Isotropy
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In physics and geometry, isotropy is uniformity in all orientations. Precise definitions depend on the subject area. Exceptions, or inequalities, are frequently indicated by the prefix a- or an-, henc
This sand grain made of volcanic glass is isotropic, and thus stays extinct when rotated between polarization filters on a petrographic microscope
Manifold
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In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point. More precisely, an n -dimensional manifold, or n -manifold for short, is a topological space w
Isotropy
…action regardless of how the test particle is oriented. Mathematics Within mathematics, isotropy has a few different meanings: Isotropic manifolds A manifold is isotropic if the geometry on the manifold is the same regardless of direction. A similar concept is homogeneity. Isotropic quadratic form A quadratic…
The surface of the Earth requires (at least) two charts to include every point without plotting the same point more than once on the same chart. Here the globe is decomposed into charts around the North and South Poles.