Chernoff Information between Gaussian Trees
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In this paper, we aim to provide a systematic study of the relationship between Chernoff information and topological, as well as algebraic properties of the corresponding Gaussian tree graphs for the underlying graphical testing problems. We first show the relationship between Chernoff information and generalized eigenvalues of the associated covariance matrices. It is then proved that Chernoff information between two Gaussian trees sharing certain local subtree structures can be transformed into that of two smaller trees. Under our proposed grafting operations, bottleneck Gaussian trees, namely, Gaussian trees connected by one such operation, can thus be simplified into two 3-node Gaussian trees, whose topologies and edge weights are subject to the specifics of the operation. Thereafter, we provide a thorough study about how Chernoff information changes when small differences are accumulated into bigger ones via concatenated grafting operations. It is shown that the two Gaussian trees connected by more than one grafting operation may not have bigger Chernoff information than that of one grafting operation unless these grafting operations are separate and independent. At the end, we propose an optimal linear dimensional reduction method related to generalized eigenvalues.Keywords:
Tree (set theory)
Information Theory
Cotton fabrics are grafted by monochlorotriazinyl-β-cyclodextrin (MCT-β-CD) and β-cyclodextrin is fixed permanently on the cotton fabrics to prepare fragrant fabric. The factors affecting the grafting of MCT-β-CD into the cotton fabric are studied. The optimum grafting procedure is determined by orthogonal experiment. The wash fastness of the MCT-β-CD grafted fabric is tested. The results of experiments show that cotton fabric finished by MCT-β-CD has high grafting ratio and water fastness.
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Simulations are an important tool in network research. As the selected topology often influences the outcome of the simulation, realistic topologies are needed to produce realistic simulation results. Using several similarity metrics to compare artificially generated topologies with real world topologies this paper gives hints on how to use the widespread topology generators BRITE, TIERS, and GT-ITM to create realistic topologies.
Comparison of topologies
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Grafting copolymerization of acrylic acid onto flax fabrics initiated by plasma has been studied. FTIR spectrum indicate that -COO- group in the grafted flax increase. SEM image shows that grafted flax surface is rougher and heavier. The effects of plasma power, initiating time, grafting temperature and monomer concentration on graft yields are investigated. It is found that the flax surface grafting can be optimized by the follwing processing conditions: 200W of plasma power, 150s of initiating time, 60℃ of grafting temperature, and 40% of monomer concentration.
Acrylic acid
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Topologies arise from the practice of design development. Notably, network topologies refer to the manner in which nodes are connect to foster an interaction. Specifically, topologies constitute network structures that define the process through which nodes communicate. This paper focuses on the bus, ring, and star topologies, examining their performance strengths and demerits.
Star (game theory)
Star network
Comparison of topologies
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In this paper, The development of the topologies in multilevel converters is summarized and the relationship between the different topologies is analyzed. A conclusion that all existing topologies can be deduced from the generalized topology is obtained. Then two novel topologies are proposed. The operating concept and control strategy of the novel topologies are studied. Simulation results show the validity and feasibility of the novel topologies.
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This paper reports the grafting polymerization of acrylic acid onto flax fabric initiated by plasma. FTIR spectrum and indicate that —COO— group in the grafted flax increase. SEM image shows that grafted flax surface is rougher and heavier. The effects of plasma power, initiating time, grafting temperature and monomer concentration on grafting yields are investigated. It is found that optimum process conditions of grafting are that plasma power is 200W, initiating time is 150s, grafting temperature is 60℃, monomer concentration is 40%.
Acrylic acid
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