A generalization of the Dirac field equation in three-dimensional Minkowski space-time to the case of the $\bar{SL}(3,R)$ $\subset$ $\bar{SA}(3,R)$ symmetry is considered. Constraints that ensure a correct physical interpretation of the corresponding particle states are presented. Dirac-like equations based on both multiplicity-free and generic infinite-component $\bar{SL}(3,R)$ representations are outlined.
Epidemiologic studies often rely on food frequency questionnaires (FFQs) to collect information on alcoholic beverage intake. However, estimation of alcohol intake using FFQs may be of some concern because of limited questions concerning alcohol intake. The authors compared estimates of alcohol intake during the 12-24 months prior to interview obtained from the Health Habits and History Questionnaire and the Harvard Semiquantitative Food Frequency Questionnaire with those from a more extensive alcohol questionnaire, the Drinking Pattern Questionnaire, among 133 healthy subjects (75 men, 58 women) aged 35-73 years, residents of western New York State. Data were collected in 1995 during two separate interviewer-administered computer-assisted interviews conducted approximately 2 weeks apart. For each questionnaire, average daily ounces (1 oz = 30 ml) of alcohol intake from alcoholic beverages were calculated as the product of the reported beverage-specific drink size (ounces) and the average daily frequency of intake multiplied by a factor representing the percentage of alcohol provided by each beverage. Estimates of total alcohol and liquor intake, but not of beer and wine intake, tended to be higher for the Drinking Pattern Questionnaire compared with the FFQs. Spearman's correlation coefficients ranged from 0.69 to 0.84. These results suggest that although the Drinking Pattern Questionnaire produced higher estimates than either FFQ, both FFQs provide a reasonable ranking of participants' alcohol intake.
Abstract In the 1990s, the global marketplace is characterized by the speed and ease with which services cross over national boundaries. As a result, service industries in many countries around the world have become extremely important in the development and socioeconomic well-being of these countries. The purpose of this paper is to understand the internationalization process of services firms. It is concluded that international operations of services firms are driven by a similar set of variables used by manufacturing firms, but the intensity and direction of some key relationships require modification and adaptation.
Phosphorus (P) is the limiting nutrient for primary production in most freshwater ecosystems. The magnitude of P leaching from agricultural soils is therefore critical. Preferential flow has been proposed as a major cause for high P losses in structured clay soils. Undisturbed soil of two texturally different soils, that is, a clay soil in which preferential flow was expected to be the main mode of water transport and a sandy soil where piston flow is the dominant process, were used in this study. Use of labeled P made it possible to determine the origin of leached P. An equivalent of 100 kg P ha -1 , labeled with 33 P, was added to the soil surface of each lysimeter. Water equivalents to 100 mm were added on five occasions with 7 d between each watering event. Ponded flow conditions were established during periods when water was added, to trigger preferential flow behavior. Phosphorus leaching loads from clay columns were much higher than P loads from sand columns. The average P leaching load for the five clay columns was 4.0 kg ha -1 , compared to only 56 g ha -1 for the three sand columns. The main part of leached P was in dissolved (PO 4 -P) form. The recently added P prevailed in leachate from the clay soil indicating rapid transport of added P from the soil surface through the profile via macropores.
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