About: Ahlswede–Daykin inequality     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:WikicatInequalities, within Data Space : dbpedia.org associated with source document(s)
QRcode icon
http://dbpedia.org/describe/?url=http%3A%2F%2Fdbpedia.org%2Fresource%2FAhlswede%E2%80%93Daykin_inequality

The Ahlswede–Daykin inequality, also known as the four functions theorem (or inequality), is a correlation-type inequality for four functions on a finite distributive lattice. It is a fundamental tool in statistical mechanics and probabilistic combinatorics (especially random graphs and the probabilistic method). The inequality states that if are nonnegative functions on a finite distributive lattice such that for all x, y in the lattice, then for all subsets X, Y of the lattice, where and For a proof, see the original article or.

AttributesValues
rdf:type
rdfs:label
  • Ahlswede–Daykin inequality (en)
rdfs:comment
  • The Ahlswede–Daykin inequality, also known as the four functions theorem (or inequality), is a correlation-type inequality for four functions on a finite distributive lattice. It is a fundamental tool in statistical mechanics and probabilistic combinatorics (especially random graphs and the probabilistic method). The inequality states that if are nonnegative functions on a finite distributive lattice such that for all x, y in the lattice, then for all subsets X, Y of the lattice, where and For a proof, see the original article or. (en)
dcterms:subject
Wikipage page ID
Wikipage revision ID
Link from a Wikipage to another Wikipage
sameAs
dbp:wikiPageUsesTemplate
authorlink
  • Peter Fishburn (en)
first
  • P.C. (en)
last
  • Fishburn (en)
title
  • Ahlswede–Daykin inequality (en)
has abstract
  • The Ahlswede–Daykin inequality, also known as the four functions theorem (or inequality), is a correlation-type inequality for four functions on a finite distributive lattice. It is a fundamental tool in statistical mechanics and probabilistic combinatorics (especially random graphs and the probabilistic method). The inequality states that if are nonnegative functions on a finite distributive lattice such that for all x, y in the lattice, then for all subsets X, Y of the lattice, where and The Ahlswede–Daykin inequality can be used to provide a short proof of both the Holley inequality and the FKG inequality. It also implies the XYZ inequality. For a proof, see the original article or. (en)
prov:wasDerivedFrom
page length (characters) of wiki page
foaf:isPrimaryTopicOf
is Link from a Wikipage to another Wikipage of
is Wikipage redirect of
is Wikipage disambiguates of
is foaf:primaryTopic of
Faceted Search & Find service v1.17_git139 as of Feb 29 2024


Alternative Linked Data Documents: ODE     Content Formats:   [cxml] [csv]     RDF   [text] [turtle] [ld+json] [rdf+json] [rdf+xml]     ODATA   [atom+xml] [odata+json]     Microdata   [microdata+json] [html]    About   
This material is Open Knowledge   W3C Semantic Web Technology [RDF Data] Valid XHTML + RDFa
OpenLink Virtuoso version 08.03.3330 as of Mar 19 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (62 GB total memory, 60 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software