List questions from split-complex-numbers | MathQA

Is the Cauchy-Goursat theorem or even the homotopic invariance theorem valid for fields other than $\Bbb C$ which are similar to $\Bbb R^2$?

Published on 19 Sep 2021 - 11:51

How do you explain intuitively that in split-complex numbers, $0^{\frac12+\frac{j}2}=\frac12-\frac{j}2$ and $0^{\frac12-\frac{j}2}=\frac12+\frac{j}2$?

Published on 02 Oct 2021 - 14:11

What is $\sqrt{-1}$ (or $\sqrt{-j}$) in the Hyperbolic (Split-complex) Numbers?

Published on 25 May 2022 - 14:14

Relationship between tessarines, complex numbers and split-complex numbers (and between tessarines, complex numbers and (complex numbers) themselves)

Published on 09 Jul 2022 - 2:03

Plotting tessarines in (pseudo-Euclidean) $R^{2,2}$ or $C^{1,1}$; conventions around which axes correspond to which signs in the metric signature

Published on 09 Jul 2022 - 2:44

Can split-complex numbers be compared?

Published on 02 Nov 2022 - 19:17