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 .

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dbo: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)
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dbp:align	right (en)
dbp: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)
dbp:codomain	Lagrange spectrum with (en)
dbp:domain	Irrational numbers (en)
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dbp:name	Markov constant of a number (en)
dbp:notes	This function is undefined on rationals; hence, it is not continuous. (en)
dbp:parity	even (en)
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dcterms:subject	dbc:Diophantine_approximation dbc:Continued_fractions
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)
rdfs:label	Markov constant (en)
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