| 词汇 | principal-bundle |
| 释义 | BETA principal bundlecollocation in Englishmeanings of principaland bundleThese words are often used together. Click on the links below to explore the meanings. principal noun uk /ˈprɪn.sə.pəl/ us /ˈprɪn.sə.pəl/ US the person in charge of ... See more at principal 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 principal bundleprincipal bundle It also provides a basic example of a principalbundle, by identifying the fiber with the circle group. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In particular, the product of transition functions on a three-way intersection is not always equal to one, as is required for a principalbundle. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In particular, one studies the wavefunctions in a tangent space known as a principalbundle. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. But for the purposes of an overview, it is convenient to stick with the principalbundle viewpoint. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. From any vector bundle, one can construct the frame bundle of bases which is a principalbundle (see below). From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Mathematically, a "gauge" is just a choice of a (local) section of some principalbundle. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. A principalbundle is trivial if and only if it admits a global cross section. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It should be emphasized that, in the physical literature on gauge theory, a structure group of a principalbundle often is called the gauge group. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In particular, on a principalbundle, a principal connection is a natural reinterpretation of the connection form as a tensorial object. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This principalbundle is called the holonomy bundle (through "p") of the connection. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In many cases, however, the prolongation is a principalbundle in its own right, and its structure group can be identified with a subgroup of a higher-order jet group. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. This then specializes to the case when the specified fibre is a principal homogeneous space for the left action of the group on itself, yielding the associated principalbundle. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. On the other hand, the connection form has the advantage that it is a differential form defined on the differentiable manifold, rather than on an abstract principalbundle over it. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It turns out that these properties completely characterize smooth principal bundles. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The same fact applies to local trivializations of principal bundles. 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. |
反思网英语在线翻译词典收录了377474条英语词汇在线翻译词条，基本涵盖了全部常用英语词汇的中英文双语翻译及用法，是英语学习的有利工具。