266 resultados para Bernstein polynomials


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Given the importance of Guzera breeding programs for milk production in the tropics, the objective of this study was to compare alternative random regression models for estimation of genetic parameters and prediction of breeding values. Test-day milk yields records (TDR) were collected monthly, in a maximum of 10 measurements. The database included 20,524 records of first lactation from 2816 Guzera cows. TDR data were analyzed by random regression models (RRM) considering additive genetic, permanent environmental and residual effects as random and the effects of contemporary group (CG), calving age as a covariate (linear and quadratic effects) and mean lactation curve as fixed. The genetic additive and permanent environmental effects were modeled by RRM using Wilmink, All and Schaeffer and cubic B-spline functions as well as Legendre polynomials. Residual variances were considered as heterogeneous classes, grouped differently according to the model used. Multi-trait analysis using finite-dimensional models (FDM) for testday milk records (TDR) and a single-trait model for 305-days milk yields (default) using the restricted maximum likelihood method were also carried out as further comparisons. Through the statistical criteria adopted, the best RRM was the one that used the cubic B-spline function with five random regression coefficients for the genetic additive and permanent environmental effects. However, the models using the Ali and Schaeffer function or Legendre polynomials with second and fifth order for, respectively, the additive genetic and permanent environmental effects can be adopted, as little variation was observed in the genetic parameter estimates compared to those estimated by models using the B-spline function. Therefore, due to the lower complexity in the (co)variance estimations, the model using Legendre polynomials represented the best option for the genetic evaluation of the Guzera lactation records. An increase of 3.6% in the accuracy of the estimated breeding values was verified when using RRM. The ranks of animals were very close whatever the RRM for the data set used to predict breeding values. Considering P305, results indicated only small to medium difference in the animals' ranking based on breeding values predicted by the conventional model or by RRM. Therefore, the sum of all the RRM-predicted breeding values along the lactation period (RRM305) can be used as a selection criterion for 305-day milk production. (c) 2014 Elsevier B.V. All rights reserved.

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

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

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

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In this paper, we present a new construction and decoding of BCH codes over certain rings. Thus, for a nonnegative integer t, let A0 ⊂ A1 ⊂···⊂ At−1 ⊂ At be a chain of unitary commutative rings, where each Ai is constructed by the direct product of appropriate Galois rings, and its projection to the fields is K0 ⊂ K1 ⊂···⊂ Kt−1 ⊂ Kt (another chain of unitary commutative rings), where each Ki is made by the direct product of corresponding residue fields of given Galois rings. Also, A∗ i and K∗ i are the groups of units of Ai and Ki, respectively. This correspondence presents a construction technique of generator polynomials of the sequence of Bose, Chaudhuri, and Hocquenghem (BCH) codes possessing entries from A∗ i and K∗ i for each i, where 0 ≤ i ≤ t. By the construction of BCH codes, we are confined to get the best code rate and error correction capability; however, the proposed contribution offers a choice to opt a worthy BCH code concerning code rate and error correction capability. In the second phase, we extend the modified Berlekamp-Massey algorithm for the above chains of unitary commutative local rings in such a way that the error will be corrected of the sequences of codewords from the sequences of BCH codes at once. This process is not much different than the original one, but it deals a sequence of codewords from the sequence of codes over the chain of Galois rings.

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A Goppa code is described in terms of a polynomial, known as Goppa polynomial, and in contrast to cyclic codes, where it is difficult to estimate the minimum Hamming distance d from the generator polynomial. Furthermore, a Goppa code has the property that d ≥ deg(h(X))+1, where h(X) is a Goppa polynomial. In this paper, we present a decoding principle for Goppa codes constructed by generalized polynomials, which is based on modified Berlekamp-Massey algorithm.

