query: L1 vs L2 norm - Circle and Diamond
positive_passages.docid: 158317
positive_passages.text: Understanding Lasso Regression's sparsity geometrically
negative_passages.docid: 145390
negative_passages.text: Formal power series ring, norm.
negative_passages.docid: 7345
negative_passages.text: Is $C[0,1]$ a Banach space for the $L^1$ norm?
negative_passages.docid: 17164
negative_passages.text: How do you show monotonicity of the $\ell^p$ norms?
negative_passages.docid: 138459
negative_passages.text: Norm and Algebraic Integers
negative_passages.docid: 99350
negative_passages.text: Are two norms equivalent if they induce the same topology on a vector space?
negative_passages.docid: 158706
negative_passages.text: How convergence relates to equivalence of norms
negative_passages.docid: 68995
negative_passages.text: Eisenstein's Criterion stronger version
negative_passages.docid: 60685
negative_passages.text: The vector space formed on C[0,1] and the norm $(\int_{0}^{1}|f(t)|^2 dt)^{1/2} $
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: 34272
negative_passages.text: Proving definition of norms induced by vector norms
negative_passages.docid: 31672
negative_passages.text: $L^p$-norm of the gradient of a harmonic function.
negative_passages.docid: 151161
negative_passages.text: norms on vector space are equivalent iff they have same topology
negative_passages.docid: 148954
negative_passages.text: Understanding a statement about equivalent norms ($||\cdot ||_2 \sim||\cdot||_1 $)
negative_passages.docid: 134136
negative_passages.text: Does weak convergence imply $L^2$-norm convergence?
negative_passages.docid: 144382
negative_passages.text: Proving $\lVert x \rVert_3$ is smaller than euclidean norm
negative_passages.docid: 51302
negative_passages.text: Show that the operator norm is submultiplicative