Results 11 to 20 of about 10,704 (205)
Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]
Adv Intell DiscovThis article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
europepmc +2 more sources
Constructing Simplicial Branched Covers [PDF]
, 2007 Branched covers are applied frequently in topology - most prominently in the construction of closed oriented PL d-manifolds. In particular, strong bounds for the number of sheets and the topology of the branching set are known for dimension ...
Witte, Nikolaus
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INKJET PRINTING OF HIGH REFRACTIVE STRUCTURES BASED ON TiO2 SOL [PDF]
Научно-технический вестник информационных технологий, механики и оптики, 2016 Subject of Research. The paper deals with description of novel inkjet printing method for optical elements formed by structures based on TiO2 sol. The proposed approach presents effective way to obtain such optical nano objects as diffraction structures ...
Elena A. Eremeeva +3 more
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An Efficient Framework Model for Optimizing Routing Performance in VANETs
Sensors, 2018 Routing in Vehicular Ad hoc Networks (VANET) is a bit complicated because of the nature of the high dynamic mobility. The efficiency of routing protocol is influenced by a number of factors such as network density, bandwidth constraints, traffic load ...
Nori M. Al-Kharasani +3 more
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simpcomp -- A GAP toolbox for simplicial complexes [PDF]
, 2010 simpcomp is an extension (a so called package) to GAP, the well known system for computational discrete algebra. The package enables the user to compute numerous properties of (abstract) simplicial complexes, provides functions to construct new complexes
Colin +5 more
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Stellar theory for flag complexes [PDF]
, 2014 Refining a basic result of Alexander, we show that two flag simplicial complexes are piecewise linearly homeomorphic if and only if they can be connected by a sequence of flag complexes, each obtained from the previous one by either an edge subdivision ...
Lutz, Frank H., Nevo, Eran
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The Vehicle-to-Vehicle Link Duration Scheme Using Platoon-Optimized Clustering Algorithm
IEEE Access, 2019 In the scenario of the vehicle network, the unstable vehicle to vehicle (V2V) connectivity caused by a high-speed vehicle movement is improved through efficient clustering algorithm to some extent.
Zufan Zhang, Kun Xu, Chenquan Gan
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Feynman Diagrams of Generalized Matrix Models and the Associated Manifolds in Dimension 4 [PDF]
, 2000 The problem of constructing a quantum theory of gravity has been tackled with very different strategies, most of which relying on the interplay between ideas from physics and from advanced mathematics.
Ambjorn +25 more
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Virtual and Physical PrototypingImplant designs highly influence their biomechanical performances when fixed with load-bearing long bone fractures. In this research work, the topology optimisation technique was used to obtain different shapes and designs of the bone plates according to
Ali Mehboob +4 more
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AerospaceLow Earth orbit (LEO) satellite networks require real-time routing to cope with dynamic topology variations caused by continuous orbital motion. As an alternative to conventional routing approaches, deep reinforcement learning (DRL) has recently gained ...
Bogeun Jo +3 more
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