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<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
* Consider now the ellipse equation:
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<math>f(y,x)=(\frac{y}{a})^2+(\frac{x}{b})^2-r^2</math>
where we effectively swapped the two semi axes. This function is obviously not the same as the original, which constitutes it non-symmetrical. Compared to the previous example, the for 90 degree rotation symmetry is not maintained.
== Applications ==
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