31,500 research outputs found

    q-Differential equations for q-classical polynomials and q-Jacobi-Stirling numbers

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    We introduce, characterise and provide a combinatorial interpretation for the so-called q-Jacobi–Stirling numbers. This study is motivated by their key role in the (reciprocal) expansion of any power of a second order q-differential operator having the q-classical polynomials as eigenfunctions in terms of other even order operators, which we explicitly construct in this work. The results here obtained can be viewed as the q-version of those given by Everitt et al. and by the first author, whilst the combinatorics of this new set of numbers is a q-version of the Jacobi–Stirling numbers given by Gelineau and the second author

    Tour to China, Concert Nanjing, Concert Xi'an; recitals with Ma, L. (cellist), Yin, N. (violinist), Ju, Y. (pianist) Dong, L. (flautist), Ma Li, L. (flautist), Qiao Liang, Q. (flautist) in Nanjing performing Beethoven: Symphony No 1 arr Hummel ( Edition Grodd), Taira:Synchcronie, Bozza: Jour d ete Quartet; Koechlin: Sonata, Hosokawa: Kuroda Bushi Flute and in Xi'an with Dong, L. (flautist),, Gao, Q. (Flautist), Gao, Y. (Flautist), Zhang, K. (Flautist) .

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    Recitals with Ma, L. (cellist), Yin, N. (violinist), Ju, Y. (pianist) Dong, L. (flautist), Ma Li, L. (flautist), Qiao Liang, Q. (flautist) in Nanjing performing Beethoven: Symphony No 1 arr Hummel ( Edition Grodd), Taira:Synchcronie, Bozza: Jour d ete Quartet; Koechlin: Sonata, Hosokawa: Kuroda Bushi Flute and in Xi'an with Dong, L. (flautist),, Gao, Q. (Flautist), Gao, Y. (Flautist), Zhang, K. (Flautist) .Public concerts including world premier of Beethoven Symphony No 1 arr Hummel Edition Grodd, with Head of Strings Prof Ma and colleagues in Nanjing. In Xi'an performance with Head of Flutes Professor Gao. Repertoire: Beethoven: Symphony No 1 arr Hummel ( Edition Grodd), Taira:Synchcronie, Bozza: Jour d ete Quartet; Koechlin: Sonata, Hosokawa: Kuroda Bushi Flutehttp://www.xacom.edu.cn/info/1055/18653.ht

    L2, µ (Q)-estimates for parabolic equations and applications

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    Yin, Hong-Ming. (1992). L2, µ (Q)-estimates for parabolic equations and applications. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/2337

    Supplemental material for Simulation-based sensitivity analysis for non-ignorably missing data

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    Supplemental Material for Simulation-based sensitivity analysis for non-ignorably missing data by Peng Yin and Jian Q Shi in Statistical Methods in Medical Research</p

    Network Q

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    A press release from Network Q announcing that they will begin featuring Brian McNaught, a gay columnist and author, for a monthly segment

    Tobin's Q and Financial Policy

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    Recent research in macroeconomics has emphasized the importance of linking the financial and real sectors and the need for working with optimizing models. Tobin’s Q model of investment would appear to provide a framework that can satisfy these two criteria. In contrast to the original presentation of the Q model, the formal development has not recognized that the firm actively participates in a number of financial markets; in this broader context, we show that Q is likely to be an uninformative and possibly misleading signal for investment expenditures . We then endeavor to turn this negative theoretical result to positive advantage in resolving a number of empirical problems with Q models, but the modifications dictated by the theory receive little support from the data.

    On intersection cohomology and Lagrangian fibrations of irreducible symplectic varieties

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    We prove several results concerning the intersection cohomology and the perverse filtration associated with a Lagrangian fibration of an irreducible symplectic variety. We first show that the perverse numbers only depend on the deformation equivalence class of the ambient variety. Then we compute the border of the perverse diamond, which further yields a complete description of the intersection cohomology of the Lagrangian base and the invariant cohomology classes of the fibers. Lastly, we identify the perverse and Hodge numbers of intersection cohomology when the irreducible symplectic variety admits a symplectic resolution. These results generalize some earlier work by the second and third authors in the nonsingular case

    A Q-learning based multi-strategy integrated artificial bee colony algorithm with application in unmanned vehicle path planning

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    Artificial bee colony (ABC) is a prominent algorithm that offers great exploration capabilities among various meta-heuristic algorithms. However, its monotonous and one-dimensional search strategy limits its searching performance in the solving process. Thus, to address this issue, a Q-learning based multi-strategy integrated ABC algorithm (QMABC) is proposed. In the QMABC, multiple search strategies are proposed to utilize different individual experiences and search approaches for solution updates. Then, Q-learning is employed for strategy selection. In comparison to previous studies, this paper introduces more effective state and action configurations within the framework of Q-learning. To evaluate the performance of the QMABC, CEC 2017 benchmark functions are adopted to compare it to different meta-heuristic algorithms including ABC based and non-ABC based algorithms. Moreover, applications in path planning are implemented to further verify the effectiveness of the QMABC. Overall, it should be highlighted that the proposed QMABC demonstrates superiority in both numerical and practical experiments.Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.Discrete Mathematics and Optimizatio
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