(09/05/2011, 11:50 PM)tommy1729 Wrote: yes that works for 2 a's ...
but not for 3 ...
:s
that's my point!
You cannot have an operator that works for all n a's, only at fix points
Quote:Voila! this proves you cannot have an associative and commutative operator who's super operator is addition.reread my proof.
the one that works for three is:
\( a\,\bigtriangleup_{3^{\frac{1}{3}}}^{-1}\,b\,=\log_{3^{\frac{1}{3}}}(3^{\frac{a}{3}} + 3^{\frac{b}{3}}) \)

