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Numerical mathematics is the branch of mathematics that proposes, develops, analyzes and applies methods from scientific computing to several fields including analysis, linear algebra, geometry, approximation theory, functional equations, optimization and ...
We address the problem of reconstructing scalar and vector functions from non-uniform data. The reconstruction problem is formulated as a minimization problem where the cost is a weighted sum of two terms. The first data term is the quadratic measure of go ...
The cellular toxicity of carbon-based nanomaterials was studied as a function of their aspect ratio and surface chemistry. These structures were multiwalled carbon nanotubes, carbon nanofibers, and carbon nanoparticles. Their toxicity was tested in vitro o ...
In this paper we present an object representation based on the semantics and functionality of interactive digital items - virtual objects - within a virtual environment (VE). We consider every object participating in a VE application not only as a 3D shape ...
A novel architecture descending from the work of von Neumann, has been developed. This architecture borrows its main principles from living systems. Like living beings, the organisms considered here are able to autonomously develop, maintain their function ...
The initiation of cytokinesis in the fission yeast Schizosaccharomyces pombe is signalled by the septation initiation network (SIN). Signalling originates from the spindle pole body (SPB), where SIN proteins are anchored by a scaffold composed of cdc11p an ...
We establish how the spectral decomposition for a Riemann surface determines the allocation of the bounded cohomology over the representations of SL2(R). Then we explore the connections of the Dilogarithm with the continuous bounded cohomology of SL2(R) an ...
We propose a novel multiresolution-multigrid based signal reconstruction method from arbitrarily spaced samples. The signal is reconstructed on a uniform grid using B-splines basis functions. The computation of spline weights is formulated as a variational ...
We pose an identification problem that involves a nonlinear output equation and proceed to suggest an approximate linear solution. The approximation is obtained in two stages. We first replace the nonlinear functional by a linear relation, thus reducing th ...
We describe the computation which resulted in the title of this paper. Furthermore, we give an analysis of the data collected during this computation. From this data, we derive the important observation that in the final stages, the progress of the double ...