Local classification of singular hexagonal 3-webs with holomorphic Chern connection form and infinitesimal symmetries

Implicit ODE, cubic in derivative, generically has no infinitesimal symmetries even at regular points with distinct roots. Cartan showed that at regular points, ODEs with hexagonal 3-web of solutions have symmetry algebras of the maximal possible dimension 3. At singular points such a web can lose all its symmetries. In this paper we study hexagonal 3-webs having at least one infinitesimal symmetry at singular points. In particular, we establish sufficient conditions for the existence of non-trivial symmetries and show that under natural assumptions such a symmetry is semi-simple, i.e. is a scaling in some coordinates. Using the obtained results, we provide a complete classification of hexagonal singular 3-web germs in the complex plane, satisfying the following two conditions: 1) the Chern connection form is holomorphic at the singular point, 2) the web admits at least one infinitesimal symmetry at this point. As a by-product, a classification of hexagonal weighted homogeneous 3-webs is obtained.

Some deviations of form: a little essay on psychoanalysis, art and aesthetics

This work intends to investigate the use of psychoanalytical theory within the aesthetic and critical contemporary art field. To this purpose, it focuses on two philosophers who have become significant in our time: the art critic Hal Foster and the art historian Georges Didi-Huberman. This study aims to show how far the concepts generated in psychoanalytic praxis allowed interpretations that disrupt the traditional aesthetics field. This type of analysis is possible once we abandon the paradigm of “applied psychoanalysis”, which is still current in non-clinical setting. Finally, the proposal wants to argue that the category of the amorphous may clarify certain aesthetic experiences that range from the modernity of art through postmodernity.

Sistemas de controle em domínios estratificados

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

A note on the integral trace form in cyclotomic fields

Let m >= 3 be an integer, zeta(m) is an element of C a primitive mth root of unity, and K-m the cyclotomic field Q(zeta(m)). An explicit description of the integral trace form Tr-Km/Q(x (x) over bar)vertical bar Z[zeta(m)] where (x) over bar is the complex conjugate of x is presented. In the case where m is prime, a procedure for finding the minimum of the form subject to x being a nonzero element of a certain Z- module in Z[zeta(m)] is presented.

Electromagnetic gauge field interpolation between the instant form and the front form of the Hamiltonian dynamics

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Influence of beta-cyclodextrin on the properties of norfloxacin form A

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

On energy harvesting form time-limited excitations: simulations and case study

Linear resonant harvesters have been the most common type of generators used to scavenge energy from mechanical vibrations. When subject to harmonic excitation, good performance is achieved once the device is tuned so that its natural frequency coincides with the excitation frequency. In such a situation, the average power harvested in a cycle is proportional to the cube of the excitation frequency and inversely proportional to the suspension damping, which is sought to be very low. However, a very low damping involves a relatively long transient in the system response, where the classical formulation adopted for steady-state regimes do not hold. This paper presents an investigation into the design of a linear resonant harvester to scavenge energy from time-limited harmonic excitations involving a transient response, which could be more likely in some practical situations. An application is presented considering train-induced vibrations.

The electromagnetic gauge invariance in SU(3)L ⊗ U(1)N models of electroweak unification reexamined

Two models with SU(3)C ⊗ SU(3)L U(1)N gauge symmetry are considered. We show that the masslessness of the photon does not prevent the neutrinos from acquiring Majorana masses. That is, there is no relation between the VEVs of Higgs fields and the electromagnetic gauge invariance contrary to what has been claimed recently. © 1998 Elsevier Science B.V. All rights reserved.

Discrete quantum phase spaces and the mod N invariance

An extended Weyl-Wigner transformation which maps operators onto periodic discrete quantum phase space representatives is discussed in which a mod N invariance is explicitly implemented. The relevance of this invariance for the mapped expression of products of operators is discussed. © 1992.

Characterization of the phosphatidylinositol-specific phospholipase C-released form of rat osseous plate alkaline phosphatase and its possible significance on endochondral ossification

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Pseudotumoral form of cerebral Schistosomiasis Mansoni

The authors report a case of 36-year-old woman presented with epileptic seizures and headaches. Magnetic resonance imaging (MRI) revealed an enhancing lesion with surrounding edema and mild mass effect in the left frontal lobe. Stereotactic brain biopsy demonstrated intraparenchymal granulomas surrounding S. mansoni eggs. Praziquantel was started (60mg/kg of body weight, in a single dose), followed by Prednisone (80mg/day) for seven days to treat the cerebral edema. The patient's symptoms resolved following medical treatment and the follow-up MRI yielded normal findings.

Perception of the informed consent form by participants in clinical trials

To understand the perception of the participants in controlled clinical trials (CCTs) about the informed consent and describe the meaning of their participation in the research. Qualitative study using the focus group technique. The sample was composed of 19 patients who participated in clinical trials about hypertension and coronary disease in a specialized cardiologic hospital located in the city of Sao Paulo. The methodological framework used was the content analysis. Some of the participants were aware of the real objective of these studies while others had misperceptions. The reading of the informed consent is not always done and, when it is done, the patient does not understand it. The lack of understanding about the term ''placebo'' was mentioned by some participants. The motivation to participate was the personal benefit. This study shows that obtaining the informed consent in CCTs is complex and that there is the need to adapt the structure and application of this document, in order to protect the participants and improve the quality of clinical trials performed in the country.

Cytogenetic and molecular data demonstrate that the bryconinae (ostariophysi, bryconidae) species from southeastern Brazil form a phylogenetic and phylogeographic unit

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)