<p>My math teacher said the equation I put up should work fine since the real numbers are uncountably infinite (when you include decimals). One person already solved it with y=1, since every point is a maxima, but I like ours better.</p>
<p>[Weierstrass</a> function](<a href=“http://en.wikipedia.org/wiki/Weierstrass_function]Weierstrass”>Weierstrass function - Wikipedia) anyone?</p>
<p>And for the record, i != Sqrt[-1] because this definition creates certain problems in commutativity.
It’s defined as i²=-1 :)</p>
<p>Whoas! I think theZcd wins. That’s really a mind-bending function.</p>
<p>… might I just interject that this discussion has continued for the past four years? :P</p>
<p>y=sinx. lol</p>
<p>I am not too sure about the concepts of countability and continuity, but what about this function:</p>
<p>y = </p>
<p>1 if x is rational
0 if x is irrational</p>
<p>y=sin((infinity)*x)</p>
<p>Its Sin(x)/x, is it not?</p>