Introduction: The conversion matrix [1–3], connecting the optical intensity and phase variations at the output of an optical device with their corresponding input values, has been found useful in analysing laser and amplifier noise in analogue optical links and for computing the RF transfer function of various hybrid RF=optical systems. Previous works assumed the optical devices to be character...

A new image segmentation method based on the active contour is presented in this paper. If we define a shape space as a set of all possible variations from an initial curve, a shape matrix represents variations of an initial curve with a few parameters and spans a subspace of the shape space. If we assume that the universal shape space is linear, it can be decomposed into the column space and t...

The equations of motion for pressure and displacement fields in a waveguide have been used to derive an energy-conserving, one-way coupled mode propagation model. This model has three important properties: First, since it is based on the equations of motion, rather than the wave equation, instead of two coupling matrices, it only contains one coupling matrix. Second, the resulting coupling matr...

6.1 Literature review matrix Taha E. et al (2015) evaluated Diclofenac Sodium (DS) matrix tablets prepared by direct compression method under different compression forces using ethyl cellulose as matrix forming material. The produced tablets were characterized for hardness, friability, drug content, weight variations and in vitro drug release. Incompatibility study carried out using DSC FT-IR s...

We consider a variational problem for the two-dimensional (2D) Heisenberg and XY models, using a trial state which is constructed as a 2D product of local weights. Variational energy is calculated by use of the the corner transfer matrix renormalization group (CTMRG) method, and its upper bound is surveyed. The variational approach is a way of applying the density matrix renormalization group m...

Systematic evaluation of the influence of radiation on the electrical response of hybrid nanocomposites obtained by adding multi-walled carbon nanotubes into poly(3,4-ethylenedioxythiophene) and poly(styrenesulfonate) host matrix is presented. Variations of resistance and conductivity of nanocomposites depending on the volume fraction of nanotubes in the matrix, ionizing radiation dosage, and t...

The Atiyah-Drinfeld-Hitchin-Manin matrix corresponding to a tetrahedrally symmetric 3-instanton is calculated. Some small variations of the matrix correspond to vibrations of the instanton-generated 3-Skyrmion. These vibrations are decomposed under tetrahedral symmetry and this decomposition is compared to previous knowledge of the 3-Skyrmion vibration spectrum. PACS: 12.39.Dc; 11.27.+d.

This paper considers the robust stability of time delay systems by means of quadratic separation theory. Using this formalism both delay independent and delay dependent criteria are provided. In the nominal case, without uncertainties, our result is shown to be equivalent to other LMI-based results from the literature. Finally, an academic example is provided to show the effectiveness of this r...