query: Using Triangle inequality
positive_passages.docid: 8207
positive_passages.text: Can I prove this inequality algebraically?
negative_passages.docid: 147785
negative_passages.text: Proving inequality $x^xy^y \geq (\frac{x+y}{2})^{x+y}$
negative_passages.docid: 131475
negative_passages.text: Example of the equality of an inequality
negative_passages.docid: 143801
negative_passages.text: Proving the AGM inequality with 3 variables
negative_passages.docid: 15224
negative_passages.text: Inequality with Binomial distribution
negative_passages.docid: 136290
negative_passages.text: a mathematical problem on inequalities
negative_passages.docid: 96217
negative_passages.text: If a and b are non-negative real numbers then demonstrate inequality
negative_passages.docid: 843
negative_passages.text: High school quadratic inequality question
negative_passages.docid: 67851
negative_passages.text: Does $|x|^p$ with $0<p<1$ satisfy the triangle inequality on $\mathbb{R}$?
negative_passages.docid: 39015
negative_passages.text: Prove the triangle inequality on the sphere $S^2$ in $\mathbb{R}^3$.
negative_passages.docid: 2504
negative_passages.text: Inequality $\left|\,x_1\,\right|+\left|\,x_2\,\right|+\cdots+\left|\,x_p\,\right|\leq\sqrt{p}\sqrt{x^2_1+x^2_2+\cdots+x^2_p}$
negative_passages.docid: 99644
negative_passages.text: Finding an Upper Bound on This Inequality
negative_passages.docid: 77026
negative_passages.text: Proof with inequalities
negative_passages.docid: 91131
negative_passages.text: Question regarding an inequality
negative_passages.docid: 106373
negative_passages.text: Hölder's inequality with three functions
negative_passages.docid: 131180
negative_passages.text: When Jensen's inequality is equality
negative_passages.docid: 27272
negative_passages.text: Triangle Inequality with Complex Numbers