Use of Rest API and WebSocket Interface Algorithms to Structure the Three-Link Level of Emergent Systems and Displaying Media Systems

An analysis of the speed and efficiency of data transfer using the WebSocket and REST API protocols was carried out. To compare the speed of processing stream objects and identify a more reliable technology for the development of APIs, expansions of basic functions in the Taylor and Fourier series were used. It was found that the REST API is a faster and more accessible resource for the transmission information data in a bitwise transformation, and the scalability of this protocol prevails in the number of processed units, which allows expanding the number of tests performed.