Results 11 to 20 of about 39,377 (316)

Congruence Lattices of Finite Semimodular Lattices [PDF]

Canadian Mathematical Bulletin, 1998
AbstractWe prove that every finite distributive lattice can be represented as the congruence lattice of a finite (planar) semimodular lattice.
Grätzer, G., Lakser, H., Schmidt, E. T.
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Design and Simulation of a Titanium Alloy Lattice Bone Plate for 3D Printing

Shanghai Jiaotong Daxue xuebao, 2021
In order to improve the stress shielding effect caused by excessive elastic modulus of metal plates during fracture healing, a kind of 3D printing oriented lattice structure plate is designed based on topology optimization and the finite element modeling
ZHANG Cong, JIA Dejun, LI Fanchun, XU Yitong, ZHANG Yuan   +4 more
doaj   +1 more source

Percolation in finite matching lattices [PDF]

Physical Review E, 2016
8 pages, 8 ...
Mertens, Stephan, Ziff, Robert M.
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Evaluation of bending strength of lattice-filled tubes with rectangular cross section

Nihon Kikai Gakkai ronbunshu, 2022
In this study, the bending strength of lattice-filled rectangular tubes under three-point loading has been studied using a nonlinear finite element analysis.
Takuma KUMAGAI, Kuniharu USHIJIMA
doaj   +1 more source

Noncommutative lattices as finite approximations [PDF]

Journal of Geometry and Physics, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. P. BALACHANDRAN, BIMONTE, GIUSEPPE ROBERTO, E. ERCOLESSI, G. LANDI, LIZZI, FEDELE, G. SPARANO, P. TEOTONIO SOBRINHO   +6 more
openaire   +4 more sources

Revisiting the Representation Theorem of Finite Distributive Lattices with Principal Congruences. A Proof-By-Picture Approach

Discussiones Mathematicae - General Algebra and Applications, 2021
A classical result of R.P. Dilworth states that every finite distributive lattice D can be represented as the congruence lattice of a finite lattice L. A sharper form was published in G. Grätzer and E.T.
Grätzer G., Lakser H.
doaj   +1 more source

Multipolar Lattice Resonances in Plasmonic Finite-Size Metasurfaces

Photonics, 2021
Collective lattice resonances in regular arrays of plasmonic nanoparticles have attracted much attention due to a large number of applications in optics and photonics.
Artem S. Kostyukov, Ilia L. Rasskazov, Valeriy S. Gerasimov, Sergey P. Polyutov, Sergey V. Karpov, Alexander E. Ershov   +5 more
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Yet Two Additional Large Numbers of Subuniverses of Finite Lattices

Discussiones Mathematicae - General Algebra and Applications, 2019
By a subuniverse, we mean a sublattice or the emptyset. We prove that the fourth largest number of subuniverses of an n-element lattice is 43 2n−6 for n ≥ 6, and the fifth largest number of subuniverses of an n-element lattice is 85 2n−7 for n ≥ 7. Also,
Ahmed Delbrin, Horváth Eszter K.
doaj   +1 more source

Minimización y Maximización de Funciones Casisupermodulares

Selecciones Matemáticas, 2018
This article presents some properties of the casisupermodular function and demonstrates principles of discarding to solve the problem of minimization and maximization of this type of function defined in the family of subsets of a given finite set (finite
Nelson Aragonés Salazar
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Reducing the lengths of slim planar semimodular lattices without changing their congruence lattices [PDF]

Mathematica Bohemica
Following G. Grätzer and E. Knapp (2007), a slim planar semimodular lattice, SPS lattice for short, is a finite planar semimodular lattice having no $M_3$ as a sublattice.
Gábor Czédli
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