Three Dy(iii) SIMs bearing the tropolone ligand are reported here with the tuning effect on their performances by ancillary ligands revealed via experimental magnetic investigations and theoretical calculations.
In carrying out surveys involving sensitive characteristics, randomized response models have been considered among the best techniques since they provide the maximum privacy protection to the respondents and procure honest responses. Over the years, researchers have carried out studies on the estimation of proportions of the population possessing sensitive characteristics. However, there is a paucity of research studies that have addressed higher order interactions between these sensitive characters. In this article, we develop a new theory based on three proposed randomized response models which we name as: simple model, semi-crossed model, and fully crossed model. Twenty-one new unbiased estimators of seven parameters are introduced, their variance expressions are derived, and unbiased estimators of variances are developed. The three models are compared under various values of the parameters by computing the percent relative efficiency of one model over another model. The most efficient model is then applied to study the population proportions of three varieties of smoking habits among students, and their first- and second-order interactions. The last four sections (Ninth to Twelfth) are verifications of theoretical results using the Cramer–Rao lower bounds of variances for the developed 21 new estimators in randomized response sampling.
Sodium fire is a design basis accident of sodium-cooled fast reactor. Sodium spray fire experiments were conducted in enclosed cell in this study to understand the sodium spray fire status and how to have an influence on the plant under realistic sodium spray. The process of spray fire experiment was described in the paper. Pressure transducers and thermocouples can be mounted on the room to record pressures and temperatures, respectively. Control and data acquisition system were designed to record most of data for the various instruments. Three experimental results showed realistic sodium spray combustion is mainly in the form of column fire burning. The rise of temperature is drastic on combustion zone. The highest temperature was observed during the sodium spray burning. The experimental results of pressure and temperature were compared to calculation values based on FEUMIX program. It was found the theoretical temperature on 10% sodium atomization of FEUMIX program is coincident with the experimental results of sodium fire burning at over 1500mm combustion zone at time 200 seconds. However, the experimental pressure curve has distinct from theoretical calculation value using FEUMIX program. The results can as a reference to analyze spray sodium fire combustion to help for nuclear safety analysis.
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