tangent space उदाहरण वाक्य

उदाहरण वाक्य

1. Each point of an " n "-dimensional differentiable manifold has a tangent space.
2. As a result, tangent spaces and vectors are defined as operators acting on this space of functions.
3. This fact is utilized by employing tetrad fields describing a flat tangent space at every point of spacetime.
4. Another way of saying this is that the pullback of the metric onto the tangent space is degenerate.
5. Slerp curves not extending through a point fail to transform into lines in that point's tangent space.
6. The differential or pushforward of a map between manifolds is the induced map between tangent spaces of those maps.
7. SU ( 2 ) _ R, and hence the quaternions act upon the tangent space of extended superspace.
8. This formulation is analogous to the construction of the cotangent space to define the Zariski tangent space in algebraic geometry.
9. More strictly this defines an affine tangent space, distinct from the space of tangent vectors described by modern terminology.
10. This yields the correspondence between the tangent space defined via derivations and the tangent space defined via the cotangent space.