About: Markov constant

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In number theory, specifically in Diophantine approximation theory, the Markov constant of an irrational number is the factor for which Dirichlet's approximation theorem can be improved for .

Attributes	Values
rdfs:label	Markov constant (en)
rdfs:comment	In number theory, specifically in Diophantine approximation theory, the Markov constant of an irrational number is the factor for which Dirichlet's approximation theorem can be improved for . (en)
name	Markov constant of a number (en)
dcterms:subject	Diophantine approximation Continued fractions
Wikipage page ID	62331378 (xsd:integer)
Wikipage revision ID	1116076185 (xsd:integer)
Link from a Wikipage to another Wikipage	Quadratic irrational number Hurwitz's theorem (number theory) Peter Gustav Lejeune Dirichlet Continued fraction Golden ratio Lagrange number MOS:RADICAL Markov number Markov spectrum Irrational number Adolf Hurwitz E (mathematical constant) Number theory Diophantine approximation Dirichlet's approximation theorem Diophantine approximation Square root of 2 Rational number Continued fractions Restricted partial quotients Uncountable set Lagrange spectrum
sameAs	Markov constant Markov constant
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align	right (en)
caption	A demonstration that has Markov constant , as stated in the example below. This plot graphs = against where is the nearest integer to . The dots at the top corresponding to an x-axis value of 0.7, 2.5, 4.3 and 6.1 are the points for which the limit superior of is approached. (en)
domain	Irrational numbers (en)
notes	This function is undefined on rationals; hence, it is not continuous. (en)
period	1 (xsd:integer)
width	360 (xsd:integer)
has abstract	In number theory, specifically in Diophantine approximation theory, the Markov constant of an irrational number is the factor for which Dirichlet's approximation theorem can be improved for . (en)
codomain	Lagrange spectrum with (en)
max-width	30.0 (perCent)
parity	even (en)
prov:wasDerivedFrom	wikipedia-en:Markov_constant?oldid=1116076185&ns=0
page length (characters) of wiki page	12988 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Markov_constant
is differentFrom of	Markov number
is Link from a Wikipage to another Wikipage of	Hurwitz's theorem (number theory) Diophantine approximation
is foaf:primaryTopic of	wikipedia-en:Markov_constant

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