Tools
Sorted by:
Try your query at:
 |
 |
 |
 |
 |
 |
Results 1 - 10
of
3,903
Γ-convergence of power-law functionals with variable exponents
"... Abstract. Γ-convergence results for power-law functionals with variable exponents are obtained. The main motivation comes from the study of (first-failure) dielectric breakdown. Some connections with the generalization of the ∞-Laplace equation to the variable exponent setting are also explored. 200 ..."
Abstract
- Add to MetaCart
Abstract. Γ-convergence results for power-law functionals with variable exponents are obtained. The main motivation comes from the study of (first-failure) dielectric breakdown. Some connections with the generalization of the ∞-Laplace equation to the variable exponent setting are also explored
Heavy-Tailed Distributions Generated by Randomly Sampled Gaussian, Exponential and Power-Law Functions
, 2014
"... A simple stochastic mechanism that produces exact and approximate power-law distributions is presented. The model considers radially symmetric Gaussian, exponential and power-law func-tions in n = 1, 2, 3 dimensions. Randomly sampling these functions with a radially uniform sam-pling scheme produces ..."
Abstract
- Add to MetaCart
A simple stochastic mechanism that produces exact and approximate power-law distributions is presented. The model considers radially symmetric Gaussian, exponential and power-law func-tions in n = 1, 2, 3 dimensions. Randomly sampling these functions with a radially uniform sam-pling scheme
Auxiliary Sections> Integral Transforms> Tables of Fourier Cosine Transforms> Fourier Cosine Transforms: Expressions with Power-Law Functions Fourier Cosine Transforms: Expressions with Power-Law 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) ..."
Abstract
- Add to MetaCart
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 multi-power law functions: an application in the econophysics framework. ..."
Abstract
- Add to MetaCart
A mechanism to derive multi-power law functions: an application in the econophysics framework.
1 2
, 2007
"... An analytical solution for non-Darcian flow in a confined aquifer using the power law function ..."
Abstract
- Add to MetaCart
An analytical solution for non-Darcian flow in a confined aquifer using the power law function
Power-Law Shot Noise
, 1990
"... We explore the behavior of power-law shot noise, for which the associated impulse response functions assume a decaying power-law form. We obtain expressions for the moments, moment generating functions, amplitude probability density functions, autocorrelation functions, and power spectral densities ..."
Abstract
-
Cited by 64 (6 self)
- Add to MetaCart
We explore the behavior of power-law shot noise, for which the associated impulse response functions assume a decaying power-law form. We obtain expressions for the moments, moment generating functions, amplitude probability density functions, autocorrelation functions, and power spectral densities
Power-law tailed spectra from equilibrium
"... We propose that power-law tailed hadron spectra may be viewed as stemming from a matter in an unconventional equilibrium state typical for non-extensive thermodynamics. A non-extensive Boltzmann equation, which is able to form such spectra as a stationary solution, is utilized as a rough model of qu ..."
Abstract
- Add to MetaCart
equilibrium in an otherwise exploding fireball [2,3]. Experimental particle spectra are, however, not purely exponential: both exponential and power-law functions have been fitted to pion, kaon and antiproton spectra. Although the traditional ap-proach explains the power-law tail at very high pT values by p
Power-law scaling in dimension-to-biomass 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 power-law function of school bi ..."
Abstract
-
Cited by 3 (0 self)
- Add to MetaCart
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 power-law function of school
The power-law 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 ..."
Abstract
-
Cited by 13 (0 self)
- Add to MetaCart
. Thus, the power law’s ubiquity may reflect the pervasiveness of slope variability across component functions. Moreover, power-curve 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 power-law and the logarithmic potentials
, 2008
"... In this study, we show that the energy eigenvalues and the eigenfunctions of the Schrodinger equation for the power-law 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 ..."
Abstract
- Add to MetaCart
In this study, we show that the energy eigenvalues and the eigenfunctions of the Schrodinger equation for the power-law 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
of
3,903
