Further, we introduced a novel visualization method of the optimization space and trajectory (TRAVISOS) that allows more efficient and transparent human supervision of optimization process properties, e.g., diversity and neighborhood relations of solution qualities.
First, we analyze the solvability of the Neumann-to-Dirichlet map gap equation and establish a relation of its solution to the Green function of an interior transmission problem for the inclusion.
Indeed, much of his work books like the Tangencies, the Vergings (or Inclinations), and the Plane Loci, now lost but amply described by Pappus turns on the project of setting out the domain of planar constructions in relation to solutions by other means.
Moreover, we also give the relation between the existence of solutions of equilibrium problems and the convergence of the iteration sequence.
They obtained the result that (1.2) has a nonnegative ground state solution and investigated the relation between the number of solutions and the topology of the set where V attains its minimum for all sufficiently large λ and small ε.
With the support of this tool the decision-maker can obtain information about the shape of the Pareto front, the range of explored area by the algorithms, qualitative estimation of algorithm performance, relation between objectives, location of solutions and their dispersion.
A lower bound is derived based on the relation of the optimal solution of the relaxation to the chromatic number of a series of auxiliary graphs.
These solutions provide self-consistent corrections through second order in a shape parameter ε to the Peclet number vs supercooling relation of the Ivantsov solution.
He introduced the relation between solutions of (1.6) and fixed point of the mapping G as follows.
