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Design topologies optimization in GPON networks based on population densities using k-means clustering algorithm
(IEEEMéxico, 2019)
Most studies for implementation of access networks are generally focused on countries where their areas have high population density, this optimization seeks to provide solutions in countries and cities with a similar ...
Piezoresistive device optimization using topological derivative concepts
(Springer, 2014-10)
A piezoresistive sensor is composed of a piezoresistive membrane attached to a flexible plate. The piezoresistive material is anisotropic, and its electrical properties change when subjected to mechanical stresses. In this ...
A 1D topological insulator for light
(2020)
A 1D photonic topological insulator is the photonic realization of a 1D topological insulator. We show how the calculation of a topological invariant, known as the Zak phase, is a useful tool to identify different topologies ...
A homological version of the implicit function theorem
(Springer, 2006-06-01)
Our objective in this paper is to prove an Implicit Function Theorem for general topological spaces. As a consequence, we show that, under certain conditions, the set of the invertible elements of a topological monoid X ...
A homological version of the implicit function theorem
(Springer, 2006-06-01)
Our objective in this paper is to prove an Implicit Function Theorem for general topological spaces. As a consequence, we show that, under certain conditions, the set of the invertible elements of a topological monoid X ...
Topological sensitivity analysis in heterogeneous anisotropic elasticity problem. Theoretical and computational aspects
(Elsevier Science Sa, 2016-11)
The topological sensitivity analysis for the heterogeneous and anisotropic elasticity problem in two-dimensions is performed in this work. The main result of the paper is an analytical closed-form of the topological ...
Topological bi-K-equivalence of pairs of map germs
(2018-01-01)
Let Pk(n, p × q) be the set of all pairs of real polynomial map germs (f, g): (ℝn; 0) → (ℝp × ℝq; 0) with degree of f1, . . ., fp, g1, . . ., gq less than or equal to k 2 N. The main result of this paper shows that the set ...
NATURAL TOPOLOGIES ON COLOMBEAU ALGEBRAS
(JULIUSZ SCHAUDER CTR NONLINEAR STUDIES, 2009)
We define intrinsic, natural and metrizable topologies T(Omega), T, T(s,Omega) and T(s) in G(Omega), (K) over bar, G(s)(Omega) and (K) over bar (s) respectively. The topology T(Omega) induces T, T(s,Omega) and T(s). The ...