| 词汇 | covariant-derivative |
| 释义 | BETA covariant derivativecollocation in Englishmeanings of derivativeThese words are often used together. Click on the links below to explore the meanings. derivative noun[ C ] uk /dɪˈrɪv.ə.tɪv/ us /dɪˈrɪv.ə.t̬ɪv/ a form of something made or developed from ... See more at derivative Examples of covariant derivativecovariant derivative Connections (gauge connection) define this principal bundle, yielding a covariantderivative in each associated vector bundle. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The operator can be extended to operate on tensors as the divergence of the covariantderivative. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Even to formulate such equations requires a fresh notion, the covariantderivative. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This regulator is gauge invariant due to the auxiliary particles being minimally coupled to the photon field through the gauge covariantderivative. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The covariantderivative of a tensor field is presented as an extension of the same concept. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In words: the covariantderivative is the usual derivative along the coordinates with correction terms which tell how the coordinates change. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In addition to its interaction with other objects via the covariantderivative, the gauge field typically contributes energy in the form of a self-energy term. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The connection associated with this covariantderivative is completely determined by the tetrad. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In curved space-time, we must take the covariantderivative. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The equivalence of the more traditional general relativistic formulation using the covariant derivative with the differential form formulation can be seen as follows. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This is the tactic taken by the covariantderivative approach to connections: good behavior is equated with covariance. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The covariantderivative can in turn be recovered from parallel transport. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The equivalence principle is not assumed, but instead follows from the fact that the gauge covariantderivative is minimally coupled. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The covariantderivative is convenient however because it commutes with raising and lowering indices. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The covariantderivative of a tensor field along a vector field v is again a tensor field of the same type. 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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