错切 Shear mapping

（重定向自Shear transformation）

In fluid dynamics a shear mapping depicts fluid flow between parallel plates in relative motion.

Through a shear mapping coded in SVG,a rectangle becomes a parallelogram.

在数学中，错切是特殊类型的线性变换。

在平面 {(x,y): x,y ∈R} 中，直线 y = b 垂直错切成直线 y = mx + b 是通过如下线性映射完成的

(x,y) \begin{pmatrix}1 & 0\\ m & 1\end{pmatrix} = (x+my,y)

.

类似的，垂直直线 x = a 水平错切成斜率 1/m 的直线表示为线性映射

(x,y) \begin{pmatrix}1 & m\\0 & 1\end{pmatrix} = (x,mx+y)

.

单词	Shear transformation
释义	Shear transformation 中文百科错切 Shear mapping （重定向自Shear transformation）在数学中，错切是特殊类型的线性变换。在平面 {(x,y): x,y ∈R} 中，直线 y = b 垂直错切成直线 y = mx + b 是通过如下线性映射完成的 $(x,y) \begin{pmatrix}1 & 0\\ m & 1\end{pmatrix} = (x+my,y)$ . 类似的，垂直直线 x = a 水平错切成斜率 1/m 的直线表示为线性映射 $(x,y) \begin{pmatrix}1 & m\\0 & 1\end{pmatrix} = (x,mx+y)$ . 英语百科 Shear mapping 错切（重定向自Shear transformation） In plane geometry, a shear mapping is a linear map that displaces each point in fixed direction, by an amount proportional to its signed distance from a line that is parallel to that direction. This type of mapping is also called shear transformation, transvection, or just shearing.
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Shear transformation

错切 Shear mapping

Shear mapping 错切