Moving Tangent Frames
The most commonly encountered case of a moving frame is for the bundle of tangent frames (also called the frame bundle) of a manifold. In this case, a moving tangent frame on a manifold M consists of a collection of vector fields X1, X2, ..., Xn forming a basis of the tangent space at each point of an open set U ⊂ M.
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Famous quotes containing the words moving and/or frames:
“The two most far-reaching critical theories at the beginning of the latest phase of industrial society were those of Marx and Freud. Marx showed the moving powers and the conflicts in the social-historical process. Freud aimed at the critical uncovering of the inner conflicts. Both worked for the liberation of man, even though Marx’s concept was more comprehensive and less time-bound than Freud’s.”
—Erich Fromm (1900–1980)
“... though it is by no means requisite that the American women should emulate the men in the pursuit of the whale, the felling of the forest, or the shooting of wild turkeys, they might, with advantage, be taught in early youth to excel in the race, to hit a mark, to swim, and in short to use every exercise which could impart vigor to their frames and independence to their minds.”
—Frances Wright (1795–1852)