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{\bf Abstract}  The goal of formalization, proposed in this paper, is to bring together,   as near as possible, the theoretic  linguistic problem of synonym conception and the computer linguistic methods based generally on empirical intuitive unjustified factors. Using the word vector representation we have proposed the geometric approach to mathematical modeling of synset.  The word embedding is based on the neural networks (Skip-gram, CBOW),   developed and realized as word2vec program by T. Mikolov.