Search results for "Projection property"

showing 2 items of 2 documents

The Three-Body Problem

1972

The quantum mechanical three-body problem has been studied with increasing interest in the last decade. The main progress was achieved by deriving integral equations which are not only theoretically correct, but also practically applicable. Such equations allow us in particular to investigate, besides three-body bound states, the scattering of an elementary particle from a bound two-particle system.

PhysicsClassical mechanicsScatteringInteraction pictureBound stateElementary particleProjection propertyThree-body problemQuantumIntegral equation
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Efficiency in constrained continuous location

1998

Abstract We present a geometrical characterization of the efficient, weakly efficient and strictly efficient points for multi-objective location problems in presence of convex constraints and when distances are measured by an arbitrary norm. These results, established for a compact set of demand points, generalize similar characterizations previously obtained for uncontrained problems. They are used to show that, in planar problems, the set of constrained weakly efficient points always coincides with the closest projection of the set of unconstrained weakly efficient points onto the feasible set. This projection property which are known previously only for strictly convex norms, allows to e…

Information Systems and ManagementGeneral Computer ScienceFeasible regionRegular polygonProjection propertyManagement Science and Operations ResearchTopologyIndustrial and Manufacturing EngineeringPlanarCompact spaceModeling and SimulationNorm (mathematics)Convex functionMathematicsEuropean Journal of Operational Research
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