The following twelve poster abstracts were presented at the ANTS-8 poster session.1 ANTS-8 was held at the Banff Centre in Banff, Alberta Canada, May 17–22, 2008. The conference website, where many of the posters can be viewed online, is http://ants.math. ucalgary.ca/. Calculating Really Big Cyclotomic Polynomials Andrew Arnold and Michael Monagan, Simon Fraser University, ada26@ sfu.ca The nth...

The Norwegian Experimental Remotely Operated Vehicle (NEROV) is described. The vehicle is designed and built at the Department of Engineering Cybernetics , The Norwegian Institute of Technology (NTH). The NEROV vehicle is an unmanned autonomous underwater vehicle (AUV) especially designed for testing advanced intelligent and conventional control algorithms. The vehicle is autonomous with respec...

Survival data are presented for a fecal strain of Escherichia coli exposed to three concentrations of chlorine dioxide at four temperatures. Chick's first-order reaction equation is generalized to a pseudo nth-order model. Nonlinear least squares curve-fitting of the survival data to the nth order model was performed on an analogue computer. The data were observed to follow fractional order kin...

This notation is slightly confusing, since L is not a matrix: we use it to denote this \a ne linear" operation. To solve this system of ODEs, we choose a time step k, de ne time levels tn = nk for n = 0, 1, . . . , and introduce u n ∈ RN−1. The vector un will be determined by a discrete dynamical system and it is our hope that this can be done in such a way that uj ≈ Uj(tn) ≈ u(xj, tn). Recall ...

TOPIC: Procedures TYPE: Original Investigations PURPOSE: Postprocedural pneumothorax (iatrogenic) is a patient safety indicator resulting from invasive procedures such as insertion of subclavian central line, pacemaker/ implantable cardiac defibrillator (ICD) placement, transbronchial lung biopsy and transthoracic pulmonary biopsy. This study examines if any these have higher predisposition to ...

In this paper, we present a Taylor-series expansion method for a class of Fredholm singular integro-differential equation with Cauchy kernel. This method uses the truncated Taylor-series polynomial of the unknown function and transforms the integro-differential equation into an nth order linear ordinary differential equa.tion with variable coefficients: ~y Galerkin method we use the orthogonal ...

*Correspondence: [email protected] Department of Mathematics, Binzhou University, Shandong, 256603, P.R. China Abstract The square iterative roots for strictly monotonic and upper semicontinuous functions with one set-valued point were fully described in (Li et al. in Publ. Math. (Debr.) 75:203-220, 2009). As a continuation, we study both strictly monotonic and nonmonotonic multifunctio...

Abstract This paper describes new proposed algorithms for constructing the transfer function of nth order Butterworth LPF using the idea of the cascade combination of active filters. Computer-aided design is used with new algorithms to achieve the procedure of constructing the transfer function and give the practical results of the nth order Butterworth active LPF. C++ program is used for desig...

We de ne a natural product on integer programming problems with nonnegative coe cients. Hypergraph covering problems are a special case of such integer programs, and the product we de ne is a generalization of the usual hypergraph product. The main theorem of this paper gives a su cient condition under which the solution to the nth power of an integer program is asymptotically as good as the so...

We prove that for any odd integer N and any integer n > 0, the Nth power of a product of n commutators in a nonabelian free group of countable infinite rank can be expressed as a product of squares of 2n+1 elements and, for all such odd N and integers n, there are commutators for which the number 2n+1 of squares is the minimum number such that the Nth power of its product can be written as a pr...