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单词 Connection form
释义

Connection form

原声例句
VOA Special 2018年5月合集

And these connections form slowly over time.

随着时间的推移,这些联系会慢慢形成。

2023-36

During this sleep stage, your brain strengthens neural connections formed by the previous day's experiences and integrates them into existing networks, Dr. Robbins said.

罗宾斯博士说,在这个睡眠阶段,你的大脑会加强由前一天的经历形成的神经连接,并将它们整合到现有的网络中。

美国历史

Having the towns ready and railway and steamboat connections formed with the rest of the world, they carried out the people to use the railways, the steamships, the houses, and the land.

有了城镇和与世界其他地方的铁路和轮船联系,他们就让人们使用铁路、轮船、房屋和土地。

中文百科

联络形式

在数学,特别是微分几何中,一个联络形式connection form)是用活动标架与微分形式的语言处理联络数据的一种方式。

历史上联络形式由埃利·嘉当在二十世纪上半叶引入,作为他活动标架方法的一部分,也是其主要促进因素之一。联络形式一般取决于标架的选取,从而不是一个张量性对象。在嘉当最初的工作之后,涌现出联络形式的各种推广与重新解释。特别地,在一个主丛上,一个主联络是将联络形式自然重新解释为一个张量性对象。另一方面,联络形式作为定义在微分流形上的微分形式与在一个抽象的主丛上相比,有其优越性。从而,尽管它们不满足张量性,联络形式依然被使用,因为利用它们计算相对简单 。在物理学中,联络形式在规范理论中通过规范共变微分也广泛应用。

英语百科

Connection form 联络形式

In mathematics, and specifically differential geometry, a connection form is a manner of organizing the data of a connection using the language of moving frames and differential forms.

Historically, connection forms were introduced by Élie Cartan in the first half of the 20th century as part of, and one of the principal motivations for, his method of moving frames. The connection form generally depends on a choice of frame, and so is not a tensorial object. Various generalizations and reinterpretations of the connection form were formulated subsequent to Cartan's initial work. In particular, on a principal bundle, a principal connection is a natural reinterpretation of the connection form as a tensorial object. 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 principal bundle over it. Hence, despite their lack of tensoriality, connection forms continue to be used because of the relative ease of performing calculations with them. In physics, connection forms are also used broadly in the context of gauge theory, through the gauge covariant derivative.

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更新时间:2025/6/19 4:40:17