Results 1  10
of
831,195
Mathematical Derivation Of The Power Law Describing Polymer Flow Through A Thin Slab
"... . We consider the polymer flow through a slab of thickness ffl. The flow is described by 3D incompressible NavierStokes system with a nonlinear viscosity, being a power of a norm of the shear rate (power law). We consider the limit when ffl ! 0 and prove that the limit averaged velocity, averaged o ..."
Abstract

Cited by 5 (2 self)
 Add to MetaCart
. We consider the polymer flow through a slab of thickness ffl. The flow is described by 3D incompressible NavierStokes system with a nonlinear viscosity, being a power of a norm of the shear rate (power law). We consider the limit when ffl ! 0 and prove that the limit averaged velocity, averaged
On PowerLaw Relationships of the Internet Topology
 IN SIGCOMM
, 1999
"... Despite the apparent randomness of the Internet, we discover some surprisingly simple powerlaws of the Internet topology. These powerlaws hold for three snapshots of the Internet, between November 1997 and December 1998, despite a 45% growth of its size during that period. We show that our powerl ..."
Abstract

Cited by 1666 (71 self)
 Add to MetaCart
fit the real data very well resulting in correlation coefficients of 96% or higher. Our observations provide a novel perspective of the structure of the Internet. The powerlaws describe concisely skewed distributions of graph properties such as the node outdegree. In addition, these powerlaws can
Powerlaw distributions in empirical data
 ISSN 00361445. doi: 10.1137/ 070710111. URL http://dx.doi.org/10.1137/070710111
, 2009
"... Powerlaw distributions occur in many situations of scientific interest and have significant consequences for our understanding of natural and manmade phenomena. Unfortunately, the empirical detection and characterization of power laws is made difficult by the large fluctuations that occur in the t ..."
Abstract

Cited by 589 (7 self)
 Add to MetaCart
in the tail of the distribution. In particular, standard methods such as leastsquares fitting are known to produce systematically biased estimates of parameters for powerlaw distributions and should not be used in most circumstances. Here we describe statistical techniques for making accurate parameter
Powerlaw hereditariness of hierarchical fractal bones
"... SUMMARY In this paper the authors introduce a hierarchic fractal model to describe bone hereditariness. Indeed, experimental data of stress relaxation or creep functions obtained by compressive/tensile tests have been proved to be fit by powerlaw with real exponent 0 1. The rheological behavio ..."
Abstract
 Add to MetaCart
SUMMARY In this paper the authors introduce a hierarchic fractal model to describe bone hereditariness. Indeed, experimental data of stress relaxation or creep functions obtained by compressive/tensile tests have been proved to be fit by powerlaw with real exponent 0 1. The rheological
Near Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?
, 2004
"... Suppose we are given a vector f in RN. How many linear measurements do we need to make about f to be able to recover f to within precision ɛ in the Euclidean (ℓ2) metric? Or more exactly, suppose we are interested in a class F of such objects— discrete digital signals, images, etc; how many linear m ..."
Abstract

Cited by 1513 (20 self)
 Add to MetaCart
measurements do we need to recover objects from this class to within accuracy ɛ? This paper shows that if the objects of interest are sparse or compressible in the sense that the reordered entries of a signal f ∈ F decay like a powerlaw (or if the coefficient sequence of f in a fixed basis decays like a powerlaw
Powerlaw
"... modeling based on leastsquares criteria: consequences for system analysis and simulation ..."
Abstract
 Add to MetaCart
modeling based on leastsquares criteria: consequences for system analysis and simulation
Results 1  10
of
831,195