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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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