The rolling ball problem on the plane revisited

By a sequence of rollings without slipping or twisting along segments of a straight line of the plane, a spherical ball of unit radius has to be transferred from an initial state to an arbitrary final state taking into account the orientation of the ball. We provide a new proof that with at most 3 moves, we can go from a given initial state to an arbitrary final state. The first proof of this result is due to Hammersley ( 1983). His proof is more algebraic than ours which is more geometric. We also showed that generically no one of the three moves, in any elimination of the spin discrepancy, may have length equal to an integral multiple of 2 pi.

S Q E D (4) and Q E D (4) on the Null-Plane

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

A smooth evolutionary structural optimization procedure applied to plane stress problem

Topological optimization problems based on stress criteria are solved using two techniques in this paper. The first technique is the conventional Evolutionary Structural Optimization (ESO), which is known as hard kill, because the material is discretely removed; that is, the elements under low stress that are being inefficiently utilized have their constitutive matrix has suddenly reduced. The second technique, proposed in a previous paper, is a variant of the ESO procedure and is called Smooth ESO (SESO), which is based on the philosophy that if an element is not really necessary for the structure, its contribution to the structural stiffness will gradually diminish until it no longer influences the structure; its removal is thus performed smoothly. This procedure is known as "soft-kill"; that is, not all of the elements removed from the structure using the ESO criterion are discarded. Thus, the elements returned to the structure must provide a good conditioning system that will be resolved in the next iteration, and they are considered important to the optimization process. To evaluate elasticity problems numerically, finite element analysis is applied, but instead of using conventional quadrilateral finite elements, a plane-stress triangular finite element was implemented with high-order modes for solving complex geometric problems. A number of typical examples demonstrate that the proposed approach is effective for solving problems of bi-dimensional elasticity. (C) 2014 Elsevier Ltd. All rights reserved.

Hybridization effects on the out-of-plane electron tunneling properties of monolayers: is h-BN more conductive than graphene?

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Cord blood cytokine levels in focal early-onset neonatal infection after preterm premature rupture of membranes

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Piecewise Bounded Quadratic Systems in the Plane

In this paper we study the sliding mode of piecewise bounded quadratic systems in the plane given by a non-smooth vector field Z=(X,Y). Analyzing the singular, crossing and sliding sets, we get the conditions which ensure that any solution, including the sliding one, is bounded.

Microbial invasion: focal infection and relationship with atherosclerosis

Os extraordinários avanços no desempenho de técnicas laboratoriais corroboram na evolução do entendimento dos mecanismos das doen- ças de modo geral, facilitando o tratamento e/ou a prevenção. De fato, informações equilibradas, acuradas e atuais estão colaborando de forma estimulante no estudo da relação entre doença periodontal e periapical crônica com o desenvolvimento ou estabelecimento de algumas doen- ças cardiovasculares. Dessa forma, o objetivo da presente trabalho foi descrever de forma sucinta e objetiva a relação entre doença periodontal crônica e doença periapical como fatores de risco para o desenvolvimento ou estabeleciomento da aterosclerose. Estudos epidemiológicos têm procurado demonstrar que indivíduos com doença periodontal ou periapical poderiam apresentar um aumento significativo do risco de desenvolver algumas doenças sistêmicas incluindo a aterosclerose.

Changes in irradiance and energy density in relation to different curing distances

The present study aimed to assess the influence of curing distance on the loss of irradiance and power density of four curing light devices. The behavior in terms of power density of four different dental curing devices was analyzed (Valo, Elipar 2, Radii-Cal, and Optilux-401) using three different distances of photopolymerization (0 mm, 4 mm, and 8 mm). All devices had their power density measured using a MARC simulator. Ten measurements were made per device at each distance. The total amount of energy delivered and the required curing time to achieve 16 J/cm2 of energy was also calculated. Data were statistically analyzed with one-way analysis of variance and Tukey’s tests (p < 0.05). The curing distance significantly interfered with the loss of power density for all curing light devices, with the farthest distance generating the lowest power density and consequently the longer time to achieve an energy density of 16 J/cm2 (p < 0.01). Comparison of devices showed that Valo, in extra power mode, showed the best results at all distances, followed by Valo in high power mode, Valo in standard mode, Elipar 2, Radii-Cal, and Optilux-401 halogen lamp (p < 0.01). These findings indicate that all curing lights induced a significant loss of irradiance and total energy when the light was emitted farther from the probe. The Valo device in extra power mode showed the highest power density and the shortest time to achieve an energy density of 16 J/cm2 at all curing distances.

