Aside from intrinsic interest there are three (related) reasons for studying the unitary representations of £-adic division algebras. (1) They provide heuristics for more difficult (e.g., noncompact) £-adic groups. (2) They would be basic building blocks in a theory of representations of reductive algebraic £-adic groups based on the philosophy of cusp forms. (3) There seem to be deep relations...

Let X be a normed linear space, x ∈ X an element of norm one, and ε > 0 and δ(x,ε) the local modulus of convexity of X . We denote by ρ(x,ε) the greatest ρ≥ 0 such that for each closed linear subspace M of X the quotient mapping Q : X → X/M maps the open ε-neighbourhood of x in U onto a set containing the open ρ-neighbourhood of Q(x) in Q(U). It is known that ρ(x,ε) ≥ (2/3)δ(x,ε). We prove that...

A totally real polynomial in Z[x] with zeros α1 6 α2 6 · · · 6 αn has span αn − α1. Building on the classification of all characteristic polynomials of integer symmetric matrices having span less than 4, we obtain a classification of polynomials having span less than 4 that are the characteristic polynomial of a Hermitian matrix over some quadratic integer ring. We obtain as characteristic poly...

We explicitly construct the algebraic model of affine Jacobian of a generic algebraic curve of high genus and use it to compute the Euler characteristic of the Jacobian and investigate its structure.

A model predictive controller for optimal braking of a road vehicle is proposed. Taking into account the additional information provided by a torque sensor located in the wheel, there is no need to use any longitudinal model of the vehicle. Instead, we detail a way to identify a tire/road characteristic. This on-line reconstruction is based on an estimation of the longitudinal wheel slip and an...

Let G be a finite group. The symmetric Euler characteristic χ(G) is the maximal Euler characteristic of any surface X (orientable or nonorientable) on which G acts. The groups of symmetric Euler characteristic χ ≥ −2 have been classified. We show that S5 is the unique group with Euler characteristic -3. Two related parameters are the symmetric genus σ and the symmetric crosscap number σ̃. We con...

[Purpose] Assessment of posture is an important goal of physical therapy interventions for preventing the progression of forward head posture (FHP). The purpose of this study was to determine the inter- and intra-rater reliabilities of the assessment of FHP. [Subjects and Methods] We recruited 45 participants (20 male subjects, 25 female subjects) from a university student population. Two physi...

Present investigations involve a systematic study on the machinability of austempered ductile irons (ADI) developed from four commercially viable ductile irons alloyed with different contents of 0, 0.1, 0.3 and 0.6 wt.% of Ni. The influence of Ni content, amount of retained austenite and hardness of ADI on machining behavior has been conducted systematically. Austempering heat treatment was car...

We study the ne structure of the classiication of sets of natural numbers A according to the number of queries which are needed to compute the n-fold characteristic function of A. A complete characterization is obtained, relating the question to nite combinatorics. In order to obtain an explicit description we consider several interesting combinatorial problems.