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Orientation in five dimensions

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#linear-algebra #geometry #euclidean-geometry #orientation
140
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Criterion for being in a non-orientable 3 manifold?

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#differential-geometry #manifolds #orientation #non-orientable-surfaces
5.8k
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How do I compare the (quaternion) orientation of two objects and specify different tolerances along each local axis?

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#quaternions #orientation
133
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Existence af a Frame on the Klein Bottle

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#differential-geometry #smooth-manifolds #vector-fields #orientation #non-orientable-surfaces
360
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Immersion of non-orientable manifold in a small orientable one

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#differential-geometry #manifolds #smooth-manifolds #orientation #non-orientable-surfaces
117
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If $\omega \in \Omega^{n-1}(M)$ then $d_p\omega = 0$ at some $p \in M$.

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#smooth-manifolds #orientation #de-rham-cohomology
121
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Orientability of an n dimensional manifold

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#algebraic-topology #manifolds #orientation
1.9k
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What is an orientation of a surface

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#calculus #surfaces #orientation
69
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Find rotation matrix for oriented robotic arm

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#coordinate-systems #rotations #orientation
39
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Orientation of the sum of displaced 2d gaussians

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#fourier-analysis #image-processing #orientation
221
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Working with the homological definition of orientation

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#homology-cohomology #orientation
194
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How to define orientation mapping for parametrization of a 1-manifold in a 1 dimensional space

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#integration #smooth-manifolds #orientation
102
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What's the group with 2 elements: one for even permutations and one for odd permutations (on $n$ points)? How to construct it?

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#group-theory #vector-spaces #simplex #orientation
607
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Help to correct answer: Product of orientable manifolds is orientable

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#differential-geometry #manifolds #riemannian-geometry #smooth-manifolds #orientation
346
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Continuity of the pointwise orientation on a manifold

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#differential-topology #fiber-bundles #orientation

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