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The Bishop-Phelps-Bollobas point property
Dantas, S.,Kim, S.K.,Lee, H.J. Academic Press 2016 Journal of mathematical analysis and applications Vol.444 No.2
<P>In this article, we study a version of the Bishop-Phelps-Bollobas property. We investigate a pair of Banach spaces (X, Y) such that every operator from X into Y is approximated by operators which attain their norm at the same point where the original operator almost attains its norm. In this case, we say that such a pair has the Bishop-Phelps-Bollobas point property (BPBpp). We characterize uniform smoothness in terms of BPBpp and we give some examples of pairs (X, Y) which have and fail this property. Some stability results are obtained about l(1) and l(infinity) sums of Banach spaces and we also study this property for bilinear mappings. (C) 2016 Elsevier Inc. All rights reserved.</P>
Local Bishop–Phelps–Bollobás properties
Dantas, Sheldon,Kim, Sun Kwang,Lee, Han Ju,Mazzitelli, Martin Elsevier 2018 Journal of mathematical analysis and applications Vol.468 No.1
<P><B>Abstract</B></P> <P>In this paper we introduce some local versions of Bishop–Phelps–Bollobás type property for operators. That is, the function <I>η</I> which appears in their definitions depends not only on a given ε > 0 , but also on either a fixed norm-one operator <I>T</I> or a fixed norm-one vector <I>x</I>. We investigate those properties and show differences between local and uniform versions.</P>
Dantas, Raquel Venancio Fernandes,Sarmento, Hugo Ramalho,Duarte, Rosangela Marques,Meireles Monte Raso, Sonia Saeger,de Andrade, Ana Karina Maciel,Dos Anjos-Pontual, Maria Luiza Korean Academy of Oral and Maxillofacial Radiology 2013 Imaging Science in Dentistry Vol.43 No.3
Purpose: This study was performed to evaluate and compare the radiopacity of dentin, enamel, and 8 restorative composites on conventional radiograph and digital images with different resolutions. Materials and Methods: Specimens were fabricated from 8 materials and human molars were longitudinally sectioned 1.0 mm thick to include both enamel and dentin. The specimens and tooth sections were imaged by conventional radiograph using #4 sized intraoral film and digital images were taken in high speed and high resolution modes using a phosphor storage plate. Densitometric evaluation of the enamel, dentin, restorative materials, a lead sheet, and an aluminum step wedge was performed on the radiographic images. For the evaluation, the Al equivalent (mm) for each material was calculated. The data were analyzed using one-way ANOVA and Tukey's test (p<0.05), considering the material factor and then the radiographic method factor, individually. Results: The high speed mode allowed the highest radiopacity, while the high resolution mode generated the lowest values. Furthermore, the high resolution mode was the most efficient method for radiographic differentiation between restorative composites and dentin. The conventional radiograph was the most effective in enabling differentiation between enamel and composites. The high speed mode was the least effective in enabling radiographic differentiation between the dental tissues and restorative composites. Conclusion: The high speed mode of digital imaging was not effective for differentiation between enamel and composites. This made it less effective than the high resolution mode and conventional radiographs. All of the composites evaluated showed radiopacity values that fit the ISO 4049 recommendations.
On the Bishop-Phelps-Bollobas theorem for multilinear mappings
Dantas, S.,Garcia, D.,Kim, S.K.,Lee, H.J.,Maestre, M. North Holland [etc.] 2017 Linear algebra and its applications Vol.532 No.-
<P>We study the Bishop-Phelps-Bollobas property and the Bishop-Phelps-Bollobas property for numerical radius. Our main aim is to extend some known results about norm or numerical radius attaining operators to multilinear and polynomial cases. We characterize the pair (l(1)(X), Y) to have the BPBp for bilinear forms and prove that on L-1(mu) the numerical radius and the norm of a multilinear mapping are the same. We also show that L-1(mu) fails the BPBp-nu for multilinear mappings although L-1(mu) satisfies it in the operator case for every measure mu. (c) 2017 Elsevier Inc. All rights reserved.</P>
Ferreira Alysson Dantas,Ferreira Suzana Dantas,Rodrigues de Farias Neto Severino 한국화학공학회 2023 Korean Journal of Chemical Engineering Vol.40 No.12
Pyrolysis has been one of the technologies used to convert biomass into biofuels. Therefore, mathematical models that can represent its phenomena are of fundamental importance in understanding the reaction progression and optimizing the process. In this sense, this study compared the results obtained from the lumped-capacitance thermal model proposed in this work with the thermal discretization model that considers thermal conductivity as a function of temperature. Then, the effect of operational parameters such as temperature, gas velocity, and biomass particle diameter, was compared on the reaction conversion rate. To describe the behavior and interaction between the phases, we utilized an Eulerian-Lagrangian CFD modeling approach, solving the continuity, momentum, energy, species, and turbulence equations using OpenFOAM. A factorial design of the type 2k was used to manipulate the model’s input parameters, with biomass conversion as the response variable. The numerical results of biomass conversion from the lumped-capacitance model showed good agreement with the data reported in the literature for the discretized model. However, we observed a difference of 9.13% in the particle mass behavior and 7.63% in the particle residence time. The design of experiments (DoE) enabled us to determine the impact of individual parameters and their interactions on the pyrolysis conversion rate with temperature identified as the most sensitive parameter. Therefore, despite the observed errors when comparing the two models, the lumped-capacitance model accurately represented the reaction yields and proved to be suitable for simulations involving a large number of particles, facilitating optimization studies.
