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3

Check out the following FullSimplify[(x^2 + y^2) Cos[ 4 ArcTan[y/x]] - ((8 x^4)/(x^2 + y^2) - 7 x^2 + y^2)] (* 0 *) The two expressions are identical so it is not suprising that they produce identical plots.


18

There are several important things about the way computer systems represent real numbers, which most of the time can be blithely ignored, just like the safety of bridges in the United States. One important thing is that numbers are discrete. With regular machine precision (double precision), the mantissa has 53 bits, which provides a lot of resolution. ...



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