Add some real descriptions to the multiargument aggregate functions rather
than just showing the incomprehensible formulas.
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<!-- $PostgreSQL: pgsql/doc/src/sgml/func.sgml,v 1.344 2006/10/23 18:10:31 petere Exp $ -->
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<!-- $PostgreSQL: pgsql/doc/src/sgml/func.sgml,v 1.345 2006/10/23 19:57:37 petere Exp $ -->
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<chapter id="functions">
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<title>Functions and Operators</title>
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@ -8102,17 +8102,7 @@ SELECT count(*) FROM sometable;
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<entry>
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<type>double precision</type>
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</entry>
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<entry>sqrt((<replaceable class="parameter">N</replaceable> *
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sum(<replaceable class="parameter">X</replaceable>*<replaceable
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class="parameter">Y</replaceable>) - sum(<replaceable
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class="parameter">X</replaceable>) * sum(<replaceable
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class="parameter">Y</replaceable>))^2 / ((<replaceable
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class="parameter">N</replaceable> * sum(<replaceable
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class="parameter">X</replaceable>^2) - sum(<replaceable
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class="parameter">X</replaceable>)^2) * (<replaceable
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class="parameter">N</replaceable> * sum(<replaceable
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class="parameter">Y</replaceable>^2) - sum(<replaceable
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class="parameter">Y</replaceable>)^2)))</entry>
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<entry>correlation coefficient</entry>
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</row>
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<row>
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@ -8129,12 +8119,7 @@ SELECT count(*) FROM sometable;
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<entry>
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<type>double precision</type>
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</entry>
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<entry>(sum(<replaceable class="parameter">X</replaceable>*<replaceable
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class="parameter">Y</replaceable>) - sum(<replaceable
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class="parameter">X</replaceable>) * sum(<replaceable
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class="parameter">Y</replaceable>) / <replaceable
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class="parameter">N</replaceable>) / <replaceable
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class="parameter">N</replaceable></entry>
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<entry>population covariance</entry>
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</row>
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<row>
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@ -8151,12 +8136,7 @@ SELECT count(*) FROM sometable;
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<entry>
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<type>double precision</type>
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</entry>
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<entry>(sum(<replaceable class="parameter">X</replaceable>*<replaceable
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class="parameter">Y</replaceable>) - sum(<replaceable
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class="parameter">X</replaceable>) * sum(<replaceable
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class="parameter">Y</replaceable>) / <replaceable
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class="parameter">N</replaceable>) / (<replaceable
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class="parameter">N</replaceable> - 1)</entry>
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<entry>sample covariance</entry>
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</row>
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<row>
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@ -8169,8 +8149,8 @@ SELECT count(*) FROM sometable;
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<entry>
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<type>double precision</type>
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</entry>
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<entry>sum(<replaceable class="parameter">X</replaceable>) /
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<replaceable class="parameter">N</replaceable></entry>
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<entry>average of the independent variable
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(<literal>sum(<replaceable class="parameter">X</replaceable>)/<replaceable class="parameter">N</replaceable></literal>)</entry>
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</row>
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<row>
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@ -8183,8 +8163,8 @@ SELECT count(*) FROM sometable;
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<entry>
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<type>double precision</type>
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</entry>
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<entry>sum(<replaceable class="parameter">Y</replaceable>) /
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<replaceable class="parameter">N</replaceable></entry>
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<entry>average of the dependent variable
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(<literal>sum(<replaceable class="parameter">Y</replaceable>)/<replaceable class="parameter">N</replaceable></literal>)</entry>
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</row>
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<row>
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@ -8197,7 +8177,7 @@ SELECT count(*) FROM sometable;
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<entry>
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<type>bigint</type>
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</entry>
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<entry>number of input rows in which both expressions are non-null</entry>
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<entry>number of input rows in which both expressions are nonnull</entry>
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</row>
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<row>
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@ -8213,14 +8193,10 @@ SELECT count(*) FROM sometable;
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<entry>
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<type>double precision</type>
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</entry>
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<entry>(sum(<replaceable class="parameter">Y</replaceable>) *
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sum(<replaceable class="parameter">X</replaceable>^2) - sum(<replaceable
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class="parameter">X</replaceable>) * sum(<replaceable
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class="parameter">X</replaceable>*<replaceable
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class="parameter">Y</replaceable>)) / (<replaceable
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class="parameter">N</replaceable> * sum(<replaceable
