L'étude de la susceptibilité électromagnétique de circuits électroniques nécessite l'utilisation d'un outil de simulation rapide, précis et suffisamment flexible pour intégrer les dernières innovations technologiques. La méthode itérative basée sur le concept d'onde (notée WCIP pour Wave Concept Iterative Procedure) initialement proposée par H. Baudrand est particulièrement adaptée pour la modélisation numérique de circuits multicouches à plusieurs niveaux de métallisation. Pour ce type de circuits, elle se révèle être l'une des méthodes qui utilise le plus petit nombre d'inconnues pour atteindre une précision donnée. Néanmoins, la WCIP n'est pas adaptée à la prise en compte des diélectriques inhomogènes et des trous d'interconnexion. L'objectif de la thèse est de s'affranchir de ces limitations par un couplage avec des méthodes numériques volumiques. En premier lieu, l'hybridation a été mise en œuvre avec une méthode basée sur la théorie des lignes de transmission pour des raisons de correspondance de maillages. Par la suite, le couplage avec une technique d'éléments finis de type Galerkin Discontinu (notée GD) Hybridée permet d'atteindre des objectifs de précision et de rapidité car GD apporte une flexibilité dans la discrétisation. En effet, c'est une méthode d'éléments finis non conforme qui permet notamment de faire varier d'un élément à l'autre l'ordre polynomial d'approximation. On a ainsi développé une nouvelle méthode numérique hybride couplant la WCIP avec des méthodes volumiques qui offrent plus de souplesse pour la prise en compte des milieux complexes. Enfin, une stratégie de résolution par décomposition de domaines est également abordée à la fin du manuscrit. / Electromagnetic susceptibility study of electronic circuits requires the use of a simulation tool which is fast, accurate and flexible enough to incorporate the latest technological innovations. The Wave Concept Iterative Procedure (WCIP) initially proposed by H. Baudrand is particularly adapted for numerical modeling of multilayered circuits with multilevel metallization. For this kind of circuits, it turns out to be one of the methods that uses the smallest number of unknowns to reach a given accuracy. However, the WCIP is not appropriate for inhomogeneous dielectric substrates and metallized via holes. The aim of this PhD thesis is to overcome these limitations coupling the WCIP with volume numerical methods. First, hybridization is carried out with the Frequency Domain Transmission Line Matrix (denoted FDTLM) assuming matching meshes at the interface between computational domains of both methods. Subsequently, the coupling with a finite element technique like a Hybridized Discontinuous Galerkin (denoted DG) method is considered to achieve the objectives of accuracy and speed because DG brings flexibility in the discretization. Indeed, it is a nonconforming finite element method which allows in particular changing the polynomial approximation order from one element to another. Therefore, a new hybrid method is developed coupling the WCIP with volume numerical methods which offer more flexibility for dealing with complex environments. Finally, a domain decomposition solution strategy is also discussed at the end of the manuscript.

Afin de mettre à profit les propriétés des plasmas pour développer des fonctions hyperfréquences originales, le milieu plasma doit d’abord être caractérisé dans cette gamme de fréquence car son expansion et sa densité, supposée homogène, sont des paramètres mal maîtrisés. Une méthode de mesure de la constante diélectrique du plasma a donc été développée pour déterminer une permittivité relative complexe moyenne dans les conditions d’utilisation et d’excitation. A partir d’un modèle basé sur une méthode modale, et de la mesure de fréquence de résonance d’un résonateur, on caractérise un milieu plasma (permittivité, fréquence de coupure plasma) généré au sein d’une ligne microruban multicouches. Cette thèse, à l’intersection entre deux disciplines, plasmas et micro-ondes, valide l’utilisation de plasma localisé au sein d’une technologie planaire multicouches pour dimensionner des lignes d’impédance et/ou longueur de ligne variables. Elle met également en avant les difficultés rencontrées en termes de réalisation, pour générer des plasmas reproductibles et stables. / In order to take profits of the plasma properties to develop new hyperfrequency funtioncs, the plasma media must be first characterize in this frequency range because his expansion and density, supposed homogeneous, are parameters not well known. A method of measurement of the plasma’s dielectric constant have been developped to determine an average relative complexe permittivity in the condition of use and excitation. From this method based on a modal method, and from the measurement of the resonant frequency, we can characterize the plasma media (permittivity, cut-off frequency of the plasma) generated within a multilayer microstrip line. This thesis, which verge on the junction between two major fields : microwaves and plasma physics, allowed us to ascertain on the local use of plasma media within multilayer planar technology, in order to design lines with variable impedance and/or variable electrical length. It also highlights on the major difficulties with the generation of stable and reproductible plasma.

