Application of mathematical analysis in determining identification features of handwriting (practical aspect)

The purpose of the article. It has been determined that the currently existing generally accepted system of handwriting features mainly meets the needs of expert practice in Ukraine. However, the procedure for determining some identification features in modern handwriting science is not sufficiently clearly regulated. It is noted that forensic handwriting, like other areas of scientific knowledge, is constantly evolving. It is emphasized that it is advisable to take steps to improve the system of handwriting (signature) features with due regard for the capabilities of mathematical methods, computer technology and methods based on the study of the morphological structure of a stroke. The purpose of the study is to provide proposals for improving the system of handwriting features in the context of developing new methods using mathematical analysis. It is substantiated that mathematical analysis of handwriting or signature is a modern research method based on the use of mathematical models and algorithms for identification of the performer. The article considers the issue of determining some identification features of handwriting in a two-dimensional plane by «special» points located on the trajectory of handwriting objects in a certain coordinate system. In the course of the study, the terminology of handwriting identification features was clarified, which ensures their unambiguous interpretation, reliability, and minimizes the influence of the subjective factor in determining the identification features by qualitative and descriptive methods. It is proved that, while maintaining the traditional scientific, theoretical and methodological framework characteristic of the study of signatures, it is relevant for an expert to organize work on obtaining additional orienting information using mathematical methods. The study, which was aimed at improving the system of handwriting features by means of mathematical analysis, can be used by experts in practice when studying any handwriting objects (alphabetic texts, digital records and signatures). Based on the results of the study, it is concluded that while maintaining the traditional scientific, theoretical and methodological basis for the study of signatures, it is relevant for an expert to organise work on obtaining additional orientation information using mathematical methods when conducting a signature examination.