Covering a three-dimensional convex body by smaller homothetic copies.
Lassak, Marek (1998)
Beiträge zur Algebra und Geometrie
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Lassak, Marek (1998)
Beiträge zur Algebra und Geometrie
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Hao Pan, Zhi-Wei Sun (2007)
Acta Arithmetica
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Fejes G. Tóth (1995)
Discrete & computational geometry
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Melissen, J.B.M., Schuur, P.C. (1996)
The Electronic Journal of Combinatorics [electronic only]
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Marc A. Berger, Alexander Felzenbaum, Aviezri S. Fraenkel (1988)
Colloquium Mathematicae
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W. Narkiewicz (1977)
Colloquium Mathematicae
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James H. Schmerl (2010)
Fundamenta Mathematicae
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For any three noncollinear points c₀,c₁,c₂ ∈ ℝ², there are sprays S₀,S₁,S₂ centered at c₀,c₁,c₂ that cover ℝ². This improves the result of de la Vega in which c₀,c₁,c₂ were required to be the vertices of an equilateral triangle.
P. D. T. A. Elliott (1976)
Colloquium Mathematicae
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G. Fejes Tóth (1988)
Acta Arithmetica
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András Biró (2003)
Acta Arithmetica
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G. Besson (2009)
Bollettino dell'Unione Matematica Italiana
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Paule, Peter (1996)
Experimental Mathematics
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G. Grekos, L. Haddad, C. Helou, J. Pihko (2005)
Acta Arithmetica
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Fuzhen Zhang (2016)
Special Matrices
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We review and update on a few conjectures concerning matrix permanent that are easily stated, understood, and accessible to general math audience. They are: Soules permanent-on-top conjecture†, Lieb permanent dominance conjecture, Bapat and Sunder conjecture† on Hadamard product and diagonal entries, Chollet conjecture on Hadamard product, Marcus conjecture on permanent of permanents, and several other conjectures. Some of these conjectures are recently settled; some are still open.We...
K. Kubota (1977)
Acta Arithmetica
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Sebastian Hebda (2013)
Colloquium Mathematicae
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We propose two conjectures which imply the Collatz conjecture. We give a numerical evidence for the second conjecture.
C. Greither, Radan Kučera (2008)
Acta Arithmetica
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