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DCG
2006
97views more  DCG 2006»
13 years 4 months ago
k-Sets in Four Dimensions
We show, with an elementary proof, that the number of halving simplices in a set of n points in R4 in general position is O(n4-2/45). This improves the previous bound of O(n4-1/13...
Jirí Matousek, Micha Sharir, Shakhar Smorod...
CPC
2011
215views Education» more  CPC 2011»
12 years 11 months ago
An Improved Bound for k-Sets in Four Dimensions
We show that the number of halving sets of a set of n points in R4 is O n4−1/18 , improving the previous bound of [9] with a simpler (albeit similar) proof.
Micha Sharir
PRESENCE
2000
94views more  PRESENCE 2000»
13 years 4 months ago
Virtual Environments with Four or More Spatial Dimensions
We describe methods for displaying complex, texturemapped environments with four or more spatial dimensions that allow for real-time interaction. At any one moment in time, a thre...
Michael D'Zmura, Philippe Colantoni, Gregory Seyra...
HICSS
2005
IEEE
109views Biometrics» more  HICSS 2005»
13 years 10 months ago
Moving Beyond Tacit and Explicit: Four Dimensions of Knowledge
R. Mitch Casselman, Danny A. Samson