Question

Is there any situation where $x^2 \not= \sqrt{x^4}$

score 100 · Answer 1 · 2021-02-07 22:49:20

100

Views

Is there any situation where $x^2 \not= \sqrt{x^4}$

Published on 07 Feb 2021 - 22:49

score 100 · Answer 2 · 2021-02-13 12:06:39

100

Views

Is $(-1)^{\varepsilon}=1+i\pi \varepsilon$?

Published on 13 Feb 2021 - 12:06

score 324 · Answer 3 · 2021-02-22 06:46:51

324

Views

Four dimensional field over complex numbers

Published on 22 Feb 2021 - 6:46

score 150 · Answer 4 · 2026-03-25 07:41:01

150

Views

Nonassociative algebra's closed under $\sqrt{}$?

Published on 25 Mar 2026 - 7:41

score 149 · Answer 5 · 2021-04-12 20:41:51

149

Views

What is the argument of the split-complex number? Is it the hyperbolic angle of the number's vector?

Published on 12 Apr 2021 - 20:41

score 37 · Answer 6 · 2021-04-13 01:31:05

37

Views

Can the traditional space of Euclidean vectors (with dot and cross products) be extended to be algebra over reals and what properties would it have?

Published on 13 Apr 2021 - 1:31

score 95 · Answer 7 · 2021-04-19 17:06:24

95

Views

Why does the dual component of a dual number represent the derivative?

Published on 19 Apr 2021 - 17:06

score 23 · Answer 8 · 2021-06-21 14:12:38

23

Views

Explain Polynomes With HyperComplexs

Published on 21 Jun 2021 - 14:12

score 119 · Answer 9 · 2021-10-02 14:11:00

119

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 02 Oct 2021 - 14:11

score 151 · Answer 10 · 2021-11-09 03:39:06

151

Views

A controversy regarding the generalization of the Sign function to dual numbers

Published on 09 Nov 2021 - 3:39

score 79 · Answer 11 · 2022-01-13 08:25:12

79

Views

How to obtain heypercomplex numbers by an operation over complex numbers?

Published on 13 Jan 2022 - 8:25

score 360 · Answer 12 · 2022-02-13 03:56:46

360

Views

'Higher order' complex numbers

Published on 13 Feb 2022 - 3:56

score 140 · Answer 13 · 2022-02-13 14:21:46

140

Views

Can $\mathbb{R}^3$ with Hadamard product be represented as matrices?

Published on 13 Feb 2022 - 14:21

score 268 · Answer 14 · 2022-03-13 13:47:08

268

Views

Construction of dual numbers

Published on 13 Mar 2022 - 13:47

score 600 · Answer 15 · 2022-03-28 10:53:38

600

Views

Unconventional hypercomplex numbers

Published on 28 Mar 2022 - 10:53

List Question

Is there any situation where $x^2 \not= \sqrt{x^4}$

Is $(-1)^{\varepsilon}=1+i\pi \varepsilon$?

Four dimensional field over complex numbers

Nonassociative algebra's closed under $\sqrt{}$?

What is the argument of the split-complex number? Is it the hyperbolic angle of the number's vector?

Can the traditional space of Euclidean vectors (with dot and cross products) be extended to be algebra over reals and what properties would it have?

Why does the dual component of a dual number represent the derivative?

Explain Polynomes With HyperComplexs

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

A controversy regarding the generalization of the Sign function to dual numbers

How to obtain heypercomplex numbers by an operation over complex numbers?

'Higher order' complex numbers

Can $\mathbb{R}^3$ with Hadamard product be represented as matrices?

Construction of dual numbers

Unconventional hypercomplex numbers

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