Counting functions and finite differences.
Guersenzvaig, Natalio H., Spivey, Michael Z. (2007)
Integers
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Guersenzvaig, Natalio H., Spivey, Michael Z. (2007)
Integers
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Grainger, Arthur D. (2003)
International Journal of Mathematics and Mathematical Sciences
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Bagno, Eli, Butman, Ayelet, Garber, David (2007)
The Electronic Journal of Combinatorics [electronic only]
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Grosjean, Carl C. (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Viktor Harangi (2011)
Open Mathematics
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We say that a set in a Euclidean space does not contain an angle α if the angle determined by any three points of the set is not equal to α. The goal of this paper is to construct compact sets of large Hausdorff dimension that do not contain a given angle α ∈ (0,π). We will construct such sets in ℝn of Hausdorff dimension c(α)n with a positive c(α) depending only on α provided that α is different from π/3, π/2 and 2π/3. This improves on an earlier construction (due to several authors)...
Mohmed H. Saleh, Samir M. Amer, Marwa H. Ahmed (2009)
Applications of Mathematics
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A class of non-linear singular integral equations with Hilbert kernel and a related class of quasi-linear singular integro-differential equations are investigated by applying Schauder's fixed point theorem in Banach spaces.
Faliharimalala, Hilarion L.M., Zeng, Jiang (2008)
The Electronic Journal of Combinatorics [electronic only]
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Vella, David C. (2008)
Integers
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