Our randomized preprocessing enables pivoting-free and orthogonalization-free solution of homogeneous linear systems of equations, which leads to significant acceleration of the known algorithms in the cases of both general and structured input matrices. E.g., in the case of Toeplitz inputs, we decrease the estimated solution time from quadratic to nearly linear, and our tests show dramatic dec...

It was believed until very recently that a near-equatorial satellite would always keep up with the planet’s equator (with oscillations in inclination, but without a secular drift). As explained in Efroimsky and Goldreich (2004), this misconception originated from a wrong interpretation of a (mathematically correct) result obtained in terms of non-osculating orbital elements. A similar analysis ...

background: the secular trend in growth is a well-documented and recurrent phenomenon in many developed and developing countries. in this study, we examined the secular trends in birth length and weight among iranian neonates. methods: this cross-sectional population-based survey was conducted between 1991 and 2011. using a two-stage stratified cluster sampling, the birth weights and heights of...

throughout the history of the islamic iran the judicial system has always been based on common law and canon law (sharī‘a). upon the formalization of shī‘ism as the official school (nadhhab) in the safavid era, the shī‘a jurisprudence was set as the basis for legal judgments; and for the execution of judicial affairs the ruler appointed officers such as ṣadr, shaykh al-islām, and other judicial...

In forensic investigation, there are difficulties in stature and gender estimation of bodies dismembered in mass destruction and criminal mutilation. An individual’s hand or foot, when recovered and brought for forensic examination, can provide valuable information about a person’s identity. Stature provides insight into various features of a population, including nutrition, health and genetics...

Some findings from these data were presented as a poster at the 6th International Symposium on Diabetes and Pregnancy conference in Salzburg, Austria in March 2011. ABSTRACT Objectives: This paper reports secular trends in diabetes in pregnancy in Victoria, Australia and examines the effect of including or excluding women with pre-existing diabetes on gestational diabetes (GDM) prevalence estim...

We develop from first principles Markovian master equations suited for studying the time evolution of a system evolving adiabatically while coupled weakly to a thermal bath. We derive two sets of equations in the adiabatic limit, one using the rotating wave (secular) approximation that results in a master equation in Lindblad form, the other without the rotating wave approximation but not in Li...

Our randomized preprocessing enables pivoting-free and orthogonalization-free solution of homogeneous linear systems of equations, which leads to significant acceleration of the known algorithms in the cases of both general and structured input matrices. E.g., in the case of Toeplitz inputs, we decrease the estimated solution time from quadratic to nearly linear, and our tests show dramatic dec...

This review starts with a discussion of the hierarchy of scales, relevant to the description of superfluids in neutron stars, which motivates a subsequent elementary exposition of the Newtonian superfluid hydrodynamics. Starting from the Euler equations for a superfluid and a normal fluid we apply the tensor virial method to obtain the virial equations of the first, second, and third order and ...

"Freethinkers," including both atheists and secular humanists, have always been a minority in American society--and not a very popular one. There are still laws in several states preventing non-theists from holding office. Just as evangelical Protestants up until one hundred years ago held a largely optimistic view of the future and the end times (known as postmillennialism), secular humanists ...