11,021 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

    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.

    [Index tab labeled "Q-R" #2]

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    Index tab labeled "Q-R", by an unknown author

    Event-Based Communication in Distributed Q-Learning

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    We present an approach to reduce the communication of information needed on a Distributed Q-Learning system inspired by Event Triggered Control (ETC) techniques. We consider a baseline scenario of a Distributed Q-Learning problem on a Markov Decision Process (MDP). Following an event-based approach, N agents sharing a value function explore the MDP and compute a trajectory-dependent triggering signal which they use distributedly to decide when to communicate information to a central learner in charge of computing updates on the action-value function. These decision functions form an Event Based distributed Q learning system (EBd-Q), and we derive convergence guarantees resulting from the reduction of communication. We then apply the proposed algorithm to a cooperative path planning problem, and show how the agents are able to learn optimal trajectories communicating a fraction of the information. Additionally, we discuss what effects (desired and undesired) these event-based approaches have on the learning processes studied, and how they can be applied to more complex multi-agent systems.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.Team Manuel Mazo J

    Autobiographical Elements in the Novel Dream of the Red Chamber: Parallels Between the Decline of the Jia Family and the Life of Cao Xueqin

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    Diplomska naloga se poglablja v raziskovanje, kako so življenjske izkušnje Cao Xueqina vplivale na njegovo literarno upodobitev propada družine Jia v romanu Sanje v rdeči sobi. Cao Xueqin, ki je bil rojen v nekoč zelo vplivno, a v času njegovega življenja že propadajočo družino Cao, je svoje osebne izkušnje prenesel v svoje delo, kar je v veliki meri zaznamovalo njegovo pisanje. V nalogi natančno preučujem, kako so se avtorjevi osebni stiki z družbenimi, političnimi in ekonomskimi razmerami v obdobju dinastije Qing (1644–1912) odražali v njegovem pisanju, zlasti v prikazu družine Jia, ki se sooča s podobnimi težavami kot njegova lastna družina. Analiza razkriva, da sta usoda družine Cao in fiktivna zgodba družine Jia tesno prepleteni. Notranji konflikti, finančna nesposobnost upravljanja in postopno oddaljevanje od političnega vpliva so ključni elementi, ki so prispevali k propadu obeh družin. Cao Xueqin skozi lik Jia Baoyuja izraža svoje nezadovoljstvo s tradicionalno družbo, njeno moralno propadanje in družbenimi normami, ki so prevladovale v njegovem času. S primerjavo med resničnimi zgodovinskimi dogodki, ki so zaznamovali Caojevo družino, in fiktivno zgodbo, ki jo razgrinja roman, naloga osvetljuje, kako so avtorjeve osebne izkušnje neposredno vplivale na ustvarjanje tega literarnega dela. Sanje v rdeči sobi tako ne predstavljajo le literarnega dosežka, temveč tudi dragocen zgodovinski vir, ki ponuja vpogled v kompleksne družbene in politične razmere v obdobju dinastije Qing. Raziskava v tej nalogi prinaša pomembne vpoglede v način, kako so Cao Xueqinove življenjske izkušnje vplivale na njegov literarni opis, in razkriva, da roman ni le umetniška stvaritev, temveč tudi kritični komentar družbene realnosti njegovega časa. Takšna analiza pomaga bolje razumeti ne le pomen Sanj v rdeči sobi kot enega najpomembnejših del kitajske klasične književnosti, temveč tudi njegovo globoko povezavo s stvarnostjo in zgodovinskim kontekstom, v katerem je nastalo.The thesis delves into the exploration of how Cao Xueqin\u27s life experiences influenced his literary depiction of the Jia family\u27s decline in the novel Dream of the Red Chamber. Cao Xueqin, who was born into a once highly influential but declining Cao family during his lifetime, transferred his personal experiences into his work, which significantly shaped his writing. The thesis closely examines how the author\u27s personal connections with the social, political, and economic conditions during the Qing dynasty are reflected in his writing, particularly in the portrayal of the Jia family, which faces challenges similar to those of his own family. The analysis reveals that the fate of the Cao family and the fictional story of the Jia family are intricately intertwined. Internal conflicts, financial mismanagement, and gradual distancing from political influence are key elements that contributed to the downfall of both families. Through the character of Jia Baoyu, Cao Xueqin expresses his dissatisfaction with the feudal society, its moral decay, and the social norms that prevailed during his time. By comparing the real historical events that marked the Cao family\u27s decline with the fictional story told in the novel, the thesis highlights how the author\u27s personal experiences directly influenced the creation of this literary work. Dream of the Red Chamber thus represents not only a literary achievement but also a valuable historical source that provides insight into the complex social and political conditions of the Qing dynasty. The research in this thesis offers significant insights into how Cao Xueqin\u27s life experiences influenced his literary opus and reveals that the novel is not merely an artistic creation but also a critical commentary on the social reality of his time. Such analysis helps to better understand not only the importance of Dream of the Red Chamber as one of the most significant works of Chinese classical literature but also its deep connection with reality and the historical context in which it was created