Orientador: Prof. Dr. Rafael de Mattos Grisi / Dissertação (mestrado) - Universidade Federal do ABC, Programa de Pós-Graduação em Mestrado Profissional em Matemática em Rede Nacional, 2015. / Esse trabalho tem por objetivo apresentar um pouco da teoria de grafos no ensino Básico. Nele serão abordados conceitos básicos da teoria de grafos com maior enfoque sobre os grafos eulerianos e semieulerianos e o teorema das quatro cores. Apresentamos e discutimos também algumas propostas de atividades que foram e poderão ser desenvolvidas no Ensino Fundamental e Médio, possibilitando ao aluno o desenvolvimento de algumas habilidades como investigar, analisar, modelar, dentre outras. A prática dessas atividades foi realizada em uma escola da rede estadual do Estado de São Paulo com uma turma do 9o ano do Ensino Fundamental e com uma turma do 3o ano do Ensino Médio, no ano de 2014. / This work aims to present some of the so called graph theory in the Basic education. It will address the basic concepts of graph theory with greater focus on the Euler graphs and the four color theorem. We also discuss some proposals for activities that have been developed in primary and secondary education, enabling the student to develop some skills to investigate, analyze and model problems using graphs. The practice of these activities took place in a state school of São Paulo with a class of 9th graders of the elementary school and a group of the 3rd year of high school, in 2014.

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La vision artificielle est un domaine de recherche en pleine évolution. Les nouvelles stratégies permettent d'avoir des réseaux de caméras intelligentes. Cela induit le développement de beaucoup d'applications de surveillance automatique via les caméras. Les travaux développés dans cette thèse concernent la mise en place d'un système de vidéosurveillance intelligente pour la détection de chutes en temps réel. La première partie de nos travaux consiste à pouvoir estimer de façon robuste la surface d'une personne à partir de deux (02) caméras ayant des vues complémentaires. Cette estimation est issue de la détection de chaque caméra. Dans l'optique d'avoir une détection robuste, nous avons fait recours à deux approches. La première approche consiste à combiner un algorithme de détection de mouvements basé sur la modélisation de l'arrière plan avec un algorithme de détection de contours. Une approche de fusion a été proposée pour rendre beaucoup plus efficiente le résultat de la détection. La seconde approche est basée sur les régions homogènes de l'image. Une première ségmentation est effectuée dans le but de déterminer les régions homogènes de l'image. Et pour finir, nous faisons la modélisation de l'arrière plan en se basant sur les régions. Une fois les pixels de premier plan obtenu, nous faisons une approximation par un polygone dans le but de réduire le nombre d'informations à manipuler. Pour l'estimation de cette surface nous avons proposé une stratégie de fusion dans le but d'agréger les détections des caméras. Cette stratégie conduit à déterminer l'intersection de la projection des divers polygones dans le plan de masse. La projection est basée sur les principes de l'homographie planaire. Une fois l'estimation obtenue, nous avons proposé une stratégie pour détecter les chutes de personnes. Notre approche permet aussi d'avoir une information précise sur les différentes postures de l'individu. Les divers algorithmes proposés ont été implémentés et testés sur des banques de données publiques dans le but de juger l'efficacité des approches proposées par rapport aux approches existantes dans l'état de l'art. Les résultats obtenus et qui ont été détaillés dans le présent manuscrit montrent l'apport de nos algorithmes. / Artificial vision is an involving field of research. The new strategies make it possible to have some autonomous networks of cameras. This leads to the development of many automatic surveillance applications using the cameras. The work developed in this thesis concerns the setting up of an intelligent video surveillance system for real-time people fall detection. The first part of our work consists of a robust estimation of the surface area of a person from two (02) cameras with complementary views. This estimation is based on the detection of each camera. In order to have a robust detection, we propose two approaches. The first approach consists in combining a motion detection algorithm based on the background modeling with an edge detection algorithm. A fusion approach has been proposed to make much more efficient the results of the detection. The second approach is based on the homogeneous regions of the image. A first segmentation is performed to find homogeneous regions of the image. And finally we model the background using obtained regions.

