A search for chaos in the optical light curve of a blazar: W2R 1926+42

Aims. In this work we search for the signatures of low-dimensional chaos in the temporal behavior of the Kepler-field blazar W2R 1946+42. Methods. We use a publicly available, similar to 160 000-point-long and mostly equally spaced light curve of W2R 1946+42. We apply the correlation integral method to both real datasets and phase randomized surrogates. Results. We are not able to confirm the presence of low-dimensional chaos in the light curve. This result, however, still leads to some important implications for blazar emission mechanisms, which are discussed.

Complex potentials and singular integral equation for curve crack problem in antiplane elasticity

Four types of the fundamental complex potential in antiplane elasticity are introduced: (a) a point dislocation, (b) a concentrated force, (c) a dislocation doublet and (d) a concentrated force doublet. It is proven that if the axis of the concentrated force doublet is perpendicular to the direction of the dislocation doublet, the relevant complex potentials are equivalent. Using the obtained complex potentials, a singular integral equation for the curve crack problem is introduced. Some particular features of the obtained singular integral equation are discussed, and numerical solutions and examples are given.

Numerical estimate of the stability curve for the flow past a rotating cylinder

It is demonstrated that the primary instability of the wake of a two-dimensional circular cylinder rotating with constant angular velocity can be qualitatively well described by the Landau equation. The coefficients of the Landau equation are determined by means of numerical simulations for the Navier-Stokes equations. The critical Reynolds numbers, which depend on the angular velocity of the cylinder, are evaluated correctly by linear regression. (C) 2004 American Institute of Physics.

Explosive Hyperinflation, Inflation Tax Laffer Curve and Modelling the use of Money

This paper analyzes the existence of an inflation tax Laffer curve (ITLC) in the context of two standard optimizing monetary models: a cash-in-advance model and a money in the utility function model. Agents’ preferences are characterized in the two models by a constant relative risk aversion utility function. Explosive hyperinflation rules out the presence of an ITLC. In the context of a cash-in-advance economy, this paper shows that explosive hyperinflation is feasible and thus an ITLC is ruled out whenever the relative risk aversion parameter is greater than one. In the context of an optimizing model with money in the utility function, this paper firstly shows that an ITLC is ruled out. Moreover, it is shown that explosive hyperinflations are more likely when the transactions role of money is more important. However, hyperinflationary paths are not feasible in this context unless certain restrictions are imposed.

Is there a Phillips Curve in the US and the EU15 Countries? An empirical investigation

This paper studies the comovement between output and inflation in the EU15 countries. Following den Haan (2000), I use the correlations of VAR forecast errors at different horizons in order to analyze the output-inflation relationship. The empirical results show that eight countries display a significant positive comovement between output and inflation. Moreover, the empirical evidence suggests that a Phillips curve phenomenom is more likely to be detected in countries where inflation is more stable.

Randomness-efficient curve sampling

Curve samplers are sampling algorithms that proceed by viewing the domain as a vector space over a finite field, and randomly picking a low-degree curve in it as the sample. Curve samplers exhibit a nice property besides the sampling property: the restriction of low-degree polynomials over the domain to the sampled curve is still low-degree. This property is often used in combination with the sampling property and has found many applications, including PCP constructions, local decoding of codes, and algebraic PRG constructions.

The randomness complexity of curve samplers is a crucial parameter for its applications. It is known that (non-explicit) curve samplers using O(log N + log(1/δ)) random bits exist, where N is the domain size and δ is the confidence error. The question of explicitly constructing randomness-efficient curve samplers was first raised in [TU06] where they obtained curve samplers with near-optimal randomness complexity.

In this thesis, we present an explicit construction of low-degree curve samplers with optimal randomness complexity (up to a constant factor) that sample curves of degree (m log_q(1/δ))^O(1) in F_q^m. Our construction is a delicate combination of several components, including extractor machinery, limited independence, iterated sampling, and list-recoverable codes.

