After 18 months of delays, the U.S. Food and Drug Administration announced in separate rulings that limited evidence supports labeling tomato products and green tea as reducing the risk of prostate cancer and prostate and breast cancers, respectively. However, the agency rejected much broader claims requested by the H.J. Heinz Company (for tomato products) and Fleminger Inc. (for green tea). It...

We study satellites of Legendrian knots in R and their relation to the Chekanov–Eliashberg differential graded algebra of the knot. In particular, we generalize the well-known correspondence between rulings of a Legendrian knot in R and augmentations of its DGA by showing that the DGA has finite-dimensional representations if and only if there exist certain rulings of satellites of the knot. We...

Custodial rulings are high in prevalence, yet low in standardized criteria necessary in preventing biased decisions. Because various legal decision-makers inform custodial decisions, it is crucial to examine individual difference predictors of such decisions. Indeed, research has revealed that factors related to parents involved in custodial disputes (gender, social adjustment, and social skill...

The Americans with Disabilities Act (ADA) was signed into law nearly a decade ago. The ADA is designed to protect persons with disabilities from discrimination in nearly every aspect of American life. This article focuses on a number of recent court rulings that help to clarify important components of the ADA. It is critical for health and human services professionals to be aware of these recen...

A non-linear differential equation is analyzed to determine the geodesic curves on ruled surfaces with time-like rulings inR31. When it is assumed that curvature and torsion of the base curve and components with respect to Frenet’s frame of time-like straight-line are constants, for a special integration constant, it appears that the resulting non-linear differential equation can be integrated ...

In this article, we research on the correspondences between the geometry of del Pezzo surfaces Sr and the geometry of Gosset polytopes (r−4)21. We study skew a-lines(a ≤ r), exceptional systems and rulings, and we explain their correspondences to (a− 1)-simplexes, (r − 1)-simplexes and (r − 1)-crosspolytopes in (r − 4)21. And we apply these correspondences to the monoidal transform for lines an...