L’un des axes de recherche du laboratoire Synthèse Métallo-Induites consiste en le développement de nouveaux complexes métallacycliques à chiralité planaire. Le défi majeur de cette thèse, a été l’élaboration de nouvelles approches sélectives de synthèse de complexes cationiques et neutres métallacyliques à chiralité planaire dont le métal chélaté est un centrestéréogène pseudo-tétraédrique.Le projet de thèse fut initié lors de l’étude d’une réaction inhabituelle de cycloruthénation d’un ligand dérivé de la 2-phénylpyridine qui était capable de produire un complexe ruthénacyclique OC-6 triscationique, homobinucléaire et à chiralité planaire comme produit secondaire en une seule étape à partir de substrats simples. Ce type de produit homobinucléaire ne peut se former uniquement que lorsqu’un groupement fortement donneur comme le N,N-diméthylamino (-NMe2) est présent sur le ligand départ. C’est donc à la lumière de ce résultat que nous avons engagé une étude systématique de la synthèse de nouveaux composés iridacycliques à chiralité planaire. Les fragments métalliques positivement chargés (Cp*Ir2+, Cp*Ru+) et neutre (Cr(CO)3) pourraient p-coordiner un fragment aryle riche en électrons d’un composé cyclométallé suivant un cours stéréochimiqueconditionné par la nature des entités ainsi introduites. Une des conséquences inattendues de ces recherches est l’émergence du concept de chiralité constitutionnelle déportée qui a surgi lors de l’étude du comportement conformationnel du complexe endo dicationique IrIr(NMe2) dont les groupes méthyles portés par le substituant N,N-diméthylamino dénotent une diastéréotopicité remarquable en spectroscopie de RMN 1H.A cette quête fondamentale de sélectivité s’est aussi greffée une exploration des propriétés catalytiques de nos complexes qui se sont révélés comme d’excellents précatalyseurs pour la promotion de réactions comme l’oxydation de l’eau et l’hydroamination/hydrosilylation d’alcynes vrais. / One of the main research domain in the laboratory of «Synthèse Metallo-Induites» consists in the development of new planar chiral metallacycles complexes. The challenge of this thesis was the development of new selective approaches for the synthesis of new cationic and neutral planar chiral metallacycles complexes in which the chelated metal is a pseudotetrahedral stereogenic center.The thesis project was initiated by the study of the unusual cycloruthenation of a 2-phenylpyridine ligand which was able to produce a tris-cationic homobimetallic planar chiral ruthenacycle as secondary product in a one step reaction starting from simple substrates. This type of homobimetallic product is only formed when a strong electrodonationg group as NMe2 is present on the starting ligand. In view of this result, we engaged a systematic study by synthesizing new planar chiral iridacycles compounds. The positively charged metal fragments (Cp*Ir2+, Cp*Ru+) and neutral (Cr(CO)3) may p-coordinate the electronic rich aryl fragment of the iridacyclic compound by virtue of the coulombic imbalance in the coordination sphere of the chelated metal center. One of the unexpected consequence of this research is the emergence of the concept ″deported constitutional chirality″, which appeared during the study of the conformational behaviour of an endodicationiciridacyclic complex where the methyl groups carried by the N,N-dimethylamino substituent diastereotopicity.To this fundamental quest for selectivity an explanation of the catalytic proprieties of our complexes was added. They were found to be good precatalysts for the promotion of the water oxidation catalysis and to be promising catalysts for tandem hydroamination/hydrosilation of terminal alkynes.

