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Stephen Wolfram
SEARCH MATHEMATICA 8 DOCUMENTATION
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE
DOCUMENTATION CENTER
FOR THE LATEST INFORMATION.
Mathematica
>
Core Language
>
Expressions
>
Parts of Expressions
>
Built-in
Mathematica
Symbol
Applying Functions to Parts of Expressions
Working with Operators
Tutorials »
|
Map
ExpandAll
ReplaceAll
MapAt
See Also »
|
Functional Programming
Parts of Expressions
More About »
MapAll
(//@)
MapAll
[
f
,
expr
]
or
f
//@
expr
applies
f
to every subexpression in
expr
.
MORE INFORMATION
MapAll
[
f
,
expr
]
is equivalent to
Map
[
f
,
expr
, {0,
Infinity
}]
.
MapAll
[
f
,
expr
,
Heads
->
True
]
applies
f
to heads in
expr
, and their parts.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Apply
f
to every subpart of an expression:
Alternative input form:
Apply
f
to every subpart of an expression:
In[1]:=
Out[1]=
Alternative input form:
In[1]:=
Out[1]=
Generalizations & Extensions
(3)
MapAll
can be used on expressions with any head:
The function can be mapped onto the heads as well:
MapAll
can be used on sparse arrays:
Options
(1)
Apply
f
to heads as well as ordinary parts of expressions:
Applications
(1)
Show nesting structure of an expression:
Properties & Relations
(3)
Leaves are visited before roots:
MapAll
is equivalent to a specific level specification in
Map
:
MapAll
maps also around the whole expression;
Map
[
f
,
expr
,
]
does not:
SEE ALSO
Map
ExpandAll
ReplaceAll
MapAt
TUTORIALS
Applying Functions to Parts of Expressions
Working with Operators
MORE ABOUT
Functional Programming
Parts of Expressions
New in 1