| 词汇 | parallel-transport |
| 释义 | BETA parallel transportcollocation in Englishmeanings of paralleland transportThese words are often used together. Click on the links below to explore the meanings. parallel noun uk /ˈpær.ə.lel/ us /ˈper.ə.lel/ something very similar to something else, or a similarity between ... See more at parallel transport noun uk /ˈtræn.spɔːt/ us /ˈtræn.spɔːrt/ the movement of people or goods from one place ... See more at transport Examples of parallel transportparallel transport For that you need the integration of orientation response fields into visual contours by parallel transport with respect to the constancygenerated vector field. Here 'numerical diffusion' means the numerically induced contribution of (very large) paralleltransport to transport in the perpendicular direction. Therefore, some kind of interpolation is necessary, which, again, can lead to the contribution of paralleltransport in the perpendicular direction. On the other hand, the contribution of the perpendicular transport to the paralleltransport is negligible. The existence of paralleltransport follows because ("t") can be computed as the integral of the geodesic curvature. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Paralleltransport along geodesics, the straight lines of the surface, can also easily be described directly. From 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 to paralleltransport. From 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 during paralleltransport. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. There is another kinematic way of understanding paralleltransport and geodesic curvature in terms of rolling without slipping or twisting. From 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 visualize paralleltransport is the south-pointing chariot. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Conversely, if a suitable notion of paralleltransport is available, then a corresponding connection can be obtained by differentiation. From 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 of paralleltransport. From 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 of paralleltransport must be linear. From 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 of paralleltransport, which is a method for transporting tangent vectors along curves. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. As paralleltransport supplies a local realization of the connection, it also supplies a local realization of the curvature known as holonomy. From 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. |
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