Shear transformation: Difference between revisions
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JXG.Options.label.autoPosition = true; | JXG.Options.label.autoPosition = true; | ||
JXG.Options.text.fontSize = 20; | JXG.Options.text.fontSize = 20; | ||
var board = JXG.JSXGraph.initBoard('jxgbox', { boundingbox: [- | var board = JXG.JSXGraph.initBoard('jxgbox', { boundingbox: [-8, 8, 8, -8], axis: true}); | ||
var x = board.defaultAxes.x; | var x = board.defaultAxes.x; | ||
var y = board.defaultAxes.y; | var y = board.defaultAxes.y; | ||
var q = board.create('point', [1, 2], {name: 'q'}); | var q = board.create('point', [1, 2], {name: 'q', snapToGrid: true}); | ||
var q1 = board.create('point', [ | var q1 = board.create('point', [ | ||
() => q.X() + q.Y(), | () => q.X() + q.Y(), | ||
Revision as of 07:18, 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 the form [math]\displaystyle{ {x\choose \lambda} }[/math] are mapped to:
- [math]\displaystyle{ \varphi({x\choose \lambda}) = {x + \lambda\choose} }[/math]
