Assessment of the Influence of Astronomical Cyclicity on Sedimentation Processes in the Eastern Paratethys Based on Paleomagnetic Measurements Using Discrete Mathematical Analysis

The introduction of modern methods for the mathematical processing of geological data is one of the promising areas of study and development in the field of geosciences. For example, today mathematical geology makes it possible to reliably identify astronomical cycles by measuring the scalar magnetic parameters of rocks (magnetic susceptibility). The main aim of this study is to develop a mathematical tool for identifying stable oscillation cycles (periods) in the dataset of the magnetic susceptibility of rocks in a geological section. The author’s method (algorithm) is based on the concept of discrete mathematical analysis—an innovative mathematical approach to the analysis of discrete geological and geophysical data. Its reliability is also demonstrated, by comparison with the results obtained by classical methods: Fourier analysis, Lomb periodogram, and REDFIT. The proposed algorithm was applied by the authors to analyze the material of field geological studies of the Zhelezny Rog section (Taman Peninsula). As a result, stable cycles were determined for the Pontian and Lower Maeotian sedimentary strata of the Black Sea Basin (Paratethys).

Macroeconomics Activity and Role of Zaka in Achieving Economic Stability (Aggregate Demand/ Mathematical Analysis Study): الزكاة والنشاط الاقتصادي الكلي ودورهما في تحقيق الاستقرار الاقتصادي (الطلب الكلي/ دراسة تحليلية اقتصادية رياضية)

This research aimed to clarify and show the economic impact of Zaka fund development through theoretical, mathematical, and graphical analysis on macroeconomics variables which is related to aggregate demand, Researchers used theoretical, mathematical, graphical approaches for explanation economic variables. and used deductive approach through shows the effect of zakat on the aggregate Demand. The researcher concludes that the duty of Zaka induces economic growth and protects the economy from risk fluctuations whether it is recession or inflation. The researcher recommends to work on promoting the revival of Zaka, and the Zakat should be compulsory not voluntary through laws and regulations, ࢫbecause it raises the level of economic activity through its direct effect to stimulate fund investment, raise consumer’s demand and expand the market.

Dynamics of Changes in the Indicators of Mathematical Analysis of Heart Rate in Conditions of Adrenaline Myocardial Dystrophy against the Background of Different Functional Activity of the Pineal Gland

The purpose of the study was to examine the features of heart rate variability in experimental hyper- and hypofunction of the pineal gland, complicated by adrenal myocardial dystrophy. Materials and methods. To solve the set tasks, three models of functional states were created: hypo-, hyperfunction of the pineal gland, adrenaline myocardial dystrophy. Hypermelatoninemia was reproduced by administering melatonin. The hypofunction of the pineal gland was simulated by round-the-clock lighting. An experimental model of cardiac pathology, namely adrenaline myocardial dystrophy, was reproduced by administering adrenaline hydrochloride. The degree of tension of regulatory mechanisms and mechanisms of nervous regulation was assessed by mathematical analysis of heart rate variability. Results and discussion. The task of mathematical analysis is to extract “hidden information” and thereby assess the state and degree of tension of the regulatory mechanisms of the whole organism. According to the authors, mathematical analysis allows a differentiated approach to the assessment of regulatory effects, which is done by the nervous autonomic system, subcortical structures and the cerebral cortex. The data obtained by the authors suggest that the introduction of adrenaline in conditions of hypofunction of the pineal gland have cause-and-effect changes. These changes lead to disorders of autonomic regulation and possibly a trigger mechanism for a decrease in melatonin production by the pineal gland. Studies have shown that one of the advantages in conditions of hyperfunction of the pineal gland is the dominant role of parasympathetic processes in the mechanisms of adaptation of the heart to conditions of adrenal myocardial dystrophy. Timely and sufficient activation of melatonin provides a high efficiency of compensatory-adaptive changes and a positive role in increasing myocardial resistance. Conclusion. The results of the study showed that the dynamics of changes in the values of the indicators of the mathematical analysis of the heart rate in adrenal myocardial dystrophy against the background of hypo- and hyperfunction of the pineal gland revealed unidirectional changes. These changes are manifested in a decrease in heart rate, stress index and vegetative balance indicator. Consequently, the results obtained suggest that the introduction of melatonin against the background of adrenal myocardial dystrophy has a general corrective effect on the restoration of the functional state of the heart. Based on the results, the authors consider it appropriate to continue the study of the influence of various stressors on the functional state of the heart in conditions of different physiological activity of the pineal gland

Mathematical analysis of the value of constructive additives in the protective suit of the kinologist

The problems of designing a suit for full protection of a cynologist-figurant are considered. A mathematical model is proposed for optimizing the value of constructive increments for predicting and searching for a rational design of PPE for a trainer-dog handler with high ergonomic properties.