Sensing electrodes arranged in or around a display can provide input function for interactive displays. Commercially this is interesting because the sensing electrodes and electronics can be made in the same manufacturing process as that of the display itself thus reducing cost. In engineering terms the electrodes measure capacitance changes resulting from the presence and movement of objects s...

A method for solving various half-space multigroup transport problems for the case of a general transfer matrix is explained. A non-linear integral equation for the emergent distribution of the albedo problem is derived. Then, by using the full-range completeness of the infinite medium eigenfunctions, the distribution inside the half-space is obtained from the emergent distribution. Finally, th...

The aim of the present paper is to investigate the half-spaces in the convexity structure of all quasiorders on a given set and to use them in an alternative approach to the dimension of partially ordered sets.

Abstract This paper is concerned to study temperature distribution, thermal stresses and displacement components for a magnetothermoelastic problem of a halfspace subjected to (i) moving heat source and (ii) moving load. Classical Dynamical Coupled, Lord-Shulman and Green Lindsay theories of thermoelasticity are used for mathematical analysis. It is found that the Lord-Shulman theory is more pr...

1550-7998=20 Radiative corrections in systems near imperfectly reflecting boundaries are investigated. As an example, the self-energy of an unbound electron close to a single surface is calculated at one-loop level. The surface is modeled by a nondispersive dielectric half-space of a constant refractive index n. In contrast to previous, perfectly reflecting models, the evanescent modes in the o...

The problem of fully coupled thermoelasticity in a composite half-space is considered where the composite has variations in its physical properties in one direction only. The resulting one dimensional problem thus depends on the so called microscale of the composite. Homogenization of the fully coupled theory provides the leading order system of coupled equations (independent of the microscale)...

We solve the Milne, constant-source and albedo problems for isotropic scattering in a two-dimensional “Flatland” half-space via the Wiener-Hopf method. The Flatland H-function is derived and benchmark values and some identities unique to Flatland are presented. A number of the derivations are supported by Monte Carlo simulation. 1. Intro The study of linear transport theory [1, 2] in lower-dime...

Data depth is an approach to statistical analysis based on the geometry of the data. Half-space depth has been studied most frequently by computational geometers. The half-space depth of a point x relative to a set of points S = {X1, ..., Xn} in R d is the minimum number of points of S lying in any closed half-space determined by a line through x [2, 11]. Depth contours, enclosing regions with ...

In this paper, we present improvements to half vector space light transport (HSLT) [KHD14], which make this approach more practical, robust for difficult input geometry, and faster. Our first contribution is the computation of half vector space ray differentials in a different domain than the original work. This enables a more uniform stratification over the image plane during Markov chain expl...