query: Reverse triangle inequality in a normed linear space
positive_passages.docid: 3820
positive_passages.text: Prove that $||x|-|y||\le |x-y|$
negative_passages.docid: 104148
negative_passages.text: Showing the norm' is non-negative
negative_passages.docid: 20816
negative_passages.text: Inequalities with assumptions and constraints
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: 22237
negative_passages.text: Proof of triangle inequality
negative_passages.docid: 51267
negative_passages.text: Showing a generalized version of the Hölder inequality for $L^{p}$ spaces
negative_passages.docid: 122305
negative_passages.text: Proof of matrix norm property: submultiplicativity
negative_passages.docid: 104217
negative_passages.text: Alternative triangle inequality proof
negative_passages.docid: 131596
negative_passages.text: Symmetric Inequality in $\mathbb{R}$
negative_passages.docid: 57850
negative_passages.text: Bounding an Error on the inverse.
negative_passages.docid: 144656
negative_passages.text: Linear functional and a bounded norm
negative_passages.docid: 146026
negative_passages.text: What is the norm of this bounded linear functional?
negative_passages.docid: 90350
negative_passages.text: How can we replace $\sup$ with $\max$ in definition of subordinate norm for finite-dimensional vector space?
negative_passages.docid: 46435
negative_passages.text: 2-norm of the orthogonal projection
negative_passages.docid: 154226
negative_passages.text: Upper bound for norm of Hilbert space operator
negative_passages.docid: 144382
negative_passages.text: Proving $\lVert x \rVert_3$ is smaller than euclidean norm
negative_passages.docid: 70711
negative_passages.text: Inequality between 2 norm and 1 norm of a matrix