Before my arrival in India, I had heard of the existence of certain boils and sores in many Eastern cities, which having once been places with encrmous populations and all the requirements of wealth and luxury?well drained?well watered?and adorned with numerous trees and gardens?had in the process of centuries become, for the most part, desert wastes?their canals and water-courses choked up, an...

Some recent studies have investigated the scale and scope of a remarkable series of late classic prehistoric (est. 1350 CE) water management structures found in Arizona’s upper Gila Valley. These canal systems are characterized by their being literally "hung" on the edges of steep sided, gently sloping mesas formed from remnant Quaternary age bajadas. The mesas today will appear characteristica...

The Mariner 6 and 7 pictures have provided significant clues to the nature of the light and dark markings on Mars, but, do not yet provide an adequate foundation for any complete explanation of the phenomena. They display detail never before seen or photographed and demonstrate that there is no network of dark lines (i.e. canals) on the planet. A variety of shapes and of boundaries between majo...

prepared when shaping files have a reproducible and sufficiently-sized pathway to follow. The secret to shaping success is glide path management (GPM), which may be thought of as procedures directed toward "securing" canals. Any portion of any canal is termed secured when a small-sized flexible hand file can reproducibly slip, slide, and glide through a catheterized canal.1 Similar to a cardiac...

AIM To compare the shaping ability of Mtwo instruments with K3 and RaCe instruments. Part 1 of this two-part report describes the efficacy of these nickel-titanium instruments in simulated curved root canals. METHODOLOGY Simulated canals with 28 degree and 35 degree curves in resin blocks were prepared with Mtwo instruments using a single length technique and with K3 and RaCe instruments usin...

Ring canals connecting Drosophila germline, follicle and imaginal disc cells provide direct contact of cytoplasm between cells. To date, little is known about the formation, structure, or function of the somatic ring canals present in follicle and imaginal disc cells. Here, we show by confocal and electron microscopy that Pavarotti kinesin-like protein and Visgun are stable components of somati...

For integers $$0 < r \le t$$ , let the function $$D_{r,t}(n)$$ denote number of parts among all partitions n into distinct that are congruent to modulo t. We prove asymptotic formula $$\begin{aligned} D_{r,t}(n) \sim \dfrac{3^{\frac{1}{4}} e^{\pi \sqrt{\frac{n}{3}}}}{2\pi t n^{\frac{1}{4}}} \left( \log (2) + \dfrac{\sqrt{3} (2)}{8\pi } - \dfrac{\pi }{4\sqrt{3}} \dfrac{t}{2} \right) n^{- \frac{1...