The Era of Google®: the Use of Eigenvectors in Search Engines

Author: Rochelle McLaren [ profile | email ]

Abstract

The search engine of the World Wide Web is a powerful tool used from finding out the name of your Michael Jackson’s pet dog, to checking your credit score or bank statement, to finding academic literature for scholastic research. This paper will answer three main questions:
  1. how is a search, usually a sequence of words, converted into a mathematical language;
  2. what mathematical models does a search engine employ to retrieve information for the search from various websites;
  3. how is relevance of information retrieved to the search request measured, and how does this translate to the ordering of items?
Another point of interest for search engines that this work will also look at is the “Cach” feature of search engines, identifying key mathematical models used for this program.

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