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Help on query formulation
Searching for text in vector space. (English)
UMAP J. 29, No. 4, 417-430 (2008).
Summary: This article discusses how one can rank Web pages based on content. The article is introductory in nature. An interested reader is encouraged to research the literature on search engine analysis, which is an ever-growing field. In particular, we will consider a vector space model for performing a search. This method does not take into account the hyperlink structure of the World Wide Web. As such, the rankings from the vector space model could be aggregated with the results of PageRank, for instance, to produce a final ranking based on the hyperlink structure of the web and Web pages’ content. The vector space model we consider in this article analyzes the content of individual Web pages. We will see why this method is typically not used for searching on the web but rather smaller databases. Nonetheless, the ideas of this article can give a reader insight on a mathematical technique for ranking Web pages based on content and relative to a query. Further, the reader will be introduced to the complexity of this problem and the type of innovative mathematics that is utilized everyday when we submit queries to search engines and use the results.
Classification: M55 H65
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