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This tool has been used for the linear search problem, i.e., finding a target on the infinite line, which has attracted much attention over several decades and has been analyzed as a search game. [5] It has also been used to find a minimax trajectory for searching a set of concurrent rays.
The linear search problem was solved by Anatole Beck and Donald J. Newman (1970) as a two-person zero-sum game. Their minimax trajectory is to double the distance on each step and the optimal strategy is a mixture of trajectories that increase the distance by some fixed constant. [ 8 ]
The Bernstein problem was originally posed by Eugenio Calabi in 1970, who proved some special cases of the result. Simple examples show that there are a number of hypersurfaces of Minkowski space of zero mean curvature which fail to be spacelike.
By increasing the surface area, the load is distributed over a larger area, reducing the bearing pressure. In good design practice, the threaded part of the screw should be small and only the smooth part should be in contact with the plates; in the case of a shoulder screw , the clearance between the screw and the hole is very small ( a case of ...
In mathematics, a minimal surface is a surface that locally minimizes its area. This is equivalent to having zero mean curvature (see definitions below). The term "minimal surface" is used because these surfaces originally arose as surfaces that minimized total surface area subject to some constraint.
In number theory, zero-sum problems are certain kinds of combinatorial problems about the structure of a finite abelian group. Concretely, given a finite abelian group G and a positive integer n , one asks for the smallest value of k such that every sequence of elements of G of size k contains n terms that sum to 0 .
The gravitational acceleration outside a Bouguer plate is perpendicular to the plate and towards it, with magnitude 2πG times the mass per unit area, where is the gravitational constant. It is independent of the distance to the plate (as can be proven most simply with Gauss's law for gravity , but can also be proven directly with Newton's law ...
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