Using a transfer matrix method, we present some results for directed lattice walkers in a horizontal strip of finite width. Some cases with two walkers in a small width are solved exactly, as are a couple of cases with vicious walkers in a small width; a conjecture is made for a case with three walkers. We also derive the general transfer matrix for two walkers. Lastly, we examine the dependenc...

Goulden, I.P., A linear operator for symmetric functions and tableaux in a strip with given trace, Discrete Mathematics 99 (1992) 69-77. The sum of Schur symmetric functions in a countable set of variables, over partitions with given trace and upper bound on the number of parts, is evaluated. This generalizes results of Gordon (1971). The method is to extend an analogous sum in a finite set of ...

This study, tries to suggest a design method based on displacement using finite difference numerical modeling in reinforcing soil retaining wall with steel strip. In this case, dynamic loading characteristics such as duration, frequency, peak ground acceleration, geometrical characteristics of reinforced soil structure and type of the site are considered to correct the pseudo static method and ...

cage roll forming is one of the new methods of cold roll forming process which is widely used for producing erw pipes. in addition to less production cost and time, using cage roll forming provides smooth deformation on the strip. few studies can be found about cage roll forming because of its complexity, and the available knowledge is more experience-based and not science-based. in this paper,...

Stability of foundations near slopes is one of the important and complicated problems in geotechnical engineering, which has been investigated by various methods such as limit equilibrium, limit analysis, slip-line, finite element and discrete element. The complexity of this problem is resulted from the combination of two probable failures: foundation failure and overall slope failure. The curr...

Dispersion curves of elastic guided waves in plates can be efficiently computed by the StripElement Method. This method is based on a finite-element discretization in the thickness direction of the plate and leads to an eigenvalue problem relating frequencies to wavenumbers of the wave modes. In this paper we present a rigorous mathematical background of the Strip-Element Method for anisotropic...

Closed-form expressions are obtained for the partition function of the Ising model on an MxN simple-quartic lattice embedded on a Möbius strip and a Klein bottle. The solutions all lead to the same bulk free energy, but for finite M and N the expressions are different depending on whether the strip width M is odd or even. Finite-size corrections at criticality are analyzed and compared with tho...

This paper describes a generic algorithm for iso-line, iso-strip, iso-surface, and iso-volume visualization of unstructured 3D meshes, such as finite element models. The four types of visualization are integrated in the same data representation. Consequently iso-volume contouring is trivially implemented as a combination of iso-strip and iso-surface patches of surfaces. The algorithm can handle...

The classical two-dimensional anisotropic triangular nearest-neighbor Ising (ATNNI) model is studied by the density matrix renormalization group (DMRG) technique when periodic boundary conditions are imposed. Applying the finite-size scaling to the DMRG results a commensurate-disordered (C-D) phase transition line as well as temperature and magnetic critical exponents are calculated. We conclud...

determination of the deformation length is one of the first steps in roll forming design. roll forming industries are very interested in explicit simple relationsfor prediction the deformation length without using trail-and-error methods at workshop or time consuming finite element simulations. in this paper, elastic properties and work-hardening behaviour of the strip are considered in additio...