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:
“The will is one of the chief factors in belief, not that it creates belief, but because things are true or false according to the aspect in which we look at them. The will, which prefers one aspect to another, turns away the mind from considering the qualities of all that it does not like to see; and thus the mind, moving in accord with the will, stops to consider the aspect which it likes and so judges by what it sees.”
—Blaise Pascal (1623–1662)
“Whenever the society is dissolved, it is certain the government of that society cannot remain ... that being as impossible, as for the frame of a house to subsist when the materials of it are scattered and dissipated by a whirlwind, or jumbled into a confused heap by an earthquake.”
—John Locke (1632–1704)