The rheological properties of different liquid foods and especially of fruit-based syrups depend on different aspects, among which are composition and temperature. One of the most influential aspects is the water content of the syrup and, in general, when the moisture content increases, the viscosity of the fruit syrup decreases. The objective of this work was to determine the physicochemical rheology of the fruit syrup (honey) for the Peruvian nougat "Doña pepa", to obtain the best percentage of synergism of the xanthan and tara gums, and the most suitable formulation for the fruit syrup. Six concentrations of 0.60 %, 0.80 %, 1.00 %, 1.20 %, 1.20 %, 1.40 % and 1.60 % were determined for the two gums. At each of these percentages the apparent viscosity was determined, thus characterizing the flow behavior of the product. The results of pH, soluble solids, and dynamic viscosity of the co...

The rheological properties of different liquid foods and especially of fruit-based syrups depend on different aspects, among which are composition and temperature. One of the most influential aspects is the water content of the syrup and, in general, when the moisture content increases, the viscosity of the fruit syrup decreases. The objective of this work was to determine the physicochemical rheology of the fruit syrup (honey) for the Peruvian nougat "Doña pepa", to obtain the best percentage of synergism of the xanthan and tara gums, and the most suitable formulation for the fruit syrup. Six concentrations of 0.60 %, 0.80 %, 1.00 %, 1.20 %, 1.20 %, 1.40 % and 1.60 % were determined for the two gums. At each of these percentages the apparent viscosity was determined, thus characterizing the flow behavior of the product. The results of pH, soluble solids, and dynamic viscosity of the co...

Describe the COVID-19 pandemic in Peru, carry out mathematical statistical modeling, determine the critical time, the speed with which the pandemic developed and validate the estimated data; have characterized this research; whose objective has been to model and analyze COVID-19 infections in Peru, and compare infected people and estimated infected people; assess the critical time in which the maximum speed of estimated infected people occurs and statistically validate the model. The data on COVID-19 infections until February 24, 2023 has been taken into account; determining that they describe a sigmoidal logistic dispersion; event that was mathematically modeled using the expression , which is a predictive logistic equation. With the predictive mathematical model, the number of people infected and their behavior of COVID-19 in Peru was estimated. Likewise, the speed of people infected w...

The calculation of Bernoulli numbers is because there are numerous mathematical expressions and environmental engineering phenomena in which they can be applied. Although it is true that, with the aid of the computer and the use of programs, there are a great number of them; in the current references they are published in a reduced number and, therefore, when using them, unsatisfactory approximations are made. The purpose was to calculate the first 20 Bernoulli numbers, apply them to mathematics (∫ ln(cosx)dx) and environmental engineering, quantifying the alkalinity of natural water in the form of calcium carbonate (CaCO3)(mg/l ), measuring carbon dioxide (CO2). There is a great variety of relations containing Bernoulli numbers presented in several practical applications of mathematics. The best relationships used here are binomial developments. Employing the appropriate equations, th...

Monkeypox (mpox) is a virus of the same family as human smallpox, detected in tropical forest regions in May 2022 in the United Kingdom and subsequently in Latin America. The objective of the present investigation was to study, by means of mathematical models, the infectivity of Monkeypox in North America in epidemiological comparison with South America. Data on monkeypox infectivity in both North and South America between the beginning of June 2022 and the end of February 2023 have been taken into account. By performing the pandemic dispersion, it was determined that the mathematical model of estimation is: ; with which the number of people infected with monkeypox in both North and South America was estimated. The mathematical model for estimating the rate of infection with monkeypox in both North and South America was determined: . At the 5% significance level, the variances of the con...