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In mathematics, the Dirichlet function is the indicator function 1Q or of the set of rational numbers Q, i.e. 1Q(x) = 1 if x is a rational number and 1Q(x) = 0 if x is not a rational number (i.e. an irrational number). It is named after the mathematician Peter Gustav Lejeune Dirichlet. It is an example of pathological function which provides counterexamples to many situations.

Attributes	Values
rdfs:label	Dirichlet function (en)
rdfs:comment	In mathematics, the Dirichlet function is the indicator function 1Q or of the set of rational numbers Q, i.e. 1Q(x) = 1 if x is a rational number and 1Q(x) = 0 if x is not a rational number (i.e. an irrational number). It is named after the mathematician Peter Gustav Lejeune Dirichlet. It is an example of pathological function which provides counterexamples to many situations. (en)
dbp:wikiPageUsesTemplate	dbt:Reflist dbt:Short_description dbt:Math_proof
Subject	Real analysis Elementary special functions
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Dirichlet_function?oldid=1056177904&ns=0
Wikipage page ID	630005 (xsd:integer)
page length (characters) of wiki page	4957 (xsd:nonNegativeInteger)
Wikipage revision ID	1056177904 (xsd:integer)
Link from a Wikipage to another Wikipage	Nowhere continuous function Baire function Blumberg theorem Monotone convergence theorem Real analysis Peter Gustav Lejeune Dirichlet Dense set Constant function Enumeration Indicator function Periodic function Irrational number Pathological (mathematics) Elementary special functions Lebesgue integration Lebesgue measure Mathematics Meagre set Negligible set Rational number Riemann integral
has abstract	In mathematics, the Dirichlet function is the indicator function 1Q or of the set of rational numbers Q, i.e. 1Q(x) = 1 if x is a rational number and 1Q(x) = 0 if x is not a rational number (i.e. an irrational number). It is named after the mathematician Peter Gustav Lejeune Dirichlet. It is an example of pathological function which provides counterexamples to many situations. (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Dirichlet_function
is Wikipage redirect of	Dirichlet's function
is Link from a Wikipage to another Wikipage of	List of things named after Peter Gustav Lejeune Dirichlet List of types of functions Nonstandard calculus Nowhere continuous function 1829 in science Almost everywhere Baire function Blumberg theorem Cantor's first set theory article Classification of discontinuities List of eponyms (A–K) List of important publications in mathematics List of mathematical examples List of mathematical functions Continuous function Indicator function Integer-valued function Even and odd functions Lebesgue integration Limit of a function Dirichlet's function
is foaf:primaryTopic of	http://en.wikipedia.org/wiki/Dirichlet_function

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