20,828 research outputs found
q-Differential equations for q-classical polynomials and q-Jacobi-Stirling numbers
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
Nothing but the truth: the Sufi testament of 'Aziz Nasafi
`Aziz Nasafi is among the most important Islamic mystics of the medieval period. His achievement was to integrate various ideas, including those of Ibn `Arabi and Najm
al-Din Kubrä into a coherent whole, providing Persian speaking Sufis with an introduction to the speculative and practical dimensions of Sufism.
This thesis is an attempt to present Nasafi's main teachings. After introducing his life, times and works, the second chapter focuses upon ontology. This is the spine of
Nasafi's treatises and it is based upon the Sufi interpretation of God's incomparability and similarity (tanzih wa tashbih) and His infinite self-disclosure which occurs within a form processed by the imagination. The second chapter investigates the different forms
of knowledge available to Sufis, which includes sense perception, reason and mystical knowledge. Nasafi's presentation depicts all three in a hierarchical structure with Sufi knowledge at the pinnacle. Having discussed the theoretical nature of Sufism, chapter four deals with the practical element of Sufism and how it is able to contribute to felicity in this life. Having followed the Sufi path, it is possible that a wayfarer may experience
unity with God. This is examined in chapter five, and Nasafi's description is compared with that of other Sufis in an attempt to show his "orthodox" position within Sufism. It is also argued that modern models of mystical experience do not fit Nasafi's depiction of tashbih-tanzih, and that one also needs to re-think the idea of perennial philosophy. Finally, the perfection of man is considered through examining the relationship between Prophecy and Friendship of God. Sufis interpreted Friendship as the interior element of Prophecy and were able to offer new insights to Islamic doctrine
Recommended from our members
Network Q
A press release from Network Q announcing that they will begin featuring Brian McNaught, a gay columnist and author, for a monthly segment
Network Q
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
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.
A Q-learning based multi-strategy integrated artificial bee colony algorithm with application in unmanned vehicle path planning
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
Event-Based Communication in Distributed Q-Learning
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
Academic Writing Q&A Series 4
The presentation describes the processes that typically follow article submission. This presentation serves as the basis for a video from the Academic Writing Q&A series that was created as a supplement to the My First Scientific Article webinar. This presentation highlights the critical issues the author needs to take into account during the writing or peer review process that are essential to publishing. The content is useful for Early Career Researchers and for everyone who is interested in scholarly communication and publishing
- …
