We associate determinant lines to objects of the extended abelian category built out of a von Neumann category with a trace. Using this we suggest constructions of the combinatorial and the analytic L torsions which, unlike the work of the previous authors, requires no additional assumptions; in particular we do not impose the determinant class condition. The resulting torsions are elements of ...

We consider exponential sums with x-coordinates of points qG and q−1G where G is a point of order T on an elliptic curve modulo a prime p and q runs through all primes up to N (with gcd(q, T )= 1 in the case of the points q−1G). We obtain a new bound on exponential sums with q−1G and correct an imprecision in the work of W. D. Banks, J. B. Friedlander, M. Z. Garaev and I. E. Shparlinski on expo...

Knisely, Ralph F. (U.S. Army Biological Laboratories, Fort Detrick, Frederick, Md.), Lois M. Swaney, and Harold Friedlander. Selective media for the isolation of Pasteurella pestis. J. Bacteriol. 88:491-496. 1964.-Several selective media are described that were successfully used to isolate virulent and avirulent strains of Pasteurella pestis from material heavily contaminated with other organis...

In this paper, we introduce the “semi-topological K-homology” of complex varieties, a theory related to semi-topological K-theory much as connective topological K-homology is related to connective topological K-theory. Our main theorem is that the semi-topological K-homology of a smooth, quasiprojective complex variety Y coincides with the connective topological Khomology of the associated anal...

Blast loads have been increasingly studied in the past decades, especially regarding civil structures. Until recently, negative phase of these has disregarded, but studies concluded that effect suction must be included. In case plates, nonlinearity plays an important role, and membrane should also considered. This work focuses on influence plates subjected to blast loads. Equations were develop...

Interior-point methods in semidefinite programming (SDP) require the solution of a sequence of linear systems which are used to derive the search directions. Safeguards are typically required in order to handle rank-deficient Jacobians and free variables. We generalize the primal-dual regularization of Friedlander and Orban (2012) to SDP and show that it is possible to recover an optimal soluti...

A general algorithm for minimizing a quadratic function with bounds on the variables is presented. The new algorithm can use diierent un-constrained minimization techniques on diierent faces. At every face, the minimization technique can be chosen according to he structure of the Hessian and the dimension of the face. The strategy for leaving the face is based on a simple scheme that exploits t...

Katz and Pavlovic recently proposed a dyadic model of the Euler equations for which they proved finite time blow-up in the H3/2+ǫ Sobolev norm. It is shown that their model can be reduced to the dyadic inviscid Burgers equation where nonlinear interactions are restricted to dyadic wavenumbers. The inviscid Burgers equation exhibits finite time blow-up in Hα, for α ≥ 1/2, but its dyadic restrict...

The Lyapunov-Schmidt reduction technique is used to prove a persistence theorem for fixed points of a parameterized family of maps. This theorem is specialized to give a method for detecting the existence of persistent periodic solutions of perturbed systems of differential equations. In turn, this specialization is applied to prove the existence of many hyperbolic periodic solutions of a stead...