query: Trigonometric inequality of finding a smallest number
positive_passages.docid: 133880
positive_passages.text: $|\sin^2x-\sin^2y|\le K|x-y|$ find K
negative_passages.docid: 107601
negative_passages.text: Use of inequality $1 - \cos (x) \leq x^2 /2$
negative_passages.docid: 156669
negative_passages.text: Trying to prove a simple (?) inequality
negative_passages.docid: 118244
negative_passages.text: An $n$th root inequality: $\sqrt[n]{n} < 1 + \sqrt{2/n}$
negative_passages.docid: 141647
negative_passages.text: Finding the index value of the smallest number in a list?
negative_passages.docid: 152074
negative_passages.text: How to find out the global minimum of the following expression
negative_passages.docid: 155572
negative_passages.text: How to prove that at least one of the absolute values of sin(n) , sin(n+1)),sin(n+2) is greater than 0.5
negative_passages.docid: 75039
negative_passages.text: Smallest positive element of $ \{ax + by: x,y \in \mathbb{Z}\}$ is $\gcd(a,b)$
negative_passages.docid: 86518
negative_passages.text: Does $X$ have a lower bound?
negative_passages.docid: 103150
negative_passages.text: Proof that $1729$ is the smallest taxicab number
negative_passages.docid: 105988
negative_passages.text: Find the uniform lower bound of the smallest eigenvalue of a certain matrix
negative_passages.docid: 134159
negative_passages.text: Smallest value of $a^2 + b^2 + c^2+ d^2$, given values for $(a+b)(c+d)$, $(a+c)(b+d)$, and $(a+d)(b+c)$
negative_passages.docid: 139158
negative_passages.text: Inequality concerning nonnegative numbers (related to Hanner's inequalities)
negative_passages.docid: 40779
negative_passages.text: What is the smallest possible value of $\lfloor (a+b+c)/d\rfloor+\lfloor (a+b+d)/c\rfloor+\lfloor (a+d+c)/b\rfloor+\lfloor (d+b+c)/a\rfloor$?
negative_passages.docid: 45711
negative_passages.text: Inequality with complex numbers
negative_passages.docid: 20055
negative_passages.text: Find minimum value of $\sum \frac{\sqrt{a}}{\sqrt{b}+\sqrt{c}-\sqrt{a}}$
negative_passages.docid: 155895
negative_passages.text: Trying to get lowest integers