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Applying Functions to Lists
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Built-in
Mathematica
Symbol
Applying Functions to Parts of Expressions
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Applying Functions to Lists
Expressions
Functional Programming
Handling Arrays of Data
Language Overview
List Manipulation
Looping Constructs
Parts of Expressions
Parts of Matrices
Mathematica Syntax
More About »
Map
(/@)
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
.
MORE INFORMATION
Map
uses standard level specifications:
n
levels 1 through
n
Infinity
levels 1 through
Infinity
{
n
}
level
n
only
{
n
1
,
n
2
}
levels
n
1
through
n
2
The default value for
levelspec
in
Map
is
{1}
.
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 -1 consists of numbers, symbols and other objects that do not have subparts.
Level 0 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
.
EXAMPLES
CLOSE ALL
Basic Examples
(4)
In[1]:=
Out[1]=
Alternative input form:
In[1]:=
Out[1]=
Use explicit pure functions:
In[1]:=
Out[1]=
In[2]:=
Out[2]=
Map at top level:
In[1]:=
Out[1]=
Map at level
2
:
In[2]:=
Out[2]=
Map at levels 1 and 2:
In[3]:=
Out[3]=
Scope
(6)
Generalizations & Extensions
(4)
Options
(1)
Applications
(3)
Properties & Relations
(5)
Possible Issues
(1)
Neat Examples
(1)
SEE ALSO
Apply
Scan
MapAll
MapAt
MapIndexed
MapThread
Level
Operate
Thread
TUTORIALS
Applying Functions to Parts of Expressions
MORE ABOUT
Applying Functions to Lists
Expressions
Functional Programming
Handling Arrays of Data
Language Overview
List Manipulation
Looping Constructs
Parts of Expressions
Parts of Matrices
Mathematica Syntax
RELATED LINKS
NKS|Online
(
A New Kind of Science
)
New in 1
© 2008 Wolfram Research, Inc.
EXAMPLES
Basic Examples 
Scope 