Linear programming has many important practical applications, and has also given rise to a wide body of theory. See Section 38.9 for recommended sources. Here we consider the linear programming problem in the form of maximizing a linear function of d variables subject to n linear inequalities. We focus on the relationship of the problem to computational geometry, i.e., we consider the problem i...

We examined the association of vitamin D deficiency to risk of cesarean delivery using prospective data in a cohort of 1153 low income and minority gravidae. Circulating maternal 25-hydroxyvitamin D and intact parathyroid hormone were measured at entry to care 13.73 ± 5.6 weeks (mean ± SD). Intake of vitamin D and calcium was assessed at three time points during pregnancy. Using recent Institut...

The long time behaviors of current autocorrelation functions are important to understand the macroscopic properties of fluids.1), 2), 3), 4) In is known that the existence of the long-time tail in the correlation functions leads to the anomalous behaviors of the transport coefficients.5), 6) In equilibrium systems, the existence of the long-time tail t−d/2 with the time t and the spatial dimens...