About: Logarithmically concave measure

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In mathematics, a Borel measure μ on n-dimensional Euclidean space is called logarithmically concave (or log-concave for short) if, for any compact subsets A and B of and 0 < λ < 1, one has where λ A + (1 − λ) B denotes the Minkowski sum of λ A and (1 − λ) B.

Attributes	Values
rdfs:label	Misura logaritmicamente concava (it) Logarithmically concave measure (en)
rdfs:comment	In mathematics, a Borel measure μ on n-dimensional Euclidean space is called logarithmically concave (or log-concave for short) if, for any compact subsets A and B of and 0 < λ < 1, one has where λ A + (1 − λ) B denotes the Minkowski sum of λ A and (1 − λ) B. (en) In matematica, una misura di Borel μ in uno spazio euclideo n-dimensionale Rn è detta logaritmicamente concava se, dati due qualunque sottoinsiemi compatti A e B di Rn e dato λ tale che , si ha in cui λ A + (1 − λ) B denota la somma di Minkowski di λ A e (1 − λ) B. (it)
dcterms:subject	Measures (measure theory)
Wikipage page ID	9368110 (xsd:integer)
Wikipage revision ID	1068203245 (xsd:integer)
Link from a Wikipage to another Wikipage	Prékopa–Leindler inequality Convex set Convolution Mathematics Gaussian measure Convex measure Lebesgue measure Logarithmically concave function Euclidean space Measures (measure theory) Dimension Borel measure Brunn–Minkowski theorem Minkowski sum Compact set
sameAs	Logarithmically concave measure Logarithmically concave measure Logarithmically concave measure Logarithmically concave measure Logarithmically concave measure
dbp:wikiPageUsesTemplate	dbt:Reflist dbt:Measure_theory
has abstract	In mathematics, a Borel measure μ on n-dimensional Euclidean space is called logarithmically concave (or log-concave for short) if, for any compact subsets A and B of and 0 < λ < 1, one has where λ A + (1 − λ) B denotes the Minkowski sum of λ A and (1 − λ) B. (en) In matematica, una misura di Borel μ in uno spazio euclideo n-dimensionale Rn è detta logaritmicamente concava se, dati due qualunque sottoinsiemi compatti A e B di Rn e dato λ tale che , si ha in cui λ A + (1 − λ) B denota la somma di Minkowski di λ A e (1 − λ) B. (it)
prov:wasDerivedFrom	wikipedia-en:Logarithmically_concave_measure?oldid=1068203245&ns=0
page length (characters) of wiki page	1863 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Logarithmically_concave_measure
is Link from a Wikipage to another Wikipage of	Convex measure Linear discriminant analysis Logarithmically concave function Logarithmically concave sequence Log-concave Log-concave measure
is Wikipage redirect of	Log-concave measure
is foaf:primaryTopic of	wikipedia-en:Logarithmically_concave_measure

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