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Does there exist a positive integer $n$ such that $P^n = I$, where $P$ is a rotation matrix?

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#linear-algebra #matrices #rotations #irrational-numbers #rational-numbers
48
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Rotation angle of the composition of two reflections in $\mathbb{R}^3$

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#linear-algebra #matrices #rotations
104
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Question about the Solution to the Moving Sofa Problem

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#geometry #conic-sections #rotations
1.2k
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Rotated ellipse - calculate points with an absolute angle

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#rotations #parametric #elliptic-equations
55
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Calculating heading error in different ways leads to different results in Matlab, why?

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#matlab #rotations #quaternions #orientation
33
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Finding a certain rotation matrix

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#rotations
228
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Equivalent Euler angles when changing the rotation order

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#rotations
40
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Definition of rotations of vectors

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#linear-algebra #matrices #lie-groups #rotations
1.4k
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Difference between $\mathrm{rot}$ and $\mathrm{Rot}$ (Curl)

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#rotations #vector-fields
107
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How to find 4D simple Rotation matrix

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#linear-algebra #matrices #geometry #rotations
43
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Find Fixed Plane of 4D Simple Rotation

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#linear-algebra #matrices #geometry #rotations
50
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Find the matrix of the rotation matrix $U$

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#linear-algebra #inner-products #rotations #orthogonal-matrices
406
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Why the product of at most $n(n-1)/2$ Givens rotations can represent a rotation matrix?

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#linear-algebra #numerical-linear-algebra #rotations #orthogonal-matrices
495
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Rotation solid generated by $\sin{x}$ around y axis

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#real-analysis #integration #volume #rotations
668
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How to understand Gimbal Lock?

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#matrices #rotations #angle

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