969 resultados para Homologia Singular


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My thesis studies how people pay attention to other people and the environment. How does the brain figure out what is important and what are the neural mechanisms underlying attention? What is special about salient social cues compared to salient non-social cues? In Chapter I, I review social cues that attract attention, with an emphasis on the neurobiology of these social cues. I also review neurological and psychiatric links: the relationship between saliency, the amygdala and autism. The first empirical chapter then begins by noting that people constantly move in the environment. In Chapter II, I study the spatial cues that attract attention during locomotion using a cued speeded discrimination task. I found that when the motion was expansive, attention was attracted towards the singular point of the optic flow (the focus of expansion, FOE) in a sustained fashion. The more ecologically valid the motion features became (e.g., temporal expansion of each object, spatial depth structure implied by distribution of the size of the objects), the stronger the attentional effects. However, compared to inanimate objects and cues, people preferentially attend to animals and faces, a process in which the amygdala is thought to play an important role. To directly compare social cues and non-social cues in the same experiment and investigate the neural structures processing social cues, in Chapter III, I employ a change detection task and test four rare patients with bilateral amygdala lesions. All four amygdala patients showed a normal pattern of reliably faster and more accurate detection of animate stimuli, suggesting that advantageous processing of social cues can be preserved even without the amygdala, a key structure of the “social brain”. People not only attend to faces, but also pay attention to others’ facial emotions and analyze faces in great detail. Humans have a dedicated system for processing faces and the amygdala has long been associated with a key role in recognizing facial emotions. In Chapter IV, I study the neural mechanisms of emotion perception and find that single neurons in the human amygdala are selective for subjective judgment of others’ emotions. Lastly, people typically pay special attention to faces and people, but people with autism spectrum disorders (ASD) might not. To further study social attention and explore possible deficits of social attention in autism, in Chapter V, I employ a visual search task and show that people with ASD have reduced attention, especially social attention, to target-congruent objects in the search array. This deficit cannot be explained by low-level visual properties of the stimuli and is independent of the amygdala, but it is dependent on task demands. Overall, through visual psychophysics with concurrent eye-tracking, my thesis found and analyzed socially salient cues and compared social vs. non-social cues and healthy vs. clinical populations. Neural mechanisms underlying social saliency were elucidated through electrophysiology and lesion studies. I finally propose further research questions based on the findings in my thesis and introduce my follow-up studies and preliminary results beyond the scope of this thesis in the very last section, Future Directions.

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Este trabalho aborda relevante tema jurídico para as cidades brasileiras. Apesar das normas editadas e dos esforços empreendidos pelo Poder Público na execução da política urbana nos últimos anos, os novos conceitos do direito urbanístico carecem de maior clareza, sobretudo no que respeita ao planejamento urbano. Na tentativa de se transformar a cidade real na cidade ideal foram desenvolvidas técnicas do planejamento urbano, sendo o plano diretor seu principal instrumento. A partir da Constituição Federal de 1988 impõe-se tratamento jurídico ao plano diretor, instituto trazido de outros ramos da ciência para regular o exercício do direito de propriedade e promover o desenvolvimento da cidade, garantindo-se, ainda, a participação da sociedade na elaboração, execução e controle do planejamento urbano. Apuram-se os limites do poder local no estabelecimento da política de desenvolvimento da cidade com base na repartição de competências constitucionais em matéria urbanística e nas normas que regem a política urbana nacional. Examina-se o plano diretor da cidade, no cenário jurídico nacional, adotando-se como caso referência o Plano Diretor Decenal da Cidade do Rio de Janeiro, aprovado em 1992. Justifica-se esta opção pela rica experiência no trato da coisa urbana adquirida ao longo da singular trajetória da cidade, que a mantém, ainda hoje, como referência nacional. Conclui-se que a Constituição Federal atribuiu ao plano diretor a tarefa de fixar os limites ao exercício do direito de propriedade, cujo conteúdo é definido de acordo com as funções da cidade.Por fim, defende-se a tese de que o plano diretor tem natureza jurídica de lei programática, situando-se no topo da legislação, logo abaixo da Lei Orgânica Municipal, impondo-se sua observância pelo legislador ordinário e pelo administrador no contínuo processo de planejamento urbano.

