query: Different definitions of equivalent norms
positive_passages.docid: 148954
positive_passages.text: Understanding a statement about equivalent norms ($||\cdot ||_2 \sim||\cdot||_1 $)
negative_passages.docid: 61761
negative_passages.text: Equivalent definition $\text{Cone}(K)$
negative_passages.docid: 15839
negative_passages.text: equivalent norms in Banach spaces of infinite dimension
negative_passages.docid: 14701
negative_passages.text: Ridge & LASSO norms
negative_passages.docid: 108367
negative_passages.text: proving tautologically equivalent
negative_passages.docid: 123505
negative_passages.text: how to prove vector norm equivalence in finite dimensional space($\mathbb{R}^{n}$)?
negative_passages.docid: 48614
negative_passages.text: Why is "$P \Rightarrow Q$" equivalent to "$\neg Q \Rightarrow \neg P$"?
negative_passages.docid: 83130
negative_passages.text: How are these definitions of the limit superior and limit inferior equivalent?
negative_passages.docid: 28021
negative_passages.text: Showing that these two definitions of $\gcd(a,b)$ are equivalent
negative_passages.docid: 91348
negative_passages.text: Why is the Ideal Norm Multiplicative?
negative_passages.docid: 102436
negative_passages.text: Two different definitions of Jordan canonical form
negative_passages.docid: 151161
negative_passages.text: norms on vector space are equivalent iff they have same topology
negative_passages.docid: 82339
negative_passages.text: When is this norm defined?
negative_passages.docid: 150415
negative_passages.text: Pseudoinverse and norm
negative_passages.docid: 34272
negative_passages.text: Proving definition of norms induced by vector norms
negative_passages.docid: 104977
negative_passages.text: How to calculate equivalence relations
negative_passages.docid: 78941
negative_passages.text: proof that an alternative definition of limit is equivalent to the usual one