Ordering in \bbold{C}

2010-03-28 Thread James Cloos
Some time ago there was a thread disucssing numeric ordering issues; the fact that ℂ lacks an ordering was part of that discussion. A recent paper on arxiv proposes inflicting an ordering on ℂ using: ,< excerpt from http://arxiv.org/abs/1003.4906 > | | Given A = a₁ + i·a₂ and B = b₁ + i·b₂, t

Re: Ordering in \bbold{C}

2010-03-28 Thread Minimiscience
On Mar 28, 2010, at 3:09 PM, James Cloos wrote: | Given A = a₁ + i·a₂ and B = b₁ + i·b₂, then: | | A ≤ B if a₁ < b₁ || ( a₁ == b₁ && a₂ ≤ b₂ ) | A ≥ B if a₁ < b₁ || ( a₁ == b₁ && a₂ ≥ b₂ ) Assuming that the last line should be "A ≥ B if a₁ > b₁ ...", this is called lexicographic ordering, a

r30231 - docs/Perl6/Spec

2010-03-28 Thread pugs-commits
Author: lue Date: 2010-03-29 01:07:56 +0200 (Mon, 29 Mar 2010) New Revision: 30231 Modified: docs/Perl6/Spec/S03-operators.pod Log: [docs/Perl6/Spec] Fixed a P5 muscle-memory error Modified: docs/Perl6/Spec/S03-operators.pod === -

Re: Ordering in \bbold{C}

2010-03-28 Thread Darren Duncan
I was actually thinking, during the previous thread involving Complex numbers ... It may not have any practical use, but if one wanted to define an ordering for complex numbers that was deterministic and relatively unbiased, a way to do this would be based on what I'll call for now the "spiral

r30235 - docs/Perl6/Spec/S32-setting-library

2010-03-28 Thread pugs-commits
Author: vamped Date: 2010-03-29 06:30:14 +0200 (Mon, 29 Mar 2010) New Revision: 30235 Modified: docs/Perl6/Spec/S32-setting-library/Str.pod Log: Perl 5 thinko - changed to bash for first regex match Modified: docs/Perl6/Spec/S32-setting-library/Str.pod