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equivalence of absolute values on number fields

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#algebraic-number-theory #normed-spaces #absolute-value #equivalent-metrics
643
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Uniform continuity preserved with equivalent metrics?

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#real-analysis #general-topology #equivalent-metrics
77
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Equivalence of Metrics.

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#functional-analysis #distribution-theory #equivalent-metrics
42
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Equivalent metrics on $\Bbb N$

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#metric-spaces #equivalent-metrics
1k
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When are the sup and euclidean metric interchangeable in analysis on $\mathbb{R}^{n}$

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#real-analysis #analysis #metric-spaces #supremum-and-infimum #equivalent-metrics
32
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Defining a metric that quantitatively assesses two sets of data for similarity

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#statistics #signal-processing #correlation #equivalent-metrics
48
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Equivalence of norms with one boundary condition

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#normed-spaces #sobolev-spaces #equivalent-metrics
33
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Necessary and sufficient condition for metric lipschitz equivalence

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#general-topology #metric-spaces #equivalent-metrics
184
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No equivalent norm induced by inner product

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#functional-analysis #normed-spaces #inner-products #equivalent-metrics
39
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Show that a function is null iff two norms are equivalent

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#general-topology #normed-spaces #equivalent-metrics
113
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Prove arctan metric is equivalent to euclidean metric

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#real-analysis #general-topology #trigonometry #metric-spaces #equivalent-metrics
39
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Comparison between polynomial norms

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#calculus #analysis #polynomials #normed-spaces #equivalent-metrics
68
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Equivalence of norms. How do I continue?

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#calculus #linear-algebra #functional-analysis #normed-spaces #equivalent-metrics
47
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$(M, g)$ complete Riemannian manifold implies $(M, \tilde{g})$ complete if $\|X\|_{\tilde{g}} \ge \|X\|_g$ for all $X$

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#solution-verification #riemannian-geometry #complete-spaces #equivalent-metrics
461
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$\mathbb N$ when given the metric $d(m,n)=\frac{1}{m}-\frac{1}{n}$

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#metric-spaces #equivalent-metrics

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