1,195 research outputs found
Exactly solvable birth and death processes
No full textMany examples of exactly solvable birth and death processes, a typical stationary Markov chain, are presented together with the explicit expressions of the transition probabilities. They are derived by similarity transforming exactly solvable "matrix" quantum mechanics, which is recently proposed by Odake and the author [S. Odake and R. Sasaki, J. Math. Phys. 49, 053503 (2008)]. The (q-) Askey scheme of hypergeometric orthogonal polynomials of a discrete variable and their dual polynomials play a central role. The most generic solvable birth/death rates are rational functions of qx (with x being the population) corresponding to the q -Racah polynomial
Legal Thoughts of Paul Kichyon Ryu
No full textKichyon Yu(July 5. 1915―June 27. 1998), known as Paul K. Ryu in English-speaking world, was a prominent legal scholar in the contemporary Korea. Dr. Chanjin Kim says, It is not an exaggeration to call him a pioneer in the reception of American jurisprudence in Korea, a mentor of overseas studies by many promising Korean lawyers and the King of Korean criminal Law.(Chanjin Kim, Dr. Paul K. Ryu as we know him, in: Festschrift for Prof. Dr. Paul K. Ryu, Bakyoungsa, 1998). In this paper, this author tries to analyse the inner world of Ryu's legal academism. Main themes are his theories and assertions on 1) Korean culture, 2) Criminal Law, 3) Academic Freedom, 4) Legal Education, and 5) Legal Philosophy
Major themes in Ryu Murakami's prosaic work
No full textThis bachelor's thesis deals with the subject of the Japanese author Murakami Ryu and the major themes in his works. I have chosen four of his novels as representative works, i.e. Almost Transparent Blue; Piercing; In the Miso Soup and Sixty Nine. I work on the assumption that there are three key motives in author's work (violence, sex and life near American military bases) and I would like to prove that the author uses these motives to highlight the problems in the Japanese society and to critcize it to some extent. The aim of the first part is to present the author and chosen works, the second part is devoted to the chosen motives and their analysis. As far as methodology is concerned, it is based on the fictional worlds theory
Another set of infinitely many exceptional (Xℓ) Laguerre polynomials
No full textAbstractWe present a new set of infinitely many shape invariant potentials and the corresponding exceptional (Xℓ) Laguerre polynomials. They are to supplement the recently derived two sets of infinitely many shape invariant thus exactly solvable potentials in one-dimensional quantum mechanics and the corresponding Xℓ Laguerre and Jacobi polynomials [S. Odake, R. Sasaki, Phys. Lett. B 679 (2009) 414]. The new Xℓ Laguerre polynomials and the potentials are obtained by a simple limiting procedure from the known Xℓ Jacobi polynomials and the potentials, whereas the known Xℓ Laguerre polynomials and the potentials are obtained in the same manner from the mirror image of the known Xℓ Jacobi polynomials and the potentials
Multiparticle quasiexactly solvable difference equations
No full textSeveral explicit examples of multiparticle quasiexactly solvable “discrete” quantum mechanical Hamiltonians are derived by deforming the well-known exactly solvable multiparticle Hamiltonians, the Ruijsenaars-Schneider-van Diejen systems. These are difference analogs of the quasiexactly solvable multiparticle systems, the quantum Inozemtsev systems obtained by deforming the well-known exactly solvable Calogero-Sutherland systems. They have a finite number of exactly calculable eigenvalues and eigenfunctions. This paper is a multiparticle extension of the recent paper by one of the authors [R. Sasaki, J. Math. Phys.48, 122104 (2007)] on deriving quasiexactly solvable difference equations of single degree of freedom.ArticleJOURNAL OF MATHEMATICAL PHYSICS. 48(12):122105 (2007)journal articl
Multiparticle quasiexactly solvable difference equations
