query: A fallacy in the imaginary numbers.
positive_passages.docid: 3712
positive_passages.text: Why $\sqrt{-1 \cdot {-1}} \neq \sqrt{-1}^2$?
negative_passages.docid: 132701
negative_passages.text: Contradicting Fubini's theorem
negative_passages.docid: 13794
negative_passages.text: $|z_{1} + z_{2}| = |z_{1} - z_{2}| \implies z_{1}/z_{2}$ is Imaginary
negative_passages.docid: 17211
negative_passages.text: Is it wrong to tell children that $1/0 =$ NaN is incorrect, and should be $∞$?
negative_passages.docid: 123539
negative_passages.text: Numerical phenomenon. Who can explain?
negative_passages.docid: 29806
negative_passages.text: Can this statistic be shown not to be sufficient for $\theta$?
negative_passages.docid: 132525
negative_passages.text: Real Numbers Raised to Imaginary Powers?
negative_passages.docid: 31542
negative_passages.text: How many "super imaginary" numbers are there?
negative_passages.docid: 21769
negative_passages.text: Motivation for complex numbers
negative_passages.docid: 95702
negative_passages.text: Remarkable/unexpected rational numbers
negative_passages.docid: 81267
negative_passages.text: A simple doubt in number theory problem.
negative_passages.docid: 122226
negative_passages.text: Incorrect logic in popular proof of the irrationality of $\sqrt2$?
negative_passages.docid: 62522
negative_passages.text: Sine is algebraically less than cosine in given interval.
negative_passages.docid: 23406
negative_passages.text: How do I convince someone that $1+1=2$ may not necessarily be true?
negative_passages.docid: 157208
negative_passages.text: Statistics: Bertrand's Box Paradox
negative_passages.docid: 25788
negative_passages.text: Prove that $i^i$ is a real number
negative_passages.docid: 79131
negative_passages.text: List of generally believed conjectures which cannot all be true