Through

Through[p[f1,f2][x]]

gives p[f1[x],f2[x]].

Through[expr,h]

performs the transformation wherever h occurs in the head of expr.

Details

  • Through distributes operators that appear inside the heads of expressions.

Examples

open allclose all

Basic Examples  (2)

Apply all functions in a list to the same argument:

In[1]:=
Click for copyable input
Out[1]=

Apply a sum of functions by forming the sum of the individual applications:

In[1]:=
Click for copyable input
Out[1]=

Scope  (2)

Applications  (2)

Properties & Relations  (2)

See Also

Operate  MapThread

Tutorials

Introduced in 1988
(1.0)