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- Ahlswede–Daykin_inequality abstract "A fundamental tool in statistical mechanics and probabilistic combinatorics (especially random graphs and the probabilistic method), the Ahlswede–Daykin inequality (Ahlswede & Daykin 1978), also known as the four functions theorem (or inequality), is a correlation-type inequality for four functions on a finite distributive lattice.It states that if are nonnegative functions on a finite distributive lattice such thatfor all x, y in the lattice, then for all subsets X, Y of the lattice, whereandThe Ahlswede–Daykin inequality can be used to provide a short proof of both the Holley inequality and the FKG inequality. It also implies the Fishburn–Shepp inequality.For a proof, see the original article (Ahlswede & Daykin 1978) or (Alon & Spencer 2000).".
- Ahlswede–Daykin_inequality wikiPageID "20295062".
- Ahlswede–Daykin_inequality wikiPageRevisionID "551423679".
- Ahlswede–Daykin_inequality authorlink "Peter Fishburn".
- Ahlswede–Daykin_inequality first "P.C.".
- Ahlswede–Daykin_inequality id "a/a110440".
- Ahlswede–Daykin_inequality last "Fishburn".
- Ahlswede–Daykin_inequality subject Category:Inequalities.
- Ahlswede–Daykin_inequality subject Category:Statistical_mechanics.
- Ahlswede–Daykin_inequality comment "A fundamental tool in statistical mechanics and probabilistic combinatorics (especially random graphs and the probabilistic method), the Ahlswede–Daykin inequality (Ahlswede & Daykin 1978), also known as the four functions theorem (or inequality), is a correlation-type inequality for four functions on a finite distributive lattice.It states that if are nonnegative functions on a finite distributive lattice such thatfor all x, y in the lattice, then for all subsets X, Y of the lattice, whereandThe Ahlswede–Daykin inequality can be used to provide a short proof of both the Holley inequality and the FKG inequality. ".
- Ahlswede–Daykin_inequality label "Ahlswede–Daykin inequality".
- Ahlswede–Daykin_inequality sameAs Ahlswede%E2%80%93Daykin_inequality.
- Ahlswede–Daykin_inequality sameAs Q4695203.
- Ahlswede–Daykin_inequality sameAs Q4695203.
- Ahlswede–Daykin_inequality wasDerivedFrom Ahlswede–Daykin_inequality?oldid=551423679.