A note on the dimension Dind
W. Kulpa (1972)
Colloquium Mathematicae
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Displaying similar documents to “Concentration phenomena for Liouville's equation in dimension four”
A note on the dimension Dind
The origins of the concept of dimension
R. Duda (1979)
Colloquium Mathematicae
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Two variants of Sperner's lemma with application to invariance of dimension theorems
R. Đorđević (1989)
Matematički Vesnik
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On the dimensions of certain incommensurably constructed sets.
Veerman, J.J.P., Stošić, B.D. (2000)
Experimental Mathematics
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On the Green function of Sturm-Liouville differential equation with normal operator coefficient.
Uslu, Serpil Öztürk, Bayramoğlu, Mehmet (2005)
APPS. Applied Sciences
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On transfinite dimension
L. Polkowski (1985)
Colloquium Mathematicae
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Dimension of dense subalgebras of C(X)
Juan B. Sancho de Salas, M.ª Teresa Sancho de Salas (1988)
Extracta Mathematicae
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Some remarks about the complete integrability in the sense of Arnold-Liouville.
Lăzureanu, Cristian (1997)
General Mathematics
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A note on a generalization of the Sturm-Picone theorem
Vadim Komkov (1978)
Colloquium Mathematicae
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On the Information Dimensions
Józef Myjak, Ryszard Rudnicki (2007)
Bollettino dell'Unione Matematica Italiana
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A relationship between the information dimension and the average dimension of a measure is given. Properties of the average dimension are studied.
A further discussion of the Hausdorff dimension in Engel expansions
Lu-ming Shen (2010)
Acta Arithmetica
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Introduction to Liouville Numbers
Adam Grabowski, Artur Korniłowicz (2017)
Formalized Mathematics
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The article defines Liouville numbers, originally introduced by Joseph Liouville in 1844 [17] as an example of an object which can be approximated “quite closely” by a sequence of rational numbers. A real number x is a Liouville number iff for every positive integer n, there exist integers p and q such that q > 1 and [...] It is easy to show that all Liouville numbers are irrational. Liouville constant, which is also defined formally, is the first transcendental (not algebraic) number....
Application of Vekua's dimension reduction method to cusped plates and bars.
Jaiani, G. (2001)
Bulletin of TICMI
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Cell-like maps, dimension and cohomological dimension: a survey
Leonard R. Rubin (1986)
Banach Center Publications
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A note on the pseudorandomness of the Liouville function
Huaning Liu, Wenguang Zhai (2009)
Acta Arithmetica
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The growth rate and dimension theory of beta-expansions
Simon Baker (2012)
Fundamenta Mathematicae
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In a recent paper of Feng and Sidorov they show that for β ∈ (1,(1+√5)/2) the set of β-expansions grows exponentially for every x ∈ (0,1/(β-1)). In this paper we study this growth rate further. We also consider the set of β-expansions from a dimension theory perspective.