objective: osteoporosis is the most common metabolic disease of the bone decreasing bone mineral density (bmd) particularly in postmenopausal women. on the other hand, panoramic radiography has several applications in dentistry. it appears that by calculating some indices on panoramic radiographs, we may be able to predict the risk of osteoporosis in high-risk individuals. the present study was...

We present a preliminary study of a new phenomena associated with the Euler-Poisson equations — the so called critical threshold phenomena, where the answer to questions of global smoothness vs. finite time breakdown depends on whether the initial configuration crosses an intrinsic, O(1) critical threshold. We investigate a class of Euler-Poisson equations, ranging from one-dimensional problem ...

In this paper, we are interested in BB knots, namely knots and links whose bridge index braid equal. Supported by observations from experiments, it is conjectured that possess a special geometric/physical property (and might even be characterized it): if the knot realized (closed) springy metal wire, then equilibrium state of wire an almost planar configuration multiple (overlapping) circles. p...