Reverse Furthest Neighbors in Spatial Databases

For the B RFN queries, we also extend the analysis to the situation when Q is large in size and becomes disk-resident. Experiments on both synthetic and real data sets conrm the efciency and scalability of proposed algorithms over the bruteforce search based approach. p3 p2 p1 p4 p5 p6 p7 p8 P = {p1 , . . . , p8 }, q = p1 Fig.

www.cs.fsu.edu/~lifeifei/papers/RFN-icde2009.pdf

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Патент US5146233 - Rotating antenna with dipoles for hf waves - Google...

2, horizontal beams P1-P8, Q3-Q8 are arranged in pairs. At one of their ends, these beams are hinged so as to rotate on a horizontal shaft, such as A, fixedly joined to the mast 1. Furthermore, they are secured to the mast 1 by stays such as H. The beams P1-P8 concern the array of half-wave dipoles of the lower-range antenna and the heights above the ground.

www.google.com/patents/US5146233

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www.rlocman.ru/i/File/dat/Texas_Instruments/Microcontrollers_MCU/LM3S5B91_IBZ80_C5T.pdf

Theorem 1.1. Any algebraically closed eld is innite.

Then (L ∪ C2 ) ∩ (C ∪ M ) = {P1 , ..., P8 , Q1 , Q2 , R, S } ∪ ((L ∪ C2 ) ∩ M ) = C1 ∩ C ∪ {Q2 , R, S } ∪ ((L ∪ C2 ) ∩ M ). Of these 16 points, the 12 points C1 ∩ C ∪ ((L ∪ C2 ) ∩ M ) are on C1 ∪ M . By Prop 2.7 and the following remark, Q2 , R, S are.

math.ucr.edu/~ziv/papers/137-4.pdf

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Algebraic Geometry

There is a unique conic through ve points, hence Σ is unique, contradiction. 31 For the third case, suppose six points p 1 , . . . , p6 lie on an irreducible conic T . Let g ∈ T . Then dim S3 ( p1 , . . . , p8 , q) ≥ 2 (again, the dimension drops by at most 1). Let Σ be a cubic in this space.

math.ucsd.edu/~doprea/algebraicgeometry.pdf

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