query: Maximum value of x such that $y=x^y,y \epsilon R $
positive_passages.docid: 15885
positive_passages.text: Infinite tetration, convergence radius
negative_passages.docid: 35867
negative_passages.text: Squaring sides of an inequality
negative_passages.docid: 29679
negative_passages.text: Prove: $|x-y|\leq |x|+|y|$
negative_passages.docid: 77493
negative_passages.text: Classic $c_r$-inequality in $l_r$ space: $E(|X+Y|^r)\leq c_r[E(|X|^r)+E(|Y|^r)]$
negative_passages.docid: 58813
negative_passages.text: Computing $\max_{1/2 \leq x \leq 2} ( \min_{1/3 \leq y \leq 1} f(x,y) )$ where $f(x,y) = x(y \log y - y) - y \log x$.
negative_passages.docid: 90186
negative_passages.text: graphing $y=\lim\limits_{n \to \infty}{\sqrt[n]{1+x^n}}$
negative_passages.docid: 34325
negative_passages.text: Minimizing $\sum_{i=1}^n \max(|x_i - x|, |y_i - y|)$ - Sum of Max of Absolute Values
negative_passages.docid: 34114
negative_passages.text: What is $\max{(1/\alpha+1/\beta+|1/\gamma|+|1/\delta|)}$?
negative_passages.docid: 61472
negative_passages.text: If $0<x<y$, then prove that $\sqrt{x} <\sqrt{y}$ and $x <\sqrt{xy} <y$
negative_passages.docid: 95694
negative_passages.text: Is there a name for the function $\max(x, 0)$?
negative_passages.docid: 62958
negative_passages.text: Maximize $\mathrm{tr}(Q^TCQ)$ subject to $Q^TQ=I$
negative_passages.docid: 56796
negative_passages.text: Maximum of $x^3+y^3+z^3$ with $x+y+z=3$
negative_passages.docid: 44607
negative_passages.text: Prove that a continuous function on a closed interval attains a maximum
negative_passages.docid: 150609
negative_passages.text: Triangle Inequality of the Cartesian product with Max function
negative_passages.docid: 154223
negative_passages.text: Find the maximum value of $ f(x) = \int^{x}_{0} \sqrt{(x^2-x)^2+y^4}~dy$
negative_passages.docid: 40635
negative_passages.text: Finding Maximum value of consecutive positive integers with constraints
negative_passages.docid: 85955
negative_passages.text: Expected value of maximum of two random variables from uniform distribution