The existence of black holes is a central prediction general relativity and thus serves as basic consistency test for modified theories gravity. In spherical symmetry, only two classes dynamic solutions are compatible with the formation an apparent horizon in finite time distant observer. Moreover, follows unique scenario involving both types solutions. To be their existence, any self-consisten...

This article discusses a method that can aid in diagnosing root causes of product and process variability in complex manufacturing processes, when large amounts of multivariate in-process measurement data are available. A linear structured model, similar to the standard factor analysis model, is used to generically represent the variation patterns that result from the root causes. Blind source ...

This short article is a brief account of the usage of fourth-order curvature flow in surface modelling.

We study travelling wave solutions for a class of fourth order parabolic equations. Travelling wave fronts of the form u(x, t) = U(x + ct), connecting homogeneous states, are proven to exist in various cases: connections between two stable states, as well as connections between an unstable and a stable state, are considered.

The approach combines second and fourth order statistics to perform BSS of instantaneous mixtures. It applies for any number of receivers if they are as many as sources. It is a batch algorithm that uses non-Gaussianity and stationarity of source signals. It is linear algebra based direct method, reliable and robust, though large dimensions of sources may slow down the computation significantly...