Symmetric function: Difference between revisions

Revision as of 16:51, 9 May 2012

Revision as of 16:51, 9 May 2012

Line 33:

<math>f(y,x)=y^2+x^2-r^2</math>

,which yields gives exactly the same results as the original f(x,y). In this case, the symmetry of the function can be seen as a symmetry of rotation of the circle around the axes x and y.

* Consider now the ellipse equation:

Line 43:

<math>f(y,x)=(\frac{y}{a})^2+(\frac{x}{b})^2-r^2</math>

,where we effectively swapped the two semi axes.

== Applications ==