Inequalities | Theorems in combinatorics | Independence (probability theory)
In combinatorial mathematics, the XYZ inequality, also called the Fishburn–Shepp inequality, is an inequality for the number of linear extensions of finite partial orders. The inequality was conjectured by Ivan Rival and Bill Sands in 1981. It was proved by Lawrence Shepp in . An extension was given by Peter Fishburn in . It states that if x, y, and z are incomparable elements of a finite poset, then , where P(A) is the probability that a linear order extending the partial order has the property A. In other words the probability that increases if one adds the condition that . In the language of conditional probability, The proof uses the Ahlswede–Daykin inequality. (Wikipedia).
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Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of a Z-Score
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From playlist Calculus 3
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MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX The first half of the lecture covers a surprising recent
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From playlist Algebra 1 | Get Ready for Grade Level | Khan Academy
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From playlist Calculus
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From playlist Inequalities for Math Olympiad Series
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From playlist Calculus Problems
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