Holomorphic semi operators, using the beta method

[tommy1729]

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Where we have the identity: \(x<k>(x<k+1>y) = x<k+1> y+1\). Good ol fashioned hyper-operators.

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You should be able to construct an implicit solution to the equation:

\[
x <s> (x<s+1>y) = x <s+1> y+1\\
\]

For all \(x \in \mathbb{C}/\mathcal{E}\) and \(y \in \mathcal{W} + \mathbb{Z}\)--where \(\mathcal{E}\) is measure zero in \(\mathbb{R}^2\).


I mean, this problem is really solved if you think of it implicitly. We are just varying \(\mu,\lambda\) until we find a solution to the above equation while we freely move \(s\). This is very fucking difficult to do. I have not done it, as this would require a good 20 pages of work, but it is definitely possible. I may come back to this, but for the moment my brain is switching to PDE/ODE territory, and this type of research is secondary.

Regards, James

But now you tell me you do not want left distributive ? 

BUT That equation IS left distributive ?

So you do not want to satisfy that equation ??

Then why mention it and what do you want to satisfy ? And why ??

Im confused.