8,231 research outputs found
q-Differential equations for q-classical polynomials and q-Jacobi-Stirling numbers
No full textWe 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
De Maiestate / Praeside M. Jacobo Thomasio, Moralis Philosoph. P. P., publice disputabit Johannes Dunte, R. L. Author & Respon: ad diem 9. Septembr. H L. Q. C.
No full textDE MAIESTATE / PRAESIDE M. JACOBO THOMASIO, MORALIS PHILOSOPH. P. P., PUBLICE DISPUTABIT JOHANNES DUNTE, R. L. AUTHOR & RESPON: AD DIEM 9. SEPTEMBR. H L. Q. C.
De Maiestate / Praeside M. Jacobo Thomasio, Moralis Philosoph. P. P., publice disputabit Johannes Dunte, R. L. Author & Respon: ad diem 9. Septembr. H L. Q. C. (1)
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Beiträge (21
The L-p-to-L-q boundedness of commutators with applications to the Jacobian operator
No full textSupplying the missing necessary conditions, we complete the characterisation of the L-p -> L-q boundedness of commutators [b, T] of pointwise multiplication and Calderon-Zygmund operators, for arbitrary pairs of 1 q, our results are new even for special classical operators with smooth kernels. As an application, we show that every f is an element of L-p(R-d) can be represented as a convergent series of normalised Jacobians J(u) = det del uof u is an element of (over dot(W))(1,dp)(R-d)(d). This extends, from p = 1 to p > 1, a result of Coifman, Lions, Meyer and Semmes about J:. (over dot(W))(1,d)(R-d)(d) -> H-1(R-d), and supports a conjecture of Iwaniec about the solvability of the equation Ju = f is an element of L-p(R-d). (C) 2021 The Author(s). Published by Elsevier Masson SAS.Peer reviewe
Integrated train rescheduling and passenger reassignment for disrupted high-speed railway networks: A hierarchical Benders decomposition and column generation approach
No full textDisruptions can render parts of the critical transportation systems unavailable, forcing both trains and passengers to adapt. This study addresses the integrated rescheduling problem in a high-speed railway network during severe disruptions, focusing on train routing, timetable adjustments, and passenger reassignment. We employ rescheduling strategies that allow disrupted trains to reroute through alternative paths within stations and across the network, utilizing remaining capacity to ensure reliable service for affected passengers. To tackle this issue, we propose a path-based mixed-integer linear programming (MILP) model based on detailed space–time networks, aiming to minimize total train delays and passenger inconvenience caused by disruptions. However, solving this integrated model using the column generation method presents convergence challenges as the problem scale increases. To address these challenges, we introduce a hierarchical solution framework with two main components: (1) a Benders decomposition-based procedure to iteratively capture the interaction between train rescheduling and passenger reassignment, and (2) two column generation procedures to explore promising space–time paths for both trains and passengers. Additionally, a dynamic constraint generation technique is integrated to further accelerate the solution process. Numerical experiments using real-world data from Chinese high-speed railway network validate the effectiveness of the proposed approach. The results show that our method delivers high-quality solutions within an acceptable time frame, efficiently reassigning passengers and rerouting trains during disruptions. Experimental findings also reveal that integrated modeling improves overall efficiency by 17.32% on average compared to sequential modeling. Furthermore, the proposed hierarchical algorithm significantly outperforms traditional column generation methods, reducing computation time by an average of 53.82%
Sarah L. Blum Author Visit - Warrior Nurse: PTSD and Healing
No full textHear Sarah L. Blum, author of Women Under Fire: Abuse in the Military, discuss her newest book, Warrior Nurse: PTSD and Healing followed by a Q&A and book signing.
Sarah L. Blum is a decorated Vietnam veteran who served as an operating room nurse during the intense fighting of 1967. In recognition of her service, she was awarded the Army Commendation Medal.
Sponsored by CWU Veterans Center and CWU Libraries.https://digitalcommons.cwu.edu/libraryevents/1252/thumbnail.jp
On conditional expectations in L <sup>p</sup> (μ; L <sup>q</sup> (ν; X))
No full text Let (A, A, μ) and (B, B, ν) be probability spaces, let F be a sub-σ-algebra of the product σ-algebra A× B, let X be a Banach space and let 1 < p, q< ∞. We obtain necessary and sufficient conditions in order that the conditional expectation with respect to F defines a bounded linear operator from L p (μ; L q (ν; X)) onto LFp(μ;Lq(ν;X)), the closed subspace in L p (μ; L q (ν; X)) of all functions having a strongly F-measurable representative. Analysi
FIG. 3. — Rhytidhysteron ligustrum X.-L in Multigene phylogenetic support for novel Rhytidhysteron Speg. species (Hysteriaceae) from Sichuan Province, China
No full textFIG. 3. — Rhytidhysteron ligustrum X.-L. Xu & C.-L. Yang, sp. nov. (holo-, SICAU 20-0004): A, appearance of apothecia on host; B, C, ascomata; D, vertical section of hysteriothecium; E, exciple; F, pseudoparaphyses; G-K, asci; L, ocular chamber; M, germinated ascospores; N-Q, ascospores; R, colonies on PDA for five days. Scale bars: A, 1 mm; B, C, 0.5 mm; D, 100 μm; E-K, 20 μm; L-Q, 10 μm.Published as part of Xu, Xiu-Lan, Xiao, Qian-Gang, Yang, Chun-Lin, Jeewon, Rajesh & Liu, Ying-Gao, 2022, Multigene phylogenetic support for novel Rhytidhysteron Speg. species (Hysteriaceae) from Sichuan Province, China, pp. 63-79 in Cryptogamie, Mycologie 20 (3) on page 71, DOI: 10.5252/cryptogamie-mycologie2022v43a3, http://zenodo.org/record/781528
- estimates for damped wave equations with odd initial data
No full textWe study the Cauchy problem for the damped wave equation. In a previous paper [16] the author has shown the - estimates between the solutions of the damped wave equation and the solutions of the corresponding heat equation. In this paper, we show new - estimates for the damped wave equation with odd initial data
On the weighted variable exponent amalgam space W(L-P(X) , L-M(Q))
No full textGürkanlı, Ahmet Turan (Arel Author)In [4], a new family W(L-p(x), L-m(q))of Wiener amalgam spaces was defined and investigated some properties of these spaces, where local component is a variable exponent Lebesgue space L-p(x) (R) and the global component is a weighted Lebesgue space L-m(q) (R). This present paper is a sequel to our work [4]. In Section 2, we discuss necessary and sufficient conditions for the equality W (L-p(x), L-m(q)) = L-q (R). Later we give some characterization of Wiener amalgam space W (L-p(x), L-m(q)). In Section 3 we define the Wiener amalgam space W (FLp(x), L-m(q)) and investigate some properties of this space, where FLp(x) is the image of L-p(x)) under the Fourier transform. In Section 4, we discuss boundedness of the Hardy-Littlewood maximal operator between some Wiener amalgam spaces
Some new Hardy spaces (0 < q ≤ 1)
No full textFor 0 < q ≤ 1, the author introduces a new Hardy space on the product domain, and gives its generalized Lusin-area characterization. From this characterization, a φ-transform characterization in M. Frazier and B. Jawerth's sense is deduced
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