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)
“A set of ideas, a point of view, a frame of reference is in space only an intersection, the state of affairs at some given moment in the consciousness of one man or many men, but in time it has evolving form, virtually organic extension. In time ideas can be thought of as sprouting, growing, maturing, bringing forth seed and dying like plants.”
—John Dos Passos (1896–1970)