Darboux invariants for planar polynomial differential systems having an invariant conic

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Limit cycles of cubic polynomial differential systems with rational first integrals of degree 2

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

A new transmission model in cognitive radio based on cyclic generalized polynomial codes for bandwidth reduction

The frequency spectrums are inefficiently utilized and cognitive radio has been proposed for full utilization of these spectrums. The central idea of cognitive radio is to allow the secondary user to use the spectrum concurrently with the primary user with the compulsion of minimum interference. However, designing a model with minimum interference is a challenging task. In this paper, a transmission model based on cyclic generalized polynomial codes discussed in [2] and [15], is proposed for the improvement in utilization of spectrum. The proposed model assures a non interference data transmission of the primary and secondary users. Furthermore, analytical results are presented to show that the proposed model utilizes spectrum more efficiently as compared to traditional models.

Normal Forms for Polynomial Differential Systems in R-3 Having an Invariant Quadric and a Darboux Invariant

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Learning kernels for support vector machines with polynomial powers of sigmoid

In the pattern recognition research field, Support Vector Machines (SVM) have been an effectiveness tool for classification purposes, being successively employed in many applications. The SVM input data is transformed into a high dimensional space using some kernel functions where linear separation is more likely. However, there are some computational drawbacks associated to SVM. One of them is the computational burden required to find out the more adequate parameters for the kernel mapping considering each non-linearly separable input data space, which reflects the performance of SVM. This paper introduces the Polynomial Powers of Sigmoid for SVM kernel mapping, and it shows their advantages over well-known kernel functions using real and synthetic datasets.

Estimates of covariance functions for growth from birth to 630 days of age in Nelore cattle

Weight records of Brazilian Nelore cattle, from birth to 630 d of age, recorded every 3 mo, were analyzed using random regression models. Independent variables were Legendre polynomials of age at recording. The model of analysis included contemporary groups as fixed effects and age of dam as a linear and quadratic covariable. Mean trends were modeled through a cubic regression on orthogonal polynomials of age. Up to four sets of random regression coefficients were fitted for animals' direct and maternal, additive genetic, and permanent environmental effects. Changes in measurement error variances with age were modeled through a variance function. Orders of polynomial fit from three to six were considered, resulting in up to 77 parameters to be estimated. Models fitting random regressions modeled the pattern of variances in the data adequately, with estimates similar to those from corresponding univariate analysis. Direct heritability estimates decreased after birth and tended to be lowest at ages at which maternal effect estimates tended to be highest. Maternal heritability estimates increased after birth to a peak around 110 to 120 d of age and decreased thereafter. Additive genetic direct correlation estimates between weights at standard ages (birth, weaning, yearling, and final weight) were moderate to high and maternal genetic and environmental correlations were consistently high.

Mentol como anestésico para dourado (Salminus brasiliensis)

Different levels of menthol as an anesthetic for dourado (Salminus brasiliensis) were evaluated in this study. Fish (n=32) with average weight of 194.13 +/- 9.06 g and total mean length of 25.30 +/- 0.90 cm were separated in four groups composed of 8 individuals. Each group was submitted to different menthol concentrations: 60, 90, 120 and 150 mg L(-1). Total induction time was analyzed by polynomial regression and other parameters by Tukey's test. All experimental fish exposed to different concentrations of menthol reached deep anesthesia stage without mortality. It was observed a negative linear effect (P<0.05) for total induction time. The longest recovery time (172.60 s) was observed for dourado treated with 120 mg. L(-1), which differed (P<0.05) from the 90 mg.L(-1) treatment (122.03 s). All levels evaluated in this study were safe and effective. A concentration of 60 mg L(-1) for dourado is suggested based on lower cost and adequate induction and recovery time responses.

