No abstract
The novel coronavirus disease (COVID-19) forced the Ukrainian government to introduce lockdown on March 12, 2020. In addition, the transition to distance learning in schools and universities has posed new challenges to the entire education system and young people. In this study, a survey of IT students was conducted using Google forms. The questions in the questionnaire were aimed at studying the impact of online learning on the distribution of the students' day and the impact of the pandemic on the emotional state of a young person. The survey results showed significant changes in the daily schedule of students caused by the pandemic crisis. Thus, a remarkable increase in computer time can be a negative factor in influencing the health and emotional state of the younger generation.
The use of Ateb-functions is determined by those areas where ordinary trigonometric functions are used. Modern advances in physics have led to the development of new mathematical areas that require the relativity or variability of time. The current researches in this field and main results of studies of the ordinary Ateb functions are briefly described. To take into account compression/slow-down as a property of time parameter, the q-analogs of Ateb-sine (q-Ateb-sine) and Ateb-cosine (q-Ateb-cosine) are constructed by inverting the incomplete q-Beta functions. The change in parameter q corresponds to the time scaling in the studies. q-analogs of Ateb-tangent (q-Ateb-tangent), Ateb-cotangent (q-Ateb-cotangent), Ateb-secant (q-Ateb-secant) and Ateb-cosecant (q-Ateb-cosecant) are introduced. Theorems characterizing the basic properties of the constructed functions are proved. In particular, it is shown that when q→1, taking the limit we obtain ordinary Ateb-functions. The introduced functions are periodic with the period corresponding to q-analogue periods of the ordinary Ateb-functions. The representation of the period using the q-analogue of the Gamma-function is constructed. The generalized Pythagorean identity for the q-analogues of trigonometric Ateb-functions is proved. Also the properties of the parity and oddity of these functions are considered and proved. The intervals of increasing/decreasing for all functions are found. The q-analogues of the identities formulas for the trigonometric Ateb-functions are presented. Formulas for calculating q-derivatives for the q-analogue of trigonometric Ateb-functions are constructed. It is proved that constructed functions satisfy the system of q-derivative differential equations. Results of the presented studies can be used in the time series theory and signal processing.
Неласая А. В., Дозоренко И. С. ОБЗОР И СРАВНЕНИЕ СХЕМ ЦИФРОВЫХ МУЛЬТИ-ПОДПИСЕЙ Рассмотрены известные схемы цифровых мультиподписей с групповой проверкой, использующие только одну вместо нескольких проверок, а также недостатки этих схем. Проведено сравнение свойств схем по нескольким критериям. Ключевые слова: цифровая подпись, мультиподпись, групповая проверка, RSA, DSA. Nelasa A. V., Dozorenko I. S. REVIEW AND COMPARISON OF MULTIPLE DIGITAL SIGNATURES Several batch verication multiple digital signatures are reviewed in this paper. These schemes use only one verification instead of several verifications. Weakness of these schemes is also pointed out. The schemes were compared by the defined criterions.
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