A perturbation theory for the Nonlinear Schrödinger Equation (NLSE) in 1D on a lattice was developed. The small parameter is the strength of the nonlinearity. For this purpose secular terms were removed and a probabilistic bound on small denominators was developed. It was shown that the number of terms grows exponentially with the order. The results of the perturbation theory are compared with ...

Although analytical studies on the secular motion of the irregular satellites have been published recently (Kinoshita & Nakai 1999; Yokoyama et al. 2003), these theories have not yet been satisfactorily reconciled with the results of direct numerical integrations (Carruba et al. 2002; Nesvorný et al. 2003). These discrepancies occur because in secular theories the disturbing function is general...

The problem of propagation of plane wave including body and surface waves propagating in a transversely isotropic half-space with a depth-wise axis of material symmetry is investigated in details. Using the advantage of representation of displacement fields in terms of two complete scalar potential functions, the coupled equations of motion are uncoupled and reduced to two independent equations...

Following a previous study that revealed the disobedience of Ultra-Orthodox citizens, as compared to secular citizens, of traffic lights at crosswalks, the present study examined the road habits of 995 Ultra-Orthodox and secular pedestrians in neighboring Ultra-Orthodox and secular cities. Using an observation grid designed specially for this study, the pedestrians were observed at two crosswal...

In this article, the intuitive aspects used to model mathematically God’s Biblically implied attributes are presented. The findings are fully described essentially in non-technical terms. These results counter all secular statements that claim that aspects of the Biblically described God concept are “irrational.” The results specifically show that they are rational from the viewpoint of (classi...

This paper shows that functional derivatives of the probability generating functional (PGFL) of a finite point process can be calculated using ordinary derivatives. The result is new, and it is potentially useful to the class of Bayesian multitarget tracking problems that is based on finite point process models for targets and measurements. In this class, the distribution of the Bayes posterior...

background and aims: according to different reports about the demographic characteristics of patients with acute myocardial infarction in iran, this study performed to determine the average age of morbidity and mortality from ami and its changes over time. methods: a hospital-based retrospective cohort study (historical) including all patients with acute myocardial infarction admitted to hospit...

Ronald Dworkin and Philip Kitcher recognize that traditional, religious faith—especially in Christian theistic tradition—has virtues that seem to be missing in a secular worldview. To remedy this apparent deficit, they both propose that a secular worldview can provide a satisfying foundation for a flourishing, meaningful life. Moreover, Kitcher argues that secular humanism is far more justified...