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Reference.org
Moving frame
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, a moving frame is a flexible generalization of the notion of a <a href="/facts/Coordinate_frame/Mtd0q4SP">coordinate frame</a> (an <a href="/facts/Ordered_basis/89IPoN6c">ordered basis</a> of a <a href="/facts/Vector_space/M1pxMLx2">vector space</a>, in conjunction with an <a href="/facts/Origin_(mathematics)/Lm26tRCB">origin</a>) often used to study the <a href="/facts/Differential_geometry/c04XmyLu">extrinsic differential geometry</a> of <a href="/facts/Smooth_manifold/aSnbXKcV">smooth manifolds</a> embedded in a <a href="/facts/Homogeneous_space/YGebqcJA">homogeneous space</a>. </p>