L'aportació de Tomàs Cerdà en la introducció del càlcul diferencial i integral a l'Espanya del segle XVIII

El desenvolupament del càlcul diferencial i integral com a disciplina científica a Europa durant el segle XVIII no és un tema nou. Però s’ha acostumat a enfocar la visió d’aquesta formació molt sovint des del “centre” i a partir de les grans figures com Isaac Newton o Gottfried Wilhelm Leibniz. En el present treball el protagonista potser, per a molts, no és una figura de primera línia; Tomàs Cerdà, és un ensenyant a Barcelona i a Madrid durant la segona meitat del segle XVIII, que “tradueix” al castellà autors anglesos, però que amb la seva pràctica està realment introduint el nou càlcul a Espanya i donant, de fet, una orientació d’aquesta nova disciplina als seus deixebles. El com i per què Cerdà decideix quin serà el seu guia en la introducció del càlcul diferencial i integral i quines seran les seves pròpies aportacions en aquesta labor seran els temes centrals del nostre treball. La nostra tasca ha anat, així doncs, a entendre millor, el procés de divulgació del coneixement científic, veient-lo en tot moment com formant part activa del mateix procés de construcció d’aquest coneixement.

New delay-dependent stability criteria for uncertain neutral systems with mixed time-varying delays and nonlinear perturbations

The problem of stability analysis for a class of neutral systems with mixed time-varying neutral, discrete and distributed delays and nonlinear parameter perturbations is addressed. By introducing a novel Lyapunov-Krasovskii functional and combining the descriptor model transformation, the Leibniz-Newton formula, some free-weighting matrices, and a suitable change of variables, new sufficient conditions are established for the stability of the considered system, which are neutral-delay-dependent, discrete-delay-range dependent, and distributeddelay-dependent. The conditions are presented in terms of linear matrix inequalities (LMIs) and can be efficiently solved using convex programming techniques. Two numerical examples are given to illustrate the efficiency of the proposed method

Theoretical study of the second-order vibrational Stark effect

The behaviour of the harmonic infrared frequency of diatomic molecules subjected to moderate static uniform electric fields is analysed. The potential energy expression has been developed as a function of a static uniform electric field, which brings about a formulation describing the frequency versus field strength curve. With the help of the first and second derivatives of the expressions obtained, which correspond to the first- and second-order Stark effects, it was possible to find the maxima of the frequency versus field strength curves for a series of molecules using a Newton-Raphson search. A method is proposed which requires only the calculation of a few energy derivatives at a particular value of the field strength. At the same time, the expression for the dependence of the interatomic distance on the electric field strength is derived and the minimum of this curve is found for the same species. Derived expressions and numerical results are discussed and compared with other studi

L'equilibri en la força

Aquesta unitat didàctica desenvolupada durant el Màster de Professorat de Secundària està pensada per ser impartida a l’assignatura Física i Química de 4t d’ESO, més concretament a la part de física, com introducció a la Dinàmica. Es parteix de les idees prèvies de l’alumnat sobre situacions quotidianes on hi actuen forces. Es contrasten aquestes amb una posada en comú i amb l’explicació del professor, que va introduint progressivament conceptes nous com l’equilibri o els vectors, a mesura que es fan necessaris. En les sessions posteriors s’insisteix en el caràcter vectorial de les forces i es centra l’atenció en dos casos particulars: la força de fregament i la força elàstica. Sobre aquestes dues es treballa resolent un cas i fent una experiència pràctica, fomentant la competència comunicativa. La finalitat de la metodologia és acabar construint les Lleis de Newton, les quals hauran d’exposar en una presentació al final de la unitat.

Culture marked: racist epithets in translations of Mark Twain's Adventures of Huckleberry Finn

Aquest projecte analitza com s’ha plasmat el terme cultural nigger a dues traduccions al castellà de la novel•la Adventures of Huckleberry Finn de Mark Twain, amb l’objectiu d’estudiar de quina manera poden adaptar-se els elements culturals en una traducció. En primer lloc, s’ofereix la contextualització del terme original al text i a la cultura d’origen, seguida de la descripció del terme traduït en el context de la cultura d’arribada. A continuació, mitjançant l’anàlisi comparativa del mecanisme retòric de la repetició i d’elements com ara determinants, adjectius i complements, emprats tant a l’obra original com a les dues traduccions estudiades, aquest projecte pretén demostrar que la conservació dels esmentats recursos estilístics a la traducció pot facilitar la comprensió de les connotacions del marcador cultural nigger i de la seva funció temàtica al text d’arribada.