Le niveau de sécurité requis dans l'aviation civile a conduit à l'utilisation de plusieurs chaînes séparées de mesures pour une même information. Il est désormais recommandé de les compléter par une chaîne de mesure dissemblable. Ainsi, THALES Avionics développe depuis 2006 un anémomètre laser dont l'injecteur est réalisé en optique intégrée sur verre pour la mesure de la vitesse de l'avion. Ce travail de thèse vise à poursuivre la miniaturisation en hybridant sur une puce de verre la diode laser de pompe qui alimente l'injecteur optique. L'architecture proposée repose sur le verrouillage d'une diode laser à ruban large sur son mode fondamental grâce à une cavité externe planaire. Celle ci est constituée d'un convertisseur modal réalisé par échange d'ions sur verre intégrant un réseau de Bragg à sa sortie monomode. Le travail réalisé dans cette thèse comporte trois étapes principales. Dans un premier temps, un modèle analytique a permis de dimensionner la rétroaction optique à imposer sur la diode. L'échange d'ions sélectivement assisté par champ électrique a permis dans un second temps de réaliser un convertisseur modal adapté à la liaison entre la diode ruban et la fibre optique monomode de récupération. Finalement, le verrouillage modal a été démontré grâce à l'utilisation d'une fibre optique à réseau de Bragg. L'émission spectrale de la diode laser a été stabilisée autour de la longueur d'onde de Bragg sur une largeur spectrale de 0,3 nm tandis que la puissance en sortie de la fibre monomode a atteint 100 mW. Le réseau de Bragg a alors été intégré sur la puce optique et l'émission de la diode laser ruban a également été stabilisée par la rétroaction intégrée. La forte réflexion du réseau a limité la puissance en sortie du dispositif et une émission sur deux modes transverses a été constatée. Les perspectives de cette étude portent, d'une part, sur l'augmentation de la puissance en sortie du dispositif et, d'autre part, sur la réalisation d'un système de pompage monolithique d'un milieu actif placé au sein de la cavité externe. / Objectives of security in civil aviation are reached in multiplying separated measuring chains. The use of dissimilar measuring chains is now encouraged. For this purpose, THALES Avionics has developed an aircraft speed laser anemometer. The suitability of integrated optics on glass for the miniaturisation of the system has been proven in 2006. This thesis aims at pushing ahead with the miniaturisation in hybridising the pump laser diode which supplies the seed laser on a glass platform. The structure consists on locking the fundamental of a Broad Area Laser Diode (BALD) thanks a planar external cavity, composed of a modal converter made by ion exchange on glass and a Bragg grating. First, easy to use conception rules for the BALD's optical feedback are elaborated. Then, the technique of selective field assisted ion exchange is shown to be adapted to the realisation of a modal converter between the BALD and a single mode collecting optical fibre. The realised converter demonstrated the modal locking thanks to the use a fibre Bragg grating. The BALD has been stabilized around the Bragg wavelength with a spectral width of 0.3 nm and stable single mode output power has reached 100 mW. The Bragg grating has then been integrated on the optical chip and the integrated locking of the BALD has been achieved. The output power has been limited by the high reflectivity of the grating. As perspectives, the increase of the output power has been studied and a highly integrated system of intra cavity pumping is proposed.

Neste trabalho, foram desenvolvidas antenas planares de micro-ondas multibandas para aplicação em terminais móveis de sistemas de comunicação sem fio. Foi realizado um estudo sobre antenas planares de micro-ondas, com ênfase em técnicas de projeto que possibilitam a operação das mesmas em bandas largas e em múltiplas bandas. A partir dos conhecimentos adquiridos com esse estudo, foram propostas configurações de antenas para terminais móveis de sistemas atuais de telefonia móvel, de WLAN e de WPAN, sistemas esses que têm experimentado nos últimos anos uma grande popularização mundial. Por meio de um procedimento de projeto auxiliado por simulação eletromagnética computacional, as configurações propostas de antenas foram analisadas e otimizadas, visando atender às especificações de projeto estabelecidas para operação nos sistemas mencionados. O desempenho que pode ser obtido com essas configurações de antenas depende de diversos parâmetros geométricos das mesmas, resultando em flexibilidade de projeto para obtenção das bandas de operação desejadas. Protótipos das antenas projetadas foram construídos e caracterizados para validar as configurações propostas de antenas e o procedimento de projeto empregado. Foram desenvolvidas quatro antenas para operação em sistemas de telefonia móvel, de WLAN e de WPAN empregados no Brasil, na Europa e nos EUA: uma antena planar em F-invertido tri-band