About: Probabilistic method

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The probabilistic method is a nonconstructive method, primarily used in combinatorics and pioneered by Paul Erdős, for proving the existence of a prescribed kind of mathematical object. It works by showing that if one randomly chooses objects from a specified class, the probability that the result is of the prescribed kind is strictly greater than zero. Although the proof uses probability, the final conclusion is determined for certain, without any possible error.

Attributes	Values
rdf:type	software
rdfs:label	Probabilistic method (en)
rdfs:comment	The probabilistic method is a nonconstructive method, primarily used in combinatorics and pioneered by Paul Erdős, for proving the existence of a prescribed kind of mathematical object. It works by showing that if one randomly chooses objects from a specified class, the probability that the result is of the prescribed kind is strictly greater than zero. Although the proof uses probability, the final conclusion is determined for certain, without any possible error. (en)
sameAs	Probabilistic method Probabilistic method
dbp:wikiPageUsesTemplate	dbt:= dbt:Cite_journal dbt:Efn dbt:ISBN dbt:Math dbt:Mvar dbt:Notelist dbt:Portal dbt:Short_description dbt:Isbn
Subject	Combinatorics Probabilistic arguments Mathematical proofs
gold:hypernym	Method
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Probabilistic_method?oldid=1066963110&ns=0
Wikipage page ID	173525 (xsd:integer)
page length (characters) of wiki page	11449 (xsd:nonNegativeInteger)
Wikipage revision ID	1066963110 (xsd:integer)
has abstract	The probabilistic method is a nonconstructive method, primarily used in combinatorics and pioneered by Paul Erdős, for proving the existence of a prescribed kind of mathematical object. It works by showing that if one randomly chooses objects from a specified class, the probability that the result is of the prescribed kind is strictly greater than zero. Although the proof uses probability, the final conclusion is determined for certain, without any possible error. This method has now been applied to other areas of mathematics such as number theory, linear algebra, and real analysis, as well as in computer science (e.g. randomized rounding), and information theory. (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Probabilistic_method
is Wikipage redirect of	Probabilistic methods Erdős magic Probabilistic combinatorics Probabilistic proof
is Link from a Wikipage to another Wikipage of	Number theory Ahlswede–Daykin inequality Algorithmic Lovász local lemma Angular resolution (graph drawing) Australian Laureate Fellowship Bella Subbotovskaya Binary symmetric channel Bruce Reed (mathematician) Geoffrey Grimmett Gilbert–Varshamov bound for linear codes Girth (graph theory) Glossary of areas of mathematics Majority function Maker-Breaker game Method of conditional probabilities Crossing number inequality Lisa Sauermann List of mathematics-based methods List of probabilistic proofs of non-probabilistic theorems Combinatorial Games: Tic-Tac-Toe Theory Combinatorics Constructive proof Heuristic argument Michael Krivelevich Elementary Number Theory, Group Theory and Ramanujan Graphs Erdős–Rényi model Erdős–Tetali theorem Fuzzy extractor Google Brain Imaging spectroscopy Incompressibility method Index of engineering science and mechanics articles Mirella Lapata Extractor (mathematics) Extremal graph theory FKG inequality Heilbronn triangle problem International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems Joint Committee on Structural Safety Monero Eurocomb Lovász local lemma Klaus Roth Network science Erdős magic

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