950 resultados para Orthogonal polynomial


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Foram utilizados 9.374 registros semanais de produção de leite de 302 primeiras lactações de cabras da raça Alpina. A produção de leite no dia do controle foi analisada por meio de um modelo animal, unicarater, de regressão aleatória, em que as funções de covariâncias para os componentes genéticos aditivos e de ambiente permanente foram modeladas por meio das funções de Wilmink, Ali e Schaeffer e por polinômios ortogonais, em uma escala de Legendre de ordens cúbica e quíntica. Assumiu-se, ainda, variância residual homogênea durante toda a lactação e heterogênea com três e quatro classes de variância residual. Os modelos foram comparados pelo critério de informação de Akaike (AIC), pelo critério de informação Bayesiano de Schwar (BIC), pela função de verossimilhança (Ln L), pela visualização das estimativas de variâncias genéticas, de ambiente permanente, fenotípicas e residuais e pelas herdabilidades. O polinômio de Legendre de ordem quíntica, com quatro e três classes de variâncias residuais, e a função de Ali e Schaeffer, com quatro classes de variâncias residuais, foram indicados como os mais adequados pelo AIC, BIC e Ln L. Estes modelos diferiram na partição da variância fenotípica para as variâncias de ambiente permanente, genética e residual apenas no início e no final da lactação. Contudo, a função de Ali e Schaeffer resultou em estimativas negativas de correlação genética entre os controles mais distantes. O polinômio de Legendre de ordem quíntica, assumindo variância residual heterogênea, mostrou-se mais adequado para ajustar a produção de leite no dia do controle de cabras da raça Alpina.

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The objective was to determine the plasma levels of the triiodothyronine (T-3) and thyroxine (T-4), in six Ideal ewe sheeps during seasonal anoestrus, by radioimmunoassay. The blood samples were collected from the jugular vein catheter over a period of 24 hours, at 2-h intervals (12, 14, 16, IX, 20, 22, 24, OZ, 04, 06, OX, and 10 hours). II was used analysis of variance for data adjustments, and the decomposition of the collected periods in non-orthogonal polynomial. It was observed a crescent linear effect of the T-4 plasma levels, presenting lower level of 49.60+/-11.41 and higher level of 76.99+/-10.0 ng/ml, at fourth and last blood samples collection, respectively. T-3 plasma levels showed a significant cubic response during 24 hours, with the highest value of 0.94+/-0.20 ng/ml at the end of the the study. In conclusion, thyroidal hormones levels were lower in the first blood samples collection, increasing progressively during the night, reaching the highest levels at the morning period.

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Studies investigating the use of random regression models for genetic evaluation of milk production in Zebu cattle are scarce. In this study, 59,744 test-day milk yield records from 7,810 first lactations of purebred dairy Gyr (Bos indicus) and crossbred (dairy Gyr × Holstein) cows were used to compare random regression models in which additive genetic and permanent environmental effects were modeled using orthogonal Legendre polynomials or linear spline functions. Residual variances were modeled considering 1, 5, or 10 classes of days in milk. Five classes fitted the changes in residual variances over the lactation adequately and were used for model comparison. The model that fitted linear spline functions with 6 knots provided the lowest sum of residual variances across lactation. On the other hand, according to the deviance information criterion (DIC) and Bayesian information criterion (BIC), a model using third-order and fourth-order Legendre polynomials for additive genetic and permanent environmental effects, respectively, provided the best fit. However, the high rank correlation (0.998) between this model and that applying third-order Legendre polynomials for additive genetic and permanent environmental effects, indicates that, in practice, the same bulls would be selected by both models. The last model, which is less parameterized, is a parsimonious option for fitting dairy Gyr breed test-day milk yield records. © 2013 American Dairy Science Association.

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Given a strongly regular Hankel matrix, and its associated sequence of moments which defines a quasi-definite moment linear functional, we study the perturbation of a fixed moment, i.e., a perturbation of one antidiagonal of the Hankel matrix. We define a linear functional whose action results in such a perturbation and establish necessary and sufficient conditions in order to preserve the quasi-definite character. A relation between the corresponding sequences of orthogonal polynomials is obtained, as well as the asymptotic behavior of their zeros. We also study the invariance of the Laguerre-Hahn class of linear functionals under such perturbation, and determine its relation with the so-called canonical linear spectral transformations. © 2013 Elsevier Ltd. All rights reserved.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

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Pós-graduação em Matemática - IBILCE

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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

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

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Pós-graduação em Zootecnia - FCAV

