The character theory of the symmetric group is a powerful method of studying enu- merative questions about factorizations of permutations, which arise in areas including topology, geometry, and mathematical physics. This method relies on having an encoding of the enumerative problem in the centre Z(n) of the algebra C[S_n] spanned by the symmetric group S_n. This thesis develops methods to deal with permutation factorization problems which cannot be encoded in Z(n). The (p,q,n)-dipole problem, which arises in the study of connections between string theory and Yang-Mills theory, is the chief problem motivating this research. This thesis introduces a refinement of the (p,q,n)-dipole problem, namely, the (a,b,c,d)- dipole problem. A Join-Cut analysis of the (a,b,c,d)-dipole problem leads to two partial differential equations which determine the generating series for the problem. The first equation determines the series for (a,b,0,0)-dipoles, which is the initial condition for the second equation, which gives the series for (a,b,c,d)-dipoles. An analysis of these equa- tions leads to a process, recursive in genus, for solving the (a,b,c,d)-dipole problem for a surface of genus g. These solutions are expressed in terms of a natural family of functions which are well-understood as sums indexed by compositions of a binary string. The combinatorial analysis of the (a,b,0,0)-dipole problem reveals an unexpected fact about a special case of the (p,q,n)-dipole problem. When q=n−1, the problem may be encoded in the centralizer Z_1(n) of C[S_n] with respect to the subgroup S_{n−1}. The algebra Z_1(n) has many combinatorially important similarities to Z(n) which may be used to find an explicit expression for the genus polynomials for the (p,n−1,n)-dipole problem for all values of p and n, giving a solution to this case for all orientable surfaces. Moreover, the algebraic techniques developed to solve this problem provide an alge- braic approach to solving a class of non-central problems which includes problems such as the non-transitive star factorization problem and the problem of enumerating Z_1- decompositions of a full cycle, and raise intriguing questions about the combinatorial significance of centralizers with respect to subgroups other than S_{n−1}.

Thesis (Ph. D.), Memorial University of Newfoundland, 1998. / Bibliography: leaves 142-156.

Thesis (Ph. D.)--University of Texas at Austin, 2008. / Vita. Includes bibliographical references.

Com base em trabalhos tanto teóricos como experimentais, tem-se concluído que o Cu+ fica em posição fora de centro em alguns halogenetos alcalinos. Neste, trabalho apresentamos resultados obtidos por técnicas de correntes termoestimuladas(ITC), para, verificar propriedades de dipolos elétricos devido a Íons de Cu+ em posição fora da centro em cristais de KCl. Ampliou-se o estudo do comportamento do Cu+ em cristais de KBr e KI. As bandas de ITC observadas nestes cristais, apresentam máximos em 62, 70 e 83 &#176K, e as energias de ativação são de 0.177, 0.196 e 0.232 eV em KCl, KBr e KI, respectivamente. A partir da integração das bandas de ITC e as concentrações de Cu+ achados por absorção ótica, o momento, dipolar elétrico é determinado, conduzindo a valores de 1.5, 1.9 e 2.6 e &#197 no KCl, KBr e KI, respectivamente. Dada a forma da banda de ITC, comprova-se que a reorientação dos dipo1os segue o modelo clássico com um tempo de relaxação simples, e que o Cu+ fica congelado em posição fora de centro abaixo daquelas temperaturas em que ocorre o máximo da banda de ITC. / Theoretical and experimental investigations have concluded that Cu+ occupies an off-canter position in several alkali halides. In this work we report results obtained by ionic thermal-currents technique (ITC) to verify the electric dipole properties due to Cu+ ions in off-center position in KC1 crystals. This was developed to study the Cu+ ion behaviour in KBr and KI crystals. The ITC band observed in these crystals geve maxima at 62, 70 and 83 &#176K, and the activation energies were 0.177, 0.196 end 0.232 eV in KCI, KBr and KI, respectively. From the integration of the ITC bands and the concentration of Cu+ obtained by optical absorption, the dipole moment is determined, giving values of 1.5, 1.9 and 2.6 e &#197 in KC1, KBr and KI, respectively. Due to the shape of the ITC band, we conclude that the dipole reorientation follows the classical model with a single relaxation time, and that the Cu+ freeze in off-center position below those temperatures where maximum occur at the ITC band.

