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Orders in quaternion algebras

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#quaternions #noncommutative-algebra
409
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How can I interpret quaternion orientation into compass heading angles?

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#trigonometry #quaternions
89
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Is there any practical use for octonions?

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#quaternions #applications #hamilton-equations #octonions #hypercomplex-numbers
115
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Every order in a finite-dimensional $\mathbb{Q}$-algebra is contained in a maximal order

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#quaternions #noncommutative-algebra
390
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find quaternion to rotate a point towards another point in 3d space

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#3d #rotations #quaternions
37
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Show that this optimization problem has a closed form solution or at least it's convex

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#geometry #optimization #convex-optimization #quaternions
61
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Commutate a Quaternion multiplication

Published on
#quaternions #noncommutative-algebra
137
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Basis of the matrix representation of a quaternion

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#matrices #group-theory #rotations #quaternions #symmetry
99
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Unitary groups and special unitary groups

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#group-theory #complex-numbers #quaternions #symmetry #unitary-matrices
44
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Numeric system where iterated square roots of 1 have integer parts

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#complex-numbers #quaternions #clifford-algebras #hypercomplex-numbers
52
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Geodesic of quaternion swings vs vector angle

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#quaternions #angle #geodesic
204
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Have generalisations of dual numbers/complex numbers/quaternions/octonions... been studied?

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#group-theory #quaternions #number-systems #octonions #dual-numbers
114
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Problems with Vignéras' proof of Skolem-Noether th. in "Arithmétiques des Algèbres de Quaternions"

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#abstract-algebra #modules #quaternions #morphism
141
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A set of "Cauchy-Riemann" conditions for quaternion function?

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#analysis #quaternions #cauchy-riemann-equations
28
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Most elegant quaternionic function that is odd and multiplicative

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#real-analysis #abstract-algebra #analysis #quaternions

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