Re: a_n such that a_n * a_n := a_n, a_n * a_m := G for any m not n. Multiplication continues to be defined commutative and associative, and distributes overjohnashuster
Hi John - thanks for sharing your eBook! You've got quite some philosohpical ambitions, I'd like to see whether I understood the math right. You could think ofjens_koeplinger
Dear Hypercomplex Group Members and Viewers: Recently I felt compelled to make a little ebook out of that 2010-11 work I did on nuReal space (see Messagejohnashuster
For a GLOSSARY OF TERMS used here see under "Database" > "GLOSSARY".
Typically, the term "hypercomplex number" refers to number systems with dimensionality (axes), and there are quite a few of those; like e.g. Kantor & Solodovnikovs hypercomplex numbers, types of quaternions, octonions, sedenions, and Cayley-Dickson constructs, split-complex types (including split-octonions), dual numbers, Musean hypernumbers (after C. Musès), multicomplex numbers e.g. after G. Baley Price, and more. Some algebraic programs (like e.g. Clifford or Lie algebras) are also at times considered hypercomplex number programs.
Posts about extensions of natural numbers (like e.g. transfinite and surreal numbers) or real numbers (like e.g. hyperreal or Burgin's hypernumbers) are also welcome here.
The ultimate goal of this discussion would be to find the widest possible understanding of number and their associated arithmetic. Speculations and ideas are most welcome here, even if they may at the beginning not be clearly defined or might not work initially; we will be attempting to look at them and see over time whether a certain speculation or idea works or not.
You may find more information on certain programs in the "Links" and "Files" section (e.g. definitions, terminology, links to external resources).
PLEASE NOTE: Feel free to HIDE your e-mail address, but all posts are PUBLIC (non-members can read). Any post that contains DEROGATORY TERMS or DISRESPECTFUL LANGUAGE will be DELETED. Please let me know ASAP if you see such a post. Thanks, Jens Koeplinger
- Aug 29, 2006
- This is a restricted group.
- Attachments are permitted.
- Members can hide email address.
- Listed in Yahoo Groups directory.
- Membership requires approval.
- Messages are not moderated.
- All members can post messages.