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6 Math.TechQA.Club 2026-03-25 19:07:20
144
Views

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 25 Mar 2026 - 19:07
#real-analysis #complex-analysis #split-complex-numbers
120
Views

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 25 Mar 2026 - 19:07
#abstract-algebra #algebra-precalculus #intuition #hypercomplex-numbers #split-complex-numbers
262
Views

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

Published on 11 May 2026 - 3:00
#complex-numbers #radicals #hypercomplex-numbers #split-complex-numbers
331
Views

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

Published on 11 May 2026 - 3:01
#complex-numbers #terminology #hypercomplex-numbers #split-complex-numbers
106
Views

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 11 May 2026 - 2:04
#complex-numbers #coordinate-systems #semi-riemannian-geometry #hypercomplex-numbers #split-complex-numbers
66
Views

Can split-complex numbers be compared?

Published on 25 Mar 2026 - 19:00
#split-complex-numbers
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