Two of the most important questions now being debated in the U.S. are the effects of globalization and immigration on the nation's economy. Globalization is accelerating and it is still not clear whether trends like outsourcing will erode U.S. competitiveness or provide long-term benefits. The focus of the immigration debate is on the plight of millions of… (More)
We prove that for all but a certain number of abelian groups of order n the Davenport constant is at most n k + k − 1 for positive integers k ≤ 7. For groups of rank three we improve on the existing bound involving the Alon-Dubiner constant.
Introduction The founders of the United States considered intellectual property worthy of a special place in the Constitution— " To promote the Progress of Science and useful Arts, by securing for limited Times to Authors and Inventors the exclusive Right to their respective Writings and Discoveries. " 1 In today's knowledge‐based economy, capturing value… (More)
Vast world reserves of methane gas are underutilized as a feedstock for the production of liquid fuels and chemicals owing to the lack of economical and sustainable strategies for the selective oxidation of methane to methanol. Current processes to activate the strong C-H bond (104 kcal mol(-1)) in methane require high temperatures, are costly and… (More)
Symbol-by-symbol detection algorithms are useful in systems in which soft-decision metrics are important, e.g., systems with interleaved coded modulation. A soft-output algorithm for the detection of continuous phase modulated (CPM) signals transmitted over frequency flat, Rayleigh fading channels is developed. Since the optimum detector is computationally… (More)
The initial motivation of the present paper is the following problem of Erd6s and Woods, whose solution would be of interest in logic (see [3, 6, 11, 10, 16]): Does there exist an integer k >=2 with the following property : if x and y are positive integers such that for l<=i<=k, the two numbers x+i and y+i have the same prime factors, then x=y. For each… (More)
A new secondary structure, which shows regularity within the experimental error, is noticed in alpha-chymotrypsin, and considering its extended nature, the name epsilon-helix has been suggested for the same. The average observed values of phi and psi for this conformation are -93 degrees and +146 degrees, respectively. The helical parameters turn out to be… (More)
Let f (n) be the number of unordered factorizations of a positive integer n as a product of factors > 1. In this paper, we show that the number of distinct values of f (n) below x is at most exp(9(log x) 2/3) for all x ≥ 1.