Monday, January 12, 2009

Eigenraptors

The Eigenraptors of Asia correspond to extinct Eigensaurs. The Eigensaurs -- called L1, L2, ..., Lk until species names are announced -- were separated by orthogonality of the mountains in which they lived. This independence of lines of Eigensaurs shows that the Eigenraptors -- V1, V2, ..., Vk, again until species names are announced -- are also linearly independent.

Based on these Eigenraptor findings, paleontologists conjecture that Asia is diagonalizable into k "extinct zones" (sometimes called the "null zones" due to the local mass extinctions that took place in them). These zones follow mountain ranges and the sum of the numbers of species in each zone adds up to the total number of species in Asia. That is, none of the species in a given zone exist in any other zone.

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