Why Delannoy numbers?

This article is not a research paper, but a little note on the history of combinatorics: We present here a tentative short biography of Henri Delannoy, and a survey of his most notable works. This answers to the question raised in the title, as these works are related to lattice paths enumeration, to the so-called Delannoy numbers, and were the first general way to solve Ballot-like problems. These numbers appear in probabilistic game theory, alignments of DNA sequences, tiling problems, temporal representation models, analysis of algorithms and combinatorial structures.Comment: Presented to the conference "Lattice Paths Combinatorics and Discrete Distributions" (Athens, June 5-7, 2002) and to appear in the Journal of Statistical Planning and Inference

A software definable MIMO testbed: architecture and functionality

Following the intensive theoretical studies of recently emerged MIMO technology, a variety of performance measures become important to investigate the challenges and trade-offs at various levels throughout MIMO system design process. This paper presents a review of the MIMO testbed recently set up at King’s College London. The architecture that distinguishes the testbed as a flexible and reconfigurable system is first preseneted. This includes both the hardware and software aspects, and is followed by a discussion of implementation methods and evaluation of system research capabilities

Neuroartes: artes para la salud.

We introduce Neuroartes as a biological humanism that concentrates on the development of social interventions. We review several connections between art and the human body, mainly the brain. We suggest art, painting in the present case, as a tool to work with the elderly with cognitive and/or motor impairment for the purpose of helping them with their subjectivity and autonomy

Selective gas phase hydrogenation of nitroarenes over Mo2C-supported Au–Pd

Open Access via RSC Gold 4 Gold Financial support to Dr. X. Wang through the Overseas Research Students Award Scheme (ORSAS) is acknowledged. Dr. N. Perret also acknowledges financial support from COST Action MP0903 Nanoalloys.Peer reviewedPublisher PD

Influence d'un modèle littéraire dans la musique de chambre de Schumann : le Märchen

International audienceRobert Schumann (1810-1856) war der Sohn eines schriftstellerisch tätigen Buchhändlers und Verlegers. Schon als Kind war er der Literatur zugeneigt, und in späteren Jahren zeigte er große künstlerische Sympathien für Jean Paul und E.T.A. Hoffmann. Schumann blieb so auch lange unentschieden, ob er eigentlich Dichter oder Musiker werden solle – und der spätere Komponist sollte die Literatur seiner Zeit in sein Denken aufnehmen und verinnerlichen. Die Auseinandersetzungen Schumanns mit der Dichtung und ihre Konsequenzen für seine Musik sind durch musikwissenschaftliche Beiträge bereits vielfältig belegt worden. Der Artikel schließt an diese Forschungen an und untersucht, welchen Einfluss das Märchen als literarisches Genre auf Schumanns Kompositionen Märchenbilder (op. 113) von 1851 und Märchenerzählungen (op. 132) von 1853 hatte. Mit einer Analyse der strukturellen Verläufe, der narrativen Prozesse und der poetischen Nachklänge soll analysiert werden, ob und auf welche Weise Schumann das literarische Modell Märchen in seinen musikalischen Werken verarbeitete.Robert Schumann (1810-1856), fils d'un libraire et éditeur, féru de littérature depuis son plus jeune âge, passionné de poésie, amoureux de Jean Paul et Hoffmann, a longtemps hésité entre deux vocations : poète et musicien. De nombreux travaux ont montré que les liens entre littérature et musique sont indissociables dans la pensée, mais également dans la musique de Schumann. Dans la continuité de ces travaux, nous proposons d'étudier l'incidence du Märchen sur l'énonciation musicale des Märchenbilder opus 113 (1851) et des Märchenerzählungen opus 132 (1853). Nous observerons dans quelle mesure ces œuvres portent les traces d'une formulation musicale analogue à celle du Märchen des poètes : déroulements structurels, processus narratifs, résonances poétiques

The market valuation of intellectual capital : a study of the relationship between IC and the market to book ratios of 20 companies of the tourism and leisure sector of the LSE

Through the growing interest on Intellectual capital the last ten years, this work explores relationship between IC and market valuation. This dissertation highlights the Value Added by Intellectual Capital in market prices of 20 companies of the Travel and Leisure sector of the London Stock Exchange from 2005 to 2013. The relation of IC, its components and Market to Book ratios of firms is studied through the VAIC method. Results support the hypothesis than IC is valued by investors despite its non-recognition by accounting standards. Results support recommendations of more disclosure practices and improvement of IC theoretical frameworks

Direct Numerical Simulations of Low-RmRm MHD turbulence based on the least dissipative modes

We present a new spectral method for the Direct Numerical Simulation of Magnetohydrodynamic turbulence at low Magnetic Reynolds number. The originality of our approach is that instead of using traditional bases of functions, it relies on the basis of eigenmodes of the dissipation operator, which represents viscous and Joule dissipation. We apply this idea to the simple case of a periodic domain in the three directions of space, with an homogeneous magnetic field in the $\mathbf e_z$ direction. The basis is then still as subset of the Fourier space, but ordered by growing linear decay rate $|\lambda|$ (\emph{i.e} according to the \emph{least dissipative modes}). We show that because the lines of constant energy tend to follow those of constant $|\lambda|$ in the Fourier space, the scaling for the the smallest scales $|\lambda^{\rm max}|$ in a forced flow can be expressed using this single parameter, as a function of the Reynolds number as \sqrt{|\lambda^{\rm max}|}/(2\pi k_f)\simeq 0.5\Rey^{1/2}, where $k_f$ is the forcing wavelength, or as a function of the Grashof number \Gr_f, which gives a non-dimensional measure of the forcing, as |\lambda^{\rm max}|^{1/2}/(2\pi k_f)\simeq 0.47\Gr_f^{0.20}. This scaling is also found consistent with heuristic scalings, and which we are able to numerically quantify as k_\perp^{\rm max}/k_f\simeq 0.5 \Rey^{1/2} and k_z^{\rm max}/k_f\simeq 0.8k_f \Rey/Ha. Finally, we show that the set of least dissipative modes gives a relevant prediction for the scale of the first three-dimensional structure to appear in a forced, initially two-dimensional turbulent flow. This completes our numerical demonstration that the least dissipative modes can be used to simulate both two- and three-dimensional low-Rm MHD flows.Comment: 24 pages. Article accepted for publication in the Journal of Fluid Mechanic

Understanding the production of dual BEC with sympathetic cooling

We show, both experimentally and theoretically, that sympathetic cooling of $^{87}$Rb atoms in the $|F=2,m_F=2>$ state by evaporatively cooled atoms in the $|F=1,m_F=-1>$ state can be precisely controlled to produce dual or single condensate in either state. We also study the thermalization rate between two species. Our model renders a quantitative account of the observed role of the overlap between the two clouds and points out that sympathetic cooling becomes inefficient when the masses are very different. Our calculation also yields an analytical expression of the thermalization rate for a single species.Comment: 3 figure