Estimation of the growth curve parameters in Macrobrachium rosenbergii

Growth is one of the most important characteristics of cultured species. The objective of this study was to determine the fitness of linear, log linear, polynomial, exponential and Logistic functions to the growth curves of Macrobrachium rosenbergii obtained by using weekly records of live weight, total length, head length, claw length, and last segment length from 20 to 192 days of age. The models were evaluated according to the coefficient of determination (R2), and error sum off square (ESS) and helps in formulating breeders in selective breeding programs. Twenty full-sib families consisting 400 PLs each were stocked in 20 different hapas and reared till 8 weeks after which a total of 1200 animals were transferred to earthen ponds and reared up to 192 days. The R2 values of the models ranged from 56 – 96 in case of overall body weight with logistic model being the highest. The R2 value for total length ranged from 62 to 90 with logistic model being the highest. In case of head length, the R2 value ranged between 55 and 95 with logistic model being the highest. The R2 value for claw length ranged from 44 to 94 with logistic model being the highest. For last segment length, R2 value ranged from 55 – 80 with polynomial model being the highest. However, the log linear model registered low ESS value followed by linear model for overall body weight while exponential model showed low ESS value followed by log linear model in case of head length. For total length the low ESS value was given by log linear model followed by logistic model and for claw length exponential model showed low ESS value followed by log linear model. In case of last segment length, linear model showed lowest ESS value followed by log linear model. Since, the model that shows highest R2 value with low ESS value is generally considered as the best fit model. Among the five models tested, logistic model, log linear model and linear models were found to be the best models for overall body weight, total length and head length respectively. For claw length and last segment length, log linear model was found to be the best model. These models can be used to predict growth rates in M. rosenbergii. However, further studies need to be conducted with more growth traits taken into consideration

The von Bertalanffy growth curve: when a good fit is not good enough

The von Bertalanffy growth function is used for length based analysis of growth and mortality patterns for management of fisheries. However, certain fish have growth patterns that the VBGF may not be able to describe adequately.e.g. the Acanthurus lineatus in Samoa. In such cases a two phase VBGF may be a useful approach.

Dieta hiperlipídica materna, tecido adiposo, fígado, metabolismo de carboidratos e sinalização central de leptina na prole de camundongos C57BL/6

O consumo materno de dieta hiperlipídica saturada durante a gestação e lactação favorece o desenvolvimento obesidade e anormalidades metabólicas na prole. Este trabalho teve como objetivo testar a hipótese de que a prole proveniente de mães alimentadas com dieta hiperlipídica durante a gestação e lactação desenvolve obesidade e anormalidades metabólicas e de que essas alterações estão associadas a resistência central a leptina. As ratas grávidas da linhagem C57BL/6 (n=20) foram alimentadas com dieta standard chow (SC; 19% de lipídeos) ou dieta hiperlipídica (HF; 49% de lipídeos) durante todo período de gestação e lactação. Após o desmame, a prole de machos foi dividida em quatro grupos experimentais, de acordo com a dieta das mães e da prole: SC(mães)/SC(prole), SC/HF, HF/SC e HF/HF (n=12/gp). As características metabólicas foram avaliadas pela curva de ganho de peso; medida da pressão arterial; glicose de jejum, área sob a curva no teste oral de tolerância a glicose; concentrações de triglicerídeos hepáticos e estimativa da esteatose hepática; análise plasmática de insulina e leptina e; distribuição e análise morfológica do tecido adiposo. Para analisar a sensibilidade a leptina, os quatro grupos originais foram subdivididos em dois grupos cada (veículo ou leptina-5g) para verificar a resposta alimentar (g) após o tratamento agudo intracerebroventricular (ICV) e a sinalização hipotalâmica de leptina. A dieta HF durante o período pós-desmame (grupo SC/HF), durante gestação e lactação (grupo HF/SC), ou ambos os períodos (grupo HF/HF), promoveu aumento da massa corporal. No que concerne as alterações hepáticas e a ação da insulina, a dieta HF durante o período perinatal favoreceu 25% de esteatose hepática, hiperinsulinemia e hiperleptinemia, enquanto os demais grupos experimentais SC/HF e HF/HF, demonstraram um padrão mais exacerbado. A avaliação da distribuição e morfometria do tecido adiposo demonstra o importante papel da dieta HF perinatal em amplificar a habilidade de estocar gordura visceral na prole. Considerando a ação central da leptina nos grupos tratados, a resposta alimentar mostrou-se atenuada em SC/HF, indicando o efeito determinante da dieta pós-desmame sobre a ação da leptina nesse modelo. Os resultados indicam fortemente que a dieta HF materna afeta a saúde da prole adulta. Especificamente, a prole programada apresenta esteatose hepática, hipertrofia de adipócitos, aumento de gordura visceral, hiperleptinemia e resistência a insulina. Esse fenótipo não está associado a resistência central a leptina na prole aos três meses de idade.