Abstract We obtain an effective analytic formula, with explicit constants, for the number of distinct irreducible factors a polynomial $f \in \mathbb {Z}[x]$ . use version Mertens’ theorem fields to estimate related sum over rational primes. For given , our result yields finite list primes that certifies f

Explicit formulas for the analytic extensions of scattering matrix and time delay a quasi-one-dimensional discrete Schrödinger operator with potential finite support are derived. This includes careful analysis band edge singularities allows to prove Levinson-type theorem. The main algebraic tool plane wave transfer matrices.

For the Helmholtz equation (with wavenumber k) and analytic curves or surfaces Γ we analyze the mapping properties of the single layer, double layer as well combined potential boundary integral operators. A k-explicit regularity theory for the single layer and double layer potentials is developed, in which these operators are decomposed into three parts: the first part is the single or double l...

In the present study, impact of shrinkage on pyrolysis of biomass particles is studied employing a kinetic model coupled with heat transfer model using a practically significant kinetic scheme consisting of physically measurable parameters. The numerical model is used to examine the impact of shrinkage on temperature profile and pyrolysis conversion time considering cylindrical geometry. Finite...

Hyperbolic conservation laws (HCLs) are a class of partial differential equations that model transport processes. Many important phenomena in natural sciences are described by them. In this paper we consider finite difference methods for the approximation of HCLs. As HCLs describe an evolution in time, one may distinguish explicit and implicit schemes by the corresponding time integration mecha...

A new family of implicit, single-step time integration methods is presented for solving structural dynamics problems. The proposed method is unconditionally stable, second-order accurate and asymptotically annihilating. It is spectrally equivalent to Houbolt's method but is cast in single-step form rather than multi-step form; thus the new algorithm computationally is more convenient. An explic...

A key feature of human cooperation is that we can coordinate well without communication or negotiation. We achieve this by anticipating the intentions and actions of others, and adapting our own actions to them accordingly. In contrast, most multi-robot systems rely on extensive communication to exchange their intentions. This paper describes the joint approach of our two research groups to ena...

Article history: Received 1 August 2013 Received in revised form 7 January 2014 Accepted 10 January 2014 Available online 16 January 2014

We study a discrete analog of the Lagrange-d’Alembert principle of nonhonolomic mechanics and give conditions for it to define a map and to be reversible. In specific cases it can generate linearly implicit, semi-implicit, or implicit numerical integrators for nonholonomic systems which, in several examples, exhibit superior preservation of the dynamics. We also study discrete nonholonomic syst...

The long history of persuasion research shows how to change explicit, self-reported evaluations through direct appeals. At the same time, research on how to change implicit evaluations has focused almost entirely on techniques of retraining existing evaluations or manipulating contexts. In five studies, we examined whether direct appeals can change implicit evaluations in the same way as they d...