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Statements

Subject Item: dbr:Modulus_and_characteristic_of_convexity
rdfs:label: Modulus and characteristic of convexity
rdfs:comment: In mathematics, the modulus of convexity and the characteristic of convexity are measures of "how convex" the unit ball in a Banach space is. In some sense, the modulus of convexity has the same relationship to the ε-δ definition of uniform convexity as the modulus of continuity does to the ε-δ definition of continuity.
dct:subject: dbc:Convex_analysis dbc:Banach_spaces
dbo:wikiPageID: 12724582
dbo:wikiPageRevisionID: 1104835649
dbo:wikiPageWikiLink: dbr:Antipodal_point dbr:Continuous_function dbr:Strictly_convex_space dbr:Vitali_Milman dbr:Modulus_of_continuity dbr:Banach_space dbr:Uniformly_smooth_space dbc:Convex_analysis dbr:Convex_set dbr:Unit_ball dbr:Mathematics dbr:Joram_Lindenstrauss dbr:Monotonic_function dbr:If_and_only_if dbc:Banach_spaces dbr:Clarkson's_inequalities dbr:Convex_function dbr:Uniformly_convex_space
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dbo:abstract: In mathematics, the modulus of convexity and the characteristic of convexity are measures of "how convex" the unit ball in a Banach space is. In some sense, the modulus of convexity has the same relationship to the ε-δ definition of uniform convexity as the modulus of continuity does to the ε-δ definition of continuity.
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prov:wasDerivedFrom: wikipedia-en:Modulus_and_characteristic_of_convexity?oldid=1104835649&ns=0
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foaf:isPrimaryTopicOf: wikipedia-en:Modulus_and_characteristic_of_convexity

Subject Item: dbr:Uniformly_smooth_space
dbo:wikiPageWikiLink: dbr:Modulus_and_characteristic_of_convexity

Subject Item: dbr:Strictly_convex_space
dbo:wikiPageWikiLink: dbr:Modulus_and_characteristic_of_convexity

Subject Item: dbr:Uniformly_convex_space
dbo:wikiPageWikiLink: dbr:Modulus_and_characteristic_of_convexity

Subject Item: dbr:Brunn–Minkowski_theorem
dbo:wikiPageWikiLink: dbr:Modulus_and_characteristic_of_convexity

Subject Item: dbr:Reflexive_space
dbo:wikiPageWikiLink: dbr:Modulus_and_characteristic_of_convexity

Subject Item: dbr:Characteristic_of_convexity
dbo:wikiPageWikiLink: dbr:Modulus_and_characteristic_of_convexity
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Subject Item: dbr:Modulus_of_convexity
dbo:wikiPageWikiLink: dbr:Modulus_and_characteristic_of_convexity
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Subject Item: wikipedia-en:Modulus_and_characteristic_of_convexity
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