Almost any research is based in its conclusions on the application of mathematical methods. How well this is done largely determines the success of the entire work. Correct and creative use of mathematical apparatus allows the researcher to solve wide and large-scale problems without the use of additional resources and the quality of the result (prediction accuracy or level of evidence) in this case increases. Nowadays thanks to the development of applied mathematics and computer technology this has become more accessible than ever before. This paper is devoted to the study of how implemented the mathematical and computational potential in modern psychological and medical research and what the prospects for its development are. The book will be useful to those who are in any way associated with conducting research (both scientific and practical) and are interested in increasing its effectiveness. The materials contained in the appendices will enable the reader to conduct his own research. A comprehensive analysis of the use of the mathematical apparatus in modern research will provide information support for teachers.
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