Liberty’s Honors Manager, Mrs. Laura Kline: Service to Lord and Family

Meet the Manager of LU Honors\u27 Program, Mrs. Laura Kline

On sets of integers which contain no three terms in geometric progression

The problem of looking for subsets of the natural numbers which contain no 3-term arithmetic progressions has a rich history. Roth's theorem famously shows that any such subset cannot have positive upper density. In contrast, Rankin in 1960 suggested looking at subsets without three-term geometric progressions, and constructed such a subset with density about 0.719. More recently, several authors have found upper bounds for the upper density of such sets. We significantly improve upon these bounds, and demonstrate a method of constructing sets with a greater upper density than Rankin's set. This construction is optimal in the sense that our method gives a way of effectively computing the greatest possible upper density of a geometric-progression-free set. We also show that geometric progressions in Z/nZ behave more like Roth's theorem in that one cannot take any fixed positive proportion of the integers modulo a sufficiently large value of n while avoiding geometric progressions.Comment: 16 page

SPATIAL MARKET INTEGRATION: DEFINITION, THEORY, AND EVIDENCE

A point-space model of interregional trade is used to define market integration and to explore its implications for modeling spatial price relationships. This analysis indicates that spatial prices are related nonlinearly, contrary to much of the work on spatial price analysis which uses linear models. As an empirical example, corn market integration along the Mississippi River is examined during the Midwest flood of 1993. Higher transport costs during this period significantly reduced the extent of integration and thereby decreased excess demand shock transference across regions.Agribusiness,

Physiology of chimpanzees in orbit. Part 1: Scientific Report

Major achievements and accomplishments are reported for the Physiology of Chimpanzees in Orbit Program. Scientific studies relate to behavior and physiology, and engineering studies cover telemetry, behavioral training, systems tests, life support subsystems, and program plan

An Exploration of Market Pricing Efficiency During the Dairy Options Pilot Program

Marketing,

Segregation of Grain Markets: Consequences for Price Behavior

The introduction of genetically modified grain and oilseed products at the farm level and resistance for these products by consumer groups have led to segmentation in grain markets. This study explores the implications for market price behavior for a segregated soybean market for genetically modified (GM) and non-GM varieties. A stochastic dynamic simulation model of production and storage is solved, and Monte Carlo simulation procedures are used to examine price behavior between GM and non-GM soybeans. The results suggest important differences in price behavior between GM and non-GM soybeans. The results obtained in the model simulations are compared with evidence from the Tokyo Grain Exchange, where non-GM and GM soybean futures contracts have traded simultaneously since May 2000. The evidence from the Tokyo Grain Exchange contracts is largely consistent with the results of the simulation model. Price correlations between the Tokyo Grain Exchange non-GM and GM soybean contracts tended to be similar in magnitude to those found in the simulations.genetically modified organisms, soybeans, storage, Demand and Price Analysis,