Geospatial data is gathered through a variety of different methods. The integration and handling of such data-sets within a Digital Earth framework are very important in many aspects of science and engineering. One means of addressing these tasks is to use a Discrete Global Grid System and map points of the Earth’s surface to cells. An indexing mechanism is needed to access the data and handle ...

We solve the dynamic equation for the kinetic spherical model that initially is in an arbitrary equilibrium state and then is left to evolve in a heat-bath with another temperature. Flows of the Renormalizational group are determined. PACS numbers: 64.60.Ht, 64.60.Cn, 05.70.Ln, 05.70.Fh

All complete, axially symmetric surfaces of constant mean curvature in R lie in the one-parameter family Dτ of Delaunay surfaces. The elements of this family which are embedded are called unduloids; all other elements, which correspond to parameter value τ ∈ R, are immersed and are called nodoids. The unduloids are stable in the sense that the only global constant mean curvature deformations of...

The Birkhoff polytope Bn is the convex hull of all n× n permutation matrices in Rn×n. We compute the combinatorial symmetry group of the Birkhoff polytope. A representation polytope is the convex hull of some finite matrix group G 6 GL(d,R). We show that the group of permutation matrices is essentially the only finite matrix group which yields a representation polytope with the face lattice of ...

In many examples of repeating patterns in the art of various cultures, the use of symmetries to analyze those patterns does a good job of capturing the repetition intended by the artist. In other cases, however, the artist uses precise forms of repetition that are not well modeled by mathematical symmetries. The analysis of the orbits of motifs under the action of the symmetry group both reveal...

We attempt to fit observations with 5 resolution of the J=2−1 transition of CS in the directions of H ii regions A, B, and G of W49A North as well as observations with 20 resolution of the J=2−1, 3−2, 5−4, and 7−6 transitions in the directions of H ii regions A and G by using radiative transfer calculations. These calculations predict the intensity profiles resulting from several spherical clou...

MARTINS, Claudia Beatriz Monte Jorge. Technology integration into Modern Languages Courses in the state of Paraná from the teachers’ perspective: a mixed methods study. 404 f. Tese (Doutorado em Tecnologia) – Programa de PósGraduação em Tecnologia, Universidade Tecnológica Federal do Paraná. Curitiba, 2015. The objective of this study was to analyze the integration of technology, or rather CALL...

In this paper, the Lie group analysis method is applied to the geometric average Asian option pricing equation in financial problems. Firstly, the complete Lie symmetry group and infinitesimal generators of this equation are derived. Then the optimal system with one parameter for the Lie symmetry algebra are obtained, which gives the possibility to describe a complete set of invariant solutions...

There are many assumptions that have been considered when describing black liquor droplet combustion. These include assuming an isothermal particle, a constant diameter particle, inert inorganic species, and one-film diffusion model. This paper shows the effects of systematically relaxing these factors for a 1-D spherical model for black liquor combustion. The flame is described using boundary ...

We construct in a systematic way the complete Chevalley-Eilenberg cohomology at form degree two, three and four for the Galilei and Poincaré groups. The corresponding non-trivial forms belong to certain representations of the spatial rotation (Lorentz) group. In the case of two forms they give all possible central and non-central extensions of the Galilei group (and all non-central extensions o...