In the present study, the aim is to optimize full and half toroidal continuously variable transmission (CVT) in order to minimize the vehicle fuel consumption (FC) in ECE driving cycle. First, the model of both CVTs’ efficiency is presented. The control strategy of CVTs speed ratio based on minimizing the vehicle FC is introduced, and the algorithm of calculating the vehicle FC is shown. Afterw...

We classify the minimum volume smooth complex hyperbolic surfaces that admit smooth toroidal compactifications, and we explicitly construct their compactifications. There are five such surfaces and they are all arithmetic, i.e., they are associated with quotients of the ball by an arithmetic lattice. Moreover, the associated lattices are all commensurable. The first compactification, originally...

This paper presents a method of determining the shape of the surface swept by a generalized milling tool that follows a 5-axis tool path for machining curved surfaces. The method is a generalization of an earlier technique for toroidal tools that is based on identifying grazing points on the tool surface. We present a new proof that the points constructed by this earlier method are in fact graz...

A status report on the revitalization of the NSLS VUV ring will be presented, concentrating on three areas: 1) the four infrared ports (U2A/B, U4IR, U10A/B, and U12IR), 2) conversion of out-of-date toroidal grating monochromators to spherical grating type (U4A, U7A, and U12A), and 3) new insertion device beamlines (U5UA and U13UB). All of these beamlines were designed (new ones) or upgraded (ol...

Critical values of Wilson lines and general background elds for toroidal compactiications of heterotic string theories are constructed systematically using Dynkin diagrams. This work is part of a Ph.D. thesis in preparation at the science faculty of the university of M unster.

Di erent isohedral tilings of the Euclidian Space are studied in this paper. Using the Voronoi zone in various lattices, we derived toroidal shapes that interlink with each other to ll space completely. The tile of main interest was the 3-segment ring-tile, for which we found several linear approximations.

A new class of time-symmetric solutions to the initial value constraints of vacuum General Relativity is introduced. These data are globally regular, asymptotically flat (with possibly several asymptotic ends) and in general have no isometries, but a U(1) × U(1) group of conformal isometries. After decomposing the Lichnerowicz conformal factor in a double Fourier series on the group orbits, the...

A new numerical code is developed to assist the interpretation of experimental results from the Versatile Toroidal Facility (VTF) magnetic reconnection experiment. As input the code applies profiles of magnetic and electric fields consistent with experimental measurements. Applying Liouville’s theorem the code calculates the electron distributions functions. The moments of the distribution func...

0. Introduction We work over an algebraically closed field k of characteristic 0. 0.1. Statement. In this paper, we use techniques of toric geometry to reprove the following theorem: Theorem 0.1. Let X be a projective variety of finite type over k, and let Z ⊂ X be a proper closed subset. Let G ⊂ Aut k (Z ⊂ X) be a finite group. Then there is a G-equivariant modification r : X 1 → X such that X...