e^iπ hehe
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-1 says hi
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No, they mean what they wrote. https://en.m.wikipedia.org/wiki/Transcendental_number … "In mathematics, a transcendental number is a real number or complex number that is not an algebraic number—that is, not a root (i.e., solution) of a nonzero polynomial equation with integer coefficients."
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So we should expect that a transcendental number will behave irrationally?
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3^3?
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Why?, you have one to the power of another, making it exceedingly difficult because of approximation? Sometimes smart politicians resort to this, thoughts?
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Let b=2^(1/2) Then let a=b^b Then a^b is a rational number, even though a and b are both irrational. Similarly: The concern is that maybe there is an a and b both transcendental such that a^b is algebraic or even rational. I don't think that's known either way.
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I think e^π has been transcendental ever, also way before 1930 :-)
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But we have known that since 1930.
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