I'm making plots of point sets in a plane. My points are generated by a function ranging over two parameters $x$ and $y$ and I want to see all the points where these are integers between $-10$ and $10$. But the function is undefined when $x=y=0$.
Following is a version of my code where I've replaced the function with something simpler, that is also undefined at $x=y=0$.
ListPlot[Table[{x/(x^2+y^2),y/(x^2+y^2)}, {x, -10, 10, 1}, {y, -10, 10, 1}]]
If you implement that code, you will get the graph but with error messages about the point where it's undefined. (In reality what I'm doing is more complicated and involves a slidable parameter, which compounds the problem because every time you slide the parameter Mathematica hits the undefined point again.)
What is the easiest way to omit the combination $x=y=0$ from the combination of data ranges?
ListPlot[Table[{x/(x^2 + y^2), y/(x^2 + y^2)}, {x, -10.00001, 10, 1}, {y, -10.00001, 10, 1}]]
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