Análise comparativa dos resultados obtidos pelos métodos de calibração de campo tridimensional e bidimensional

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

Focal invasiveness in complete histological analyses of a large acral lentiginous melanoma

Background: Acral lentiginous melanoma is a melanoma with poor prognosis which is frequently diagnosed at an advanced stage. Since the thickness of tumour is one of the main prognostic factors, this case can exemplify how important complete histological analyses looking for focal invasiveness can be.Case report: A 77 year-old woman with a black spot with slow progressive growth on the left plantar region. She sought medical attention due to the expansion onto the dorsal surface of toes. The lesion had irregular borders and had spread to half the plantar surface. Histopathology confirmed the clinical suspicion of acral lentiginous melanoma Clark level IV and 2.6 mm Breslow thickness. The surgical specimen was entirely processed for histological evaluation, requiring 53 slides. Tumor dermal invasion was detected in only three out of 53 glass slides as the invasiveness was not identified by clinical, dermatoscopy or macroscopy exams.Conclusion: Sectioning through the entire lesion is considered very important to determinate the appropriate stage of the disease and the correct treatment and patient follow-up.

Cotton leaf gas exchange responses to irradiance and leaf aging

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Lensometry by two-laser holography with photorefractive Bi12TiO20

Refractive and profilometric measurements of lenses were performed through holography with a photorefractive Bi12TiO20 crystal as the recording medium. Two properly aligned diode lasers emitting in the red region were employed as light sources. Both lasers were tuned in order to provide millimetric and sub-millimetric synthetic wavelengths. The surfaces of the test lens were covered by a 25-μm opaque plastic tape in order to allow the lens profilometry upon illuminating them with a collimated beam. The resulting holographic images appear covered by interference fringes corresponding to the wavefront geometry of the wave scattered by the lens. For refractive index measurement a diffusely scattering flat surface was positioned behind the uncovered lens which was also illuminated by a plane wave. The resulting contour interferogram describes the form of the wavefront after the beam traveled back and forth through the lens. The fringe quantitative evaluation was carried out through the four-stepping technique and the resulting phase map and the Branch-cut method was employed for phase unwrapping. The only non-optical procedure for lens characterization was the thickness measurement, made by a dial caliper. Exact ray tracing calculation was performed in order to establish a relation between the output wavefront geometry and the lens parameters like radii of curvature, thickness and refractive index. By quantitatively comparing the theoretical wavefront geometry with the experimental results relative uncertainties bellow 3% for refractive index and 1 % for focal length were obtained. © 2008 American Institute of Physics.

An uncommon focal epithelial hyperplasia manifestation

Focal epithelial hyperplasia is a rare, contagious disease associated with infection of the oral mucosa by human papillomavirus types 13 or 32, characterized by multiple soft papules of the same color as the adjacent normal mucosa. It mainly affects the lower lip, buccal mucosa, and tongue. The purpose of this case report was to describe a rare verrucal lesion located in the upper gingiva that was clinically and histologically consistent with focal epithelial hyperplasia.

Oral focal mucinosis: clinical case presentation with a focus on aesthetic and functional surgical resolution

Introduction: When planning excisional surgery, alterations in the oral mucosa, particularly in esthetically important areas, represent a challenge. For cases involving an exophytic lesion with a vegetative tumoral aspect, a clinician may prioritize obtaining a definitive diagnosis by histopathologic and histochemical examinations over the preservation of esthetics or maintenance of the involved tooth. Case Presentation: A painless, hard lesion with normal coloration was present in the maxillary left central incisor of a patient for at least 6 years. A biopsy was performed to preserve oral mucosa and a treatment plan was established that included endodontic retreatment and prosthetic restoration. The histopathologic diagnosis was oral focal mucinosis, an uncommon and poorly characterized type of lesion. Conclusion: A conservative biopsy of the lesion facilitated an accurate diagnosis, promoted the patient’s comfort, and achieved satisfactory esthetic results.