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The paper introduces the method of parallel elaboration of intelligent agents (IAS) as layers of functional units (FUs) which are recursive on all levels (FUs, layers of FUs, IAs). A refined technique of this method are the coordinatewise approaches (coordinatewise analysis, coordinatewise optimization, etc.) The technique of coordinatewise analysis is introduced with its mathematical formalism, diagram and an example for application. Discussion and conclusions list the perspectives for implementations in industry.