Some articles on derivative, intrinsic derivative:
Geometric Calculus - Covariant Derivative
... blade defines a projection of 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 ... 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 ... on a general manifold, the covariant derivative does not commute ...
... blade defines a projection of 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 ... 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 ... on a general manifold, the covariant derivative does not commute ...
Famous quotes containing the words derivative and/or intrinsic:
“When we say “science” we can either mean any manipulation of the inventive and organizing power of the human intellect: or we can mean such an extremely different thing as the religion of science the vulgarized derivative from this pure activity manipulated by a sort of priestcraft into a great religious and political weapon.”
—Wyndham Lewis (1882–1957)
“Three elements go to make up an idea. The first is its intrinsic quality as a feeling. The second is the energy with which it affects other ideas, an energy which is infinite in the here-and-nowness of immediate sensation, finite and relative in the recency of the past. The third element is the tendency of an idea to bring along other ideas with it.”
—Charles Sanders Peirce (1839–1914)