Some articles on derivative, intrinsic derivative:
... vectors onto the manifold Just as the geometric derivative is defined over the entire n-dimensional space, we may wish to define an intrinsic derivative, locally defined on the manifold If a is a ... Therefore we define the covariant derivative to be the forced projection of the intrinsic derivative back onto the manifold Since any general multivector can be expressed as a sum of a projection and a ... Importantly, on a general manifold, the covariant derivative does not commute ...
Famous quotes containing the words derivative and/or intrinsic:
“Poor John Field!—I trust he does not read this, unless he will improve by it,—thinking to live by some derivative old-country mode in this primitive new country.... With his horizon all his own, yet he a poor man, born to be poor, with his inherited Irish poverty or poor life, his Adam’s grandmother and boggy ways, not to rise in this world, he nor his posterity, till their wading webbed bog-trotting feet get talaria to their heels.”
—Henry David Thoreau (1817–1862)
“To have that sense of one’s intrinsic worth which constitutes self-respect is potentially to have everything: the ability to discriminate, to love and to remain indifferent. To lack it is to be locked within oneself, paradoxically incapable of either love or indifference.”
—Joan Didion (b. 1934)