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% File: $Id$
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% Defines various relational algebra symbols.
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\NeedsTeXFormat{LaTeX2e}[2001/06/01]
\ProvidesPackage{relalg}[2004/07/19 Relational algebra notation]

\RequirePackage{latexsym}
\RequirePackage{graphics}
% Graphics is needed so that we can scale the size of a couple of operators.


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% BASIC OPERATORS
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% select or restrict operator
\newcommand{\Select}{\ensuremath{\sigma}}
\newcommand{\Restrict}{\ensuremath{\sigma}}

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% project operator
\newcommand{\Project}{\ensuremath{\pi}}

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% set union operator
\newcommand{\Union}{\ensuremath{\cup}}

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% set difference operator
\newcommand{\Difference}{\ensuremath{-}}

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% cartesian product operator
\newcommand{\Product}{\ensuremath{\times}}

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% rename operator
\newcommand{\Rename}{\ensuremath{\rho}}


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% ADDITIONAL OPERATORS
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% set intersection operator
\newcommand{\Intersection}{\ensuremath{\cap}}
\newcommand{\Intersect}{\ensuremath{\cap}}

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% natural join operator
\newcommand{\NaturalJoin}{\ensuremath{\Join}}
\newcommand{\NatJoin}{\ensuremath{\Join}}
\newcommand{\NJoin}{\ensuremath{\Join}}

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% division operators
\newcommand{\Divide}{\ensuremath{/}}
\newcommand{\AltDivide}{\ensuremath{\div}}

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% assignment operator
\newcommand{\Assign}{\ensuremath{\leftarrow}}


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% EXTENDED OPERATORS
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% aggregate functions
\newcommand{\Sum}[1]{\ensuremath{\mathcal{G}_{\mathbf{\mathrm{sum}}(#1)}}}
\newcommand{\Avg}[1]{\ensuremath{\mathcal{G}_{\mathbf{\mathrm{avg}}(#1)}}}
\newcommand{\Min}[1]{\ensuremath{\mathcal{G}_{\mathbf{\mathrm{min}}(#1)}}}
\newcommand{\Max}[1]{\ensuremath{\mathcal{G}_{\mathbf{\mathrm{max}}(#1)}}}
\newcommand{\Count}[1]{\ensuremath{\mathcal{G}_{\mathbf{\mathrm{count}}(#1)}}}

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% outer join operators
% Note: can't use \ensuremath in these because it screws up the spacing.
% The $ are OK though because they're used inside hboxes anyway.
\newcommand{\LeftOuterJoin}{\scalebox{0.5}[1]{$\sqsupset$}\mkern-2.5mu\lower0.1em\hbox{$\Join$}}
\newcommand{\leftOuterJoin}{\LeftOuterJoin}
\newcommand{\LOuterJoin}{\LeftOuterJoin}
\newcommand{\LeftOuter}{\LeftOuterJoin}
\newcommand{\LOJ}{\LeftOuterJoin}

\newcommand{\RightOuterJoin}{\lower0.1em\hbox{$\Join$}\mkern-2.5mu\scalebox{0.5}[1]{$\sqsubset$}}
\newcommand{\rightOuterJoin}{\RightOuterJoin}
\newcommand{\ROuterJoin}{\RightOuterJoin}
\newcommand{\RightOuter}{\RightOuterJoin}
\newcommand{\ROJ}{\RightOuterJoin}

\newcommand{\FullOuterJoin}{\scalebox{0.5}[1]{$\sqsupset$}\mkern-2.5mu\lower0.1em\hbox{$\Join$}\mkern-2.5mu\scalebox{0.5}[1]{$\sqsubset$}}
\newcommand{\fullOuterJoin}{\FullOuterJoin}
\newcommand{\FOuterJoin}{\FullOuterJoin}
\newcommand{\FullOuter}{\FullOuterJoin}
\newcommand{\FOJ}{\FullOuterJoin}


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% MISCELLANEOUS
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% logical operators
% \And appears to conflict with beamer? (unconfirmed)
\newcommand{\LogicalAnd}{\ensuremath{\wedge}}
\newcommand{\LogAnd}{\ensuremath{\wedge}}

\newcommand{\LogicalOr}{\ensuremath{\vee}}
\newcommand{\LogOr}{\ensuremath{\vee}}

\newcommand{\LogicalNot}{\ensuremath{\neg}}
\newcommand{\LogNot}{\ensuremath{\neg}}

\endinput

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% $Log$
% Revision 1.2  2004/07/19 00:26:19  nstanger
% - Renamed logical operators to \LogicalXXX because of conflict with \And, possibly defined in beamer?
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