Difference between revisions of "Shear transformation"

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     ], {visible: false});
 
     ], {visible: false});
  
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var l1 = board.create('line', [q, q1], {strokeWidth: 1});
 
var s1 = board.create('segment', [q, q1], {dash:2});
 
var s1 = board.create('segment', [q, q1], {dash:2});
 
var s2 = board.create('segment', [qx, q], {dash:2});
 
var s2 = board.create('segment', [qx, q], {dash:2});

Revision as of 09:16, 31 May 2021

Shear transformation

[math] \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 the form [math]{x\choose \lambda}[/math] are mapped to:

[math] \varphi({x\choose \lambda}) = {x + \lambda\choose} [/math]


The underlying JavaScript code