CoordenaÃÃo de AperfeiÃoamento de Pessoal de NÃvel Superior / Estuda-se, neste trabalho, aglomerados bidimensionais de partÃculas dipolares magnÃticas, com carga elÃtrica superficial, confinadas em um potencial parabÃlico circular. As partÃculas possuem mesmo mÃdulo de momento de dipolo magnÃtico, assim como mesmos mÃdulo e sinal de carga superficial. O objetivo do presente estudo à a caracterizaÃÃo das configuraÃÃes do estado fundamental e do espectro dos modos normais do aglomerado. O sistema à estudado numericamente atravÃs de simulaÃÃes Monte Carlo, utilizando o algoritmo de Metropolis. Utilizou-se ainda o chamado MÃtodo de Newton Modificado para auxiliar a obtenÃÃo das configuraÃÃes de mÃnima energia. O estudo à dividido em duas partes: i) Na primeira, a dependÃncia das configuraÃÃes de equilÃbrio e modos normais à analisada em funÃÃo da carga superficial, na presenÃa e ausÃncia de campo magnÃtico externo, considerando-se o momento de dipolo magnÃtico constante. ii) Na segunda, a carga superficial e o momento de dipolo magnÃtico sÃo fixados e as configuraÃÃes de equilÃbrio e os modos normais sÃo estudados em funÃÃo da intensidade do campo magnÃtico externo. Nesta parte, calcula-se ainda a magnetizaÃÃo do sistema em funÃÃo do campo externo. O espectro de frequÃncias dos modos normais de vibraÃÃo foram obtidos atravÃs da tÃcnica de aproximaÃÃo harmÃnica. Devido à nÃo-simetria espacial da interaÃÃo magnÃtica dipolar, os modos normais devem apresentar um componente extra de rotaÃÃo. Observa-se que para um intervalo caracterÃstico da carga superficial das partÃculas, o espectro de frequÃncias sofre uma grande variaÃÃo de intensidade. Observa-se que no caso dependente da carga, o sistema apresenta caracterÃsticas que independem do campo magnÃtico aplicado. Observa-se, no caso dependente do campo aplicado, uma menor variedade de configuraÃÃes de equilÃbrio deste tipo de sistema em relaÃÃo ao dependente da carga. / It is studied at this thesis a two-dimensional cluster of magnetic particles, with surface charge, confined by a circular parabolic potential. The particles have the same magnitude of magnetic dipole moment and the same amount and sign of surface charge. The goal of the present study is the characterization of the ground state configurations and the normal mode spectra of the cluster. The numerical study of the system is based on the Monte Carlo simulation technique, using the Metropolis Algorithm. It was also used the called Newton Method technique to reach the ground state configurations . The present study is divided in two parts: i) In the first one, the dependence of the equilibrium configurations and the normal modes is analyzed considering the presence or not of a external magnetic field. The magnetic dipole moment is taken as constant. ii) In the second one, the surface charge and the magnetic dipole moment are taken as constant, and the ground state configurations and the normal modes are studied as function the the external magnetic field intensity. At this part, it is also calculated the magnetization of the system as function of the external magnetic field. It was observed a great number of different ground state configurations, like concentric rings, and chains. The vibrational normal mode frequencies spectra was obtained by using the harmonic approximation. Due to the non-spatial symmetry of the magnetic dipole interaction, the normal modes must show an extra rotational component. It can be noted that due to surface charge of the particles the frequencies spectra can present elevated variation on the intensity. It can also be noted that some properties of the first case system also occurs on the second case system, and these properties are independent of the applied magnetic field, and in the second case system it can be noted that there are less different ground state configurations as compared with the first one.

A Corrente do Brasil é formada na bifurcação do ramo sul da Corrente Sul Equatorial e flui meridionalmente para sul ao largo das costas leste, sudeste e sul do Brasil, apresentando intensa atividade de mesoescala entre a Cadeia Vitória-Trindade (20oS) e o Cabo de Santa Marta Grande (28oS). O conhecimento de tal atividade, construído ao longo do tempo, se refere principalmente aos meandros e vórtices frontais, sendo os vórtices de borda na configuração de dipolos vorticais relatados apenas através de imagens AVHRR. Dessa forma, objetivamos caracterizar a estrutura dinâmica de um dipolo vortical, observado na Bacia de Santos, a partir de dados quase-sinóticos de velocidade e hidrográficos oriundos do Cruzeiro Dinâmica do Ecossistema da Plataforma da Região Oeste do Atlântico Sul V. O mapeamento objetivo das estruturas capturadas pela grade amostral quase-sinótica do cruzeiro foi o ponto de partida para a descrição do dipolo e avaliação de sua geostrofia. Os campos de função de corrente apresentaram um padrão clássico de dipolo vortical, com vórtices ciclônico e anticiclônico posicionados em lados opostos ao eixo da corrente, que se enfraquece após a estrutura. Em média, o diâmetro de ambos os vórtices ficou em torno de 110 km, em seus maiores eixos. Em seguida, como o número de Rossby máximo foi de 0,27, para avançar nas questões dinâmicas envolvendo a estrutura, aproximamos o oceano a um modelo quase-geostrófico de 11/2-camadas derivado das observações e dinamicamente calibrado. A análise dos campos modelados, utilizando o número de Burger, revelou que a vorticidade relativa compete com a vorticidade de estiramento pela dinâmica do sistema. Ao compararmos os campos modelados de função de corrente e vorticidade potencial, observamos que o dipolo e o escoamento da CB não se encontram em um cenário estacionário. Finalmente, evidências de retroalimentação mútua entre os vórtices do dipolo foram obtidas através da interação entre o campo de função de corrente de uma estrutura com o campo de vorticidade potencial da outra. Logo, concluímos que o dipolo capturado encontrava-se em processo de crescimento barotrópico. / The Brazil Current (BC) is formed at the bifurcation of the southern branch of the South Equatorial Current and flows south-southeastward off the east, southeast and southern Brazilian continental margin, exhibiting intense meso-scale activity between the Vitória-Trindade Ridge (20oS) and Cape Santa Marta Grande (28oS). The knowledge of such activity, built over time, refers mainly to the frontal meanders and eddies. The edge vortical structures as a dipole configuration are reported only through AVHRR images. Thus, we aimed to characterize the dynamical structure of a BC vortical dipole, observed in the Santos Basin, with a quasi-synoptic velocity (vessel-mounted ADCP) and hydrographic (CTD) dataset from DEPROAS V cruise. The objective mapping of structures captured by the cruise sampling grid was the departing point for the description of the dipole and evaluation of its degree of geostrophy. The fields of the stream function showed a classic pattern of a dipole with cyclonic and anticyclonic eddies positioned on opposite sides of the current axis. On average, the diameter of the two eddies was around 110 km in their largest axes. Then, as the Rossby number was 0.27, we advanced in investigating the issues involving the dynamic structure by we approximating the ocean to a 11/2 layer quasi-geostrofic model derived from the observations and dynamically calibrated. Burger number revealed that both relative and stretching vorticity were competing for the dynamics of the system. The comparison between the modeled stream function and potential vorticity fields showed that both the dipole and the BC flow were not in a stationary state. Finally, evidences of reinforcement between the eddies of the dipole were obtained through the interaction between the field of the stream function of vortical structure with the field of potential vorticity of the other one, and vice-versa. Therefore, we conclude that the dipole were in a barotropic growth process.

