SOME PROBLEMS INVOLVING CIRCULAR AND SPHERICAL TARGETS
BOEING SCIENTIFIC RESEARCH LABS SEATTLE WA
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This article is concerned with some problems which occur in certain tactical considerations how should one place k circles spheres in the plane 3-space so that their union has the greatest standard normal probability measure, that is, so as to maximize the probability that a random normal point will fall in one or more of the circles spheres. For k 3 the problem seems hopeless, except for certain special situations the case for k 3 is still unresolved and is being worked on by a number of investigators, and the case for k 2 is solved completely in this paper. The results for k 2 have some practical value when applied to actual problems arising in tactical considerations, and some theoretical value, as a method of attacking the problem for k 3.
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