Question

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

score 103 · Answer 1 · 2026-04-16 01:31:22

103

Views

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

Published on 16 Apr 2026 - 1:31

score 103 · Answer 2 · 2026-04-13 09:44:39

103

Views

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

Published on 13 Apr 2026 - 9:44

score 327 · Answer 3 · 2026-04-09 02:19:17

327

Views

Four dimensional field over complex numbers

Published on 09 Apr 2026 - 2:19

score 151 · Answer 4 · 2026-05-10 17:19:10

151

Views

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

Published on 10 May 2026 - 17:19

score 150 · Answer 5 · 2026-03-25 22:06:39

150

Views

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

Published on 25 Mar 2026 - 22:06

score 40 · Answer 6 · 2026-04-12 05:40:27

40

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 12 Apr 2026 - 5:40

score 98 · Answer 7 · 2026-04-12 07:06:29

98

Views

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

Published on 12 Apr 2026 - 7:06

score 26 · Answer 8 · 2026-04-12 07:59:57

26

Views

Explain Polynomes With HyperComplexs

Published on 12 Apr 2026 - 7:59

score 120 · Answer 9 · 2026-03-25 19:07:18

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

score 152 · Answer 10 · 2026-03-25 19:06:11

152

Views

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

Published on 25 Mar 2026 - 19:06

score 80 · Answer 11 · 2026-03-25 20:35:52

80

Views

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

Published on 25 Mar 2026 - 20:35

score 362 · Answer 12 · 2026-04-30 15:44:29

362

Views

'Higher order' complex numbers

Published on 30 Apr 2026 - 15:44

score 143 · Answer 13 · 2026-04-10 19:22:53

143

Views

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

Published on 10 Apr 2026 - 19:22

score 270 · Answer 14 · 2026-04-30 14:04:39

270

Views

Construction of dual numbers

Published on 30 Apr 2026 - 14:04

score 601 · Answer 15 · 2026-03-25 19:00:03

601

Views

Unconventional hypercomplex numbers

Published on 25 Mar 2026 - 19:00

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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