Yes / This communication presents a single-feed ultra-wideband circularly polarized (CP) antenna with high front-to-back ratio (FBR). The antenna is composed of two orthogonally placed elliptical dipoles printed on both sides of a substrate. To realize high FBR, a novel composite cavity is also proposed and integrated with the presented crossed dipoles, which effectively reduces the backlobe of the crossed dipoles. Simulation results are in good agreement with the measured results that demonstrate an impedance bandwidth from 0.9 to 2.95 GHz (106.5%) and a 3-dB axial ratio (AR) bandwidth from 1 to 2.87 GHz (96.6%). The measured FBR is about 30 dB across the whole global navigation satellite system (GNSS) band. Compared with other reported single-feed wideband CP antennas, the antenna has advantages such as a wider CP bandwidth and lower backlobe radiation.

No description available.

The performance of commercial Radio Frequency Identification (RFID) tags is primarily limited by present techniques used for tag antenna design. Currently, industry techniques rely on identifying the RFID tag application (books, clothing, etc.) and then building antenna prototypes of different configurations in order to satisfy minimum read range requirements. However, these techniques inherently lack an electromagnetic basis and are unable to provide a low cost solution to the tag antenna design process. RFID tag performance characteristics (read-range, chip-antenna impedance matching, surrounding environment) can be very complex, and a thorough understanding of the RFID tag antenna design may be gained through an electromagnetic approach in order to reduce the tag antenna size and the overall cost of the RFID system. The research presented in this thesis addresses RFID tag antenna design process for passive RFID tags. With the growing number of applications (inventory, supply-chain, pharmaceuticals, etc), the proposed RFID antenna design process demonstrates procedures to design tag antennas for such applications. Electrical/geometrical properties of the antennas designed were investigated with the help of computer electromagnetic simulations in order to achieve optimal tag performance criteria such as read range, chip-impedance matching, antenna efficiency, etc. Experimental results were performed on the proposed antenna designs to compliment computer simulations and analytical modelling.

The performance of commercial Radio Frequency Identification (RFID) tags is primarily limited by present techniques used for tag antenna design. Currently, industry techniques rely on identifying the RFID tag application (books, clothing, etc.) and then building antenna prototypes of different configurations in order to satisfy minimum read range requirements. However, these techniques inherently lack an electromagnetic basis and are unable to provide a low cost solution to the tag antenna design process. RFID tag performance characteristics (read-range, chip-antenna impedance matching, surrounding environment) can be very complex, and a thorough understanding of the RFID tag antenna design may be gained through an electromagnetic approach in order to reduce the tag antenna size and the overall cost of the RFID system. The research presented in this thesis addresses RFID tag antenna design process for passive RFID tags. With the growing number of applications (inventory, supply-chain, pharmaceuticals, etc), the proposed RFID antenna design process demonstrates procedures to design tag antennas for such applications. Electrical/geometrical properties of the antennas designed were investigated with the help of computer electromagnetic simulations in order to achieve optimal tag performance criteria such as read range, chip-impedance matching, antenna efficiency, etc. Experimental results were performed on the proposed antenna designs to compliment computer simulations and analytical modelling.