Communicated June 30, 1964 The problem of the diffraction of obliquely incident scalar waves by finite slits and strips with various boundary conditions has been considered previously.' Reference may be made to the work of other authors on the diffraction of scalar waves by finite slits.2 The problem of the diffraction of obliquely incident vector elastic waves by a clamped finite strip has als...

This report concerns an area which is situated half-way between classical numerical analysis and symbolic computation (computer algebra). On the one hand, functions and function space operators constitute explicit objects in the suggested algorithms, on the other hand all relations are eventually projected into some R^ so that only classical computational processes are executed. With a suitable...

The planar and linear substructures of a threedimensional icosahedral AmmannKramer-Penrose quasilattice have been analysed. Infinitely many families of planes and rows are existing such that each family covers all vertices of the quasilattice. The members of a family of parallel planes are separated by at least three but a finite number of different distances, whose sequence is quasiperiodic an...

The aim of this study was to assess the effects of strip cropping and different weed control methods on the yield and yield structure of dent maize, narrow-leafed lupin and spring oat. A split-plot design with four replications was conducted in 2008-2010. The following factors were analysed in the experiment: I. Cultivation method – sole cropping and strip cropping; II. Weed control method ...

A method for calibrating the force gradients and probe magnetic moment in phase-contrast magnetic force microscopy ~MFM! is introduced. It is based upon the combined electrostatic force microscopy EFM and MFM images of a conducting non magnetic metal strip. The behavior of the phase contrast in EFM is analyzed and modeled as a finite area capacitor. This model is used in conjunction with the im...

We describe a bijection between hexagonal lattice animals and a special type of square lattice animals. Using this bijection we adopt Maple packages that automatically generates generating functions (and series expansions) for fixed square lattice lattice animals to that of fixed hexagonal animals on the two-dimensional hexagonal lattice confined to a strip 0 ≤ y ≤ k, for arbitrary k. In [Z1], ...

The 3ω method is popular for thermal conductivity measurements. It consists of a strip heater above a substrate, and the results are usually based on approximate solutions of the heat conduction equation for simplified heating in which the heater is assumed to be a thin plate. Through numerical studies, it is found that a finite heater thickness has an effect on the value of the thermal conduct...

The stability of a rapid dynamic crack in a two-dimensional infinite strip is studied in the framework of linear elastic fracture mechanics supplemented with a modified principle of local symmetry. It is predicted that a single crack becomes unstable by a finite wavelength oscillatory mode at a velocity vc, 0.8cR<vc<0.85cR, where cR is the Rayleigh wave speed. The relevance of this theoretical ...

A closed-form expression is obtained for the generating function of close-packed dimers on a 2M × 2N simple quartic lattice embedded on a Möbius strip. The finite-size corrections are also analyzed and compared with those under cylindrical and free boundary conditions. Particularly, it is found that, for large lattices with a square symmetry and the Möbius boundary condition, the number of dime...

The tandem cold rolling process is continuous production, and it desired to achieve a stable operation process, the incoming materials need be welded in length direction before rolling. Usually head tail of material have thickness dimension positive deviation, there are two alignments front rear strip, so that different weld zone profiles can formed. In this research, we built an FEA (finite el...