Commutation Characteristics of Divided Brushes

The Effect of the Elastic Modulus and Solid Viscosity of Carbon Brushes on their Commutation Characteristics

We have tried a theoretical study upon the experimental results obtained by the preceeding method. In other words, we considered that the brush is a vibration system of the combination of elastic body and shock absorver and gat its approximate solution by method of concentrated mass. From the above study we arrived at the conclusion that the improvement of contacting condition of the brush depe...

A note on Frobenius divided modules in mixed characteristics

If X is a smooth scheme over a perfect field of characteristic p, and if D (∞) X is the sheaf of differential operators on X [8], it is well known that giving an action of D (∞) X on an OX -module E is equivalent to giving an infinite sequence of OX -modules descending E via the iterates of the Frobenius endomorphism of X [6]. We show that this result can be generalized to any infinitesimal def...

Commutation Structures

For fixed object X in a monoidal category, an X-commutation structure on an object A is just a map X⊗A → A⊗X. We study aspects of such structures in case A has a dual object. We consider a monoidal category V,⊗, I; for simplicity we let it be strict (the application we have in mind is anyway a category of endofuncors on a category, with composition as ⊗). Let X be an object in V, fixed througho...

Challenges of Commutation

We consider a few problems connected to the commutation of languages, in particular nite ones. The goal is to emphasize the challenging nature of such simply formulated problems. In doing so we give a survey of results achieved during the last few years, restate several open problems and illustrate some approaches to attack such problems by two simple constructions.

Partial Commutation and Traces