    Q board interviews: An effective method to research user opinions

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    Q board interviews can be applied as an effective method to get insight in the opinions of participants. Q board interviews form the interviewing part of Q methodology. Q methodology can be used to identify typical sets of opinions. However, in many studies, the research goal is to order opinions and see which ones play the most important roles, instead of identifying groups of people with similar opinions. In such cases, full Q methodology is not required. Yet, the Q board interviewing method has a number of characteristics that are also advantageous in such situations. Therefore, we decided to apply Q board interviews, although our goal was not to do factor analysis. With Q board interviews, participants order pre-formulated statements. Besides, participants are encouraged to provide background information. This enables them to bring in issues that go beyond the fixed set of statements. Because of this combination, Q board interviews stimulate engagement of the participants, without making the interview time consuming. The paper describes how Q board interviews were used by students of the course Social Cohesion Design and how the application of Q board interviews functioned as a preparation for applying Q methodology in the second stage of the course.Design EngineeringIndustrial Design Engineerin

    ATEE-Q artifacts

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    ATEE-Q ATEE-Q is an automatic testing tool exploiting GUI and functional equivalence to improve test efficacy for large-scale Android applications. System Requirements Python: 2.7 Android SDK: API 19-28 (make sure adb and aapt commands are available) Linux: Ubuntu 16.04-20.04 The above versions of software have been tested in our experiments. We use Pyinstalller to bundle the ATEE-Q project into executable files which can be run in Linux. You don't need to install the tool or any other python dependency; Simply downloading and unzipping all the files will suffice. The application under test can be installed in a physical phone connected to a computer or in an Android virtual machine, of which API level 19 (4.4), 23(6.0) and 28 (9.0) have been tested. Settings Before running ATEE-Q, please create the Config.txt as follow: [Path] #Note: The apks should be placed under 'Benchmark' directory. Benchmark = /Users/Your_Name/Benchmark/ APK_NAME = your_app_under_test.apk MINITRACE_HOME = /Users/Your_Name/minitrace/ [Setting] # You can use command `adb devices` to get the Android device's ID to replace the DEVICE_ID. DEVICE_ID = emulator-5554 # You may change TIME_LIMIT for debug. TIME_LIMIT = 3600 # You can specify the launchable Activity, if ATEE-Q cannot find one. ACTIVITY_NAME = # You can determine whether ATEE-Q should clear app's data from time to time in the test SHOULD_CLEAR_DATA = True In addition, "minitrace" is the instruction coverage measurement tool we used, and it is optional. For how to use it, please refer to http://gutianxiao.com/ape/install-mini-tracing. Running Install the app under test on the test device and initialize the app's setting, e.g., logging in; Run the application with the following bash command: ./main -r Config.txt Output The output contents are placed in folder benchmark/_output-1/ /event_output -- The structures and actionable events of each GUI screen. /crash_log.txt -- Test results including the test cases and recorded crashes and exceptions. BTW, ATEE-Q usually ends with an Import Error: It is a bug injected in Pyinstalller with python 2.7

    Exploring a Mixed Method Approach: Simulation Games and Q Methodology

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    In this paper we explore the possibilities to combine two research methods we regard as being very useful when interacting with stakeholders in complex systems. We discuss a mixed research methods approach, based on the Q methodology and a simulation game. In a game design process, translating the real or reference system into the game design is an intricate process and rather challenging due to the complexity of today’s societal systems. As shown by various studies, different data techniques are proposed in order to translate reality aspects. One of the proposed data gathering techniques in combination with simulation games is Q methodology. Q methodology is a suitable method to retrieve social perspectives of stakeholders on a particular topic. Yet it is still elusive how the results of a Q methodology can be used in a game design process. In this paper, we explore the possibilities how to combine the two methods and how to translate the results of the Q analysis into a game design concept. In the context of a case within the domain of transport and logistics, we discuss how such mixed research methods approach could look like. We conclude with a future outlook on our research.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.Policy Analysi

    An examination of Kolmogorov's refined similarity hypotheses for active scalar in compressible turbulence

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    Using direct numerical simulations of isotropic compressible turbulence driven by large-scale solenoidal force (up to 10243 grid points), we examine the Kolmogorov’s refined similarity hypotheses (RSH) as applied to active scalar, i.e. temperature, with Prandtl number of order one. The three-dimensional compressible Navier-Stokes equations are solved by adopting a hybrid method for space and a second-order Runge-Kutta technique for time. The stationary turbulent Mach number,Mt, and Taylor microscale Reynolds number, Reλ, vary from 0.3 to 1.0 and 123 to 255, respectively. The two-dimensional contours of temperature dissipation field show that at low Mt the field is dominated by vortices structures while at high Mt it is full of small-scale shocklets structures. When Reλ increases, the random distribution of shocklets is reinforced, and thus, the field tends to local isotropy at small scales. According to the scaling exponents obtained in our simulations, the probability distribution of the normalized temperature increment is basically the same for the temperature fields, however, they are not close to Gaussian. Furthermore, the usage of the scaling exponents from standard RSH theory [1,2] shows that the new probability distribution behaves rather different, suggesting the failure of RSH for temperature

    On the isomorphism class of q-Gaussian C*-algebras for infinite variables

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    For a real Hilbert space HR and −1 < q < 1 Bozejko and Speicher introduced the C∗-algebra Aq(HR) and von Neumann algebra Mq(HR) of qGaussian variables. We prove that if dim(HR) = ∞ and −1 < q < 1, q ∕= 0 then Mq(HR) does not have the Akemann-Ostrand property with respect to Aq(HR). It follows that Aq(HR) is not isomorphic to A0(HR). This gives an answer to the C∗-algebraic part of Question 1.1 and Question 1.2 in raised by Nelson and Zeng [Int. Math. Res. Not. IMRN 17 (2018), pp. 5486–5535].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.Analysi
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