Chapter 7 : Lines in R 3 Adam Sheffer
نویسنده
چکیده
, for t ∈ R. (1) The line lab is the set of parameterizations of the rotations of R 2 that take a to b. We consider the set of n lines L = {lab : a, b ∈ P}. (2) To prove that P determines Ω(n/ log n) distinct distances, it suffices to prove that the number of pairs of intersecting lines in L is O(n logn). Let Nk denote the number of points in R that are incident to exactly k lines of L, and let N≥k denote the number of points that are incident to at least k such lines. The number of pairs of intersecting lines can be expressed as n
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