A law of the iterated logarithm sublinear expectations

In this paper, motivated by the notion of independent identically distributed (IID) random variables under sub-linear expectations initiated by Peng, we investigate a law of the iterated logarithm for capacities. It turns out that our theorem is a natural extension of the Kolmogorov and the Hartman-Wintner laws of the iterated logarithm

Let Them Eat Cake? A Historical Analysis of FDA's Decision to Approve Aspartame

That sugar occupies a cherished role in the human diet hardly needs mention. After all, nearly 2,500 tastebuds located at the tip of the human tongue are dedicated to the pursuit of sweetness. The first recorded mention of sugar, a description of a crown of glistening sugar crystals, dates back to a sacred Hindu text from 800 B.C. Of course, the sumptuous deserts and candies which fulfill our sugar cravings come at a high caloric cost, a cost which has become less and less affordable to the growing millions who seek to watch their weight. As far back as the mid 1800's, people recognized the tension between the desire to eat delicious foods, and the often contravening desire to eat healthfully. It is not surprising, therefore, that the intersection of the dietary movement with the human sweet tooth would eventually lead to a demand for low calorie artificial sweeteners

The development of a new bioassay system to assess the ability of drugs to accelerate tooth eruption

Thesis (M.Sc.D.)--Boston University. Henry M. Goldman School of Graduate Dentistry, 1970 (Orthodontics)The purpose of this study was to design a bioassay procedure by means of which it would be possible to rapidly screen drugs to determine their ability to accelerate tooth eruption as well as their undesirable side effects. The rat maxillary 3rd molar was utilized as the assay parameter for measuring acceleration in tooth eruption. The method developed utilizes female rats (Charles River Breeding Lab), 26 days of age. Test drugs are injected twice; when the rats are 26 and 27 days of age; and the rats are sacrificed at 30 days of age. Heads are removed and fixed in 95% ethernol for 12 hours. The upper dental arches are examined under a disecting microscope (lOOX) and the extent of eruption scored. The extent of tooth eruption was determined by comparing 3rd molars to a standardized scoring chart. The scoring chart depicts eleven progressive stages in the eruption of the maxillary right and left 3rd molars. This chart also contains a number or grade for each of the eleven stages (from O, for no eruption, to 10 for full eruption). In control rats there is little or no eruption of the 3rd molars at 30 days of age. Third molar eruption was enhanced more than two times with a 300 ug/kg dose ... [TRUNCATED

Exercises on the Nature of Science: The Necessity of Observation

The key to understanding and explaining the physical world around us is observation. The recent study Vegetation Communities of Ledges State Park, Boone County, Iowa Johnson-Groh, 1985) is largely observation. On the other extreme, even the most theoretical research done with paper, pencil and computer must be compared with observations of that which it hopes to explain. The first step in doing science, or studying science, is to observe

Exercises on the Nature of Science: Indirect Observations

An earlier ISTJ article (Stout, 1986) presented several methods for demonstrating the importance of observation in scientific inquiry. The blue bottle demonstration described there illustrates the use of indirect observations in science. The demonstration described here carries the concept of indirect observation further. It can stand alone, or be integrated with the blue bottle demonstration for a more complete discussion of the nature of science

Study of quiet turbofan STOL aircraft for short haul transportation

Conceptual designs of Quiet Turbofan STOL Short-Haul Transport Aircraft for the mid-1980 time period are developed and analyzed to determine their technical, operational, and economic feasibility. A matrix of aircraft using various high-lift systems and design parameters are considered. Variations in aircraft characteristics, airport geometry and location, and operational techniques are analyzed systematically to determine their effects on the market, operating economics, and community acceptance. In these studies, the total systems approach is considered to be critically important in analyzing the potential of STOL aircraft to reduce noise pollution and alleviate the increasing air corridor and airport congestion