Planes, p-Flats, and Hyperplanes

Alfred Inselberg ()
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Alfred Inselberg: Tel Aviv University School of Mathematical Sciences

Chapter 5 in Parallel Coordinates, 2009, pp 115-183 from Springer

Abstract: Abstract A hyperplane in ℝNcan be translated to one that contains the origin, which is an (N−1)-dimensional linear subspace of ℝN. Since ℝ N − 1 can be represented in ∥ -coords by N−1 vertical lines and a polygonal line representing the origin, it is reasonable to expect a similar representation for hyperplanes in ℝN.

Keywords: Vertical Line; Half Space; Construction Algorithm; Index Point; Polygonal Line (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1007/978-0-387-68628-8_5

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