query: Maximum norm and the triangle inequality
positive_passages.docid: 150609
positive_passages.text: Triangle Inequality of the Cartesian product with Max function
negative_passages.docid: 30044
negative_passages.text: Inequality with triangle sides
negative_passages.docid: 31672
negative_passages.text: $L^p$-norm of the gradient of a harmonic function.
negative_passages.docid: 22237
negative_passages.text: Proof of triangle inequality
negative_passages.docid: 149664
negative_passages.text: Norm is sup of inner products (proof).
negative_passages.docid: 70711
negative_passages.text: Inequality between 2 norm and 1 norm of a matrix
negative_passages.docid: 77716
negative_passages.text: Not every metric is induced from a norm
negative_passages.docid: 77576
negative_passages.text: Using the triangle inequalities to prove a bound in the complex plane
negative_passages.docid: 23979
negative_passages.text: Inequality involving sides of a triangle
negative_passages.docid: 20816
negative_passages.text: Inequalities with assumptions and constraints
negative_passages.docid: 131596
negative_passages.text: Symmetric Inequality in $\mathbb{R}$
negative_passages.docid: 67851
negative_passages.text: Does $|x|^p$ with $0<p<1$ satisfy the triangle inequality on $\mathbb{R}$?
negative_passages.docid: 101190
negative_passages.text: Extreme Points of a Convex Hull
negative_passages.docid: 23677
negative_passages.text: "Scaled $L^p$ norm" and geometric mean
negative_passages.docid: 89555
negative_passages.text: Inequality for the p norm of a convolution
negative_passages.docid: 45751
negative_passages.text: Expectation of the maximum of i.i.d. geometric random variables
negative_passages.docid: 2848
negative_passages.text: Convex integral inequality