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)
“she drew back a while,
Then, yielding to the irresistible joy,
With frantic gesture and short breathless cry
Folded his frame in her dissolving arms.
Now blackness veiled his dizzy eyes, and night
Involved and swallowed up the vision; sleep,
Like a dark flood suspended in its course,
Rolled back its impulse on his vacant brain.”
—Percy Bysshe Shelley (1792–1822)