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The problem of convergence of the procedure for synthesizing classifier schemes in the methods of logical and algorithmic classification trees is considered. An upper estimate of the complexity of the algorithm tree scheme is proposed in the problem of approximating an array of real data with a set of generalized features with a fixed criterion for stopping the branching procedure at the stage of constructing a classification tree.

The problem of constructing a model of logical classification trees based on a limited method of selecting elementary features for geological data arrays is considered. A method for approximating an array of real data with a set of elementary features with a fixed criterion for stopping the branching procedure at the stage of constructing a classification tree is proposed. This approach allows to ensure the necessary accuracy of the model, reduce its structural complexity, and achieve the necessary performance indicators.

Using of the technology of the online analytical processing (OLAP) to support decision-making in education was offered. Systematic analysis of the activity of secondary schools was performed using the methodology of constructing hypercube data. Detailed description of dimensions hypercube data of secondary schools were identified and presented. Multidimensional data model of secondary schools was worked out.

In the article made theoretical analysis and comparative characteristics of the concepts of mentality, legal mentality.
An attempt was made of determining criteria by which classified the mentality of positive law of states, nations, nationalities using the following categories of theory and philosophy of law as “system of law,” “legal system” and “Family Law."