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BUILT-IN MATHEMATICA SYMBOL
Map 
Map[f, expr] or 
applies f to each element on the first level in expr.
Map[f, expr, levelspec]
applies f to parts of expr specified by levelspec.
Details and Options
- Map uses standard level specifications:
-
n levels 
through nInfinity levels 
through Infinity{n} level n only {n1,n2} levels 
through 
- The default value for levelspec in Map is
. - A positive level n consists of all parts of expr specified by n indices.
- A negative level -n consists of all parts of expr with depth n.
- Level
consists of numbers, symbols, and other objects that do not have subparts. - Level
corresponds to the whole expression. - With the option setting Heads->True, Map includes heads of expressions and their parts.
- Map always effectively constructs a complete new expression and then evaluates it.
- If expr is a SparseArray object, Map[f, expr] applies f to the values or subarrays that appear in expr.
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