Re: [math-fun] Smallest term in Zeckendorf representation
<< What you presumably are interested in is a continuous extension whichs in some way "natural", as in factorial vis-a-vis Gamma function.
Does the Fibonacci multiplication (which Knuth denotes with just a circle: x o y) have a continuous extension to the positive reals that remains commutative and associative ?
A natural extension would be nice, but for now I'm interested in a continuous extension to the positive reals that remains commutative and associative. --Dan _____________________________________________________________________ "It don't mean a thing if it ain't got that certain je ne sais quoi." --Peter Schickele
On Sun, 18 May 2008, Dan Asimov wrote:
<< What you presumably are interested in is a continuous extension whichs in some way "natural", as in factorial vis-a-vis Gamma function.
Does the Fibonacci multiplication (which Knuth denotes with just a circle: x o y) have a continuous extension to the positive reals that remains commutative and associative ?
A natural extension would be nice, but for now I'm interested in a continuous extension to the positive reals that remains commutative and associative.
More generally, exactly what are the possible topological semigroups on the real line? Someone must have figured this out.
participants (2)
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Dan Asimov -
Edwin Clark