LCAO approximation for scaling properties of the Menger sponge fractal
Optics Express, 2006 The electromagnetic eigenmodes of a three-dimensional fractal called the Menger sponge were analyzed by the LCAO (linear combination of atomic orbitals) approximation and a first-principle calculation based on the FDTD (finite-difference time-domain) method.
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The menger-like property of the tree-width of infinite graphs
Journal of Combinatorial Theory, Series B, 1991 The tree-width of a (possibly infinite) graph G is the minimum n such that G may be decomposed into a ``tree-structure'' of pieces each with at most \(n+1\) vertices. We prove that if G has tree-width n, then G can be decomposed in such a way that for every \(k\geq 0\) and any two pieces P and Q of this ``tree-structure'' either there are k disjoint ...
Kříž, Igor, Thomas, Robin
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ROLE OF MIXED SURFACTANTS ON THE OXIDATION OF MALACHITE GREEN BY NITRITE IONS
Academy Journal of Science and Engineering, 2015 The oxidation of malachite green (MG+) with nitrite ions in aqueous solutions of sodium dodecyl sulphate (SDS), Triton X-100 (TX-100), and their mixtures at 25oC has been used as a probe for investigating the catalytic/inhibitive property of SDS/TX-100 ...
J.T. Bamgbose +4 more
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Totally paracompact spaces and the Menger covering property
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Giacopello, Davide +2 more
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A menger-like property of tree-width: The finite case
Journal of Combinatorial Theory, Series B, 1990 The notion of tree-width was introduced by Robertson and Seymour. A graph has tree-width \(\leq w\) if it admits a tree-decomposition of tree-width \(\leq w\). We prove here that if \(G\) is finite and has tree-width \(\leq w\) then it admits a tree-decomposition of tree-width \(\leq w\) which satisfies a certain Menger-like condition.
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A note on the Menger (Rothberger) property and topological games
Topology and its Applications, 2016 Making use of several topological games, a number of conditions either equivalent to or implying either the Menger or Rothberger property are presented. As an example it is shown that a \(T_1\) space \(X\) is Menger (Rothberger) if and only if for each sequence \(\langle\phi_n\rangle\) of neighbourhood assignments for \(X\) and each \(n\) there is a ...
Peng, Liang-Xue, Shen, Zhanchao
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The functional characterizations of the Rothberger and Menger properties
Topology and its Applications, 2018 Let \(X\) be a Tychonoff space and \(C_p(X)\) be the space of all continuous real-valued functions defined on \(X\) with the topology of pointwise convergence. A space \(X\) is said to be Rothberger if for every sequence \(\{ \mathcal{U}_n : n \in\mathbb{N}\}\) of open covers of \(X\), there is a sequence \(\{ V_n : n \in\mathbb{N}\}\) such that \(V_n \
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Absent in Melanoma (AIM)2 Promotes the Outcome of Islet Transplantation by Repressing Ischemia-Induced Interferon (IFN) Signaling. [PDF]
Cells, 2023 Wrublewsky S +5 more
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Caloric Restriction: A Novel Conditioning Strategy to Improve the Survival of Ischemically Challenged Musculocutaneous Random Pattern Flaps. [PDF]
Nutrients, 2023 Weinzierl A +4 more
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Radiographic, Biomechanical and Histological Characterization of Femoral Fracture Healing in Aged CD-1 Mice. [PDF]
Bioengineering (Basel), 2023 Menger MM +8 more
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