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Eigenvectors / From the Mathematical Sciences to . . . an IPO
Pages 7-10

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From page 7...
... . an IPO I n 1997, when Sergey Brin and Larry Page were graduate students at Stanford, they wrote a short paper about an experimental search engine that they called Google.
From page 8...
... Singular value decomposition (SVD) is a purely mathematical technique to pick out characteristic features in a giant array of data by finding eigenvectors.
From page 9...
... . The company publicly released an anonymized database of 100 million past ratings by nearly half a "to google" had million users so that competitors could test their algorithms on real data.
From page 10...
... By building up artificial networks of links, spammers undercut the underlying assumption that a Web link represents a human judgment about the value of a Web page. While Google has refined the PageRank algorithm many times over to ferret out fake links, keeping ahead of the spammers is an ongoing mathematical science challenge.

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