Abstract. To increase the sustainability of forming processes such as punch bending, homogenization processed semi-finished product is an essential step in manufacturing process. High-strength wire materials are usually available strip material before being further a For storage and transport, coiled onto coils transported to customer. During coiling process, residual stresses plastic deformati...

Several modules M over algebras with straightening law A have a structure which is similar to the structure of A itself: M has a system of generators endowed with a natural partial order, a standard basis over the ring B of coefficients, and the multiplication A × M → A satisfies a “straightening law”. We call them modules with straightening law, briefly MSLs. In section 1 we recall the notion ...

Peyronie's disease (PD) is most simply referred to as a fibrotic wound-healing disorder of the tunica albuginea. It is both a physically and psychologically devastating disorder that causes penile deformity, curvature, hinging, narrowing and shortening, which may compromise sexual function. Although a variety of non-surgical treatments have been suggested, none to date offer a reliable and effe...

A canonical straightening process is described for soliton curves associated with the localized induction hierarchy. Following computer animated examples, the present topic is placed in the context of a larger theme: the soliton class is a natural setting for representation of diverse topological and geometrical behavior of curves and their motions. The constructions we describe here pertain to...

We describe a straightening algorithm for the action of Sn on a certain graded ring Ru. The ring Ru, appears in the work of C. de Concini and C. Procesi [2] and T. Tanisaki [8], and more recently in the work of A. Garsia and C. Procesi [4]. This ring is a graded version of the permutation representation resulting from the action of Sn on the left cosets of a Young subgroup. As a corollary of ou...