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% -*- root: main.tex -*-
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\section{Problem Definition}
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\label{sec:prob-def}
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Our work involves overcoing the exponential computation time that it takes to compute world existence for a given tuple $\tup$ by estimating in polynomial time the same quantity within an ($\epsilon$, $\delta$) range. We employ the technique of sketching to obtain these results.
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Our TESTING ! AND 2ork involves overcoing the exponential computation time that it takes to compute world existence for a given tuple $\tup$ by estimating in polynomial time the same quantity within an ($\epsilon$, $\delta$) range. We employ the technique of sketching to obtain these results.
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The setting on which our work applies is as follows. First, we are given a database $\db$. We limit ourselves to positive queries. A positive query $\query$ is a query composed from the following set of operators: selection ($\selection$), projection ($\projection$), join/cross-product ($\join$), and union ($\union$), abbreviated as SPJU. Given database $\db$, a query Q performs its operations upon all the rows belonging to the tables it involves.
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