Velocity and curvature of human movements are linked by a proportionality relationship (power-law) whose origin has been attributed either to functional properties of cortical areas or to peripheral constraints. 3D movements made by apraxic patients show a time-shift between velocity and curvature which has been considered as a disruption of the power-law, supporting the central hypothesis. We ...

This short communication uses a simple experiment to show that fitting to a power law distribution by using graphical methods based on linear fit on the log-log scale is biased and inaccurate. It shows that using maximum likelihood estimation (MLE) is far more robust. Finally, it presents a new table for performing the Kolmogorov-Smirnof test for goodness-of-fit tailored to power-law distributi...

Power-law distributions have been a paradigm of complex systems for several decades. But it has been only recently that attention has been devoted to the proper fitting and goodness-of-fit testing of these distributions; in particular, Clauset et al.’s method is widely cited in this regard [1]. In the first part of the talk we present evidence that this method fails in some concrete examples of...

the galerkin finite element method is used to solve the three dimensional continuity, momentum and energy equations for laminar newtonian and power-law model non-newtonian flow through horizontal circular tube. the governing equations are non-dimensionalized with respect to specific variables and converted into algebraic equations using appropriate elements. to accelerate convergence a combinat...

Simulated dark matter profiles are often modelled as a ‘NFW’ density profile rather than a single power law. Recently, attention has turned to the rather rigorous power-law behaviour exhibited by the ‘pseudo phase-space density’ of the dark matter halo, which is defined dimensionally in terms of the local density and velocity dispersion of the dark matter particles. The non-power-law behaviour ...

We summarize a book under publication with the above title written by the three present authors, on the theory of Zipf’s law, and more generally of power laws, driven by the mechanism of proportional growth. The preprint is available upon request from the authors. For clarity, consistence of language and conciseness, we discuss the origin and conditions of the validity of Zipf’s law using the t...

  Background: The rule "anyone who has the power over things" is one of the legal rules that the jurists of Islam have been referring to for more than a thousand years and it is very useful in trials and even administrative authorities. It is also one of the most important and practical rules in civil and jurisprudential law because it is closely related to confession, which is one of the main...

  This expository article shows how the maximum likelihood estimation method and the Newton-Raphson algorithm can be used to estimate the parameters of the power-law Poisson process model used to analyze data from repairable systems .