并矢积
在数学特别是双线性代数中,有同样维度的两个矢量 和
的并矢积
是这些矢量的张量积,而结果是阶为 2 的张量。
关于选定的基 ,并矢积
的分量
可以定义为
,
这里的
,
,
而
.
单词 | Dyadic product |
释义 |
Dyadic product
中文百科
并矢积在数学特别是双线性代数中,有同样维度的两个矢量 是这些矢量的张量积,而结果是阶为 2 的张量。 关于选定的基
这里的
而
英语百科
Dyadics 并矢积In mathematics, specifically multilinear algebra, a dyadic or dyadic tensor is a second order tensor, written in a notation that fits in with vector algebra. There are numerous ways to multiply two Euclidean vectors. The dot product takes in two vectors and returns a scalar, while the cross product returns a pseudovector. Both of these have various significant geometric interpretations and are widely used in mathematics, physics, and engineering. The dyadic product takes in two vectors and returns a second order tensor called a dyadic in this context. A dyadic can be used to contain physical or geometric information, although in general there is no direct way of geometrically interpreting it. |
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