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[EU]Lan honen gaia SCARA errobot motaren mugimendu gaitasunen analisia egitea da, eta ibilbideen sorkuntzarako metodoekin batera software grafiko batean inplementatzea mugimenduaren simulazioa egin ahal izateko. Errobot serieen zinematikaren oinarrizko ezagutzatik hasita, mota konkretu batetara aplikatu egiten da eta honek aurkezten dituen berezitasunak garatu egiten dira, bi helburutara bideratuta: SCARA errobotaren mugimendu gaitasunak ezagutzea. Ibilbideen sorkuntzarako metodo baten inplementazioa. Hasteko, gaiaren egoera aztertu da, aplikazio nagusien eta ibilbide moten informazioa batzeko. Halaber ibilbideen sorkuntzarako metodoak arakatu dira, erabilera honetarako aproposena aurkitzeko. Jarraian, errobotaren analisia burutu da, ohizko erreminta matematikoak erabiliz, funtsezkoak diren lan eremua eta kokapen singularrak lortzeko. Ostean, software grafikoa garatu da mugimendu gaitasun hauek simulatzeko. Ohiko aplikazioetan oinarritutako ibilbideak sortzeko aukerak gehitu dira. Amaitzeko, oztopoak saihesten dituen ibilbideen sorkuntzarako metodoa inplementatu da, “pick and place” ibilbide motaren barruan.

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Este trabalho apresenta as principais perspectivas estabelecidas a partir da utilização do patrimônio herdado da atividade canavieira no desenvolvimento da atividade turística, na região norte do estado do Rio de Janeiro. Para isso, discutiremos os principais conceitos que permitem entender como áreas consideradas rurais ou marcadas por uma história vinculada a alguma atividade agrícola passam por um processo de transformação e são inseridas em uma nova fase. Essas transformações são percebidas nos espaços chamados de rurais e aparecem hoje com uma nova perspectiva de utilização, antes eram destinados exclusivamente às atividades agrícolas. Outro aspecto verificado é que paisagens singulares acabam se constituindo em patrimônios culturais, na medida em que se tornam representações sociais. A paisagem então acaba sendo relacionada à memória e à identidade local. Nos municípios estudados ela é marcada pelas tradicionais plantações de cana-de-açúcar, que ao longo de mais de um século influenciou a vida e o cotidiano daquela porção do espaço fluminense, permitindo uma arquitetura e uma paisagem peculiar. Desta forma, nosso objetivo é entender como a paisagem é utilizada no desenvolvimento da atividade turística como recurso a ser explorado, além de tentarmos visualizar os principais agentes que promovem as iniciativas de (re)valorização patrimonial e como o espaço é modificado com tal atividade.

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We consider canonical systems with singular left endpoints, and discuss the concept of a scalar spectral measure and the corresponding generalized Fourier transform associated with a canonical system with a singular left endpoint. We use the framework of de Branges’ theory of Hilbert spaces of entire functions to study the correspondence between chains of non-regular de Branges spaces, canonical systems with singular left endpoints, and spectral measures.

We find sufficient integrability conditions on a Hamiltonian H which ensure the existence of a chain of de Branges functions in the first generalized Pólya class with Hamiltonian H. This result generalizes de Branges’ Theorem 41, which showed the sufficiency of stronger integrability conditions on H for the existence of a chain in the Pólya class. We show the conditions that de Branges came up with are also necessary. In the case of Krein’s strings, namely when the Hamiltonian is diagonal, we show our proposed conditions are also necessary.

We also investigate the asymptotic conditions on chains of de Branges functions as t approaches its left endpoint. We show there is a one-to-one correspondence between chains of de Branges functions satisfying certain asymptotic conditions and chains in the Pólya class. In the case of Krein’s strings, we also establish the one-to-one correspondence between chains satisfying certain asymptotic conditions and chains in the generalized Pólya class.

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An attempt is made to provide a theoretical explanation of the effect of the positive column on the voltage-current characteristic of a glow or an arc discharge. Such theories have been developed before, and all are based on balancing the production and loss of charged particles and accounting for the energy supplied to the plasma by the applied electric field. Differences among the theories arise from the approximations and omissions made in selecting processes that affect the particle and energy balances. This work is primarily concerned with the deviation from the ambipolar description of the positive column caused by space charge, electron-ion volume recombination, and temperature inhomogeneities.

The presentation is divided into three parts, the first of which involved the derivation of the final macroscopic equations from kinetic theory. The final equations are obtained by taking the first three moments of the Boltzmann equation for each of the three species in the plasma. Although the method used and the equations obtained are not novel, the derivation is carried out in detail in order to appraise the validity of numerous approximations and to justify the use of data from other sources. The equations are applied to a molecular hydrogen discharge contained between parallel walls. The applied electric field is parallel to the walls, and the dependent variables—electron and ion flux to the walls, electron and ion densities, transverse electric field, and gas temperature—vary only in the direction perpendicular to the walls. The mathematical description is given by a sixth-order nonlinear two-point boundary value problem which contains the applied field as a parameter. The amount of neutral gas and its temperature at the walls are held fixed, and the relation between the applied field and the electron density at the center of the discharge is obtained in the process of solving the problem. This relation corresponds to that between current and voltage and is used to interpret the effect of space charge, recombination, and temperature inhomogeneities on the voltage-current characteristic of the discharge.

