We introduce a trust region algorithm for minimization of nons-mooth functions with linear constraints. At each iteration, the objective function is approximated by a model fuction that satisses a set of assumptions stated recently by Qi and Sun in the context of unconstrained nonsmooth optimization. The trust region iteration begins with the resolution of an \easy problem", as in recent works ...

Using a recent improvement by Bettin and Chandee to a bound of Duke, Friedlander and Iwaniec (1997) on double exponential sums with Kloosterman fractions, we establish a uniformity of distribution result for the fractional parts of Dedekind sums s(m,n) with m and n running over rather general sets. Our result extends earlier work of Myerson (1988) and Vardi (1987). Using different techniques, w...

THIS paper contains a demonstration of the Adams conjecture [l] for real vector bundles. Unlike an old attempt of mine [12], which has recently been completed by Friedlander [S], and the proof of Sullivan [1.5], no use is made of the etale topology of algebraic varieties. The proof uses only standard techniques of algebraic topology together with some basic results on the representation rings o...

This brochure consists of three chapters. The first is a collection of' miscellaneous notes on position during operations for removal of tonsils and adenoids, points in the technique of submucous resection of the septum, hysterical aphonia and other unrelated subjects, thrown together seemingly at random. The second chapter deals with zinc ionization of the ear and nasal sinuses, and the third ...

Let φ denote Euler’s totient function. The frequency with which φ(n) is a perfect square has been investigated by Banks, Friedlander, Pomerance, and Shparlinski, while the frequency with which φ(n) is a sum of two squares has been studied by Banks, Luca, Saidak, and Shparlinski. Here we look at the corresponding threesquares question. We show that φ(n) is a sum of three squares precisely sevene...

Abstract. Given two unitary involutions σ1 and σ2 satisfying Gσi = −σiG on kerB on a compact manifold with cylindrical end, M. Lesch, K. Wojciechowski ([LW]) and W. Müller ([M]) established the formula describing the difference of two eta-invariants with the APS boundary conditions associated with σ1 and σ2. In this paper we establish the analogous formula for the zeta-determinants of Dirac Lap...

many people since then, including Chetayev and Merkin, although the name was coined only recently (see [1]). However, the extension to the infinite dimensional case is much more subtle and this is the main point of the poster. Besides detailed analytical estimates for the PDE’s involved, the tools that were useful in carrying this out for the baroclinic instability include Arnold’s nonlinear st...

We prove that the Drinfeld double of an arbitrary finite group scheme has finitely generated cohomology. That is to say, for G any scheme, and D(G) ring kG, we show self-extension algebra trivial representation a algebra, each D(G)-representation V extensions from form module over aforementioned algebra. As corollary, find all categories \({{\,\mathrm{rep}\,}}(G)^*_\mathscr {M}\) dual \({{\,\ma...