APPROXIMATE SOLUTIONS OF GRETZ - NUSSELT PROBLEM

Exact and Approximate Solutions of the Perspective-3-point Problem

Model-based pose estimation techniques which match image and model triangles require large numbers of matching operations in real world applications. We show that by using approximations to perspective, 2D lookup tables can be built for each of the triangles of the models. An approximation called \weak perspective" has been applied previously to this problem; we consider two other perspective a...

Exact and Approximate Solutions of the Perspective-Three-Point Problem

Computing Approximate Solutions of the Maximum Covering Problem with GRASP

We consider the maximum covering problem, a combinatorial optimization problem that arises in many facility location problems. In this problem, a potential facility site covers a set of demand points. With each demand point, we associate a nonnegative weight. The task is to select a subset of p > 0 sites from the set of potential facility sites, such that the sum of weights of the covered deman...

Approximate Solutions of the Determinantal Assignment Problem and Distance Problems

The paper introduces the formulation of an exact algebrogeometric problem, the study of the Determinantal Assignment Problem (DAP) in the set up of design, where approximate solutions of the algebraic problem are sought. Integral part of the solution of the Approximate DAP is the computation of distance of a multivector from the Grassmann variety of a projective space. We examine the special ca...

Approximate Solutions to the Binary Black Hole Initial Value Problem

We present approximate analytical solutions to the Hamiltonian and momentum constraint equations, corresponding to systems composed of two black holes with arbitrary linear and angular momentum. The analytical nature of these initial data solutions makes them easier to implement in numerical evolutions than the traditional numerical approach of solving the elliptic equations derived from the Ei...