The complete solution of the equations is impractical both numerically and analytically, and in Part II the gas temperature is assumed uniform so as to focus on the combined effects of space charge and recombination. The terms representing these effects are treated as perturbations to equations that would otherwise describe the ambipolar situation. However, the term representing space charge is not negligible in a thin boundary layer or sheath near the walls, and consequently the perturbation problem is singular. Separate solutions must be obtained in the sheath and in the main region of the discharge, and the relation between the electron density and the applied field is not determined until these solutions are matched.

In Part III the electron and ion densities are assumed equal, and the complicated space-charge calculation is thereby replaced by the ambipolar description. Recombination and temperature inhomogeneities are both important at high values of the electron density. However, the formulation of the problem permits a comparison of the relative effects, and temperature inhomogeneities are shown to be important at lower values of the electron density than recombination. The equations are solved by a direct numerical integration and by treating the term representing temperature inhomogeneities as a perturbation.

The conclusions reached in the study are primarily concerned with the association of the relation between electron density and axial field with the voltage-current characteristic. It is known that the effect of space charge can account for the subnormal glow discharge and that the normal glow corresponds to a close approach to an ambipolar situation. The effect of temperature inhomogeneities helps explain the decreasing characteristic of the arc, and the effect of recombination is not expected to appear except at very high electron densities.

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This thesis is in two parts. In the first section, the operator structure of the singular terms in the equal-time commutator of space and time components of the electromagnetic current is investigated in perturbation theory by establishing a connection with Feynman diagrams. It is made very plausible that the singular term is a c number. Some remarks are made about the same problem in the electrodynamics of a spinless particle.

In the second part, an SU(3) symmetric multi-channel calculation of the electromagnetic mass differences in the pseudoscalar meson and baryon octets is carried out with an attempt to include some of the physics of the crossed (pair annihilation) channel along the lines of the recent work by Ball and Zachariasen. The importance of the tensor meson Regge trajectories is emphasized. The agreement with experiment is poor for the isospin one mass differences, but excellent for those with isospin two.

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The structure of the set ϐ(A) of all eigenvalues of all complex matrices (elementwise) equimodular with a given n x n non-negative matrix A is studied. The problem was suggested by O. Taussky and some aspects have been studied by R. S. Varga and B.W. Levinger.

If every matrix equimodular with A is non-singular, then A is called regular. A new proof of the P. Camion-A.J. Hoffman characterization of regular matrices is given.

The set ϐ(A) consists of m ≤ n closed annuli centered at the origin. Each gap, ɤ, in this set can be associated with a class of regular matrices with a (unique) permutation, π(ɤ). The association depends on both the combinatorial structure of A and the size of the aii. Let A be associated with the set of r permutations, π1, π2,…, πr, where each gap in ϐ(A) is associated with one of the πk. Then r ≤ n, even when the complement of ϐ(A) has n+1 components. Further, if π(ɤ) is the identity, the real boundary points of ɤ are eigenvalues of real matrices equimodular with A. In particular, if A is essentially diagonally dominant, every real boundary point of ϐ(A) is an eigenvalues of a real matrix equimodular with A.

Several conjectures based on these results are made which if verified would constitute an extension of the Perron-Frobenius Theorem, and an algebraic method is introduced which unites the study of regular matrices with that of ϐ(A).

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Part I:

The perturbation technique developed by Rannie and Marble is used to study the effect of droplet solidification upon two-phase flow in a rocket nozzle. It is shown that under certain conditions an equilibrium flow exists, where the gas and particle phases have the same velocity and temperature at each section of the nozzle. The flow is divided into three regions: the first region, where the particles are all in the form of liquid droplets; a second region, over which the droplets solidify at constant freezing temperature; and a third region, where the particles are all solid. By a perturbation about the equilibrium flow, a solution is obtained for small particle slip velocities using the Stokes drag law and the corresponding approximation for heat transfer between the particle and gas phases. Singular perturbation procedure is required to handle the problem at points where solidification first starts and where it is complete. The effects of solidification are noticeable.

