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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Haase, Christian, Nill, Benjamin, Paffenholz, Andreas, Santos, Francisco (2008)
The Electronic Journal of Combinatorics [electronic only]
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S. Szabó (1987)
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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...
Janković, Vladimir (1996)
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Yuichi Futa, Yasunari Shidama (2017)
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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...
Janner, Aloysio (2008)
Computational & Mathematical Methods in Medicine
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