New Section and Focus Group Honors for 2015

Undergraduate Honors Projects – 2015 - 2016

If a vertical line is surrounded by a tilted frame, it is typically perceived as being tilted in the opposite direction. This rod-and-frame illusion is thought to be driven by two distinct mechanisms. Large frames cause a distortion of the egocentric reference frame, with perceived vertical biased in the direction of the frame’s tilt (i.e., a visuovestibular effect). Small frames are thought to...

Undergraduate Honors Projects – 2014 - 2015

Holding representations of a range of elements (i.e., numbers, dates, and arbitrary sequences) is known to produce response interference effects, where response execution is influenced by the spatial layout of these representations. One illustration of this is the ordinal position effect, where items at the beginning of a sequence held in working memory facilitate faster left-sided responses, w...

Spring 2015 Meeting of the APS New England Section

Heart Rhythm Monitoring Strategies for Cryptogenic Stroke: 2015 Diagnostics and Monitoring Stroke Focus Group Report

Gregory W. Albers, MD; Richard A. Bernstein, MD, PhD; Johannes Brachmann, MD; John Camm, MD; J. Donald Easton, MD; Peter Fromm, MPH, RN; Shinya Goto, MD, PhD; Christopher B. Granger, MD; Stefan H. Hohnloser, MD; Elaine Hylek, MD; Amir K. Jaffer, MD, MBA; Derk W. Krieger, MD, PhD; Rod Passman, MD, MSCE; Jesse M. Pines, MD, MBA, MSCE; Shelby D. Reed, PhD; Peter M. Rothwell, MD, PhD; Peter R. Kowe...

UTK – M 447 – Honors Advanced Calculus I – Fall 2015

Solution: (a) We show: (∗) If 0 < x < y, then x2 < y2. Indeed, we may multiply the inequality x < y with the positive quantity x and get x2 < xy. We also may multiply x < y with the positive quantity y and get xy < y2. By transitivity, we obtain x2 < y2. From (∗), uniqueness follows: Assuming x2 = y2 = a and x, y > 0, we can rule out x < y (which would imply x2 < y2) and y < x (which would impl...