query: Two contradictory ways to calculate $(e^{2\pi i})^i$?
positive_passages.docid: 54435
positive_passages.text: What is the value of $1^i$?
negative_passages.docid: 123892
negative_passages.text: What is $\int_{-\pi}^\pi \cos(nx)\cos(mx)\,dx$?
negative_passages.docid: 56745
negative_passages.text: Why does this not work with an imaginary exponent?
negative_passages.docid: 144811
negative_passages.text: Calculate $\int_0^{2\pi} \frac{1}{2+\sin(x)} \ dx$
negative_passages.docid: 62867
negative_passages.text: Is $E^2=(mc^2)^2+(pc)^2$ correct, or is $E=mc^2$ the correct one?
negative_passages.docid: 67588
negative_passages.text: Why does $|e^{ix}|^2 = 1$?
negative_passages.docid: 35454
negative_passages.text: Is it correct to write $\Bbb E[X]$ or $\Bbb E_{\theta}[X]$?
negative_passages.docid: 130058
negative_passages.text: Evaluate $\int_0^{\pi} e^{a\cos(t)}\cos(a\sin t)dt$
negative_passages.docid: 17620
negative_passages.text: Why the principal value of complex number argument is taken within $(-\pi,\pi]?$
negative_passages.docid: 77349
negative_passages.text: What is the real part of $ e^{e^{i \theta}} ?$
negative_passages.docid: 49444
negative_passages.text: Why isn't $e^{2\pi xi}=1$ true for all $x$?
negative_passages.docid: 87322
negative_passages.text: How to calculate $i^i$
negative_passages.docid: 18931
negative_passages.text: Is there really no way to integrate $e^{-x^2}$?
negative_passages.docid: 96328
negative_passages.text: Proving $e^{i\pi} = -1$ without proving $e^{ix} = \cos x + i\sin x$
negative_passages.docid: 75731
negative_passages.text: Significance of $\pi$ in physics
negative_passages.docid: 31716
negative_passages.text: Calculate :$\int_{0}^{2\pi }e^{R{ {\cos t}}}\cos(R\sin t+3t)\mathrm{d}t$
negative_passages.docid: 139411
negative_passages.text: Finding $\pi$ factorial