Some articles on derivative, intrinsic derivative:
Geometric Calculus - Covariant Derivative
... This blade defines a projection of vectors onto the manifold Just as the geometric derivative is defined over the entire n-dimensional space, we may ... 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 ... tensor is given by Importantly, on a general manifold, the covariant derivative does not commute ...
... This blade defines a projection of vectors onto the manifold Just as the geometric derivative is defined over the entire n-dimensional space, we may ... 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 ... tensor is given by 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)
“It is not in our drawing-rooms that we should look to judge of the intrinsic worth of any style of dress. The street-car is a truer crucible of its inherent value.”
—Elizabeth Stuart Phelps (1844–1911)