com configuração original para operação nas bandas dos padrões GSM, DCS e PCS; uma antena planar em F-invertido penta-band com configuração original para operação nas bandas dos padrões GSM, DCS, PCS e UMTS e na banda ISM de 2.400 MHz; duas antenas quad-band, uma delas planar em F-invertido e a outra monopolo impresso com configuração original, para operação nas bandas ISM de 2.400 MHz e de 5.800 MHz e nas bandas de 5.200 MHz e de 5.600 MHz. Os resultados experimentais dos protótipos construídos apresentaram, de modo geral, boa concordância com os resultados fornecidos por simulação e mostraram que as antenas desenvolvidas atenderam às especificações de projeto para elas estabelecidas. Por meio de ambos os resultados experimentais e de simulação, o desempenho das antenas desenvolvidas pôde ser verificado, e demonstrou-se a efetividade do procedimento de projeto adotado. / In this work, multi-band microwave planar antennas for application in mobile terminals of wireless communication systems were developed. A study on microwave planar antennas was performed with emphasis on design techniques that enable their operation in wide bands and multiple bands. From the knowledge gained from this study, antenna configurations for mobile terminals of current mobile telephony, WLAN and WPAN systems, which have experienced in recent years great popularity worldwide, were proposed. By means of a design procedure aided by computer electromagnetic simulation, the proposed antenna configurations were analyzed and optimized in order to meet the design specifications established for operation in the afore mentioned systems. The performance that can be obtained with these antenna configurations depends on their several geometric parameters, resulting in design flexibility for obtaining the desired operation bands. Prototypes of the designed antennas were fabricated and characterized to validate the proposed antenna configurations and the design procedure employed. Four antennas were developed for operation in mobile telephony, WLAN and WPAN systems employed in Brazil, Europe and USA: a tri-band planar inverted-F antenna with novel configuration for operation in GSM, DCS and PCS standard bands; a penta-band planar inverted-F antenna with novel configuration for operation in GSM, DCS, PCS and UMTS standard bands and 2,400 MHz ISM band; two quad-band antennas, one of them planar inverted-F and the other printed monopole with novel configuration, for operation in 2,400 MHz and 5,800 MHz ISM bands and 5,200 MHz and 5,600 MHz bands. The experimental results from the fabricated prototypes exhibited, in general, good agreement with the results provided by simulation and showed that the developed antennas met the specifications established for them. By means of both simulation and experimental results, the performance of the developed antennas could be verified, and the effectiveness of the design procedure adopted was demonstrated.

Natural turbulent convection studies encompass a wide range of flows occurring in nature, for example, atmospheric and oceanic flows, con-vection in the Earth’s mantle, convection in the stars and also in many engineering applications. Rayleigh-Benard convection (RBC), i.e. con-vection in a horizontal fluid layer confined between two plates with a temperature differential maintained across them, has been a proto-type problem in the studies of turbulent natural convection. Many small scale and global features of the flow in the turbulent regime of RBC are known, yet the flow dynamics is not fully understood, es-pecially at high Rayleigh numbers (Ra). Present work comprises of experimental investigations of a different type of flow, high Rayleigh number turbulent convection in a long vertical tube (abbreviated as tube convection or TC). The tube of aspect ratio (length to diameter) of about 10, open at both the ends interconnects two large tanks. The flow driven by an unstable density difference created between the two tanks, has some unique features, different from RBC. The net flow at any tube cross-section is zero and the time averages of the velocities, the Reynolds shear stress and the mean shear are also zero. Turbu-lent energy production is therefore solely due to buoyancy. The flow is axially homogeneous and axisymmetric. In the homogeneous region, the mean density gradient is linear. Rayleigh number in TC is conve-niently defined based on the mean (linear) density gradient (denoted by Rag). Two sets of experiments are carried out. In one set of experiments, the density difference is created using brine and fresh water and in another set, it is created using heat. The ranges of Rag achieved are 3 × 108 < Rag < 8 × 109 in the experiments using salt (Schmidt number, Sc ≈ 600) and 5 × 104 < Rag < 5 × 106 in the experiments using heat (Prandtl number, P r ≈ 6). From the measured salt and heat fluxes in both the sets of experiments, the non dimensional flux 1 1 scaling above a certain value of Rag is obtained as N