Question

Square root of dual number

score 282 · Answer 1 · 2026-05-10 22:28:47

282

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Square root of dual number

Published on 10 May 2026 - 22:28

score 63 · Answer 2 · 2026-03-25 23:39:20

63

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Which books/papers are good source for the concept of dual numbers over a ring?

Published on 25 Mar 2026 - 23:39

score 109 · Answer 3 · 2026-03-25 20:41:02

109

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Quantifying which properties are lost in Cayley–Dickson constructions?

Published on 25 Mar 2026 - 20:41

score 201 · Answer 4 · 2026-03-25 20:35:54

201

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Inverse of Grassmann variables

Published on 25 Mar 2026 - 20:35

score 94 · Answer 5 · 2026-03-25 20:35:34

94

Views

Mapping from dual numbers to real numbers

Published on 25 Mar 2026 - 20:35

score 139 · Answer 6 · 2026-03-25 23:36:01

139

Views

Is this 3-dimensional split-complex numbers system viable? What are the properties?

Published on 25 Mar 2026 - 23:36

score 140 · Answer 7 · 2026-03-25 23:37:36

140

Views

From algebraic point of view, what are the similarities and differences between these two hypercomplex systems?

Published on 25 Mar 2026 - 23:37

score 261 · Answer 8 · 2026-03-25 19:02:09

261

Views

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

Published on 25 Mar 2026 - 19:02

score 325 · Answer 9 · 2026-03-25 22:03:05

325

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If Complex Numbers Describe a Circle and Split-complex Numbers Describe a Hyperbola, Can One Make a Hypercomplex Number System to Describe any Shape?

Published on 25 Mar 2026 - 22:03

score 64 · Answer 10 · 2026-04-27 15:57:44

64

Views

What comes in the next several K-D steps after the sedenions, and what is lost?

Published on 27 Apr 2026 - 15:57

score 556 · Answer 11 · 2026-03-26 01:10:41

556

Views

Anti-dual numbers and what are their properties?

Published on 26 Mar 2026 - 1:10

score 355 · Answer 12 · 2026-03-25 23:36:07

355

Views

Why we cannot divide one zero divisor by another one? Or can we?

Published on 25 Mar 2026 - 23:36

score 216 · Answer 13 · 2026-05-06 06:01:17

216

Views

What are the properties of this new characteristic of mathematical objects?

Published on 06 May 2026 - 6:01

score 70 · Answer 14 · 2026-03-25 20:36:20

70

Views

Were these hypercomplex number sets already defined in the literature for some $n\neq 3$? Are they associative?

Published on 25 Mar 2026 - 20:36

score 330 · Answer 15 · 2026-03-25 19:02:08

330

Views

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

Published on 25 Mar 2026 - 19:02

List Question

Square root of dual number

Which books/papers are good source for the concept of dual numbers over a ring?

Quantifying which properties are lost in Cayley–Dickson constructions?

Inverse of Grassmann variables

Mapping from dual numbers to real numbers

Is this 3-dimensional split-complex numbers system viable? What are the properties?

From algebraic point of view, what are the similarities and differences between these two hypercomplex systems?

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

If Complex Numbers Describe a Circle and Split-complex Numbers Describe a Hyperbola, Can One Make a Hypercomplex Number System to Describe any Shape?

What comes in the next several K-D steps after the sedenions, and what is lost?

Anti-dual numbers and what are their properties?

Why we cannot divide one zero divisor by another one? Or can we?

What are the properties of this new characteristic of mathematical objects?

Were these hypercomplex number sets already defined in the literature for some $n\neq 3$? Are they associative?

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

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