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Analogue of complex infinity for quaternions

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#number-theory #complex-numbers #infinity #riemann-surfaces #quaternions
2.4k
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Rotation matrix to quaternion implementation

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#geometry #matlab #rotations #quaternions
336
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How do you calculate the vertical angle from a 3d rotation matrix or a quaternion?

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#rotations #quaternions
514
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Wedge Product on $C\ell^+(0,3,0)$ Relationship to Quaternion Cross Product

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#quaternions #exterior-algebra #cross-product #clifford-algebras #geometric-algebras
939
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Point in Coordinate System A, how to find its location in Coordinate System B?

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#geometry #trigonometry #coordinate-systems #rotations #quaternions
922
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Why (pure) imaginary quaternions are the orthogonal complement to the real quaternions?

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#lie-groups #quaternions
919
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'Zeroing' a rotation, Quaternion inversion

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#rotations #quaternions
467
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Improper Quaternion value derived from the difference of Euler Angles?

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#rotations #quaternions #angle
106
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Intuitive explanation of connectdness in relation to SO(3) and 3-sphere

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#differential-geometry #algebraic-topology #quaternions
567
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Quaternionic analysis motivation

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#quaternions
1.3k
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How to calculate quaternions from principal axes of an ellipsoid?

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#quaternions
109
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Show that $ \text{Tr} ( XYXZ) = \text{Tr}(XY) \text{Tr}(XZ) - \text{Tr}( YZ^{-1} ) $

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#linear-algebra #eigenvalues-eigenvectors #quaternions
1.3k
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Zeta function generalized to quaternions?

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#complex-analysis #number-theory #riemann-zeta #quaternions
1k
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What is the motivation for the development of dual numbers?

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#complex-numbers #math-history #quaternions #clifford-algebras
145
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What does $F^{\times 2}$ mean, for $F$ Field

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#field-theory #notation #quaternions

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