Allometric growth is found in many tagging systems online. That is, the number of new tags (T ) is a power law function of the active population (P ), or T ∼ P γ (γ 6= 1). According to previous studies, it is the heterogeneity in individual tagging behavior that gives rise to allometric growth. These studies consider the power-law distribution model with an exponent β, regarding 1/β as an index...

SmartRoadSense is a crowdsensing project aimed at monitoring the conditions of the road surface. Using the sensors of a smartphone, SmartRoadSense monitors the vertical accelerations inside a vehicle traveling the road and extracts a roughness index conveying information about the road conditions. The roughness index and the smartphone GPS data are periodically sent to a central server where th...

It is well known that the late-time behaviour of gravitational collapse is dominated by an inverse power-law decaying tail. We calculate higher-order corrections to this power-law behaviour in a spherically symmetric gravitational collapse. The dominant “contamination” is shown to die off at late times asM2t−4 ln(t/M). This decay rate is much slower than has been considered so far. It implies, ...

Johansen and Sornette proposes that the crash has fundamentally an endogenous origin and exogenous shocks only serve as triggering factors. This endogenous force is shown in price as power law log-periodicity (PLLP) signature prior to a crash. We estimate the highly nonlinear model developed by them using a hybrid approach which combines scatter search, genetic adaptor and tabu search. The mode...

The present paper provides a semi-analytical solution to obtain the displacements and stresses in a functionally graded material (FGM) rotating thick cylindrical shell with clamped ends under non-uniform pressure. Material properties of cylinder are assumed to change along the axial direction according to a power law form. It is also assumed that the Poisson’s ratio is constant. Given the exist...

We investigate the constraint on the abundance of primordial black holes (PBHs) and the spectral index n of primeval density perturbations given by the ionizing photon background at the epoch of reionization. Within the standard inflationary cosmogony, we show that the spectral index n of the power-law power spectrum of primeval density perturbations should be n <1.27. Since the universe is sti...

Aims. Power-law cosmologies, in which the cosmological scale factor evolves as a power law in the age, a ∝ t with α >∼ 1, regardless of the matter content or cosmological epoch, is comfortably concordant with a host of cosmological observations. Methods. In this article, we use recent measurements of the X-ray gas mass fractions in clusters of galaxies to constrain the α parameter with curvatur...

We report the results of our search for power-law electrical signals in the human brain, using subdural electrocorticographic recordings from the surface of the cortex. The power spectral density (PSD) of these signals has the power-law form P (f) ∼ f from 80 to 500 Hz. This scaling index χ = 4.0 ± 0.1 is universal, across subjects, area in the cortex, and local neural activity levels. The shap...

Dynamical systems in nature exhibit selfsimilar fractal fluctuations and the corresponding power spectra follow inverse power law form signifying long-range space-time correlations identified as self-organized criticality. The physics of selforganized criticality is not yet identified. The Gaussian probability distribution used widely for analysis and description of large data sets underestimat...