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 Number theory and hyper operators JmsNxn Long Time Fellow Posts: 291 Threads: 67 Joined: Dec 2010 08/30/2012, 05:24 PM Well. The reason I ask is because I was structuring my semi operators around the distribution of the set: $\mathbb{I}_{y} = \{ s_0 | s_0 \in \mathbb{R}\,\,;\,\,x\,\,\bigtriangleup_{s_0}\,\,y\,\,\in \mathbb{N}}$ claim that there are operators unique to x and y which allow us to perform operations on elements of $\mathbb{I}_y$ instead of operations on $\mathbb{N}$. We then say that $x\,\,\bigtriangleup_s\,\,y$ is an isomorphism from $\mathbb{I}_y \to \mathbb{N}$ Then I found out I only needed to prove the recursive identity for primitive elements of $\mathbb{I}_y$; (i.e elements that return primes in N); and then do the rest by induction and breaking up the real argument into a product of primitive elements. However; this all and all sounded plausible but I hit some huge wall. Which is proving the recursive identity for primitive elements; mostly. I have a new technique now. It may or may not work. But having more information about how $x\,\,\bigtriangleup_n\,\,y$ behaves for naturals would really help. « Next Oldest | Next Newest »

 Messages In This Thread Number theory and hyper operators - by JmsNxn - 08/30/2012, 02:49 AM RE: Number theory and hyper operators - by tommy1729 - 08/30/2012, 01:45 PM RE: Number theory and hyper operators - by JmsNxn - 08/30/2012, 05:24 PM RE: Number theory and hyper operators - by MphLee - 05/27/2013, 01:18 PM RE: Number theory and hyper operators - by MphLee - 05/25/2013, 10:15 PM RE: Number theory and hyper operators - by JmsNxn - 05/27/2013, 11:33 PM RE: Number theory and hyper operators - by MphLee - 05/28/2013, 10:40 AM RE: Number theory and hyper operators - by MphLee - 05/29/2013, 09:24 PM

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