Interação da deficiência hídrica e da toxicidade do alumínio em guandu cultivado em hidroponia

O objetivo deste trabalho foi avaliar o efeito da interação da deficiência hídrica e da toxicidade do alumínio no crescimento inicial e teores de prolina livre em duas cultivares de guandu, IAPAR 43-Aratã e IAC Fava Larga, cultivadas em hidroponia. As plântulas foram submetidas aos estresses em solução nutritiva (pH 3,8), nos potenciais osmóticos de 0, -0,004, -0,006, -0,008 e -0,010 MPa, com 0, 0,25, 0,50, 0,75 e 1 mmol dm-3 de Al3+. O experimento foi conduzido em sala de crescimento, sob luminária com irradiância média de 190 mmol m-2 s-1 , fotoperíodo de 12 horas e temperatura de 25+1ºC. O delineamento experimental foi inteiramente casualizado, em arranjo fatorial 2x5x5 (duas cultivares de guandu, cinco potenciais osmóticos e cinco níveis de alumínio), com quatro repetições. Os dados foram submetidos às análises de regressão polinomial, agrupamento e componentes principais. A deficiência hídrica causa redução do crescimento da parte aérea do guandu, e a toxicidade do alumínio provoca diminuição do crescimento radicular. Houve aumento nos teores de prolina livre nas duas cultivares sob deficiência hídrica, e apenas na IAC Fava Larga sob toxicidade de alumínio. Na análise multivariada, foi observada alta correlação no crescimento e no acúmulo de prolina na cultivar IAC Fava Larga, o que evidencia provável tolerância aos estresses associados.

Egg production curve fitting using nonlinear models for selected and nonselected lines of White Leghorn hens

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

Período de incubação de Guignardia citricarpa em diferentes estádios fenológicos de frutos de laranjeira 'Valência'

A mancha preta dos citros (MPC), causada pelo fungo Guignardia citricarpa, produz lesões em frutos, os quais ficam depreciados para o mercado interno e os restringem para a exportação. O grande período de suscetibilidade dos frutos cítricos, em adição ao fato de G. citricarpa causar infecções latentes, dificulta o entendimento sobre o período de incubação da doença. O objetivo do trabalho foi determinar o período de incubação da MPC inoculando frutos de laranjeira 'Valência' em diferentes estádios fenológicos. Para a inoculação foram empregadas suspensões de conídios de G. citricarpa (10³, 10(4), 10(5) e 10(6) conídios mL-1) em diferentes diâmetros dos frutos (1,5; 2,0; 2,5; 3,0; 5,0 e 7,0 cm). O período de incubação da MPC para os diferentes diâmetros dos frutos inoculados apresentou uma relação polinomial negativa. em frutos com até 3 cm de diâmetro o período de incubação médio foi superior a 200 dias, enquanto que em frutos com diâmetros superiores a 5 cm o período de incubação médio foi inferior a 84 dias. A MPC apresenta período de incubação variável dependente do estádio fenológico em que os frutos são infectados. A concentração de conídios de G. citricarpa, na infecção, não interfere no período de incubação da doença.

Morphological Aspects and Storage of Dypsis leptocheilos (Hodel) Beentje & J. Dransf. (Arecaceae) Seeds

Dypsis leptocheilos (Hodel) Beentje & J. Dransf. palms are widely used in landscaping, however there is a lack of studies about its biology, especially on the morphology of its seedling disseminules and the ideal seed storage time without loss of viability. The objectives of this work were to describe the morphological aspects and to study the storage effect on the germination of D. leptocheilos seeds. The experiments were performed at FCAV/UNESP, Jaboticabal Campus, São Paulo State, Brazil. In order to obtain a morphology description 100 disseminules were sowed in vermiculite. The external and internal sides of the disseminules as well as the representative phases of the germination process were sketched with the help of a light chamber attached to a stereomicroscope. Five treatments were arranged in order to study the storage effects on the seeds (four months of storage and straight after harvest), with four replicates with 25 disseminules each (seeds with attached endocarp) in a completely randomized design. The germination test was conducted over a 140 days period and noted every two days. In order to calculate the germination percentage (% G) and the Germination Speed Index (GSI), the seeds were considered germinated when the germinative button appeared. The data were submitted to a polynomial regression analysis to verify the behavior of the variables over the storage period. The D. leptocheilos seeds have rounded shape, ruminate endosperm and hard consistency. The embryo is lateral, peripheral and relatively undifferentiated, with approximately 3 mm long and conical shape. The germination percentage increased from 17% for seeds sowed straight after harvest to 73% for those stored over a three-month period. For the GSI the increase was about 0.85%. It was concluded that the germination of D. leptocheilos is of an adjacent ligulate type. Furthermore, the seeds stored for 3 months at 14 degrees C showed both higher percentage and germination speed.