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Rotate by unit quaternion (log and exp)

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#logarithms #exponential-function #rotations #quaternions
186
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Do quaternions follow the rule for simplifying logarithms of products?

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#logarithms #quaternions
901
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Hurwitz Theorem Composition Algebras Proof

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#abstract-algebra #group-theory #complex-numbers #finite-groups #quaternions
242
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find quaternion scalar from end points of the rotation

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#3d #rotations #quaternions
76
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Quaternion - express vector from difference

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#quaternions
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Quaternionic projective space and homotopy groups of spheres

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#algebraic-topology #homotopy-theory #quaternions #projective-space #fiber-bundles
117
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Determinant of a matrix corresponding to a linear mapping $T:V \to V$ is positive

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#lie-groups #determinant #linear-transformations #quaternions
62
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Integer solutions of Quaterni0n norm

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#diophantine-equations #quaternions
44
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Expression transformation using quaternion

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#quaternions
31
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Similarity of some vectors

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#linear-algebra #matrices #matrix-calculus #matrix-rank #quaternions
237
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Complexification of a field

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#abstract-algebra #ring-theory #quaternions
3k
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Relationship between Spin(3), SU(2), unit quaternions, and SO(3)

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#group-theory #group-isomorphism #quaternions
120
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Geometric understanding of "Pauli vector" determinant?

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#representation-theory #determinant #quadratic-forms #quaternions #clifford-algebras
61
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How to apply a delta Euler angle after a set of Euler angles while maintaining revolutions?

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#linear-transformations #rotations #quaternions
55
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Voight's Quaternion Algebras, Corollary 7.1.2

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#abstract-algebra #quaternions #algebras

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