Palmieri, Adriana Dantas,Oliveira, Ronaldo Lopes,Ribeiro, Claudio Vaz Di Mambro,Ribeiro, Marinaldo Divino,Ribeiro, Rebeca Dantas Xavier,Leao, Andre Gustavo,Agy, Mariza Sufiana Faharodine Aly,Ribeiro, Asian Australasian Association of Animal Productio 2012 Animal Bioscience Vol.25 No.1
The present study was conducted to determine the best level of substitution of soybean meal by sunflower cake in diets for kids through the evaluation of quantitative carcass traits. Thirty-two Boer kids X 1/2 NDB (no defined breed), males, non-castrated, with 4 months of age and initial body weight of $15{\pm}3.2$ kg, were randomly assigned to individual pens. The treatments contained four substitution levels of soybean meal by sunflower cake (0, 33, 66 and 100% DM). At the end of the experimental period, the animals were slaughtered. There was no influence of the treatments on any of the mean values of the evaluated measures (p>0.05): 21.78 kg (body weight at slaughter), 8.65 kg (hot carcass weight), 8.59 kg (cold carcass weight), 40.27% (hot carcass yield), 39.20% (cold carcass yield), 7.73 $cm^2$ (rib eye area), 46.74 cm (carcass outer length), 45.68 cm (carcass internal length), 36.92 cm (leg length), 26.04 cm (leg perimeter), 48.66 cm (hind perimeter), 58.62 cm (thoracic perimeter), 0.20 (carcass compactness index), 68.48% (total muscle of the leg), 2.79% (total leg fat), 55.19% (subcutaneous leg fat), 28.82% (total bone), 81.66 g (femur weight), 14.88 cm (femur length), 0.38 (leg muscularity index), 2.53 (muscle:bone ratio) and 33.42 (muscle:fat ratio). The substitution of soybean meal by sunflower cake may be recommended up to a level of 100% without alterations to quantitative carcass traits.
Francisco Claudio Dantas Mota,Duvaldo Eurides,Patricia Maria Coletto Freitas,Marcelo Emilio Beletti,Michelle Rodriques Goulart,Livia Maria Ferreira Cunha,Luiz Antonio Franco da Silva,Maria Clorinda So 대한수의학회 2004 Journal of Veterinary Science Vol.5 No.3
The aim of this study was to evaluate the cicatricial repair of perforating cornea in rabbits, by using the Nbutyl cyanoacrylate adhesive compared to the 910- polyglactine thread suture through macroscopic and histological assays. Corneas from 18 adult rabbits were perforated and subsequently occluded with N-butyl cyanoacrylate synthetic adhesive (right cornea) or by separated single points using the 910-polyglactine thread (left cornea). The rabbits were divided into groups containing three animals per group. Examination after 7, 15, and 30 days post-operative showed that both the synthetic adhesive and the suture were efficient in the occlusion of the surgical wounds, thus stabilizing the intra-ocular content. The N-butyl cyanoacrylate adhesive was shown to be superior to the 910-polyglactine suture thread with regards to the evolution and the organization of the healing process.
Fabiana América Silva Dantas de Souza,Amanda Emmanuelle Sales,Pablo Eugênio Costa e Silva,Raquel Pedrosa Bezerra,Germana Michelle de Medeiros e Silva,Janete Magali de Araújo,Galba Maria de Campos Taka 한국고분자학회 2016 Macromolecular Research Vol.24 No.7
The capacity of fibrinolytic enzymes to degrade blood clots makes them of high relevance in medicine and in the pharmaceutical industry. In this work, forty-three microorganisms of the genus Bacillus were evaluated for their potential to produce fibrinolytic proteases. Thirty bacteria were confirmed as producers of fibrinolytic enzymes, the best results obtained for the strain Bacillus amyloliquefaciens UFPEDA 485. The optimization of the enzyme production conditions was done by a central composite design (CCD) star 23 that allowed to define the optimal conditions for soybean flour and glucose concentrations and agitation rate. The highest fibrinolytic activity (FA) of 813 U mL-1 and a degradation of blood clot in vitro of 62% were obtained in a medium with 2% (w/v) of soybean flour and 1% (w/v) glucose at 200 rpm after 48 h of cultivation, at pH 7.2 and 37 °C. The obtained fibrinolytic enzyme was characterized biochemically. Fibrinolytic activity was inhibited by PMSF (fluoride methylphenylsulfonyl - C7H7FO2S) 91.52% and EDTA (ethylenediaminetetraacetic acid - C10H16N2O8) 89.4%, confirming to be a serine- metallo protease. The optimum pH and temperature were 7.0 and 37 oC, respectively, and the enzyme was stable for 12 h. The fibrinolytic activity at physiological conditions of this enzyme produced by Bacillus amyloliquefaciens UFPEDA 485, as well as its long term stability, demonstrate that it has suitable characteristics for human and veterinary applications, and promises to be a powerful drug for the treatment of vascular diseases.
T.N.C. Dantas,T.J.O. Cabral,A.A. Dantas Neto,M.C.P.A. Moura 한국공업화학회 2020 Journal of Industrial and Engineering Chemistry Vol.81 No.-
This work seeks to optimize the process of molecular distillation of patchouli oil to obtain patchoulol richfractions, using response surface methodology (RSM) and artificial neural network (ANN). Optimalconditions obtained by the central composite planning were evaporation temperature of 85 C,condenser temperature of 10 C, and agitation speed of 600 RPM. The conditions above generated aconcentration of 62.344% of patchoulol in the residue, reaching a recovery of 74.22%. Results obtained bythe ANN demonstrated a good predictive capacity, and can be used in conjunction with the RSM for themodeling of the patchoulol enrichment process.