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class="parameter">X</replaceable>^2) - sum(<replaceable
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class="parameter">X</replaceable>)^2)</entry>
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<entry>y-intercept of the least-squares-fit linear equation
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determined by the (<replaceable
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class="parameter">X</replaceable>, <replaceable
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class="parameter">Y</replaceable>) pairs</entry>
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</row>
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<row>
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@ -8233,17 +8209,7 @@ SELECT count(*) FROM sometable;
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<entry>
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<type>double precision</type>
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</entry>
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<entry>(<replaceable class="parameter">N</replaceable> *
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sum(<replaceable class="parameter">X</replaceable>*<replaceable
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class="parameter">Y</replaceable>) - sum(<replaceable
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class="parameter">X</replaceable>) * sum(<replaceable
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class="parameter">Y</replaceable>))^2 / ((<replaceable
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class="parameter">N</replaceable> * sum(<replaceable
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class="parameter">X</replaceable>^2) - sum(<replaceable
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class="parameter">X</replaceable>)^2) * (<replaceable
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class="parameter">N</replaceable> * sum(<replaceable
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class="parameter">Y</replaceable>^2) - sum(<replaceable
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class="parameter">Y</replaceable>)^2))</entry>
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<entry>square of the correlation coefficient</entry>
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</row>
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<row>
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@ -8259,14 +8225,9 @@ SELECT count(*) FROM sometable;
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<entry>
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<type>double precision</type>
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</entry>
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<entry>(<replaceable class="parameter">N</replaceable> *
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sum(<replaceable class="parameter">X</replaceable>*<replaceable
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class="parameter">Y</replaceable>) - sum(<replaceable
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class="parameter">X</replaceable>) * sum(<replaceable
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class="parameter">Y</replaceable>)) / (<replaceable
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class="parameter">N</replaceable> * sum(<replaceable
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class="parameter">X</replaceable>^2) - sum(<replaceable
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class="parameter">X</replaceable>)^2)</entry>
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<entry>slope of the least-squares-fit linear equation determined
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by the (<replaceable class="parameter">X</replaceable>,
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<replaceable class="parameter">Y</replaceable>) pairs</entry>
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</row>
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<row>
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@ -8279,9 +8240,11 @@ SELECT count(*) FROM sometable;
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<entry>
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<type>double precision</type>
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</entry>
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<entry>sum(<replaceable class="parameter">X</replaceable>^2) -
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sum(<replaceable class="parameter">X</replaceable>)^2 / <replaceable
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class="parameter">N</replaceable></entry>
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<entry><literal>sum(<replaceable
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class="parameter">X</replaceable>^2) - sum(<replaceable
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class="parameter">X</replaceable>)^2/<replaceable
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class="parameter">N</replaceable></literal> (<quote>sum of
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squares</quote> of the independent variable)</entry>
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</row>
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<row>
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@ -8294,11 +8257,14 @@ SELECT count(*) FROM sometable;
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<entry>
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<type>double precision</type>
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</entry>
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<entry>sum(<replaceable class="parameter">X</replaceable>*<replaceable
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<entry><literal>sum(<replaceable
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class="parameter">X</replaceable>*<replaceable
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class="parameter">Y</replaceable>) - sum(<replaceable
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class="parameter">X</replaceable>) * sum(<replaceable
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class="parameter">Y</replaceable>) / <replaceable
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class="parameter">N</replaceable></entry>
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class="parameter">Y</replaceable>)/<replaceable
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class="parameter">N</replaceable></literal> (<quote>sum of
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products</quote> of independent times dependent
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variable)</entry>
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</row>
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<row>
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@ -8311,9 +8277,11 @@ SELECT count(*) FROM sometable;
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<entry>
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<type>double precision</type>
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</entry>
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<entry>sum(<replaceable class="parameter">Y</replaceable>^2) -
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sum(<replaceable class="parameter">Y</replaceable>)^2 / <replaceable
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class="parameter">N</replaceable></entry>
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<entry><literal>sum(<replaceable
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class="parameter">Y</replaceable>^2) - sum(<replaceable
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class="parameter">Y</replaceable>)^2/<replaceable
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class="parameter">N</replaceable></literal> (<quote>sum of
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squares</quote> of the dependent variable)</entry>
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</row>
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<row>
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