query: Does $\sqrt{-1\cdot-1}=1$ or $-1$?
positive_passages.docid: 3712
positive_passages.text: Why $\sqrt{-1 \cdot {-1}} \neq \sqrt{-1}^2$?
negative_passages.docid: 43834
negative_passages.text: Simple Complex Number Problem: $1 = -1$
negative_passages.docid: 107390
negative_passages.text: Why is (-1)(-1) = 1?
negative_passages.docid: 108633
negative_passages.text: Why $f^{-1}(f(A)) \not= A$
negative_passages.docid: 11250
negative_passages.text: Evaluate the expression $\sqrt{2}^{\sqrt{2}^{\sqrt{2}^{\cdots}}}$
negative_passages.docid: 69515
negative_passages.text: If $x_n\cdot y_n\to 0$ then $x_n \to 0$ or $y_n \to 0 $
negative_passages.docid: 41645
negative_passages.text: Checking my understanding: $1 - 1 + 1 - 1 + 1 - ... = \frac{1}{2}$
negative_passages.docid: 80004
negative_passages.text: Why is $1/i$ equal to $-i$?
negative_passages.docid: 81240
negative_passages.text: Norm of an inverse operator: $\|T^{-1}\|=\|T\|^{-1}$?
negative_passages.docid: 133496
negative_passages.text: is $\sqrt{x}$ always positive?
negative_passages.docid: 148954
negative_passages.text: Understanding a statement about equivalent norms ($||\cdot ||_2 \sim||\cdot||_1 $)
negative_passages.docid: 16931
negative_passages.text: Can one do the maths of physics without using $\sqrt{-1}$?
negative_passages.docid: 70266
negative_passages.text: 1-1 correspondence between [0,1] and [0,1)
negative_passages.docid: 61144
negative_passages.text: Derivative of $x^{x^{\cdot^{\cdot}}}$?
negative_passages.docid: 66082
negative_passages.text: Using $\sqrt{1-t}\leq 1-\frac t2$ to show that $\frac{1\cdot3\cdot5\cdots(2n-1)}{2\cdot4\cdot6\cdots2n}\geq\frac1{2\sqrt n}$
negative_passages.docid: 124209
negative_passages.text: How is $\ln(-1) = i\pi$?
negative_passages.docid: 68746
negative_passages.text: What is $f(f^{-1}(A))$?