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

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The main object of this thesis is the analysis and the quantization of spinning particle models which employ extended ”one dimensional supergravity” on the worldline, and their relation to the theory of higher spin fields (HS). In the first part of this work we have described the classical theory of massless spinning particles with an SO(N) extended supergravity multiplet on the worldline, in flat and more generally in maximally symmetric backgrounds. These (non)linear sigma models describe, upon quantization, the dynamics of particles with spin N/2. Then we have analyzed carefully the quantization of spinning particles with SO(N) extended supergravity on the worldline, for every N and in every dimension D. The physical sector of the Hilbert space reveals an interesting geometrical structure: the generalized higher spin curvature (HSC). We have shown, in particular, that these models of spinning particles describe a subclass of HS fields whose equations of motions are conformally invariant at the free level; in D = 4 this subclass describes all massless representations of the Poincar´e group. In the third part of this work we have considered the one-loop quantization of SO(N) spinning particle models by studying the corresponding partition function on the circle. After the gauge fixing of the supergravity multiplet, the partition function reduces to an integral over the corresponding moduli space which have been computed by using orthogonal polynomial techniques. Finally we have extend our canonical analysis, described previously for flat space, to maximally symmetric target spaces (i.e. (A)dS background). The quantization of these models produce (A)dS HSC as the physical states of the Hilbert space; we have used an iterative procedure and Pochhammer functions to solve the differential Bianchi identity in maximally symmetric spaces. Motivated by the correspondence between SO(N) spinning particle models and HS gauge theory, and by the notorious difficulty one finds in constructing an interacting theory for fields with spin greater than two, we have used these one dimensional supergravity models to study and extract informations on HS. In the last part of this work we have constructed spinning particle models with sp(2) R symmetry, coupled to Hyper K¨ahler and Quaternionic-K¨ahler (QK) backgrounds.

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The study examined the effect of xylanase supplementation on apparent metabolizable energy (AME) and hepatic vitamin E and carotenoids in broiler chickens fed wheat based diets. A total of one hundred forty four male Ross 308 chickens were used in this study. Birds were randomly assigned to 3 dietary treatments (8 cages per treatment of 6 male broilers each) for 14 days from 7 to 21 day old. The control treatment was based on wheat-soyabean meal and was either unsupplemented or supplemented with either 1000 or 2000 xylanase units per kg diet. Orthogonal polynomial contrasts were used to test linear response to dietary xylanase activity. There was a positive linear relationship (P < 0.05) between dietary AME and doses of supplementary xylanase. A linear relationship (P < 0.05) was also observed between dosage of xylanase supplementation and hepatic vitamin E concentration and retention. In conclusion, xylanase supplementation improved dietary AME and increased hepatic vitamin E concentration which may have positive effects on the antioxidative status of the birds.

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An experiment was planed to know  the possibility of negative effect on Gumboro vaccination program. This program has a possibility to cause “Sick” condition on fabrious bursal of broiler chicken. From that case, it need time spacing for subsequent vaccination program, for instance ND vaccination program.  Time spacing is very importance to broiler chicken for recovering that “Sick” condition because of Gumboro vaccination effect. The purpose of his research was to know the best time spacing between Gumboro and ND vaccination program on broiler chicken. An experimental  method was used in this research, and the material used was 216 broiler chickens. A 3x4 factorial arrangement (Gumboro vaccination as factor A and ND vaccination  as factor B) with three broiler chickens per unit and six replicates of each treatment combination was used in the  research. Variables tested of  this experiment HI ND antibody titer, body weight  of 4 weeks old, and the symptom appeared after vaccination program. Anava was used to analyze the data obtained and used orthogonal polynomial for subsequent analysis. The research  results showed that the best time spacing was eight days and there was no symptom  appeared after  Gumboro  vaccination program. There were no significantly influence of vaccination treatments on broiler chicken health and body weight. (Animal Production 3(2): 67-73 (2001) Key Words: Vaccination, symptom, antibody

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This experiment was study of the enzyme and  probiotic in drinking water mixture was affected on body weight, feed conversion and production index in broiler. This experiment was carried out using 144 broilers, started at one day old and finished at 42 days of age, divided into 4 type treatment of three different level of protein. Experimental method was based on randomized complete design with twelve treatments, if differently, followed by orthogonal  polynomial. Type 1 (unit ABC) was treated with mixture of drinking water and amylase, protease and probiotic at day 3rd through 5th, day 14th , day 21st, day 28th and 35th ;  type 2 (unit DEF) was treated at day 7th ,17th, 27th and 37th ; type 3 (unit GHI) was treated day 21th , day 28th and 35th ; type 4 (unit JKL) without treatment (control). The level of protein for group I of unit ADGJ was 19% of starter feed and 16% of finisher feed. The level of protein for group II  unit BEHK was 21 %of starter feed and 18% finisher feed. The variable used in body weight, feed conversion, production index at the 5th and 6th weeks of age. Result indicated that the body weight optimum was 1483.33 gram at the 5th weeks of age and 1868,89 gram, feed conversion 1, 826 and production index 279,31 at the 6th weeks of age. These findings were observed in the group of chicken given drinking, water amylase, protease and probiotic mixed with at day 3rd trough 5th , day 14th , day 21st , day 28th and day 35th ; The level of protein was 23% of starter feed and 21% of finisher feed. The mixture of enzyme and probiotic in drinking water was concluded to improve in body weight, feed conversion and production index of broiler. (Animal Production 3(1): 26-30 (2001)Key Words: Broiler, enzyme, probiotic,  body weight, feed conversion, production index.