The ApplyToRows command creates Matrix of transformed data.

The number of columns is equal to the number of algebraic expressions. The number of rows is equal to the number of rows in ref.

The value of the $i,j$-th entry is the $j$-th algebraic expression evaluated with the column names substituted for the values in those columns in the $i$-th row of ref.

Time series data in the reference object are treated as their newest value when using this command.

$\mathrm{with}\left(\mathrm{DataSets}\right)\:$

$\mathrm{ref}≔\mathrm{Reference}\left(''Builtin''\,''Country''\right)\left[\left[''Canada''\,''USA''\right],\left[''CO2\; Emissions''\,''Population''\right]\right]$

$\mathrm{ref}≔\left[\begin{array}{ccc}\mathrm{Country\; (Name)}& \mathrm{CO2\; Emissions}& \mathrm{Population}\\ \mathrm{Canada}& \mathrm{TimeSeries\; 537193.498}& \mathrm{TimeSeries\; 39.23}\\ \mathrm{USA}& \mathrm{TimeSeries\; 5254279.285}& \mathrm{TimeSeries\; 340.976}\end{array}\right]$

$\mathrm{ApplyToRows}\left(\mathrm{ref}\left[\left[''Canada''\,''USA''\right]\right]\,\frac{\mathrm{`CO2\; Emissions`}}{1000000\mathrm{Population}}\right)$

$\left[\begin{array}{c}0.01369343609\\ 0.01540952819\end{array}\right]$

$\mathrm{ApplyToRows}\left(\mathrm{ref}\left[\left[''Canada''\,''USA''\right]\right]\,\mathrm{`CO2\; Emissions`}\,\frac{\mathrm{`CO2\; Emissions`}}{\mathrm{Population}}\right)$

$\left[\begin{array}{cc}537193.498& 13693.43609\\ 5.254279285\times {10}^6& 15409.52819\end{array}\right]$

The DataSets[Builtin][Reference][ApplyToRows] command was introduced in Maple 2015.

For more information on Maple 2015 changes, see Updates in Maple 2015.