Exploring the connection between the stellar wind and the non-thermal emission in LS 5039

Context.LS 5039 has been observed with several X-ray instruments so far showing quite steady emission in the long term and no signatures of accretion disk. The source also presents X-ray variability at orbital timescales in flux and photon index. The system harbors an O-type main sequence star with moderate mass-loss. At present, the link between the X-rays and the stellar wind is unclear. Aims.We study the X-ray fluxes, spectra, and absorption properties of LS 5039 at apastron and periastron passages during an epoch of enhanced stellar mass-loss, and the long term evolution of the latter in connection with the X-ray fluxes. Methods.New XMM-Newton observations were performed around periastron and apastron passages in September 2005, when the stellar wind activity was apparently higher. April 2005 Chandra observations on LS 5039 were revisited. Moreover, a compilation of H EW data obtained since 1992, from which the stellar mass-loss evolution can be approximately inferred, was carried out. Results.XMM-Newton observations show higher and harder emission around apastron than around periastron. No signatures of thermal emission or a reflection iron line indicating the presence of an accretion disk are found in the spectrum, and the hydrogen column density () is compatible with being the same in both observations and consistent with the interstellar value. 2005 Chandra observations show a hard X-ray spectrum, and possibly high fluxes, although pileup effects preclude conclusive results from being obtained. The H EW shows yearly variations of 10%, and does not seem to be correlated with X-ray fluxes obtained at similar phases, unlike what is expected in the wind accretion scenario. Conclusions.2005 XMM-Newton and Chandra observations are consistent with 2003 RXTE/PCA results, namely moderate flux and spectral variability at different orbital phases. The constancy of the seems to imply that either the X-ray emitter is located at 1012 cm from the compact object, or the density in the system is 3 to 27 times smaller than that predicted by a spherical symmetric wind model. We suggest that the multiwavelength non-thermal emission of LS 5039 is related to the observed extended radio jets and is unlikely to be produced inside the binary system.

Line search multilevel optimization as computational methods for dense optical flow

We evaluate the performance of different optimization techniques developed in the context of optical flow computation with different variational models. In particular, based on truncated Newton methods (TN) that have been an effective approach for large-scale unconstrained optimization, we de- velop the use of efficient multilevel schemes for computing the optical flow. More precisely, we evaluate the performance of a standard unidirectional mul- tilevel algorithm - called multiresolution optimization (MR/OPT), to a bidrec- tional multilevel algorithm - called full multigrid optimization (FMG/OPT). The FMG/OPT algorithm treats the coarse grid correction as an optimiza- tion search direction and eventually scales it using a line search. Experimental results on different image sequences using four models of optical flow com- putation show that the FMG/OPT algorithm outperforms both the TN and MR/OPT algorithms in terms of the computational work and the quality of the optical flow estimation.

Reliable computation of robust response tori on the verge of breakdown

We prove the existence and local uniqueness of invariant tori on the verge of breakdown for two systems: the quasi-periodically driven logistic map and the quasi-periodically forced standard map. These systems exemplify two scenarios: the Heagy-Hammel route for the creation of strange non- chaotic attractors and the nonsmooth bifurcation of saddle invariant tori. Our proofs are computer- assisted and are based on a tailored version of the Newton-Kantorovich theorem. The proofs cannot be performed using classical perturbation theory because the two scenarios are very far from the perturbative regime, and fundamental hypotheses such as reducibility or hyperbolicity either do not hold or are very close to failing. Our proofs are based on a reliable computation of the invariant tori and a careful study of their dynamical properties, leading to the rigorous validation of the numerical results with our novel computational techniques.

