Timeline for Why are so few operations with arity bigger than 2?
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| Jan 26 at 11:08 | history | made wiki | Post Made Community Wiki by Stefan Kohl♦ | ||
| May 12, 2017 at 17:32 | history | edited | Michael Hardy | CC BY-SA 3.0 |
added 20 characters in body
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| Feb 6, 2012 at 21:00 | comment | added | Jean-Philippe Burelle | @William While I agree for the average, the cross-ratio is really a "basic operation" in projective space, where sums and products have no meaning. | |
| Apr 27, 2011 at 8:52 | comment | added | William DeMeo | I don't agree that these are examples. The question asks for algebras with operations of arity greater than two. In these two examples, the algebras are presumably the real numbers (1st example) or complex numbers (2nd example) with basic operations of addition, multiplication, etc. The average and cross-ratios are "term operations" or "polynomials" (depending on whose terminology you like) in these algebras -- they are not basic operations. You analysts might feel I'm being pedantic :) but I really don't think these examples answer the question. | |
| Dec 15, 2010 at 15:43 | comment | added | Michael Hardy | Maybe one could argue that I what I was "representing" was geometry, and then Harry Gindi wouldn't have to resent it. | |
| Dec 15, 2010 at 12:47 | comment | added | Harry Gindi | I realize. I was just playing off of Adam's comment. | |
| Dec 15, 2010 at 11:43 | comment | added | Todd Trimble | Analysis? Both operations are thoroughgoingly algebraic. Introduce some limiting procedure somewhere to get analysis. | |
| Dec 15, 2010 at 11:27 | comment | added | Harry Gindi | I resent analysis in this algebra laden topic =P. | |
| Dec 15, 2010 at 8:01 | comment | added | Adam Hughes | +1 for two such great examples, and for representing analysis in an algebra-laden topic. | |
| Dec 14, 2010 at 21:59 | history | answered | Michael Hardy | CC BY-SA 2.5 |