This paper examines the added value of a digital tool that constitutes new model to introduce students multiplication. Drawing on theory semiotic mediation, potential this is analysed with respect same task can be solved in two different settings (the and pencil paper). The analysis shows solutions undergo significant changes depending technological settings. Even though end product model–task ...

In this paper, we study the bicanonical pencil of a Godeaux surface and of a determinantal Barlow surface. This study gives a simple proof for the unobstructedness of deformations of a determinantal Barlow surface. Then we compute the number of hyperelliptic curves in the bicanonical pencil of a determinantal Barlow surface via classical Prym theory.

This paper describes structural properties of solutions to distance problems for rectangular matrix pencils. Properties are given for both the closest non-generic pencil and the smallest perturbation which yields a non-generic pencil. Smoothness results are given which suggest a natural geometric understanding of the problem and allow extension to more general distance problems.

The rational QZ method generalizes the by implicitly supporting subspace iteration. In this paper we extend introducing shifts and poles of higher multiplicity in Hessenberg pencil, which is a pencil consisting two matrices. result multishift, multipole iteration on block pencils allows one to stick real arithmetic for input pencil. combination with optimally packed aggressive early deflation a...

A computer-aided assessment system is presented that has been designed to produce and deliver tests to the Hellenic Air Force Academy students and assess their performance. The system is called e-Xaminer and is intended for use in both undergraduate courses and distance learning post-graduate programs of the Academy. The e-Xaminer uses meta-language concepts to automatically generate tests, bas...

We study wave propagation in periodic and frequency dependent materials. The approach in this paper leads to spectral analysis of a quadratic operator pencil where the spectral parameter relates to the quasimomentum and the frequency is a parameter. We show that the underlying operator has a discrete spectrum, where the eigenvalues are symmetrically placed with respect to the real and imaginary...

This paper presents an asymptotical analysis of the MUSIC and Pencil-MUSIC methods for estimating 2-D angles and polarizations using crossed dipoles. The explicit first order expressions for the variances of the MUSIC and Pencil-MUSIC estimates are derived. Both the theoretical and simulation results are used to analyze and compare the performances of the MUSIC and Pencil-MUSIC methods. A numbe...