4,131 research outputs found

    Fig. 4. X in Bioactive sesterterpenoids from the fungus Penicillium roqueforti YJ-14

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    Fig. 4. X-ray crystal structure of 2.Published as part of Wang, Jia-Peng, Shu, Yan, Liu, Rui, Gan, Jun-Li, Deng, Si-Ping, Cai, Xue-Yun, Hu, Jun-Tao, Cai, Le & Ding, Zhong-Tao, 2021, Bioactive sesterterpenoids from the fungus Penicillium roqueforti YJ-14, pp. 1-7 in Phytochemistry (112762) 187 on page 5, DOI: 10.1016/j.phytochem.2021.112762, http://zenodo.org/record/825899

    Fig. 1 in Bioactive sesterterpenoids from the fungus Penicillium roqueforti YJ-14

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    Fig. 1. Structures of 1–7.Published as part of Wang, Jia-Peng, Shu, Yan, Liu, Rui, Gan, Jun-Li, Deng, Si-Ping, Cai, Xue-Yun, Hu, Jun-Tao, Cai, Le & Ding, Zhong-Tao, 2021, Bioactive sesterterpenoids from the fungus Penicillium roqueforti YJ-14, pp. 1-7 in Phytochemistry (112762) 187 on page 2, DOI: 10.1016/j.phytochem.2021.112762, http://zenodo.org/record/825899

    A new kind of double phase elliptic inclusions with logarithmic perturbation terms I: Existence and extremality results

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    This paper is devoted to introduce a new double phase elliptic inclusion problem (DPEI) involving nonlinear and nonhomogeneous partial differential operator which has unbalanced growth and logarithmic perturbation terms, and two multivalued functions which are defined in the domain and its boundary. The main goal of this paper is to establish the existence and extremality results to the elliptic inclusion problem under consideration. More exactly, we give the definitions of weak solutions, subsolutions and supersolutions to (DPEI). Then, under the coercive setting, an existence theorem of weak solutions to (DPEI) is obtained by employing a surjectivity theorem for pseudomonotone operators. Moreover, in the noncoercive framework, we apply the method of sub-supersolution combined with the nonsmooth calculus analysis and truncation techniques to prove that (DPEI) has at least a weak solution within an ordered interval of sub-supersolution. Finally, when the constraint set K satisfies a lattice condition, the existence of smallest and greatest elements of solution set to (DPEI) is established

    On the LYJ(ξ,η,X)L_{\mathrm{YJ}}(ξ, η, X) constant for the Banaś-Frączek space

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    In this paper, for any λ1,Rλ2λ\geq 1, R_λ^2 is the Banaś-Frączek space. The exact value of LYJ(ξ,η,X)L_{\mathrm{YJ}}(ξ, η, X) for this space will be calculated. Specifically, LYJ(ξ,η,Rλ2)=1+2ξηξ2+η2(11λ2)L_{\mathrm{YJ}}\left(ξ, η, R_λ^2\right)=1+\frac{2 ξη}{ξ^2+η^2}\left(1-\frac{1}{λ^2}\right) is the result thereafter through meticilous computation.for associated mpeg file, see http://myhost.domain/file.mp

    Supplementary - Metabonomic analysis of toxic action of long-term low-level exposure to acrylamide in rat serum

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    Supplementary for Metabonomic analysis of toxic action of long-term low-level exposure to acrylamide in rat serum by C Cao, H Shi, M Zhang, L Bo, L Hu, S Li, S Chen, S Jia, YJ Liu, YL Liu, X Zhao and L Zhang in Human & Experimental Toxicology</p

    Finite-time cascade-like tracking control of direct-drive wave energy converters

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    In this paper, sufficiently addressing power take-off dynamics, high-accuracy tracking problem of the direct -drive wave energy converter (DWEC) which is inevitably disturbed by complex unknowns is solved by creating a finite-time cascade-like tracking control (FCTC) scheme. More specifically, a cascade structure of the DWEC system is initially built by finely taking d-axis current dynamics into account such that accurate tracking of wave energy can be hierarchically accommodated by independently designing cascade-like control laws for d-and q-voltages. Then, to exactly compensate complex unknowns including unmodeled dynamics and disturbances, a finite-time observer is devised within the foregoing cascade structure, and facilitates the cascade-like controller synthesis whereby the backbone can be rationally decoupled. Within the entire FCTC scheme, d-axis current tracking dynamics can be sufficiently addressed so as to significantly enhance tracking accuracy of wave energy. Eventually, rigorous analysis ensures that both wave displacement and velocity tracking errors are globally exponentially stable. Simulation results and comparisons with typical methods demonstrate remarkable performance and superiority of the proposed FCTC scheme

    A new kind of double phase elliptic inclusions with logarithmic perturbation terms II: Applications

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    This paper studies several special cases of a double phase elliptic inclusion problem (DPEI) that involves a nonlinear and nonhomogeneous partial differential operator with unbalanced growth and logarithmic perturbation terms, and two multivalued functions defined in the domain and its boundary. We establish existence and extremality results, focusing on the following two assumptions: the multivalued terms are formulated by the Clarke's generalized subdifferential operators of locally Lipschitz functions; the multivalued terms are generated by discontinuous multifunctions. When the appropriate multivalued functions are formulated by two interval functions, we develop a unifying method to construct the nontrivial sub- and supersolutions for the inequalities and inclusions under considerations, hence we obtain suitable existence and extremality results
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