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Bicomplex helpers - Printable Version +- Tetration Forum (https://tetrationforum.org) +-- Forum: Tetration and Related Topics (https://tetrationforum.org/forumdisplay.php?fid=1) +--- Forum: Mathematical and General Discussion (https://tetrationforum.org/forumdisplay.php?fid=3) +--- Thread: Bicomplex helpers (/showthread.php?tid=1037) |
Bicomplex helpers - tommy1729 - 11/25/2015 I started using bicomplex numbers instead of complex Numbers. The reason is that for most complex Numbers , continue iterations result in loops. We use as norm for the bicomplex numbers the complex Numbers. For instance : Avoid a fixpoint for x^2 , start with complex norm 1. J^2 = 1. We use (1/3 + 2/3 j)^2 = 5/9 + 4/9 j. Thus not a fixpoint ! But both lhs and rhs has norm 1. This is powerful. Regards Tommy1729 RE: Bicomplex helpers - tommy1729 - 11/25/2015 See http://math.eretrandre.org/tetrationforum/showthread.php?tid=499 Regards Tommy1729 |