31,889 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

    The linear complexity of whiteman's generalized cyclotomic sequences of period p {m+1}q n+1

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    In this paper, we mainly get three results. First, let p, q be distinct primes with \gcd ((p-1)p,(q-1)q)=\gcd (p-1,q-1)=e ; we give a method to compute the linear complexity of Whiteman's generalized cyclotomic sequences of period p^{m+1}q n+1. Second, if e=4, we compute the exact linear complexity of Whiteman's generalized cyclotomic sequences. Third, if p \equiv q \equiv 5∼({\rm mod}∼8), \gcd (p-1, q-1)=4, and we fix a common primitive root g of both p and q, then 2\in H-{0}=(g), which is a subgroup of the multiplicative group Z-{pq} \ast, if and only if Whiteman's generalized cyclotomic numbers of order 4 depend on the decomposition pq=a^{2}+4b 2 with 4\vert b. © 1963-2012 IEEE.link_to_subscribed_fulltex

    P/Q-type calcium-channel blockade in the periaqueductal gray facilitates trigeminal nociception: a functional genetic link for migraine?

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    The discovery of mis-sense mutations in the alpha1A subunit of the P/Q-type calcium channel in patients with familial hemiplegic migraine indicates the potential involvement of dysfunctional ion channels in migraine. The periaqueductal gray (PAG) region of the brainstem modulates craniovascular nociception and, through its role in the descending pain modulation system, may contribute to migraine pathophysiology. In this study we sought to investigate the possible link between the genetic mutations found in migraineurs and the PAG as a modulator of craniovascular nociception. We microinjected the P/Q-type calcium-channel blocker omega-agatoxin IVA into the rat ventrolateral PAG (vlPAG). We examined its effect on the nociceptive transmission of second-order neurons recorded in the trigeminal nucleus caudalis and activated by stimulation of the parietal dura mater. After injection of agatoxin into the vlPAG (n = 20) responses to dural stimulation were facilitated by 143% (p &lt; 0.0001) for Adelta-fiber activity and 180% for C-fiber activity (p &lt; 0.05). Similarly, spontaneous background activity increased by 163% (p &lt; 0.0001). These results demonstrate that P/Q-type calcium channels in the PAG play a role in modulating trigeminal nociception and suggest a role for dysfunctional P/Q-type calcium channels in migraine pathophysiology.<br/

    The L-p-to-L-q boundedness of commutators with applications to the Jacobian operator

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    Supplying 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

    Factorization of (q, p)-summing polynomials through Lorentz spaces

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    [EN] We present a vector valued duality between factorable (q,p)-summing polynomials and (q,p)-summing linear operators on symmetric tensor products of Banach spaces. Several applications are provided. First, we prove a polynomial characterization of cotype of Banach spaces. We also give a variant of Pisier's factorization through Lorentz spaces of factorable (q,p)-summing polynomials from C(K)-spaces. Finally, we show a coincidence result for (q,p)-concave polynomials.(c) 2016 Elsevier Inc. All rights reserved.The first named author was supported by The National Science Centre (NCN), Poland, project no. 2011/01/B/ST1/06243. The second and third authors were supported by the Ministerio de Economia y Competitividad (Spain) under project MTM2016-77054-C2-1-P.Mastylo, M.; Rueda, P.; Sánchez Pérez, EA. (2017). Factorization of (q, p)-summing polynomials through Lorentz spaces. Journal of Mathematical Analysis and Applications. 449(1):195-206. https://doi.org/10.1016/j.jmaa.2016.12.005S195206449

    Pragmática das perguntas Como P, se Q? e Como não P, se Q?

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    In this study the author analyses how questions of the format "Como p, se q?" (How p, if q?) and "Como não p, se q?" (How not p, if q?) work in Portuguese discourse. Some relevant pragmatic features of these questions are emphasized

    Hu Feng wen ji.

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    Chapter 第一輯理想主義者時代底囘憶 ---p.2Chapter 第二輯悲痛的告別 ---p.12關於魯迅精神底二三基點 ---p.17從'有一分熱發一分光'生長起來的 ---p.19Chapter 第三輯文學史上的五.四 ---p.34從冬天想起的 ---p.37Chapter 第四輯林語論堂 ---p.42田間底詩 ---p.62吹蘆笛的詩人 ---p.66憶東平 ---p.74Chapter 第五輯'過客'小釋 ---p.88論'北京人' ---p.90靑春底詩 ---p.101Chapter 第六輯文藝界風習一景 ---p.108漫談個人主義 ---p.112略論文學無門 ---p.115答文藝問題上的若幹質疑 ---p.119Chapter 第七輯流氓哲學 ---p.128棘源村斷想 ---p.131Chapter 一關於丑角Chapter 二印象論Chapter 三另一種阿Q精神或者叫'量決定質的哲學'Chapter 四齊家之道舉例Chapter 五一個母親底過年法以及由這引起的風波死人復活的時候 ---p.139半侖村斷想 ---p.146Chapter 一想到幾個小故事Chapter 二懷古Chapter 三人民底三相論'大國之風'種種 ---p.153關於'善意的第三人' ---p.163空洞的話 ---p.166上海是一個海 ---p.168在瘋狂的時代裏面 ---p.174[著作者胡風(張光人)].[zhu zao zhe Hu, Feng(Zhang Guang Ren)]

    Performance Evaluation of Distributed-Antenna Communications Systems Using Beam-Hopping

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    Digital beamforming (DBF) techniques are capable of improving the performance of communications systems significantly. However, if the transmitted signals are conflicted with strong interference, especially, in the direction of the transmitted beams , these directional jamming signals will severely degrade the system performance. In order to efficiently mitigate the interference of the directional jammers, in this contribution a beam-hopping (BH) communications scheme is proposed. In the proposed BH communications scheme, only one pair of the beams is used for transmission and it hops from one to the next according to an assigned BH pattern. In this contribution a range of expressions in terms of the average SINR performance have been derived, when both the uplink and downlink are considered. The average SINR performance of the proposed BH scheme and that of the conventional single-beam (SB) as well as multiple-beam (MB) assisted beam-processing schemes have been investigated. Our analysis and results show that the proposed BH scheme is capable of efficiently combating the directional jamming, with the aid of utilizing the directional gain of the beams generated by both the transmitter and the receiver. Furthermore, the BH scheme is capable of reducing the intercept probability of the communications. Therefore, the proposed BH scheme is suitable for communications, when several distributed antenna arrays are available around a mobile

    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.
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