A quantitative method is presented for creating a large number of classes of binary (256) and ternary (7.62 x 10(12)) textures. The binary textures are presented as black and white (contrasts -1 and 1). The ternary textures have three levels: black, white and the mean luminance gray (contrasts -1, 0 and 1). The ternary patterns in particular display a wide variety of properties, including depth...

We develop a method for systematically constructing Lagrangian functions for dissipative mechanical, electrical, and electromechanical systems. We derive the equations of motion for some typical electromechanical systems using deterministic principles that are strictly variational. We do not use any ad hoc features that are added on after the analysis has been completed, such as the Rayleigh di...

Behaviour of expert and novice database users solving the same task was recorded. Several successful strategies were identified. Since there are more users than strategies, some users applied the same strategy. The aim was to develop methods grouping users with common strategy. Following three approaches (correlation, intersection, and exclusion), a metric among task solving behavioural sequenc...

This paper introduces broad concepts of vulnerability, food security and famine. It argues that the concepts and theories driving development and implementation of vulnerability assessment tools are related to their utility. The review concludes that socio-geographic scale is a key issue, and challenge. It analyses three vulnerability assessment (VA) methods, using Ethiopia as a case study. Fac...

The way we were thinking about this was to draw circles around the points under consideration, and noting that we expect a great many points to lie on the boundaries of other circles. But clearly, in that setting, we are not using all the information we have; in particular, we are never accounting for the fact that some of the circles may have equal radii, which would also decrease the value of...

This paper introduces a method of parameter estimation working on errors-in-variables polynomial non-linear models in which all measurements are corrupted by noise. The first step is to develop the linear regression models which are equivalent to polynomial non-linear systems. A main idea is to extend the parameter vector by even-order components of noise and to augment the regression vector by...

In this article, a formulation of a point-collocation method in which the unknown function is approximated using global expansion in tensor product Bernstein polynomial basis is presented. Bernstein polynomials used in this study are defined over general interval [a, b]. Method incorporates several ideas that enable higher numerical efficiency compared to Bernstein polynomial methods that have ...

This work considers high order discretizations for the intrusive stochastic Galerkin and polynomial moment method. Applications to hyperbolic systems result in solutions that typically involve a large number of wave interactions must be resolved numerically. In reduce numerical oscillations, analytical entropy indicators are used perform CWENO-type reconstructions characteristic variables, when...

Matrix techniques are applied to the mode analysis of laser resonators having spherical mirrors and Gaussian profiles of the mirror reflectivity. These same analytical methods provide a useful approximation to the mode and loss characteristics of conventional resonators having an abrupt discontinuity of the reflectivity. Mode selection in apertured waveguides and resonators is also discussed.