Part II:

When a liquid surface, in contact with only its pure vapor, is not in the thermodynamic equilibrium with it, a net condensation or evaporation of fluid occurs. This phenomenon is studied from a kinetic theory viewpoint by means of moment method developed by Lees. The evaporation-condensation rate is calculated for a spherical droplet and for a liquid sheet, when the temperatures and pressures are not too far removed from their equilibrium values. The solutions are valid for the whole range of Knudsen numbers from the free molecule to the continuum limit. In the continuum limit, the mass flux rate is proportional to the pressure difference alone.

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Part I

Several approximate Hartree-Fock SCF wavefunctions for the ground electronic state of the water molecule have been obtained using an increasing number of multicenter s, p, and d Slater-type atomic orbitals as basis sets. The predicted charge distribution has been extensively tested at each stage by calculating the electric dipole moment, molecular quadrupole moment, diamagnetic shielding, Hellmann-Feynman forces, and electric field gradients at both the hydrogen and the oxygen nuclei. It was found that a carefully optimized minimal basis set suffices to describe the electronic charge distribution adequately except in the vicinity of the oxygen nucleus. Our calculations indicate, for example, that the correct prediction of the field gradient at this nucleus requires a more flexible linear combination of p-orbitals centered on this nucleus than that in the minimal basis set. Theoretical values for the molecular octopole moment components are also reported.

Part II

The perturbation-variational theory of R. M. Pitzer for nuclear spin-spin coupling constants is applied to the HD molecule. The zero-order molecular orbital is described in terms of a single 1s Slater-type basis function centered on each nucleus. The first-order molecular orbital is expressed in terms of these two functions plus one singular basis function each of the types e-r/r and e-r ln r centered on one of the nuclei. The new kinds of molecular integrals were evaluated to high accuracy using numerical and analytical means. The value of the HD spin-spin coupling constant calculated with this near-minimal set of basis functions is JHD = +96.6 cps. This represents an improvement over the previous calculated value of +120 cps obtained without using the logarithmic basis function but is still considerably off in magnitude compared with the experimental measurement of JHD = +43 0 ± 0.5 cps.

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This investigation is concerned with the notion of concentrated loads in classical elastostatics and related issues. Following a limit treatment of problems involving concentrated internal and surface loads, the orders of the ensuing displacements and stress singularities, as well as the stress resultants of the latter, are determined. These conclusions are taken as a basis for an alternative direct formulation of concentrated-load problems, the completeness of which is established through an appropriate uniqueness theorem. In addition, the present work supplies a reciprocal theorem and an integral representation-theorem applicable to singular problems of the type under consideration. Finally, in the course of the analysis presented here, the theory of Green's functions in elastostatics is extended.

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The Maxwell integral equations of transfer are applied to a series of problems involving flows of arbitrary density gases about spheres. As suggested by Lees a two sided Maxwellian-like weighting function containing a number of free parameters is utilized and a sufficient number of partial differential moment equations is used to determine these parameters. Maxwell's inverse fifth-power force law is used to simplify the evaluation of the collision integrals appearing in the moment equations. All flow quantities are then determined by integration of the weighting function which results from the solution of the differential moment system. Three problems are treated: the heat-flux from a slightly heated sphere at rest in an infinite gas; the velocity field and drag of a slowly moving sphere in an unbounded space; the velocity field and drag torque on a slowly rotating sphere. Solutions to the third problem are found to both first and second-order in surface Mach number with the secondary centrifugal fan motion being of particular interest. Singular aspects of the moment method are encountered in the last two problems and an asymptotic study of these difficulties leads to a formal criterion for a "well posed" moment system. The previously unanswered question of just how many moments must be used in a specific problem is now clarified to a great extent.

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This investigation is concerned with various fundamental aspects of the linearized dynamical theory for mechanically homogeneous and isotropic elastic solids. First, the uniqueness and reciprocal theorems of dynamic elasticity are extended to unbounded domains with the aid of a generalized energy identity and a lemma on the prolonged quiescence of the far field, which are established for this purpose. Next, the basic singular solutions of elastodynamics are studied and used to generate systematically Love's integral identity for the displacement field, as well as an associated identity for the field of stress. These results, in conjunction with suitably defined Green's functions, are applied to the construction of integral representations for the solution of the first and second boundary-initial value problem. Finally, a uniqueness theorem for dynamic concentrated-load problems is obtained.

