Two problems concerning the area-perimeter ratio of lattice-point-free regions in the plane.
Schnell, Uwe, Segura Gomis, Salvador (1996)
Beiträge zur Algebra und Geometrie
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Displaying similar documents to “Inequalities for lattice constrained planar convex sets.”
Two problems concerning the area-perimeter ratio of lattice-point-free regions in the plane.
Inequalities for convex sets.
Scott, Paul R., Awyong, Poh Wah (2000)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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On the centre of gravity and width of lattice-constrained convex sets in the plane.
Hernández Cifre, M.A., Scott, P.R., Segura Gomis, S. (1997)
Beiträge zur Algebra und Geometrie
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Complete systems of inequalities.
Hernández Cifre, María A., Salinas, Guillermo, Segura Gomis, Salvador (2001)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Euclidean perimeter of classes of optimal convex lattice -gons.
Stojaković, Miloš (2000)
Novi Sad Journal of Mathematics
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The endomorphisms of the lattice of closed convex cones.
Schneider, Rolf (2008)
Beiträge zur Algebra und Geometrie
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Lattice points in Minkowski sums.
Haase, Christian, Nill, Benjamin, Paffenholz, Andreas, Santos, Francisco (2008)
The Electronic Journal of Combinatorics [electronic only]
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A non local quantitative characterization of ellipses leading to a solvable differential relation.
Amar, M., Berrone, L.R., Gianni, R. (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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A local minimum energy condition of hexagonal circle packing.
Ishizaka, Kanya (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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An equivalent form of the fundamental triangle inequality and its applications.
Wu, Shan-He, Bencze, Mihály (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Solution of a problem of G. Pólya.
Janković, Vladimir (1996)
Matematichki Vesnik
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On a Hadwiger-Wills inequality concerning lattice points.
Kołodziejczyk, Krzysztof (1999)
Beiträge zur Algebra und Geometrie
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Lattice points in a circle: An improved mean-square asymptotics
Werner Georg Nowak (2004)
Acta Arithmetica
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Classification systems and their lattice
Sándor Radeleczki (2002)
Discussiones Mathematicae - General Algebra and Applications
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We define and study classification systems in an arbitrary CJ-generated complete lattice L. Introducing a partial order among the classification systems of L, we obtain a complete lattice denoted by Cls(L). By using the elements of the classification systems, another lattice is also constructed: the box lattice B(L) of L. We show that B(L) is an atomistic complete lattice, moreover Cls(L)=Cls(B(L)). If B(L) is a pseudocomplemented lattice, then every classification system of L is independent...