Studying the non-thermal lobes of IRAS 16547-4247 through a multi-wavelength approach

In recent years, massive protostars have turned out to be a possible population of high-energy emitters. Among the best candidates is IRAS 16547-4247, a protostar that presents a powerful outflow with clear signatures of interaction with its environment. This source has been revealed to be a potential high-energy source because it displays non-thermal radio emission of synchrotron origin, which is evidence of relativistic particles. To improve our understanding of IRAS 16547-4247 as a high-energy source, we analyzed XMM-Newton archival data and found that IRAS 16547-4247 is a hard X-ray source. We discuss these results in the context of a refined one-zone model and previous radio observations. From our study we find that it may be difficult to explain the X-ray emission as non-thermal radiation coming from the interaction region, but it might be produced by thermal Bremsstrahlung (plus photo-electric absorption) by a fast shock at the jet end. In the high-energy range, the source might be detectable by the present generation of Cherenkov telescopes, and may eventually be detected by Fermi in the GeV range.

El proyecto Science of the city. Territorio de encuentro entre arte, ciencia y ciudad

El objetivo de este artículo es presentar la experiencia colaborativa entre el proyecto Science of the city y el grupo de investigación"Metamétodo. Metodologías compartidas y procesos artísticos en la sociedad del conocimiento" de la Facultad de Bellas Artes de la UB y La Mandarina de Newton, empresa emergente en el ámbito de la divulgación científica, interesada en nuevas estrategias y formas de pensar la ciencia que reviertan en la transmisión del conocimiento. Las cuestiones ¿Qué es ciencia? y ¿Qué es ciudad? o ¿Dónde encontramos la ciencia en la ciudad? fueron el punto de partida del proyecto Science of the city, ideado por La Mandarina de Newton. Los organizadores lanzaron una convocatoria a través de la red, en formato de concurso internacional de vídeos que debían tratar estas cuestiones. El propósito era acercar la ciencia a las experiencias cotidianas de los habitantes de la ciudad y a su vez, obtener una respuesta en formato de vídeo que nos sirviera como punto de partida para los artistas integrantes de nuestro grupo de investigación para elaborar nuestras propias obras. Los vídeos ganadores y las obras resultantes de esta experiencia conformaron la exposición Science of the City, proyecto financiado por el FECYT. La exposición pudo verse en el espacio Arts Santa Mònica de Barcelona en mayo del pasado 2012. Los procesos de trabajo y las reflexiones quedaron recopilados en una publicación multilingüe.

On the Connectivity of the Julia sets of meromorphic functions

We prove that every transcendental meromorphic map $f$ with disconnected Julia set has a weakly repelling fixed point. This implies that the Julia set of Newton's method for finding zeroes of an entire map is connected. Moreover, extending a result of Cowen for holomorphic self-maps of the disc, we show the existence of absorbing domains for holomorphic self-maps of hyperbolic regions, whose iterates tend to a boundary point. In particular, the results imply that periodic Baker domains of Newton's method for entire maps are simply connected, which solves a well-known open question.

Non-thermal emission from microquasar/ISM interaction

Context. The interaction of microquasar jets with their environment can produce non-thermal radiation as in the case of extragalactic outflows impacting on their surroundings. Significant observational evidence of jet/medium interaction in galactic microquasars has been collected in the past few years, although little theoretical work has been done regarding the resulting non-thermal emission. Aims. In this work, we investigate the non-thermal emission produced in the interaction between microquasar jets and their environment, and the physical conditions for its production. Methods. We developed an analytical model based on those successfully applied to extragalactic sources. The jet is taken to be a supersonic and mildly relativistic hydrodynamical outflow. We focus on the jet/shocked medium structure in its adiabatic phase, and assume that it grows in a self-similar way. We calculate the fluxes and spectra of the radiation produced via synchrotron, inverse Compton, and relativistic bremsstrahlung processes by electrons accelerated in strong shocks. A hydrodynamical simulation is also performed to investigate further the jet interaction with the environment and check the physical parameters used in the analytical model. Results. For reasonable values of the magnetic field, and using typical values of the external matter density, the non-thermal particles could produce significant amounts of radiation at different wavelengths, although they do not cool primarily radiatively, but by adiabatic losses. The physical conditions of the analytical jet/medium interaction model are consistent with those found in the hydrodynamical simulation. Conclusions. Microquasar jet termination regions could be detectable at radio wavelengths for current instruments sensitive to ~arcminute scales. At X-ray energies, the expected luminosities are moderate, although the emitter is more compact than the radio one. The source may be detectable by XMM-Newton or Chandra, with 1-10 arcsec of angular resolution. The radiation at gamma-ray energies may be within the detection limits of the next generation of satellite and ground-based instruments.