Analogies and Generalizations of Phenomena Accepted When Solving Reliability Problems

In matters of design quality assurance, special attention is paid to the reliable operation of products under various operating conditions, ensuring the operability of the material property relationships. The article examines approaches to studying the patterns of processes and phenomena and formalized procedures for making changes to their mathematical description. The necessity of testing physical concepts and representations that are geometric, statistical, and then thermodynamic analogies (integral or averaged) is shown. The problems of generalization are considered using the example of critical phenomena of different nature.