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- Positively_separated_sets abstract "In mathematics, two non-empty subsets A and B of a given metric space (X, d) are said to be positively separated if the infimumis strictly positive. (Some authors also specify that A and B should be disjoint sets; however, this adds nothing to the definition, since if A and B have some common point p, then d(p, p) = 0, and so the infimum above is clearly 0 in that case.)For example, on the real line with the usual distance, the open intervals (0, 2) and (3, 4) are positively separated, while (3, 4) and (4, 5) are not. In two dimensions, the graph of y = 1/x for x > 0 and the x-axis are not positively separated.".
- Positively_separated_sets wikiPageID "11278902".
- Positively_separated_sets wikiPageRevisionID "544804507".
- Positively_separated_sets hasPhotoCollection Positively_separated_sets.
- Positively_separated_sets subject Category:Metric_geometry.
- Positively_separated_sets comment "In mathematics, two non-empty subsets A and B of a given metric space (X, d) are said to be positively separated if the infimumis strictly positive.".
- Positively_separated_sets label "Positively separated sets".
- Positively_separated_sets label "Zbiory dodatnio oddzielone".
- Positively_separated_sets sameAs Zbiory_dodatnio_oddzielone.
- Positively_separated_sets sameAs m.02r632f.
- Positively_separated_sets sameAs Q7233308.
- Positively_separated_sets sameAs Q7233308.
- Positively_separated_sets wasDerivedFrom Positively_separated_sets?oldid=544804507.
- Positively_separated_sets isPrimaryTopicOf Positively_separated_sets.