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

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

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Pós-graduação em Engenharia Mecânica - FEIS

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Employing the method of least squares and quadratic B-spline polynomials, different statistical models were tested to identify the most appropriate to model the mean trajectories of live weight and carcass yield of Nile tilapia (Oreochromis niloticus). Data of live weight (8,758) and carcass yield (2,042) of tilapias with ages between 106 and 245 days were obtained from 72 families derived from 36 males and 72 females. The sex and tank variables were considered as classificatory and the coefficients of quadratic polynomials B-spline of two to five intervals of the same size were used as covariables. According to most fit criteria used, the models with quadratic B-spline polynomial with five intervals of the same size presented the best adjustments. The increase in number of intervals of B-spline polynomial improved the fit of the polynomials to the data. The inclusion of classificatory effects from sex, tank, the interaction of these effects and the quadratic polynomial B-spline nested in this interaction indicated that, over time, each sex, grown in different tank, presented different mean trajectory, necessitating the inclusion of nesting time in the interaction sex x tank in order to avoid the under or overestimation of breeding values of the selection candidates in breeding programs of this species.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

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Pós-graduação em Engenharia Mecânica - FEIS

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Objective Despite rising global obesity rates, the impact of obesity on gestational trophoblastic neoplasia (GTN) remains uninvestigated. This study aimed at investigating whether overweight/obesity relates to response to chemotherapy in low-risk GTN patients.Methods This nonconcurrent cohort study included 300 patients with International Federation of Gynecology and Obstetrics-defined postmolar low-risk GTN treated with a single-agent chemotherapymethotrexate or actinomycin-D (actD)between 1973 and 2012 at the New England Trophoblastic Disease Center. Chemotherapy dosing was based on actual body weight regardless of obesity status, except for 5-day courses or pulse regimens of actD. Patients were classified as overweight/obese (body mass index [BMI] 25 kg/m(2)) or non-overweight/obese (BMI <25 kg/m(2)). Information on patient characteristics and response to chemotherapy (need for second-line chemotherapy, reason for changing to an alternative chemotherapy, number of cycles, need for combination chemotherapy, and time to human chorionic gonadotropin remission) was obtained.Results Of 300 low-risk GTN patients, 81 (27%) were overweight/obese. Overweight/obese patients were older than the non-overweight/obese patients (median age: 30 vs 28 years, P = 0.004). First-line therapy using actD was more frequent in overweight/obese patients (6.2% vs 1.4%, P = 0.036). Resistance and toxicity were similar between groups. No significant difference in the number of chemotherapy cycles needed for remission or time required to achieve remission was found between groups.Conclusions No association between overweight/obesity and low-risk GTN outcomes was found. Current chemotherapy dosing using BMI seems to be appropriate for overweight/obese patients with low-risk GTN.

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Objective. To evaluate the potential effects of race on clinical characteristics, extent of disease, and response to chemotherapy in women with postmolar low-risk gestational trophoblastic neoplasia (GTN).Methods. This non-concurrent cohort study was undertaken including patients with FIGO-defined postmolar low-risk GTN treated with comparable doses and schedules of chemotherapy at the New England Trophoblastic Disease Center (NETDC) between 1973 and 2012. Racial groups investigated included whites, African American and Asians. Information on patient characteristics and response to chemotherapy (need for second line chemotherapy, reason for changing to an alternative chemotherapy, number of cycles/regimens, need for combination chemotherapy, and time to hCG remission) was obtained.Results. Of 316 women, 274 (86.7%) were white, 19 (6%) African American, and 23 (7.3%) Asian. African Americans were significantly younger than white and Asian women (p = 0.008). Disease presentation, and extent of disease, including antecedent molar histology, median time to persistence, median hCG level at persistence, rate of D&C at persistence, presence of metastatic disease, and FIGO stage and risk score were similar among races. Need for second line chemotherapy (p = 0.023), and median number of regimens (p = 0.035) were greater in Asian women than in other races.Conclusions. Low-risk GTN was more aggressive in Asian women, who were significantly more likely to need second line chemotherapy and a higher number of chemotherapy regimens to achieve complete remission than women of African American and Asian descent. Further studies involving racial differences related to clinical, biological and environmental characteristics are needed. (C) 2015 Published by Elsevier Inc.