"The theory of plafales: the proof of P versus NP problem, the new proof of continuum hypothesis, the identication system of military objects" postulated the theory of new mathematical objects-plafales. The theory of plafales is the eclecticism of different mathematical sciences: mathematical analysis, the theory of sets, the theory of categories, differential geometry, harmonic analysis, vector analysis and the theory of manifolds. In the work exist the drawings which are the illustrations of mathematical representations. The drawings were made in engineering design software. Work structure is as follows: thesis mathematical basis of the thesis the drawings Work has the "smooth transition":each section is a logical consequence of another. The proof of P versus NP problem -is one of the consequence of the theory of plafales. The proof of continuum hypothesis is one of the consequence of the theory of plafales. The work was done in the style of the "orchestra". This was achieved...

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