We consider the positive solution of the perturbed simple pendulum problem u′′(r) + N − 1 r u′(r)− g(u(t)) + λ sinu(r) = 0, with 0 < r < R, u′(0) = u(R) = 0. To understand well the shape of the solution uλ when λ 1, we establish the leading and second terms of ‖uλ‖q (1 ≤ q < ∞) with the estimate of third term as λ → ∞. We also obtain the asymptotic formula for uλ(R) as λ→∞.

Svrha punjenja korijenskog kanala je trodimenzionalna obturacija endodontskog prostora. Tehnika hladne lateralne kondenzacije najčešće je rabljena tehnika (1­3), a koristi se kao standard za usporedbu u odnosu prema drugim tehnikama punjenja. No, u slučaju interne resorpcije ili engl.: ribbon shape kanala, hladnom lateralnom kondenzacijom nije moguće postići dobru adaptaciju punjenja u koriIntr...

using cross-provinces and panel regressions, this paper investigates the interrelationship between gender equality and fertility in iran for the period 2007-2012. the article attempts to explain the low fertility rate in iran by distinguishing between two types of gender equity, i.e. gender equity in individual-oriented institutions and gender equity in family-oriented institutions. for this pu...

the mechanism of flow and sediment transport in channel bend is much complex. because of secondary current, the sediment moves away from outer bank toward inner bank and therefore outer bank of the bend is one of best positions for lateral diversion. in this paper, the mechanism of sediment transport was simulated with ssiim software in the u shape channel with lateral intake. in order to verif...

This paper investigates the relationship between economic development and female labor force participation in the Middle East and North Africa (MENA). Using a panel data set of 20 countries in the region for the period of 1990-2012, I develop an econometric model that tests the U-shape hypothesis. This study builds upon previous literature examining the U-shape hypothesis in time series studies...

We derive the limit shape of Young diagrams, associated with growing integer partitions, with respect to multiplicative probability measures underpinned by the generating functions of the form F(z) = ∞l=1F0(zl) (which entails equal weighting among possible parts l ∈ N). Under mild technical assumptions on the function H0(u) = ln(F0(u)), we show that the limit shape ω∗(x) exists and is given by ...

This paper deals with an inverse problem of determining the shape and location of inhomogeneity D in an elliptic equation with a Neumann boundary condition ∂u ∂ν = g on ∂Ω −∆u(x) + pχD(x)u(x) = 0, x ∈ Ω, where D ⊂ Ω and χD is the characteristic function of a subdomain D. We prove the global uniqueness in this inverse problem by a single measurement of Dirichlet data u on ∂Ω.

Researchers have shown increasing interest in characterizing the shape of response time (RT) distributions, rather than addressing only a measure of the distribution’s central tendency, such as the mean. Ratcliff (1979) demonstrated that moment-based estimators, such as skew and kurtosis, are not suitable for characterizing the shape of empirical distributions because they suffer from problems ...