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Visual representaion of special numbers for complex structure system analysis

The aim of the article is to solve problems of researching of complex system structure. The methods of visual combinatorial analysis are used for representation variable structure complex systems. We consider the set of structures generated by special numbers - Gaussian binomial coefficients. An example of the construction of structure lattices using new recurrence formula is shown. The special “mathematical microscope” suggested by P. Florensky is a procedure revealing the consistent complication of the structure based on special numbers. The proposed method can be applied in the analysis of the numbering components complex structure, evaluating the effectiveness of the structure transformation with changing sets of data processing tasks.