Digital Commons Network^™

Drawing A Triangle On The Thurston Model Of Hyperbolic Space, Curtis D. Bennett, Blake Mellor, Patrick D. Shanahan

Mathematics Faculty Works

In looking at a common physical model of the hyperbolic plane, the authors encountered surprising difficulties in drawing a large triangle. Understanding these difficulties leads to an intriguing exploration of the geometry of the Thurston model of the hyperbolic plane. In this exploration we encounter topics ranging from combinatorics and Pick’s Theorem to differential geometry and the Gauss-Bonnet Theorem.

Effect Of A Polywell Geometry On A Cmos Photodiode Array, Paul V. Jansz, Steven Hinckley, Graham Wild

Research outputs pre 2011

The effect of a polywell geometry hybridized with a stacked gradient poly-homojunction architecture, on the response of a CMOs compatible photodiode array was simulated. Crosstalk and sensitivity improved compared to the polywell geometry alone, for both back and front illumination

Simulation Of A Hybrid Polywell And Stacked Gradient Poly-Homojunction Cmos Photodiode, Paul V. Jansz, Steven Hinckley

Research outputs pre 2011

In this paper, we have simulated the performance of a photodiode array that has multiple wells per pixel as well as a stacked-gradient poly-homojunction (StaG) geometry. The pixel response resolution was improved when the first StaG epilayer was within 2 μm of the space charge region (SCR).

Proposed Problems Of Mathematics (Vol. Ii), Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

The first book of “Problèmes avec et sans … problèmes!” was published in Morocco in 1983. I collected these problems that I published in various Romanian or foreign magazines (amongst which: “Gazeta Matematică”, magazine which formed me as problem solver, “American Mathematical Monthly”, “Crux Mathematicorum” (Canada), “Elemente der Mathematik” (Switzerland), “Gaceta Matematica” (Spain), “Nieuw voor Archief” (Holland), etc. while others are new proposed problems in this second volume.

These have been created in various periods: when I was working as mathematics professor in Romania (1984-1988), or co-operant professor in Morocco (1982-1984), or emigrant in the USA (1990-1997). I thank to …

The Hydraulic Geometry Of Narrow And Deep Channels; Evidence For Flow Optimisation And Controlled Peatland Growth, Rachel Nanson, Gerald C. Nanson, He Qing Huang

Faculty of Science - Papers (Archive)

At-a-station and bankfull hydraulic geometry analyses of peatland channels at Barrington Tops, New South Wales, Australia, reveal adjustments in self-forming channels in the absence of sediment load. Using Rhodes ternary diagram, comparisons are made with hydraulic geometry data from self-forming channels carrying bedload in alluvial settings elsewhere. Despite constraints on channel depths caused at some locations by the restricted thickness of peat, most stations have cohesive, near-vertical, well-vegetated banks, and width/depth (w/d) ratios of similar to 2 that are optimal for sediment-free flow. Because banks are strong, resist erosion and can stand nearly vertical, and depth is sometimes constrained, adjustments …

Book Review: Visual Motion Of Curves And Surfaces, Andrei Ludu

Publications

This is Dr. Ludu's review of the book Visual Motion of Curves and Surfaces by Roberto Cipolla and Peter Giblin. Published by Cambridge University Press in 2009. ISBN: 978-0-521-63251-5.

Applications Of Spoke Cavities, Jean R. Delayen

Physics Faculty Publications

The superconducting spoke cavity was introduced in the late 1980s in response to the need for superconducting structures in the mid-velocity range. Since then it has found application in many projects. Prototypes have been developed for a wide range of beam velocities. The characteristics and features of the spoke cavity are reviewed and some of their applications are presented.