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 the distributive property andydude Long Time Fellow Posts: 509 Threads: 44 Joined: Aug 2007 05/27/2014, 07:45 PM @MphLee Hyperoperations, in the general sense, are any sequence of binary operations that includes addition and multiplication. The commutative hyperoperations satisfy this property because $\exp^0(\ln^0(a) + \ln^0(b)) = a + b$ and $\exp^1(\ln^1(a) + \ln^1(b)) = e^{\ln(a) + \ln(b)} = e^{\ln(a)}e^{\ln(b)} = a \times b$. That formula is the starting point, it is the definition of commutative hyperoperations. The fact that it contains addition and multiplication can be discussed and proved from the definition. « Next Oldest | Next Newest »

 Messages In This Thread the distributive property - by tommy1729 - 09/25/2010, 12:05 AM RE: the distributive property - by tommy1729 - 09/28/2010, 12:22 PM RE: the distributive property - by tommy1729 - 10/13/2010, 11:07 PM RE: the distributive property - by tommy1729 - 05/23/2014, 11:12 PM RE: the distributive property - by MphLee - 05/24/2014, 09:46 AM RE: the distributive property - by tommy1729 - 05/25/2014, 12:16 AM RE: the distributive property - by MphLee - 05/25/2014, 09:35 AM RE: the distributive property - by tommy1729 - 05/26/2014, 11:37 PM RE: the distributive property - by MphLee - 05/27/2014, 07:43 AM RE: the distributive property - by tommy1729 - 05/27/2014, 12:23 PM RE: the distributive property - by MphLee - 05/27/2014, 12:46 PM RE: the distributive property - by tommy1729 - 05/27/2014, 10:49 PM RE: the distributive property - by andydude - 05/27/2014, 07:45 PM RE: the distributive property - by MphLee - 05/27/2014, 08:22 PM RE: the distributive property - by tommy1729 - 05/27/2014, 10:55 PM RE: the distributive property - by MphLee - 06/06/2014, 09:56 AM RE: the distributive property - by tommy1729 - 06/06/2014, 11:56 AM RE: the distributive property - by MphLee - 06/06/2014, 12:09 PM

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