In a recent paper Melman 12] derived upper bounds for the smallest eigen-value of a real symmetric Toeplitz matrix in terms of the smallest roots of rational and polynomial approximations of the secular equation f() = 0, the best of which being constructed by the (1; 2)-Pad e approximation of f. In this paper we prove that this bound is the smallest eigenvalue of the projection of the given eig...

We perform numerical simulations to study the secular orbital evolution and dynamical structure in the HD 69830 planetary system, using the best-fit orbital solutions by Lovis and coworkers. In the simulations, we show that a triplet Neptunian system is stable for at least 2 Gyr and that the stability would not be greatly influenced even if we varied the planetary masses. In addition, we employ...

Secular trends of the incidence of NCDs are especially important as they indicate changes of the risk profile of a population. The article describes a method for detecting secular trends in the incidence from a series of prevalence data without requiring costly follow-up studies or running a register. After describing the theory, the method is applied to the incidence of diabetes in Denmark.

In their article, “Conjunctures, Commodities, and Social State Marxism,” Stephen Shapiro discusses our current moment as the conjuncture of three temporalities: a secular trend centrist liberalism, Kress cycle managerial capitalism, Kondratieff waves. These can be understood by addition implied terms in Marx’s advanced discussion commodity-form through an approach that calls Marxism.

BACKGROUND Diet is an important factor in the prevention of chronic diseases. Analysis of secular trends of dietary patterns can be biased by energy under-reporting. Therefore, the objective of the present study was to analyse the impact of energy under-reporting on dietary patterns and secular trends in dietary patterns defined by cluster analysis. DESIGN AND METHODS Two cross-sectional popu...

OBJECTIVE There is little epidemiologic research on longitudinal and secular trends in weight-related health behaviors throughout the stages of adolescence. In particular, few data are available to assess secular trends in various sedentary behaviors. The objective of this research was to investigate longitudinal and secular trends in physical activity and sedentary behavior in a large, diverse...

Epidemiological measures during the first wave of coronavirus epidemic in 2020 significantly affected realization religious freedom, including services and sacraments. This paper deals with one narrower topic this area, namely, regulation access to sacrament penance response secular law. It focuses mainly on modalities allowing Catholic Church, both terms universal law particular proposals for ...