query: $\bar{.9}$ is distinct from 1 in $\mathbb{R}$ so why does $\bar{.9} = 1$
positive_passages.docid: 142651
positive_passages.text: Where can you perform variable substitution in an equation?
negative_passages.docid: 4486
negative_passages.text: If $ar + bs =1$, then $\gcd(a,s) = \gcd(r,b) = \gcd(r,s) = 1$
negative_passages.docid: 71604
negative_passages.text: Why is the determinant of the 0x0 matrix equal 1?
negative_passages.docid: 21903
negative_passages.text: What is the difference between [0-9]+ and [0-9]++?
negative_passages.docid: 153302
negative_passages.text: $9$ divides $n-r(n)$ where $r(n)$ is $n$ with its digits reversed
negative_passages.docid: 143343
negative_passages.text: The series of reciprocals of the integers that do not contain 9 in their decimal representation
negative_passages.docid: 23701
negative_passages.text: I have a problem understanding the proof of Rencontres numbers (Derangements)
negative_passages.docid: 9192
negative_passages.text: Intuitive explanation for dividing by $n-1$ when calculating standard deviation?
negative_passages.docid: 95145
negative_passages.text: Does $\exp(2ir\pi)$ equal $1$? What's wrong?
negative_passages.docid: 6707
negative_passages.text: Why there is a $\frac{1}{2}$ in the distance formula $d=\frac{1}{2}at^2$?
negative_passages.docid: 67588
negative_passages.text: Why does $|e^{ix}|^2 = 1$?
negative_passages.docid: 123753
negative_passages.text: In a metric $(X,d)$, prove that for each subset $A$, $x\in\bar{A}$ if and only if $d(x,A)=0.$
negative_passages.docid: 132204
negative_passages.text: Why does the standard error of the intercept increase the further $\bar x$ is from 0?
negative_passages.docid: 126124
negative_passages.text: Why is the sum of the digits in a multiple of 9 also a multiple of 9?
negative_passages.docid: 149571
negative_passages.text: Alignment of numbers on the individual bars
negative_passages.docid: 129394
negative_passages.text: understanding $\frac{\partial x}{\partial y}\frac{\partial y}{\partial z}\frac{\partial z}{\partial x}=-1$
negative_passages.docid: 150321
negative_passages.text: How do you prove Cov $\left( \bar{X} , X_i - \bar{X} \right) = 0$?