V2EX bivectorial

Bivectorial

释义 Definition

bivectorial(形容词):与双向量(bivector)有关的;具有双向量性质的。常见于几何代数、外代数、微分几何、物理数学等语境,用来描述由两个向量“张成/楔积”所形成的对象或其相关结构。(该词较专业,日常英语中很少使用。)

发音 Pronunciation

/bavktril/

例句 Examples

A bivectorial quantity can represent an oriented area.
双向量性质的量可以表示一个有方向的面积。

In geometric algebra, bivectorial elements arise naturally from the wedge product of two vectors and are used to model rotations.
在几何代数中,双向量性质的元素会自然地由两个向量的楔积产生,并用于对旋转进行建模。

词源 Etymology

**bi-**(“二、双”)+ vector(“向量”,源自拉丁语 vector,意为“搬运者/携带者”)+ -ial(形容词后缀,表示“……的/与……相关的”)。因此 bivectorial 字面意思就是“与双向量相关的”。

相关词 Related Words

文学与著作 Literary Works

  • Space-Time Algebra(David Hestenes)
  • Geometric Algebra for Physicists(Chris Doran & Anthony Lasenby)
  • Clifford Algebras and Spinors(Pertti Lounesto)
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