query: Natural logarithm of -1 is 3.14159265 i
positive_passages.docid: 124209
positive_passages.text: How is $\ln(-1) = i\pi$?
negative_passages.docid: 127290
negative_passages.text: Intuition behind logarithm change of base
negative_passages.docid: 158257
negative_passages.text: Is aleph-$0$ a natural number?
negative_passages.docid: 125701
negative_passages.text: Prove that $-2\log(2) = -2 + \sum_{n=1}^{\infty}\frac{1}{n(2n+1)}$
negative_passages.docid: 128298
negative_passages.text: Irrationality of sum of two logarithms: $\log_2 5 +\log_3 5$
negative_passages.docid: 22687
negative_passages.text: Proof of the power rule for logarithms
negative_passages.docid: 132672
negative_passages.text: Are $\log_1 1$ and $\log_0 0$ indeterminate forms?
negative_passages.docid: 118393
negative_passages.text: What is the logarithm of a kilometer? Is it a dimensionless number?
negative_passages.docid: 62302
negative_passages.text: What is the expected value of the logarithm of Gamma distribution?
negative_passages.docid: 80648
negative_passages.text: What's $(-1)^{2/3}\; $?
negative_passages.docid: 154210
negative_passages.text: Elegant high precision `log1p`?
negative_passages.docid: 100801
negative_passages.text: A $\log \Gamma $ identity: Where does it come from?
negative_passages.docid: 93610
negative_passages.text: What is $\int_0^1 \frac{\log \left(1-x^2\right) \sin ^{-1}(x)^2}{x^2} \, dx$?
negative_passages.docid: 64262
negative_passages.text: cubic root of negative numbers
negative_passages.docid: 20056
negative_passages.text: What algorithm is used by computers to calculate logarithms?
negative_passages.docid: 103598
negative_passages.text: Showing that $\int_0^1 \log(\sin \pi x)dx=-\log2$
negative_passages.docid: 121310
negative_passages.text: Integral $\int_0^1 \log \left(\Gamma\left(x+\alpha\right)\right)\,{\rm d}x=\frac{\log\left( 2 \pi\right)}{2}+\alpha \log\left(\alpha\right) -\alpha$