Evolution of singlet structure functions from DGLAP equation at next-to-next-to-leading order at small-x

A semi-numerical solution to Dokshitzer- Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equations at leading order (LO), next-to-leading order (NLO) and next-to-next-to-leading order (NNLO) in the small-x limit is presented. Here we have used Taylor series expansion method to solve the evolution equations and, t- and x-evolutions of the singlet structure functions have been obtained with such solution. We have also calculated t- and x-evolutions of deuteron structure functions F_2^d, and the results are compared with the E665 data and NMC data. The results are also compared to those obtained by the fit to F_2^d produced by the NNPDF collaboration based on the NMC and BCDMS data.Comment: 26 pages, 6 figure

Aging And Health In South Dakota: Who Will Provide Care?

Demographers have long been writing of an aging population.  The forthcoming demographic changes predicted include the doubling of the elderly in selected states between 1995 and 2025, and the possibility that the numbers of people over age 85 is expected to reach at least 27 million by 2050.  These changes in the population will have a major impact on many sectors of the United States economy, including health care.  The effect on health care will include changes in technology to provide needed services to the elderly, access to medications by the elderly, overall service provision to the elderly by health care organizations, as well as reimbursement for services to the elderly.  The most dramatic affect on health care is still a couple of decades away.  As a result of the demographic trends there will be an insufficient supply of health care workers, while at the same time an increase in the health care needs of the elderly.  In South Dakota the working population, those 16 to 64 years of age, is experiencing significant changes.  The 16 to 44 year old segment of the population has declined by 10.4%.  The 45 to 64 year old segment has increased by 23.5%.  These changes in the South Dakota demographics indicate that the working population is aging, while the numbers of individuals available to replace them in the work force (the replacement group) is declining.   The data provides an indication that there will be more elderly consuming greater amounts of health care resources and fewer health care professionals, specifically nurses, in South Dakota to provide health care for the elderly.  &nbsp