Carriage Rides and Excursions: 1868-1877

Letters describing carriage rides and train excursions ca1870 in western NY.https://digitalcommons.brockport.edu/local_books/1016/thumbnail.jp

Gorenstein rings through face rings of manifolds

The face ring of a homology manifold (without boundary) modulo a generic system of parameters is studied. Its socle is computed and it is verified that a particular quotient of this ring is Gorenstein. This fact is used to prove that the sphere $g$-conjecture implies all enumerative consequences of its far reaching generalization (due to Kalai) to manifolds. A special case of Kalai's manifold $g$-conjecture is established for homology manifolds that have a codimension-two face whose link contains many vertices

Book Reviews

Reviews of the following books: A Good and Wise Measure: The Search for the American-Canadian Boundary, 1783-1842, by Francis M. Carroll; Mayflower Hill: A History of Colby College, by Earl H. Smith; Sea Struck, by W.H. Bunting; and Imperial Maine and Hawai’i: Interpretive Essays in the History of Nineteenth- Century American Expansion, by Paul T. Burli

Teaching International Students in their Home Country: Challenges and Approaches

The American College of Management and Technology was established in Dubrovnik, Croatia in 1995 as a two-year program in hotel and travel leading to the AAS degree. The Croatian government wanted to develop their long coastline and historical cities to attract Western tourists, and sought an American University to educate the Croatians. A BS program was first offered in 1997. The cultural and physical challenges of teaching students in their home country are described, with emphasis on the challenges of teaching students for whom a culture of ‘helping” each other is the normal pattern. The challenge is to create and encourage situations where helping is a positive (as on projects) and not a negative (as on exams). Classes are large (four sections of 40 – 50 students each), classrooms are small, and facilities are limited or shared with another school. In addition, since many RIT faculty teach their classes partially or completely on line, methods of encouraging communication and learning are described

Concentration Gradient, Diffusion, and Flow Through Open Porous Medium Near Percolation Threshold via Computer Simulations

The interacting lattice gas model is used to simulate fluid flow through an open percolating porous medium with the fluid entering at the source-end and leaving from the opposite end. The shape of the steady-state concentration profile and therefore the gradient field depends on the is found to scale with the porosity according to porosity p. The root mean square (rms) displacements of fluid and its constituents (tracers) show a drift power-law behavior, in the asymptotic regime. The flux current density is found to scale with the porosity according to an exponent near 1.7.Comment: 8 figure

Book Reviews

Reviews of the following books: The Lobster Coast: Rebels, Rusticators, and the Struggle for Forgotten Frontier by Colin Woodard; Writing on Stone: Scenes from a Maine Island Life by Christina Marsden Gillis; photographs by Peter Ralston and Forward by Philip Conkling; Owascoag, Black Poynt, Mayne: History of Black Point (Scarborough) Maine, ca. 1600-1800: A Narrative by Patricia Bowden Corey; Continental Liar from the State of Maine: James G. Blaine by Neil Rolde; No Flies on Bill : The Story of an Uncontrollable Old Woman, My Grandmother, Ethel Billie Gammon by Darcy Wakefield; An Upriver Passamaquoddy by Allan J. Sockabasin; Rug Hooking in Maine, 1838 - 1940 by Mildred Cole Peladea

Cluster Analysis of the Ising Model and Universal Finite-Size Scaling

The recent progress in the study of finite-size scaling (FSS) properties of the Ising model is briefly reviewed. We calculate the universal FSS functions for the Binder parameter $g$ and the magnetization distribution function $p(m)$ for the Ising model on $L_1 \times L_2$ two-dimensional lattices with tilted boundary conditions. We show that the FSS functions are universal for fixed sets of the aspect ratio $L_1/L_2$ and the tilt parameter. We also study the percolating properties of the Ising model, giving attention to the effects of the aspect ratio of finite systems. We elucidate the origin of the complex structure of $p(m)$ for the system with large aspect ratio by the multiple-percolating-cluster argument.Comment: 11 pages including 6 eps figures, elsart.sty, to appear in Physica