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Sample random high-dimensional rotation, of bounded angle

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#linear-transformations #lie-groups #rotations #random #sampling
28
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rotating an airplane thats pitched 10 degrees nose up, to the left.

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#trigonometry #rotations
230
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Is there a closed form solution for the camera position seeing points?

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#rotations #projection #computer-vision
165
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Concatenating a series of rotation quaternions resulting from local angular velocities

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#linear-algebra #geometry #rotations #quaternions
113
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When does the rotation number fails to exist?

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#dynamical-systems #rotations #covering-spaces
142
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How to determine the rate of change in a rotating system?

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#calculus #vectors #rotations
92
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Why use Euler Angles

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#rotations
1.4k
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Prove that the rotational matrix is equivalent to the direction cosines matrix

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#rotations #change-of-basis
59
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Matrix representation after change of basis

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#linear-algebra #matrices #rotations #change-of-basis #wolfram-alpha
614
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Infinitesimal rotation matrix close to the identity

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#linear-algebra #linear-transformations #rotations
45
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Local parametrization, the half-sphere ${S^3}_+$ and rotations

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#differential-topology #rotations #quaternions #parametrization
170
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Invariance of $SO(3)$ Lie group when expressed via Euler angles

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#lie-groups #rotations #invariant-theory
101
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How do can I use quaternions to find the centroid of a right triangle drawn on a sphere?

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#geometry #rotations #quaternions
73
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Is this relation true for orthonormal matrices elements?

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#linear-algebra #matrices #rotations #orthogonal-matrices
561
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Find rotations about x,y,z such that

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#rotations

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