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Mostrando ítems 661-670 de 671
Artículo
Shortcut sets for the locus of plane Euclidean networks
(Elsevier, 2018)
We study the problem of augmenting the locus N of a plane Euclidean network N by in- serting iteratively a finite set of segments, called shortcut set , while reducing the diameterof the locus of the resulting network. ...
Artículo
Sequential density techniques for an approximate Radon-Nikodym theorem
(Springer, 2007)
We deal with the problem of approximate representation of linear functionals and show how the sequential density techniques may be used for solution.
Artículo
Hamiltonian triangular refinements and space-filling curves
(Elsevier, 2019)
We have introduced here the concept of Hamiltonian triangular refinement. For any Hamiltonian triangulation it is shown that there is a refinement which is also a Hamiltonian triangulation and the corresponding Hamiltonian ...
Artículo
Derivation of a bilayer model for shallow water equations with viscosity. Numerical validation
(Tech Science Press, 2009)
In this work we present a new two-dimensional bilayer Shallow-Water model including viscosity and friction effects on the bottom and interface level. It is obtained following [[6]] from an asymptotic analysis of non-dimensional ...
Artículo
Complete maximal surfaces in static Robertson–Walker 3-spaces
(Springer, 2007)
We construct a large family of complete maximal surfaces in the static Robertson–Walker 3-spaces with negative base curvature. These examples provide a wide variety of non-standard foliations of such spaces by entire ...
Artículo
Stable and Isoperimetric Regions in Rotationally Symmetric Tori with Decreasing Gauss Curvature
(Indiana University Mathematics Department, 2007)
In this work we classify the stable regions (second order minima of perimeter under an area constraint) in tori of revolution with piecewise continuous decreasing Gauss curvature from the longest parallel and with a ...
Artículo
Modular Schur numbers
(Electronic Journal of Combinatorics, 2013)
For any positive integers l and m, a set of integers is said to be (weakly) l-sum free modulo m if it contains no (pairwise distinct) elements x1, x2, . . . , xl , y satisfying the congruence x1 + . . . + xl ≡ y mod m. ...
Artículo
Trainable and explainable simplicial map neural networks
(ELSEVIER SCIENCE INC, 2024)
Simplicial map neural networks (SMNNs) are topology-based neural networks with interesting properties such as universal approximation ability and robustness to adversarial examples under appropriate conditions. However, ...
Artículo
A new topological entropy-based approach for measuring similarities among piecewise linear functions
(Elsevier, 2017)
In this paper we present a novel methodology based on a topological entropy, the so-called persistent entropy, for addressing the comparison between discrete piecewise linear functions. The comparison is certi ed by the ...
Artículo
The nth root of a braid is unique up to conjugacy
(Mathematical Sciences Publishers, 2003-11-01)
We prove a conjecture due to Makanin: if α and β are elements of the Artin braid group Bn such that α k = β k for some nonzero integer k, then α and β are conjugate. The proof involves the Nielsen-Thurston classification ...