| How Terminal Is Terminal Velocity? (2008) | |||||||||||||
Abstract | |||||||||||||
| Since Vu−{x} ⊥ x − ¯xu−{x}, V(H) ⊂ R p−1 ×{0}, and we can consider the points V(u − {x}) as lying in R p−1. By (2), the (p − 1) × (p − 1) submatrix [BV(u−{x})]1≤i, j≤p−1 equals σ 2 Ip−1, so applying the induction hypotheses to V(u −{x}) we conclude that the interpoint distances of u −{x}, unchanged by V, areall2σ 2. The induction is completed by noting that this is true for each x in u. | |||||||||||||
Publication details | |||||||||||||
| |||||||||||||