ug ∼ Rag2 P r 2 and from the velocity measurements in the experiments using salt, the 1 Reynolds number scaling is obtained as Re ∼ Rag2 P r− 12 . Both these are as per the predicted scalings by the mixing length model proposed by Arakeri et al. (2000) for high Rag convection in the vertical tube. The flux scaling N u ∼ (RaP r)2 , also known as the ‘ultimate regime’ of convection, expected at very high Ra but not yet observed in the experiments in classical RBC, is easily achieved in TC at relatively lower values of Ra. The fluxes and Reynolds numbers in TC are orders of magnitude higher as compared to those obtained in RBC for similar values of Ra and P r. In the lower range of Rag values for P r ≈ 6, a transition to a new flux scaling, N u ∼ (RaP r)0.29 is found. Similar transitions are also found to be present in the results of Tovar (2002) for Sc ≈ 600 and in the DNS results of Schmidt et al. (2012) for P r = 1, at different values of Rag. Collecting all these data, it is shown that the transition occurs at a fixed Grashof number of 1.6 × 105, independent of P r. Velocity measurements are carried out using particle image velocime-try (PIV) in the salt experiments. Kinetic energy spectra computed from the velocity fields are presented for the locations from the tube axis to the wall, for the lowest and the highest values of Rag achieved in the experiments. The spatial energy spectrum of lateral velocity at the tube axis follows Kolmogorov-Obukhov (KO) scaling (−5/3 scaling exponent) while the spatial spectrum of longitudinal velocity shows a scaling slightly higher than −5/3 but lower than −11/5 (the Bolgiano-Obukhov (BO) scaling). The scalar spectra is computed from the concentration fields obtained from planar laser induced fluorescence (PLIF) in the experiments using salt, and also from the temperature measurements from the experiments using heat. Both the concentra-tion and temperature fluctuations spectra show some evidence of dual scaling - BO scaling (−7/5 scaling exponent) in the inertial subrange followed by Obukhov-Corrsin (OC) scaling (−5/3 scaling exponent) over a narrow range of scales. Light propagation through the buoyancy driven turbulent flow in TC has also been experimentally investigated. Light propagation through convective turbulence is encountered in many situations. In some cases e.g. in observational astronomy it is undesirable, while in some other cases it is useful, e.g. in remote sensing of meteorological parameters. In the present study, light intensity and angle of arrival fluctuations in a parallel beam of light are measured. Laser shadowgraphy is used in the intensity measurements while the angle of arrival is obtained by measuring deflections of narrow laser beams, created by passing collimated laser light through a mask having equispaced grid of holes. Background oriented schlieren (BOS) measurements have also been carried out to obtain the displacements, which are proportional to the angle of arrivals. The equations for frequency spectrum of intensity and angle of arrival from the literature, developed for isotropic, ho-mogeneous turbulent media, are modified for the flow in the present case and the asymptotic scalings for high and low frequency ranges are obtained. The scalings in the frequency spectra computed from the measurements of intensity and angle of arrival fluctuations are com-pared with the obtained asymptotic scalings. The results from the present work are also compared with results from studies in the atmo-sphere and lab experiments.

Orientador: Paulo Ricardo da Silva / Banca: Luis Fernando Mello / Banca: João Carlos Ferreira Costa / Resumo: Nesta dissertação estudamos critérios para determinar a existência, a não existência e a unicidade de ciclos limites de campos de vetores planares. Mais especificamente, estudamos equações de Lienard Äx + f(x; _ x) _ x + g(x) = 0; onde f e g satisfazem determinadas hip¶oteses. Em particular estudamos a equa»c~ao de van der Pol Äx + "(x2 ¡ 1) _ x + x = 0; a qual é conhecida da teoria dos circuitos elétricos. Provamos a existência e a unicidade de ciclos limites para estas equações. Por fim estudamos a equação de van der Pol com o parâmetro" " 1 e o fenômeno canard que ocorre ao considerarmos um parâmetro adicional ®: As técnicas utilizadas s~ao as usuais de Análise Assintótica. / Abstract: In this work we study the existence, the non existence and the uniqueness of limit cycles of planar vector felds. More specifically, we study Lienard equations Äx+f(x; _ x) _ x+g(x) = 0; where f and g satisfy some hypothesis. In particular we study the van der Pol equation Äx + "(x2 ¡ 1) _ x + x = 0; which is knew of the circuit theory. We prove the existence and the uniqueness of limit cycles for these equations. In the last part we study the van der Pol equation with the parameter " " 1 and the canard phenomenon which appears when we consider an additional parameter ®: The techniques employed are the usual in the Asymptotic Analysis. / Mestre