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Foreach

loop command
Syntax

Foreach X In L Do C EndForeach

where X is a dummy variable, L is a list, and C is a sequence of commands.


Description
The dummy variable X is assigned the value of each component of L in turn. After each assignment the command sequence C is executed. Note: don't forget to capitalize In.

Example
  Foreach N In 1..10 Do  -- Note: 1..10 gives the list [1,...,10].
    Print N^2, " ";
  EndForeach;
1 4 9 16 25 36 49 64 81 100
-------------------------------
  Use R ::= QQ[x,y,z];
  F := x^2y + 3y^2z - z^3;
  J := [Der(F, X) | X In Indets()];  -- the Jacobian for F
  J;
[2xy, x^2 + 6yz, 3y^2 - 3z^2]
-------------------------------
  Foreach X In J Do -- square each component of the Jacobian
    PrintLn X^2;
  EndForeach;
4x^2y^2
x^4 + 12x^2yz + 36y^2z^2
9y^4 - 18y^2z^2 + 9z^4

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See Also