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Searching through collection of documents

This is a mathematical modeling final project.

Task desctiption:

Create a search engine for relevant documents by keywords with
latent semantic indexing (LSI). Methods they choose only
documents containing precisely searched words are quite inaccurate.
Namely, people use a lot of synonyms that simple methods do not
connect. The LSI method builds a model that combines multiple words into concepts and therefore
also finds documents that are relevant but do not contain a search term.