We consider a confidence parametrization of binary information sources in terms of appropriate likelihood ratios. This parametrization is used for Bayesian belief updates and for the equivalent comparison of binary experiments. In contrast to the standard parametrization of a binary information source in terms of its specificity and its sensitivity, one of the two confidence parameters is suffi...

results the total number of time-loss injuries and matches missed rose from 129 and 506 respectively in 2008 - 2009 to 202 and 1110 in 2010 - 2011. following the introduction of ‘minimum medical standards’, both categories decreased (significantly for matches missed). these time-loss injuries and matches missed led to high costs of up to aud$ 37,317,029.29 (2012 - 2013 season). the same trend w...

A method of Hurwitz-Radon Matrices (MHR) is proposed to be used in parametrization and interpolation of contours in the plane. Suitable parametrization leads to curvature calculations. Points with local maximum curvature are treated as feature points in object recognition and image analysis. The matrices are skew-symmetric and possess columns composed of orthogonal vectors. The operator of Hurw...

We consider the benchmark problem of magnetic energy density enhancement in a small spatial region by varying the shape of two symmetric conducting scatterers. We view this problem as a prototype for a wide variety of geometric design problems in electromagnetic applications. Our approach for solving this problem is based on shape optimization and isogeometric analysis. One of the major difficu...

We outline a strategy for showing convergence of loop-erased random walk on the Z square lattice to SLE(2), in the supremum norm topology that takes the time parametrization of the curves into account. The discrete curves are parametrized so that the walker moves at a constant speed determined by the lattice spacing, and the SLE(2) curve has the recently introduced natural time parametrization....

In this short paper we deal with problems of controller parametrization in the context of behavioral systems. Given a full plant behavior, a subbehavior of the manifest plant behavior is called regularly implementable if it can be achieved as the controlled behavior resulting from the interconnection of the full plant behavior with a suitable controller behavior, in such a way that the number o...

In this paper, we present an efficient approach for parameterizing a genus-zero triangular mesh onto the sphere with an optimal radius in an as-rigid-as-possible (ARAP) manner, which is an extension of planar ARAP parametrization approach to spherical domain. We analyze the smooth and discrete ARAP energy and formulate our spherical parametrization energy from the discrete ARAP energy. The solu...

We consider a non-standard parametrization, where, for problems consisting of a combinatorial structure and a number, we parameterize by the combinatorial structure, rather than by the number. For example, in the Short-Nondeterministic-Halt problem, which is to determine if a nondeterministic machine M accepts the empty string in t steps, we parameterize by |M |, rather than t. We call such par...

Abstract This paper shows that the multiplicity of base point locus a projective rational surface parametrization can be expressed as degree content univariate resultant. As consequence, we get new proof formula relating surface, parametrization, and map induced by parametrization. In addition, extend both formulas to case dominant maps plane describe how loci its reparametrizations are related...