Shear transformation: Difference between revisions

Revision as of 07:07, 31 May 2021

Shear transformation

[math]\displaystyle{ \varphi: {\cal A}(\mathbb{R}^2) \to {\cal A}(\mathbb{R}^2), \; x \mapsto \begin{pmatrix}1 & 1 \\ 0& 1\end{pmatrix} }[/math]

Points of type [math]\displaystyle{ {x\choose \lambda} }[/math] are mapped to:

[math]\displaystyle{ \varphi{x\choose \lambda} = }[/math]

@@ Line 2: / Line 2: @@
 :<math>
-\varphi: {\cal A}(\mathbb{R}), \; x \mapsto \begin{pmatrix}1 & 1 \\ 0& 1\end{pmatrix}
+\varphi: {\cal A}(\mathbb{R}^2) \to {\cal A}(\mathbb{R}^2), \; x \mapsto \begin{pmatrix}1 & 1 \\ 0& 1\end{pmatrix}
 </math>
+Points of type <math>{x\choose \lambda}</math> are mapped to:
+:<math>
+\varphi{x\choose \lambda} =
+</math>
 <jsxgraph width="500" height="500">