MapAll[f, expr] or f //@ expr applies f to every subexpression in expr.

You can think of an expression like f[x] as being formed by applying an operator f to the expression x. You can think of an expression like f[g[x]] as the result of composing ...

If you have a list of elements, it is often important to be able to apply a function separately to each of the elements. You can do this in Mathematica using Map. This ...

Mathematica's unified symbolic architecture allows immediate generalization of part-oriented list operations to arbitrary expressions—supporting operations both on individual ...

Heads is an option for functions which use level specifications that specifies whether heads of expressions should be included.

Long viewed as an important theoretical idea, functional programming finally became truly convenient and practical with the introduction of Mathematica's symbolic language. ...

expr /. rules applies a rule or list of rules in an attempt to transform each subpart of an expression expr.

Map[f, expr] or f /@ expr applies f to each element on the first level in expr. Map[f, expr, levelspec] applies f to parts of expr specified by levelspec.

Sow[e] specifies that e should be collected by the nearest enclosing Reap. Sow[e, tag] specifies that e should be collected by the nearest enclosing Reap whose pattern ...

Reap[expr] gives the value of expr together with all expressions to which Sow has been applied during its evaluation. Expressions sown using Sow[e] or Sow[e, tag_i] with ...