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THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
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»
Mathematica
>
Core Language
>
Expressions
>
Expression Structure
>
Level
>
BUILT-IN MATHEMATICA SYMBOL
Expressions as Trees
Levels in Expressions
Tutorials »
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Expression Structure
More About »
Level
Level
gives a list of all subexpressions of
expr
on levels specified by
levelspec
.
Level
applies
f
to the sequence of subexpressions.
MORE INFORMATION
Level
uses standard level specifications:
n
levels 1 through
Infinity
levels 1 through
Infinity
{
n
}
level
only
{
n
1
,
n
2
}
levels
through
Level
gives a list of all "atomic" objects in
expr
.
A positive level
consists of all parts of
expr
specified by
indices.
A negative level
consists of all parts of
expr
with depth
.
Level 0 corresponds to the whole expression.
With the option setting
Heads
->
True
,
Level
includes heads of expressions, and their parts.
Level
traverses expressions in depth-first order, so that the subexpressions in the final list are ordered lexicographically by their indices.
EXAMPLES
CLOSE ALL
Basic Examples
(3)
Give all parts at level -1:
Give all parts down to level 2:
Give all parts at levels 0 through infinity:
Give all parts at level -1:
In[1]:=
Out[1]=
Give all parts down to level 2:
In[1]:=
Out[1]=
Give all parts at levels 0 through infinity:
In[1]:=
Out[1]=
Generalizations & Extensions
(5)
Down successive numbers of levels:
Negative levels:
Ranges of levels:
Use different heads at each level:
Including heads:
Applications
(1)
Find the leaf elements in an expression:
Include heads:
Find unique leaf expressions:
Properties & Relations
(1)
Level
always lists parts in the lexicographic order of their indices:
Possible Issues
(1)
Level
by default starts at level 1, so it does not include the whole expression:
SEE ALSO
Apply
Map
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Depth
TUTORIALS
Expressions as Trees
Levels in Expressions
MORE ABOUT
Expression Structure
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