In mathematics, a moving frame is a flexible generalization of the notion of an ordered basis of a vector space often used to study the extrinsic differential geometry of smooth manifolds embedded in a homogeneous space.
Read more about Moving Frame: Introduction, Method of The Moving Frame, Moving Tangent Frames, Applications
Famous quotes containing the words moving and/or frame:
“Imagination could hardly do without metaphor, for imagination is, literally, the moving around in one’s mind of images, and such images tend commonly to be metaphoric. Creative minds, as we know, are rich in images and metaphors, and this is true in science and art alike. The difference between scientist and artist has little to do with the ways of the creative imagination; everything to do with the manner of demonstration and verification of what has been seen or imagined.”
—Robert A. Nisbet (b. 1913)
“Predictions of the future are never anything but projections of present automatic processes and procedures, that is, of occurrences that are likely to come to pass if men do not act and if nothing unexpected happens; every action, for better or worse, and every accident necessarily destroys the whole pattern in whose frame the prediction moves and where it finds its evidence.”
—Hannah Arendt (1906–1975)