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Numerical algorithms are widely used in different applications, therefore, the execution time of the functions involved in numerical algorithms is important, and, in some cases, decisive, for example, in machine learning algorithms. Given a finite set of independent functions A(x), B(x), ..., Z(x) with domains defined by disjoint, consecutive, and not necessarily adjacent intervals, the main goal is to integrate into a single function F(x) = k1×A(x) + k2×B(x) + … + kn×Z(x), where each activation coefficient k, is one if x is in the interval of the respective domain and zero otherwise. The novelty of this work is the presentation and formal demonstration of two general forms of integration of functions in a single function: The first is the mathematical version and the second is the computational version (with the AND function at the bit level), which is characterized by its efficiency. The result is applied in a case study (Peru), where two regression functions were obtained that integrate all the waves of Covid-19, that is, the epidemic curve of the variable global number of deaths/infected per day, the adjustment provided a highly statistically significant measure of correlation, a Pearson's product-moment correlation of 0.96 and 0.98 respectively. Finally, the size of the epidemic was projected for the next 30 days.

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El trabajo consiste en demostrar la posible utilización de los métodos de los elementos finitos para el caso de cálculo de un álabe de una turbina de avión. En primer lugar, hallamos los esfuerzo críticos en el álabe debido a las solicitaciones de la fuerza centrifuga y los gasodinámicas, estas generan esfuerzos de tracción y flexión permanentemente. Comparando estos resultados con los obtenidos anteriormente por métodos tradicionales, llegando a validar nuestros resultados por el método de los elementos finitos. Finalmente hallaremos los modos de vibrar y frecuencias naturales del álabe de la turbina, llegando a conclusiones que concuerdan a los publicados en la literatura. El método de los elementos finitos representa una poderosa herramienta que puede ser utilizada satisfactoriamente para la optimización de los diseños complejos tales como de la turbina.

Prolonged exposure to UV radiation is harmful and causes skin cancer. Currently, interested people get their UV radiation information from the weather forecast, which has a rough estimate and average for a given region. The research focuses on developing a mobile application using the mobile application development methodology with the objective of calculating UV index values in real time, considering the geographical position and time. The evaluation of the values calculated by the mobile application were validated by linear correlation with data obtained by the TUV model and measured by the meteorological station, obtaining values greater than 0.993 for both comparisons. It is determined that extreme values are presented between the hours of 11am to 14pm. Concluding that it is possible to implement mobile applications to determine UV index values for the Puno region.