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Can I transform an implicit function of a cylinder to explicit form?

Lets say we have a cylinder

$$x^2 + y^2 - 1 = 0$$

and we want to have it expressed as function $f(x,y,z)$.

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    What is wrong with $y = \pm \sqrt{1-x^2}$? $z$ can take any value.2011-10-17
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    You have already written it as $f(x,y,z)=0$, haven't you?2011-10-17

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