To determine the exact distribution of tensile stress in a cold rolled strip, evolution caused by lateral uneven velocity outside deformation zone strip is examined. The finite difference method employed to solve problem. Different factors, including width and form amplitude initial on evolution, are analyzed. On one hand, improve calculation speed, “Gaussian” curve proposed fit results calcula...

A self-avoiding walk on an infinitely long lattice strip of finite width will asymptotically exhibit an end-to-end separation proportional to the number of steps. A proof of this proposition is presented together with comments concerning an earlier attempt to deal with the matter. In addition, some unproved, yet "obvious," conjectures concerning self-avoiding walks are cited as basic propositio...

We give an example of a ferromagnetic spin system with uniformly almost-periodic coefficients whose ground states may not be confined in any finite strip, in contrast to what previously proved in the case of periodic coefficients by Caffarelli and de la Llave.