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 “On the centre of gravity and width of lattice-constrained convex sets in the plane.”
Two problems concerning the area-perimeter ratio of lattice-point-free regions in the plane.
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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On Lattice Points in Polyhedral Cross-Sections.
N.M. Korneenko, N.N. Metelskij (1993)
Discrete & computational geometry
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Antihomogeneous conjugacy operators in convex analysis.
Rubinov, Alexander (1995)
Journal of Convex Analysis
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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...
On lattice points in large convex bodies
Jingwei Guo (2012)
Acta Arithmetica
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On a Hadwiger-Wills inequality concerning lattice points.
Kołodziejczyk, Krzysztof (1999)
Beiträge zur Algebra und Geometrie
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Successive Minima, Intrinsic Volumes, and Lattice Determinants.
U. Schnell (1995)
Discrete & computational geometry
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Triangulations and lattice points.
Braß, Peter (1993)
Beiträge zur Algebra und Geometrie
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Weighted lattice points in threedimensional convex bodies and the number of lattice points in parts of elliptic paraboloids.
Ekkehard Krätzel (1997)
Journal für die reine und angewandte Mathematik
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The densest lattice in twenty-four dimensions.
Cohn, Henry, Kumar, Abhinav (2004)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Dual Lattice of ℤ-module Lattice
Yuichi Futa, Yasunari Shidama (2017)
Formalized Mathematics
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In this article, we formalize in Mizar [5] the definition of dual lattice and their properties. We formally prove that a set of all dual vectors in a rational lattice has the construction of a lattice. We show that a dual basis can be calculated by elements of an inverse of the Gram Matrix. We also formalize a summation of inner products and their properties. Lattice of ℤ-module is necessary for lattice problems, LLL(Lenstra, Lenstra and Lovász) base reduction algorithm and cryptographic...