The multiresolution time-domain (MRTD) algorithm is applied to the problem of general two-dimensional electromagnetic scattering. A Haar wavelet expansion is utilized. A parallel between Haar MRTD and the classic Yee finite difference time-domain (FDTD) algorithm is discussed, and results of simulations on canonical targets are shown for comparison. We focus on the incident-field implementation...

An efficient computational method is presented for state space analysis of singular systems via Haar wavelets. Singular systems are those in which dynamics are governed by a combination of algebraic and differential equations. The corresponding differential-algebraic matrix equation is converted to a generalized Sylvester matrix equation by using Haar wavelet basis. First, an explicit expressio...

We find a combinatorial formula for the Haar functional of the orthogonal and unitary quantum groups. As an application, we consider diagonal coefficients of the fundamental representation, and we investigate their spectral measures. Introduction A basic question in functional analysis is to find axioms for quantum groups, which ensure the existence of a Haar measure. In the compact case, this ...

Drie belangrike konsepte word bespreek, naamlik die rol van die eenheidsuster, die gehalte van sorg en verantwoordbaarheid. ’n Model word voorsien waarin die rolle van die eenheidsuster uitgebeeld word — die fokus van haar werk (die pasiënt, span, agentskap, genteenskap en die professie) word aangetoon sowel as die inhoudsgebiede (kliniese sorg, bestuur, onderwys en beleidsbepaling). Die doelwi...