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In this paper, we present six new contributions: two novel definitions and four groundbreaking theorems related to the theoretical foundations of the integral T e transform, with a specific focus on analyzing functions with integrable modulus. The definitions referred to the T e window and the T e transform in two parameters, respectively. The theorems provide the main theoretical basis for the T e transform: the existence of the T e transform in two parameters, the T e transform ∈ L 1 (R) , the existence of the inverse T e transform, and uniqueness of the T e transform. These results reveal the importance of the fact that the T e transform only depends on two parameters (translation and dyadic frequency), obtaining its inverse transformation more directly; hence, breaking through a new approach in function analysis by representing a function in the scale-frequency plane. The theoretical results presented in this paper are supported by the previous works of the authors. [ABSTRACT FROM AUTHOR]

The electroencephalography (EEG) signal contains important information about the electrical activity of the brain, which can reveal many pathologies. This information is transmitted in certain waveforms and events, one of which is the K-complex. Detection of these patterns is essential in sleep studies to diagnose neurophysiological and cognitive disorders. Existing detection methods rely heavily on tedious, time-consuming and error-prone manual inspection of the EEG waveform. Therefore, automatic identification of K-complexes is of great interest. In this paper, adapted wavelets are constructed to detect K-complexes using a variant of the Discrete ÓtextitShapelet Transform II (DST-II). This transform is designed to detect patterns (such as these K-complexes) by localizing them in time and frequency. This is achieved by numerically solving a system of nonlinear equations that estimates a wavelet filter adapted to the pattern. In this research, a numerical strategy for solving the nonlinear system of DST-II is presented. The influence of such a strategy on the detection of K-complexes in different signals and the detection accuracy versus other classical wavelet filters were evaluated. [ABSTRACT FROM AUTHOR]

Sleep quality is related to daily performance and stress. The working conditions imposed by the coronavirus disease 2019 (COVID-19) pandemic have impacted individuals and families. To analyze the relationship between sleep quality, daily activities, and stress of workers during the pandemic, a study of activity diaries of 113 workers in Havana, Cuba, in August 2020, with data collected by telephone, was carried out. Descriptive and inferential statistics, regression, and social microsequence analysis were used to study the data. Women slept 8.64 hours a day, dedicated 5.30 hours to leisure, 3.53 hours to work, and 3.40 hours to household chores. Men slept 8.33 hours a day, dedicated 6.64 hours to leisure, 4.12 hours to work, 2.32 hours to personal needs, and 1.99 hours to household chores. There were statistically significant differences by sex in terms of role changes, time spent on leisure activities and on household chores, and the number of roles experienced. Women had a positive and statistically significant relationship between the level of rest and time spent sleeping, while men had a negative and statistically significant relationship between the level of rest and hours in household chores. Men slept and rested more than women. The findings corroborate different behaviors by sex, according to the activities and roles they perform in different environments, and their influence on sleep quality and stress. [ABSTRACT FROM AUTHOR]

There is a need for environmental advisors, environmental managers, environmental auditors, chief executive officers, the self-employed, etc., to be given a better training in environmental issues. This paper presents guidelines a responsible environmental management for Cuban state-owned enterprises, small businesses and cooperatives to perform environmentally friendly business activities, including handling of hazardous chemicals. [ABSTRACT FROM AUTHOR]