No full textSeveral explicit examples of multiparticle quasiexactly solvable “discrete” quantum mechanical Hamiltonians are derived by deforming the well-known exactly solvable multiparticle Hamiltonians, the Ruijsenaars-Schneider-van Diejen systems. These are difference analogs of the quasiexactly solvable multiparticle systems, the quantum Inozemtsev systems obtained by deforming the well-known exactly solvable Calogero-Sutherland systems. They have a finite number of exactly calculable eigenvalues and eigenfunctions. This paper is a multiparticle extension of the recent paper by one of the authors [R. Sasaki, J. Math. Phys.48, 122104 (2007)] on deriving quasiexactly solvable difference equations of single degree of freedom.ArticleJOURNAL OF MATHEMATICAL PHYSICS. 48(12):122105 (2007)journal articl
Another set of infinitely many exceptional (X(l)) Laguerre polynomials
No full textWe present a new set of infinitely many shape invariant potentials and the corresponding exceptional (X-l) Laguerre polynomials. They are to supplement the recently derived two sets of infinitely many shape invariant thus exactly solvable potentials in one-dimensional quantum mechanics and the corresponding X(l) Laguerre and Jacobi polynomials [S. Odake, R. Sasaki, Phys. Lett. B 679 (2009) 414]. The new X(l) Laguerre polynomials and the potentials are obtained by a simple limiting procedure from the known X(l) Jacobi polynomials and the potentials, whereas the known X(l) Laguerre polynomials and the potentials are obtained in the same manner from the mirror image of the known X(l) Jacobi polynomials and the potentials.ArticlePHYSICS LETTERS B. 684(2-3):173-176 (2010)journal articl
JavaScript Language Design and Implementation in Tandem
No full textProposing a new approach to programming language development. © 2024 Owner/Author.
Reputation in continuous-time games with multiple commitment types
No full textWe study a continuous-time game with imperfect monitoring in which a large player faces a continuum of infinitely-lived small players. We extend Faingold and Sannikov (2011) to a framework in which the support of the prior belief of the small players contains any finite number of commitment types. In this setting, we show the existence of a unique Markov equilibrium, we characterize a partial differential equation (PDE) for the equilibrium payoff, and we derive an optimality condition for the equilibrium actions. Also, we provide a stochastic representation of the Markov equilibrium payoffs, which is the solution to the PDE. Finally, we show that the equilibrium action of the sufficiently patient large player follows a non-stationary process that is determined by the small players’ posterior beliefs.Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2019-05-01The student, Seokjong Ryu, accepted the attached license on 2017-04-14 at 14:49.The student, Seokjong Ryu, submitted this Dissertation for approval on 2017-04-14 at 14:51.This Dissertation was approved for publication on 2017-04-17 at 09:14.DSpace SAF Submission Ingestion Package generated from Vireo submission #10764 on 2017-08-10 at 15:05:37Made available in DSpace on 2017-08-10T20:32:56Z (GMT). No. of bitstreams: 3
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Previous issue date: 2017-04-17Embargo set by: Colleen Fallaw for item 102759
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Reason: Author requested U of Illinois access only (OA after 2yrs) in Vireo ETD systemU of I Only Restriction Lifted for Item 102759 on 2019-08-11T09:15:35Z
Robust Transport and Assembly Automation System Using Vision-Based Control Using UAV
No full textWe propose an automated system that moves blocks to a specific location, such as a block map, using Unmanned Aerial Vehicle (UAV). The system was developed in a simulation environment using Gazebo simulator, and the test environment was set with different GPS noise and illuminance in order to resemble the real environment. To increase the accuracy of the system, we used an algorithm that picks up and places blocks using vision-based controls using deep learning-based object detection and recognition, not just GPS based control. In addition, when picking up and placing blocks, it is easy to execute by using a magnet module rather than a typical manipulator. Our proposed system in simulation experiments in various environments consistently showed excellent performance. The system seems to have robust performance in a more difficult environment than existing robots and has simplicity and efficiency in execution. © 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd
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