Closest point problem

Closest point problem

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  • Closest pair of points problem — Closest pair of points shown in red The closest pair of points problem or closest pair problem is a problem of computational geometry: given n points in metric space, find a pair of points with the smallest distance between them. Its two… …   Wikipedia

  • Point on plane closest to origin — In Euclidean 3 space we will find the point on an arbitrary plane that is closest to the origin using the method of Lagrange multipliers. First, let us start with an arbitrary plane, ax + by + cz = d. The distance, L, from the origin to a point… …   Wikipedia

  • Lattice problem — In computer science, lattice problems are a class of optimization problems on lattices. The conjectured intractability of such problems is central to construction of secure lattice based cryptosystems. For applications in such cryptosystems,… …   Wikipedia

  • Travelling salesman problem — The travelling salesman problem (TSP) is an NP hard problem in combinatorial optimization studied in operations research and theoretical computer science. Given a list of cities and their pairwise distances, the task is to find a shortest… …   Wikipedia

  • Smallest circle problem — The smallest circle problem or minimum covering circle problem is a mathematical problem of computing the smallest circle that contains all of a given set of points in the Euclidean plane. The corresponding problem in n dimensional space, the… …   Wikipedia

  • Distance of closest approach of ellipses and ellipsoids — The distance of closest approach of two objects is the distance between their centers when they are externally tangent. The objects may be geometric shapes or physical particles with well defined boundaries. The distance of closest approach is… …   Wikipedia

  • Classical central-force problem — In classical mechanics, the central force problem is to determine the motion of a particle under the influence of a single central force. A central force is a force that points from the particle directly towards (or directly away from) a fixed… …   Wikipedia

  • Kepler problem in general relativity — The Kepler problem in general relativity involves solving for the motion of two spherical bodies interacting with one another by gravitation, as described by the theory of general relativity.Typically, and in this article, one body is assumed to… …   Wikipedia

  • Floating point — In computing, floating point describes a method of representing real numbers in a way that can support a wide range of values. Numbers are, in general, represented approximately to a fixed number of significant digits and scaled using an exponent …   Wikipedia

  • K-server problem — The k server problem is a problem of theoretical computer science in the category of online algorithms, one of two abstract problems on metric spaces that are central to the theory of competitive analysis (the other being metrical task systems).… …   Wikipedia

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