We give the generalization of construction of Tate and Beilinson of residue of differential form to obtain the 2-dimensional tame symbol of 2-dimensional local field as the commutator of the group-like monoidal category.

Several qualitative properties of equilibria in electrical circuits are analyzed in this paper. Specifically, non-singularity, hyperbolicity, and asymptotic stability are addressed in terms of the circuit topology, which ...

The approximate subdifferential introduced by Mordukhovich has attracted much attention in recent works on nonsmooth optimization. Potential advantages over other concepts of subdifferentiability might be related to its ...

This paper summarises the general strategy for time evolving finite elastoplasticity and outlines encountered computational challenges in form of numerical benchmarks. Each time-step of some natural implicit time-discretisation ...

We first show that {\sc Lipschitz} mappings transform measurable sets into measurable sets. Then we prove the following theorem:\par {\it Let $E\subseteq \mathbb{R}^n$ be open, and let $\phi: E\to\mathbb{R}^n$ be continuous. ...

In this paper we derive both the leading order finite size corrections for twist-2 and twist-3 operators and the next-to-leading order finite-size correction for twist-2 operators in beta-deformed SYM theory. The obtained ...

Nous montrons un théorème de Paley-Wiener matriciel pour l’algèbre de Hecke d’un groupe réductif p-adique. La preuve est basée sur une analogue de la formule de Plancherel.

We discuss three scalarizations of the multiobjective optimization from the point of view of the parametric optimization. We analize three important aspects: 1. What kind of singularities may appear in the different ...

In previous papers [HoEis], [Ho2000] we found neat Picard modular surfaces with abelian minimal model and, conversely, a divisor criterion on abelian surfaces A for such a situation. For the corresponding ball lattices ...