tangent space वाक्य
उदाहरण वाक्य
मोबाइल
- Each point of an " n "-dimensional differentiable manifold has a tangent space.
- As a result, tangent spaces and vectors are defined as operators acting on this space of functions.
- This fact is utilized by employing tetrad fields describing a flat tangent space at every point of spacetime.
- Another way of saying this is that the pullback of the metric onto the tangent space is degenerate.
- Slerp curves not extending through a point fail to transform into lines in that point's tangent space.
- The differential or pushforward of a map between manifolds is the induced map between tangent spaces of those maps.
- SU ( 2 ) _ R, and hence the quaternions act upon the tangent space of extended superspace.
- This formulation is analogous to the construction of the cotangent space to define the Zariski tangent space in algebraic geometry.
- More strictly this defines an affine tangent space, distinct from the space of tangent vectors described by modern terminology.
- This yields the correspondence between the tangent space defined via derivations and the tangent space defined via the cotangent space.
- This yields the correspondence between the tangent space defined via derivations and the tangent space defined via the cotangent space.
- A smooth function has ( at every point ) the differential, a linear functional on the tangent space.
- (Note : The right hand side of the above may not lie in the tangent space to the manifold.
- It is one half of the value obtained without regard for the tangent space orientation, but with opposite sign.
- This tangent space generates a ( unit ) pseudoscalar which is a function of the points of the vector manifold.
- Likewise, cotangent space is a contravariant functor, essentially the composition of the tangent space with the dual space above.
- For example, the tangent bundle consists of the collection of tangent spaces parametrized by the points of a differentiable manifold.
- Therefore, all tangent vectors in a point p span a linear space, called the tangent space at point p.
- This means that the tangent spaces at each point are canonically identified with each other and with the vector space itself.
- Pick a point \ mu \ in S ( X ) and consider the tangent space T _ \ mu S.
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