BETA
Examples ofparallel transport
Dictionary> Examples ofparallel transport
parallel transportisn’t in the Cambridge Dictionary yet. You can help!
Add a definition
For that you need the integration of orientation response fields into visual contours byparalleltransport with respect to the constancygenerated vector field.
From theCambridge English Corpus
Here 'numerical diffusion' means the numerically induced contribution of (very large)paralleltransportto transport in the perpendicular direction.
From theCambridge English Corpus
Therefore, some kind of interpolation is necessary, which, again, can lead to the contribution ofparalleltransportin the perpendicular direction.
From theCambridge English Corpus
On the other hand, the contribution of the perpendicular transport to theparalleltransportis negligible.
From theCambridge English Corpus
The existence ofparalleltransportfollows because ("t") can be computed as the integral of the geodesic curvature.
From
This example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.Paralleltransportalong geodesics, the straight lines of the surface, can also easily be described directly.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.To motivate this, it suffices to consider how affine frames of reference transform infinitesimally with respect toparalleltransport.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.In turn the geodesic curvature determines how vectors in the tangent planes along the curve should rotate duringparalleltransport.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.There is another kinematic way of understandingparalleltransportand geodesic curvature in terms of rolling without slipping or twisting.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.A simple mechanical device that can be used to visualizeparalleltransportis the south-pointing chariot.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.Conversely, if a suitable notion ofparalleltransportis available, then a corresponding connection can be obtained by differentiation.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.In fact, the usual notion of connection is the infinitesimal analog ofparalleltransport.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.If the fiber bundle is a vector bundle, then the notion ofparalleltransportmust be linear.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.A choice of affine connection is also equivalent to a notion ofparalleltransport, which is a method for transporting tangent vectors along curves.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.Asparalleltransportsupplies a local realization of the connection, it also supplies a local realization of the curvature known as holonomy.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.Or, "vice versa",paralleltransportis the local realization of a connection.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.Any kind of connection on a manifold gives rise, through itsparalleltransportmaps, to some notion of holonomy.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.Cartan connections induce covariant derivatives and other differential operators on certain associated bundles, hence a notion ofparalleltransport.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.The derivative along a curve is also used to define theparalleltransportalong the curve.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.The idea of sliding the one straight line along the other gives way to the more general notion ofparalleltransport.
FromThis example is from Wikipedia and may be reused under a CC BY-SA license.
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
- exculpated
- exculpating
- exculpatory
- exculpatory evidence
- excursion
- excursion boat
- excursion-into
- excursion into something
- excursus
- excusable
- excuse
- excused
- excuse me
- excuse-me
- excuse/pardon my French!
- excuse-pardon-my-french
- excusing
- ex-directory
- ex-directory
- ex-dividend
- ex-dividend
- ex-dividend date
- ex-dividend-date
- ex dock
- ex-dock