Closed-form expressions are obtained for the generating function of close-packed dimers on a 2M × 2N simple quartic lattice embedded on a Möbius strip and a Klein bottle. Finite-size corrections are also analyzed and compared with those under cylindrical and free boundary conditions. Particularly, it is found that, for large lattices of the same size and with a square symmetry, the number of di...

Sensing of gases is a promising area for applications of photonic systems operating in the mid-infrared spectral range. We present an infrared evanescent-field absorption gas sensor based on a silicon strip waveguide, which was specifically designed for CO2 sensing. We discuss finite element simulations that were used to design the strip waveguide and furthermore present experimental data of qu...

Gold immunochromatographic strip assay is a rapid, simple, single-copy and on-site method. Quantitative Interpretation of the strip can provide more information than the traditional qualitative or semiquantitative strip assay. The paper aims to develop an image based assay method for quantitative determination of trace concentrations by gold immunochromatographic strip. The image of gold immuno...

We suggest an approach to grid optimization for a second order finite-difference scheme for elliptic equations. A model problem corresponding to the three-point finite-difference semidiscretization of the Laplace equation on a semi-infinite strip is considered. We relate the approximate boundary Neumann-to-Dirichlet map to a rational function and calculate steps of our finite-difference grid us...

A reusable enzyme strip for the determination of cholesterol was prepared by co-immobilizing cholesterol esterase (CEase), cholesterol oxidase (COD) and peroxidase (POD) onto alkylamine glass beads affixed on a plastic strip by a nonreactive fixative. The co-immobilized enzymes retained 71.42% of initial activity of free enzymes with a conjugation yield of 11.0 mg g beads and showed optimum act...

A two-component Coulomb gas confined by walls made of ideal dielectric material is considered. In two dimensions at the special inverse temperature β = 2, by using the Pfaffian method, the system is mapped onto a four-component Fermi field theory with specific boundary conditions. The exact solution is presented for a semi-infinite geometry of the dielectric wall (the density profiles, the corr...

in this article, we study the new streamline diffusion finite element for treating the linear second order hyperbolic initial-boundary value problem. we prove a posteriori $ l^2(l^2)$ and error estimates for this method under minimal regularity hypothesis. test problem of an application of the wave equation in the laser is presented to verify the efficiency and accuracy of the method.

in this paper, based on the slab method of analysis, a novel and general approach isdeveloped for studying the radial forging process with curved profile dies. the presented approachis not only more general with respect to previous studies, but it is also easier to understand and useand can be efficiently used for optimization of the die profile depending on the forging geometryand conditions. ...