Examples of 'parallel transport' in a sentence
Meaning of "parallel transport"
Parallel transport: a concept in mathematics and physics that describes the transportation of a vector along a curve on a manifold without changing its direction
Show more definitions
- A way of transporting geometrical data along smooth curves in a manifold.
How to use "parallel transport" in a sentence
Basic
Advanced
parallel transport
Parallel transport on a sphere depends on the path.
Further generalizations of parallel transport are also possible.
Parallel transport on the sphere.
Mathematically they are understood through parallel transport.
An applet demonstrating parallel transport of tangent vectors on a sphere.
It relates it to the concept of parallel transport.
The way that parallel transport acts on geodesic curves characterizes an affine connection.
The main idea is that of parallel transport.
The existence of parallel transport follows from standard existence theorems for ordinary differential equations.
One idea is using the concept of parallel transport.
This also defines a parallel transport on the frame bundle.
Thus the orientation of the pendulum undergoes parallel transport.
Stand by for parallel transport.
It prevents any displacement outside the unwinding axis by ensuring adequately parallel transport.
It should be noted that parallel transport of data is also possible.
See also
Another broad generalization of curvature comes from the study of parallel transport on a surface.
One may thus avoid using parallel transport tracks for processing animals in different ways.
Such curve lifting may sometimes be thought of as the parallel transport of reference frames.
We will do a parallel transport on the Captain.
The local theory concerns itself primarily with notions of parallel transport and holonomy.
Because I think it parallel transport its own tangent vector.
The Cartan condition ensures that the distinguished section a always moves under parallel transport.
This isomorphism is known as the parallel transport map associated to the curve.
Parallel Transport on a sphere.
Mathematically the device performs parallel transport along the path it travels.
In differential geometry, an analogous role is played by parallel transport.
There is only one obvious notion of parallel transport and only one natural connection.
Moreover, the hypersurface is uniquely determined up to a parallel transport.
Then it is said that V is a parallel transport along λ from p to q.
In fact, the usual notion of connection is the infinitesimal analog of parallel transport.
On a curved surface, parallel transport along a closed path will generate a shift.
This was the traditional approach toward defining parallel transport and was used by Dirac.
This latter means of parallel transport is the Levi-Civita connection on the sphere.
First, we propose a numerical scheme to compute the parallel transport along geodesics.
In geometry, parallel transport is a way of transporting geometrical data along smooth curves in a manifold.
A simple mechanical device that can be used to visualize parallel transport is the south-pointing chariot.
The parallel transport of e0 along γ is the extension of e0 to a parallel section X on γ.
In the Euclidean plane, the device performs parallel transport.
The parallel transport which is constructed by Schild 's ladder is necessarily torsion-free.
A connection was viewed in terms of parallel transport between infinitesimally nearby points ; [ 5 ].
Parallel transport can be extended immediately to piecewise C1 curves.
Where τts, TγsM → TγtM is the parallel transport map defining the connection.
This parallel transport was affine, rather than linear ;.
Immortal . Alone . Stand by for parallel transport.
Or, vice versa, parallel transport is the local realization of a connection.
The connection ω restricts to a connection on H ( p ), since its parallel transport maps preserve Hp.
You'll also be interested in:
Examples of using Parallel
Show more
Special parallel relationships and succession issues
Your chin should be parallel to the floor
In parallel the existing investment plans are being reconsidered
Examples of using Transport
Show more
Transport database and information systems development
Basic course on the transport of dry cargo
This transport will take you there
