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  1. 401

    On a conjecture for the difference equation $ x_{n+1} = 1+p\frac{x_{n-m}}{x_n^2} $ by George L. Karakostas

    Published 2023-07-01
    “…Tasdemir, et al. proved that the positive equilibrium of the nonlinear discrete equation $ x_{n+1} = 1+p\frac{x_{n-m}}{x_n^2} $ is globally asymptotically stable for $ p\in(0, \frac{1}{2}) $, {locally} asymptotically stable for $ p\in(\frac{1}{2}, \frac{3}{4}) $ and it was { conjectured} that for any $ p $ in the open interval $ (\frac{1}{2}, \frac{3}{4}) $ the equilibrium is { globally} asymptotically stable. …”
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    Detailed Studies on the Methoxylation and Subsequent Dealkylation of <i>N,N</i>-Diethylbenzenesulfonamide Using a Tailor-Made Electrosynthetic Reactor by Ernák F. Várda, Imre Gyűjtő, Ferenc Ender, Richárd Csekő, György T. Balogh, Balázs Volk

    Published 2024-11-01
    “…Herein, we report detailed studies on the electrochemical mono- and dideethylation of model compound <i>N,N</i>-diethylbenzenesulfonamide. In this context, all parameters of the electrosynthesis were systematically investigated, with a special emphasis on solvent screening and the effect of water on the outcome of the reaction. …”
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    Effect of plasma beta on the nonlinear evolution of m/n = 2/1 double tearing mode in high Lundquist number regime by Dingzong Zhang, Zhaoqing Wu, Jun Ma, Wenfeng Guo, Yanqing Huang, Hongbo Liu

    Published 2025-01-01
    “…In this paper, the effect of plasma beta on the nonlinear evolution of the m / n = 2/1 DTM in large Lundquist number regime is numerically investigated in a cylinder geometry. …”
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  10. 410

    Synthesis of N-phenyl- and N-thiazolyl-1H-indazoles by copper-catalyzed intramolecular N-arylation of ortho-chlorinated arylhydrazones by Yara Cristina Marchioro Barbosa, Guilherme Caneppele Paveglio, Claudio Martin Pereira de Pereira, Sidnei Moura, Cristiane Storck Schwalm, Gleison Antonio Casagrande, Lucas Pizzuti

    Published 2022-08-01
    “…Thus, this approach is valuable for promoting the synthesis of N-phenyl-1H-indazoles in a higher yield than that reported in the literature using copper catalysis and the same substrates. …”
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    <i>N</i>-(<i>p</i>-Toluenesulfonyl)-1-(4′-acetylphenoxy)acrylimidate: Synthesis, Crystal Structure and Theoretical Studies by Flor María Escandón-Mancilla, Alberto Cedillo-Cruz, Raúl Eduardo Gordillo-Cruz, Diego Martínez-Otero, M. V. Basavanag Unnamatla, Erick Cuevas-Yañez

    Published 2022-11-01
    “…The formation of N-sulfonyl-1-aryloxy acrylimidate is described, for the first time, from a consecutive process, which involves a CuAAC reaction, a ketenimine formation and subsequent rearrangement between an aryl propargyl ether and a sulfonyl azide. …”
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    Recent Advances in Catalytic and Technology-Driven Radical Addition to <i>N</i>,<i>N</i>-Disubstituted Iminium Species by Sylvain Oudeyer, Vincent Levacher, Hélène Beucher, Jean-François Brière

    Published 2023-01-01
    “…In this context, this review intends to cover the recent advances in radical-based transformations of <i>N</i>,<i>N</i>-disubstituted iminium substrates that encompass unique reactivities with respect to imines or protonated iminium salts. …”
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