paper for vldb07 added
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vldb07/terminology.tex
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vldb07/terminology.tex
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% Time-stamp: <Sunday 29 Jan 2006 11:55:42pm EST yoshi@flare>
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\vspace{-3mm}
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\section{Notation and terminology}
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\vspace{-2mm}
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\label{sec:notation}
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\enlargethispage{2\baselineskip}
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The essential notation and terminology used throughout this paper are as follows.
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\begin{itemize}
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\item $U$: key universe. $|U| = u$.
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\item $S$: actual static key set. $S \subset U$, $|S| = n \ll u$.
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\item $h: U \to M$ is a hash function that maps keys from a universe $U$ into
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a given range $M = \{0,1,\dots,m-1\}$ of integer numbers.
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\item $h$ is a perfect hash function if it is one-to-one on~$S$, i.e., if
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$h(k_1) \not = h(k_2)$ for all $k_1 \not = k_2$ from $S$.
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\item $h$ is a minimal perfect hash function (MPHF) if it is one-to-one on~$S$
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and $n=m$.
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\end{itemize}
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