First Sentence:
The arrangement A( ) of a finite collection of curves or surfaces in Rd is the decomposition of the space into relatively open connected cells of dimensions 0,..., d induced by , where each cell is a maximal connected set of points lying in the intersection of a fixed subset of and avoiding all other elements of .
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Key Phrases - Statistically Improbable Phrases (SIPs):
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halving triangles, boundary sample points, interior sample points, convex partition number, cross ratio phases, partial match problem, affine point configuration, abstract order types, one hinge point, cocone neighbor, crosses aff, infeasible arrangement, underlying abstract polyhedron, equal spherical balls, turnpike problem, turnpike reconstruction, cylindrical cell decomposition, magic arrays, greedy flip algorithm, one red point, coinciding vertices, balanced subdivisions, central simplex, cyclic chromatic number, weighted square distance
Key Phrases - Capitalized Phrases (CAPs):
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New York, Discrete Comput, Theory Ser, Cambridge University Press, Theory Appl, Fejes Tóth, London Math, Boca Raton, Department of Mathematics, North Holland, Symbolic Comput, Academic Press, Discrete Appl, Rotating Convex Bodies, Charles University, Dense Packings of Congruent Circles, Generalized Lower Bound Theorem, Handbook of Convex Geometry, Hungarian Academy of Sciences, Las Vergnas, Nearest Neighbor Lower Bound, Springer Verlag, Stony Brook, Zvi Schur, Acknowledgments Work
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