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Let F = Ǫ(ζ + ζ –1) be the maximal real subfield of the cyclotomic field Ǫ(ζ) where ζ is a primitive qth root of unity and q is an odd rational prime. The numbers u1=-1, uk=(ζk-k)/(ζ-ζ-1), k=2,…,p, p=(q-1)/2, are units in F and are called the cyclotomic units. In this thesis the sign distribution of the conjugates in F of the cyclotomic units is studied.

Let G(F/Ǫ) denote the Galoi's group of F over Ǫ, and let V denote the units in F. For each σϵ G(F/Ǫ) and μϵV define a mapping sgnσ: V→GF(2) by sgnσ(μ) = 1 iff σ(μ) ˂ 0 and sgnσ(μ) = 0 iff σ(μ) ˃ 0. Let {σ1, ... , σp} be a fixed ordering of G(F/Ǫ). The matrix Mq=(sgnσj(vi) ) , i, j = 1, ... , p is called the matrix of cyclotomic signatures. The rank of this matrix determines the sign distribution of the conjugates of the cyclotomic units. The matrix of cyclotomic signatures is associated with an ideal in the ring GF(2) [x] / (xp+ 1) in such a way that the rank of the matrix equals the GF(2)-dimension of the ideal. It is shown that if p = (q-1)/ 2 is a prime and if 2 is a primitive root mod p, then Mq is non-singular. Also let p be arbitrary, let ℓ be a primitive root mod q and let L = {i | 0 ≤ i ≤ p-1, the least positive residue of defined by ℓi mod q is greater than p}. Let Hq(x) ϵ GF(2)[x] be defined by Hq(x) = g. c. d. ((Σ xi/I ϵ L) (x+1) + 1, xp + 1). It is shown that the rank of Mq equals the difference p - degree Hq(x).

Further results are obtained by using the reciprocity theorem of class field theory. The reciprocity maps for a certain abelian extension of F and for the infinite primes in F are associated with the signs of conjugates. The product formula for the reciprocity maps is used to associate the signs of conjugates with the reciprocity maps at the primes which lie above (2). The case when (2) is a prime in F is studied in detail. Let T denote the group of totally positive units in F. Let U be the group generated by the cyclotomic units. Assume that (2) is a prime in F and that p is odd. Let F(2) denote the completion of F at (2) and let V(2) denote the units in F(2). The following statements are shown to be equivalent. 1) The matrix of cyclotomic signatures is non-singular. 2) U∩T = U2. 3) U∩F2(2) = U2. 4) V(2)/ V(2)2 = ˂v1 V(2)2˃ ʘ…ʘ˂vp V(2)2˃ ʘ ˂3V(2)2˃.

The rank of Mq was computed for 5≤q≤929 and the results appear in tables. On the basis of these results and additional calculations the following conjecture is made: If q and p = (q -1)/ 2 are both primes, then Mq is non-singular.

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A figura da mulher ocupa significativo papel nas novelas de cavalaria do Ciclo Bretão. Emergindo como um elemento que traz liga às narrativas do lendário artúrico, constitui-se adjuvante essencial e multifacetada na construção dos episódios, numa interação constante com o masculino representado, principalmente, pelos cavaleiros. O Medievo traz à tona uma imagem matizada do feminino: a mulher socialmente vista sob clivagens diversas é refletida na literatura de cavalaria, conforme se pode verificar em A Demanda do Santo Graal. A presença feminina é importantíssima na narrativa, sobretudo na sua tensa relação com a cavalaria, agora ligada ao elemento religioso - monastizada, celibatária e ascética. O objetivo precípuo de nossos estudos é investigar de que maneira a fôrma sociocultural medieva, na qual foi moldada A Demanda do Santo Graal, se relaciona com seu substrato: as narrativas provindas da cosmovisão inerente ao imaginário céltico. Desta feita, nosso viés analítico verticaliza-se no elemento feminino presente na obra. Mais especificamente, toma-se por escopo a imagem de personagens que refletem a ideologia clerical moralístico-didatizante do século XIII, mas, sobretudo, resgata-se a imagem de personagens imbuídas de singular dualidade; ambigüidade esta que é marca não só do medievo paradoxal concernente ao feminino, mas também de personas literárias concebidas entre dois mundos, dois pólos ideológicos distintos. Em outros termos, fala-se de personagens que são seres ficcionais bifrontes: personagens localizadas entre as herdades e as identidades. Foram tomados como corpora de pesquisa os episódios em que estas damas polidimensionais aparecem e se tornam adjuvantes na ação literária, seja para cooperar, confundir ou prejudicar os cavaleiros que empreendem a sagrada, inefável e venturosa busca do Santo Cálix que dará fim às aventuras do Reino de Logres