| 词汇 | vector-bundle |
| 释义 | BETA vector bundlecollocation in Englishmeanings of vectorand bundleThese words are often used together. Click on the links below to explore the meanings. vector noun[ C ] uk /ˈvek.tər/ us /ˈvek.tɚ/ mathematics, physics a quantity that has both size ... See more at vector bundle noun[ C ] uk /ˈbʌn.dəl/ us /ˈbʌn.dəl/ a number of things that have been fastened or are ... See more at bundle Examples of vector bundlevector bundle In fact, for the following application, we will immediately come back to a vectorbundle situation. Now choose a partition of unity subordinate to a cover of by vectorbundle charts. However, is covered by vectorbundle charts of this type. The control theorem holds for the weight vectorbundle. First of all we discuss some questions of smoothing the sections of a vectorbundle. Together, these two ingredients show that a proper group action is equivalent in a neighbourhood of each orbit to a linear action on a vectorbundle. A real vectorbundle admits an almost complex structure if and only if it is the underlying real bundle of a complex vectorbundle. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. These are called the transition functions (or the coordinate transformations) of the vectorbundle. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This is similar to the cobordism ring of oriented manifolds, except that the manifolds also have a vectorbundle. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In topology, differential geometry, and algebraic geometry, it is often important to count how many linearly independent sections a vectorbundle has. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Connections (gauge connection) define this principal bundle, yielding a covariant derivative in each associated vectorbundle. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. If the fiber bundle is a vectorbundle, then the notion of parallel transport must be linear. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The fiber of the corresponding vectorbundle over "x" is then the range of "f" ("x"). From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. More generally, differential geometers consider spaces with a vectorbundle and an arbitrary affine connection which is not defined in terms of a metric. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Vectorbundle morphisms are a special case of the notion of a bundle map between fiber bundles, and are also often called (vector) bundle homomorphisms. 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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