covariant derivative वाक्य

उदाहरण वाक्य

1. One alternative notation for the covariant derivative of any tensor is the subscripted nabla symbol \ nabla _ \ beta.
2. Again the covariant derivative is defined like the supercharge but with the second term negated and it anticommutes with the supercharges.
3. These can be defined directly from the induced covariant derivative  " on T " M " as follows.
4. In physics, connection forms are also used broadly in the context of gauge theory, through the gauge covariant derivative.
5. Invariants constructed using covariant derivatives up to order n are called n-th order " differential invariants ".
6. Covariant derivatives are denoted either by the operator \ nabla _ { i } or by subscripts preceded by a semicolon.
7. Although other covariant derivatives may be supported within the metric, usually one only ever considers the metric-compatible one.
8. In nonabelian Yang Mills theories, DF = 0 and D * F = 0 where D is the exterior covariant derivative.
9. Thus a covariant derivative is a way of specifying a derivative of a vector field along another vector field on a manifold.
10. In this case the Euclidean derivative is broken into two parts, the extrinsic normal component and the intrinsic covariant derivative component.