List questions from quaternions

140

Views

For Ring of Quaternions, does $a + bi +cj + dk = 0$ imply $a,b,c,d = 0$, where $a,b,c,d \in \mathbb R$?

Published on 10 Feb 2023 - 17:18

47

Views

Is the computation of quaternions faster and less prone to rounding errors than the computation of attitude matrices?

Published on 13 Feb 2023 - 14:43

108

Views

Function to approximate infinite series $\sum_{n=0}^\infty (-1)^n \frac{x^{2n}}{(2n+1)!}$

Published on 23 Feb 2026 - 8:24

46

Views

Squared multiplication of Quaternion

Published on 17 Feb 2023 - 13:27

63

Views

Compute the Jacobson radical in Quaternion Algebras

Published on 20 Feb 2023 - 5:29

31

Views

Cardinality of conjugation of indefinite quaternion algebra over $\mathbb{Q}$

Published on 21 Feb 2023 - 7:51

62

Views

Quaternion - calibration sensor

Published on 26 Mar 2026 - 10:57

26

Views

What surfaces can you define can as the image of a quaternion polynomial?

Published on 27 Feb 2023 - 20:49

115

Views

Derivation of quaternion logarithm

Published on 27 Feb 2023 - 23:09

739

Views

Functions without complex roots, but with quaternion roots

Published on 28 Feb 2023 - 21:33

830

Views

Distribution of distances between random points on spheres

Published on 22 Mar 2026 - 7:45

86

Views

Quaternion division rings in characteristic $0$

Published on 29 Mar 2026 - 5:49

56

Views

Is it possible to multiply a quaternion by a $3\times 3$ matrix?

Published on 10 Mar 2023 - 5:00

87

Views

Ideals of the Lipschitz quaternions

Published on 30 Mar 2026 - 11:25

75

Views

Two dimensional representation of $Q_8$

Published on 13 Mar 2023 - 13:04

List Question

For Ring of Quaternions, does $a + bi +cj + dk = 0$ imply $a,b,c,d = 0$, where $a,b,c,d \in \mathbb R$?

Is the computation of quaternions faster and less prone to rounding errors than the computation of attitude matrices?

Function to approximate infinite series $\sum_{n=0}^\infty (-1)^n \frac{x^{2n}}{(2n+1)!}$

Squared multiplication of Quaternion

Compute the Jacobson radical in Quaternion Algebras

Cardinality of conjugation of indefinite quaternion algebra over $\mathbb{Q}$

Quaternion - calibration sensor

What surfaces can you define can as the image of a quaternion polynomial?

Derivation of quaternion logarithm

Functions without complex roots, but with quaternion roots

Distribution of distances between random points on spheres

Quaternion division rings in characteristic $0$

Is it possible to multiply a quaternion by a $3\times 3$ matrix?

Ideals of the Lipschitz quaternions

Two dimensional representation of $Q_8$

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