampling these functions with a radially uniform sampling scheme produces ..."
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A simple stochastic mechanism that produces exact and approximate powerlaw distributions is presented. The model considers radially symmetric Gaussian, exponential and powerlaw functions in n = 1, 2, 3 dimensions. Randomly sampling these functions with a radially uniform sampling scheme
Auxiliary Sections> Integral Transforms> Tables of Fourier Cosine Transforms> Fourier Cosine Transforms: Expressions with PowerLaw Functions Fourier Cosine Transforms: Expressions with PowerLaw Functions No Original function, f(x) Cosine transform, ˇ f
"... 1 if 0 < x < a, 0 if a < x 1 a + x 1 a2, a> 0 + x2 1 u sin(au), a> 0 − sin(au) si(au) − cos(au) Ci(au) 1 a2, a> 0 − x2 a a2 a + (b + x) 2 a2 + (b − x) 2 b + x a2 b − x + (b + x) ..."
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1 if 0 < x < a, 0 if a < x 1 a + x 1 a2, a> 0 + x2 1 u sin(au), a> 0 − sin(au) si(au) − cos(au) Ci(au) 1 a2, a> 0 − x2 a a2 a + (b + x) 2 a2 + (b − x) 2 b + x a2 b − x + (b + x)
unknown title
, 2006
"... A mechanism to derive multipower law functions: an application in the econophysics framework. ..."
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A mechanism to derive multipower law functions: an application in the econophysics framework.
1 2
, 2007
"... An analytical solution for nonDarcian flow in a confined aquifer using the power law function ..."
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An analytical solution for nonDarcian flow in a confined aquifer using the power law function
PowerLaw Shot Noise
, 1990
"... We explore the behavior of powerlaw shot noise, for which the associated impulse response functions assume a decaying powerlaw form. We obtain expressions for the moments, moment generating functions, amplitude probability density functions, autocorrelation functions, and power spectral densities ..."
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Cited by 64 (6 self)
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We explore the behavior of powerlaw shot noise, for which the associated impulse response functions assume a decaying powerlaw form. We obtain expressions for the moments, moment generating functions, amplitude probability density functions, autocorrelation functions, and power spectral densities
Powerlaw tailed spectra from equilibrium
"... We propose that powerlaw tailed hadron spectra may be viewed as stemming from a matter in an unconventional equilibrium state typical for nonextensive thermodynamics. A nonextensive Boltzmann equation, which is able to form such spectra as a stationary solution, is utilized as a rough model of qu ..."
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equilibrium in an otherwise exploding fireball [2,3]. Experimental particle spectra are, however, not purely exponential: both exponential and powerlaw functions have been fitted to pion, kaon and antiproton spectra. Although the traditional approach explains the powerlaw tail at very high pT values by p
Powerlaw scaling in dimensiontobiomass relationship of fish schools
 Journal of Theoretical Biology
, 2005
"... Motivated by the finding that there is some biological universality in the relationship between school geometry and school biomass of various pelagic fishes in various conditions, I here establish a scaling law for school dimensions: the school diameter increases as a powerlaw function of school bi ..."
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Cited by 3 (0 self)
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Motivated by the finding that there is some biological universality in the relationship between school geometry and school biomass of various pelagic fishes in various conditions, I here establish a scaling law for school dimensions: the school diameter increases as a powerlaw function of school
The powerlaw as an emergent property
 Mem. Cognit
, 2001
"... Recent work has shown that the power function, a ubiquitous characteristic of learning, memory, and sensation, can emerge from the arithmetic averaging of exponential curves. In the present study, the forgetting process was simulated via computer to determine whether power curves can result from the ..."
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Cited by 13 (0 self)
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. Thus, the power law’s ubiquity may reflect the pervasiveness of slope variability across component functions. Moreover, powercurve emergence may constitute a methodological artifact, an explanatory construct, or both, depending on the locus of the effect. The power function is generally accepted
The powerlaw and the logarithmic potentials
, 2008
"... In this study, we show that the energy eigenvalues and the eigenfunctions of the Schrodinger equation for the powerlaw and the logarithmic potential can be easily obtained by using variation technique for special type wave functions. The results are in very good agreement with exact numerical resul ..."
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In this study, we show that the energy eigenvalues and the eigenfunctions of the Schrodinger equation for the powerlaw and the logarithmic potential can be easily obtained by using variation technique for special type wave functions. The results are in very good agreement with exact numerical
Results 1  10
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3,903