this is for holding javascript data
Benedict Irwin edited Splitting the Num.tex
almost 10 years ago
Commit id: cf5c2c8b6fad739aff50e193b439e02ee19724ed
deletions | additions
diff --git a/Splitting the Num.tex b/Splitting the Num.tex
index f728a14..d00c948 100644
--- a/Splitting the Num.tex
+++ b/Splitting the Num.tex
...
\end{equation}
which are $\theta=0,180$ which correspond to the normal number line, (both components fold in) and the mod of the number line $|n \in \mathbb{R}|$ (the normal negative component folds onto the real part).
There exist non symmetric
(Irwin-Worthy, lololol) (Irwin-Worthy) solutions to the equation \begin{equation}
4cos^2(\theta)cos^2(\varphi) = cos^2(\theta)+2cos(\theta)cos(\varphi)+cos^2(\varphi)\\
4(cos(\theta)cos(\varphi))^2=(cos(\theta)+cos(\varphi))^2
...
\end{array}
\end{equation}
There is a suggested set of angles in which $\theta=\varphi=\frac{\pi}{3}$ for symmetric properties by R.Garner. The only symmetric
(Garnerian) (Garner) solutions appear to be 0 and 180 degree angles.
If one required the numbers to be held on the complex plane then the basis elements are \begin{equation}
\hat{e_{-}} = -\hat{e_{+}}\exp(i\theta) \\