Question

Square root of dual number

score 280 · Answer 1 · 2022-04-13 06:33:24

280

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Square root of dual number

Published on 13 Apr 2022 - 6:33

score 62 · Answer 2 · 2022-04-13 06:44:39

62

Views

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

Published on 13 Apr 2022 - 6:44

score 108 · Answer 3 · 2022-04-16 08:04:32

108

Views

Quantifying which properties are lost in Cayley–Dickson constructions?

Published on 16 Apr 2022 - 8:04

score 200 · Answer 4 · 2022-04-25 09:45:14

200

Views

Inverse of Grassmann variables

Published on 25 Apr 2022 - 9:45

score 93 · Answer 5 · 2022-04-28 11:21:25

93

Views

Mapping from dual numbers to real numbers

Published on 28 Apr 2022 - 11:21

score 138 · Answer 6 · 2022-05-14 08:07:59

138

Views

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

Published on 14 May 2022 - 8:07

score 139 · Answer 7 · 2022-05-18 13:47:21

139

Views

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

Published on 18 May 2022 - 13:47

score 260 · Answer 8 · 2022-05-25 14:14:28

260

Views

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

Published on 25 May 2022 - 14:14

score 324 · Answer 9 · 2022-05-27 13:48:26

324

Views

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 27 May 2022 - 13:48

score 58 · Answer 10 · 2026-03-16 21:21:47

58

Views

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

Published on 16 Mar 2026 - 21:21

score 555 · Answer 11 · 2022-06-07 02:31:20

555

Views

Anti-dual numbers and what are their properties?

Published on 07 Jun 2022 - 2:31

score 354 · Answer 12 · 2022-06-11 16:03:54

354

Views

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

Published on 11 Jun 2022 - 16:03

score 213 · Answer 13 · 2026-02-23 13:45:55

213

Views

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

Published on 23 Feb 2026 - 13:45

score 69 · Answer 14 · 2022-06-28 12:02:33

69

Views

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

Published on 28 Jun 2022 - 12:02

score 329 · Answer 15 · 2022-07-09 02:03:44

329

Views

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

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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