Some Results on Littlewood's Problem and Orlicz's Problem

We give a concrete example to the known problem of Littlewood by applying the stationary phase ( or saddle point ) method.We also give a trigonometric series which is not Borel summable and not a Fourier series. The result is an affirmative answer to Orlicz’s problem.</p

Measuring academic achievement based on selected exam subjects: The exam scores of medical technologist students

Background : It is necessary to conduct classes effectively for new medical technologist students. To develop effective lectures for university students, academic achievement based on selected exam subjects and the exam scores of medical technology students were analyzed. Methods : This study is a prospective cohort study. This study focused on 99 students who entered university in 2015 as medical technology students, and the exam results of the 99 students over four years were analyzed. We examined the following: 1) The subjects selected for the university entrance exam; 2) the grades from all four years of university; 3) the graduation exam results at the end of the senior year; and 4) the medical technology national exam scores. Statistical analyses were performed using IBM SPSS version 22 that included t-tests and a Pearson correlation analysis. Results :The subjects selected for the entrance examination affected the average score of the national exam (which is held in Febrary), and the scores of the graduation test (held before the national exam) and the national exam were highly correlated (r=0.79, p=0.00) Conclusion : Student study support should be provided immediately after enrollment, especially for students who have not taken the biology exam. We identified a high correlation between the scores for the graduation exam, which is held in December of the senior year, and the national exam, which takes place the following February. Those who failed the graduation exam at this university cannot take the national exam, which is required for the students to be able to graduate

Prediction of senior year medical students who do not pass the graduation exam by logistic analysis using data on gender, experience of repetition, and results of previous exams

Background. The number of students who must repeat an academic year due to an inability to attain enough credits has been increasing in Japan. It is important for universities to be able to identify these students in advance to ensure that they pass their examinations without need of repetition. In this study, we tried to predict the likelihood of students’ repetition of their senior year using the factors of gender, experience of repetition up to the junior year, and scores on tests conducted four times before their graduation exam in the senior year. Methods.Seventy-three students belonging to the senior class of a medical technology college in Tokyo were studied. The students were divided into three groups: Group 1, composed of students who passed the graduation exam on the first attempt (n=35); Group 2, composed of students who failed to pass the graduation exam at the first attempt, but passed the graduation re-exam (n=26); and Group 3, composed of students who did not pass the graduation exam or the re-exam (n=12). Results.We found that gender was not a factor of senior-year repetition. Students who had experienced of repetition prior to junior year tended to be six times more likely to fail the graduation exam than those who did not (OR=6.52, 95% CI: 1.17 – 32.44, P=0.03). Low scores on Test 4, administered two months before the graduation exam, were associated with students who fail to pass the graduation exam (OR=15.2, 95% CI: 3.29 – 70.14, P=0.00). The graduation exam score was associated with students who fail to pass the re-exam (OR=55.2, 95% CI: 1.13 – 2679.86, P=0.04). Conclusion.This study suggests that we need to support senior-year students based on the results of pre-graduation testing, and we need to increase support for students with repetition experience before junior year

Upper and Lower Bounds of the Discrepancy of the Sequence (αn + βnlogn)

We give upper and lower bounds of the discrepancy of the sequence(αn+βnlogn)