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DOCUMENTATION CENTER SEARCH
New to
Mathematica
?
Find your learning path
»
Mathematica
>
Core Language
>
Expressions
>
Expression Structure
>
Length
>
BUILT-IN MATHEMATICA SYMBOL
Controlling the Display of Large Expressions
Vectors and Matrices
Manipulating Expressions like Lists
Tutorials »
|
LeafCount
ByteCount
Depth
StringLength
AtomQ
ComplexityFunction
LengthWhile
See Also »
|
Elements of Lists
Expressions
Expression Structure
Handling Arrays of Data
Language Overview
List Manipulation
Math & Counting Operations on Lists
Memory Measurement & Optimization
Operations on Vectors
Parts of Expressions
More About »
Length
Length
[
expr
]
gives the number of elements in
expr
.
MORE INFORMATION
When
expr
is a
SparseArray
object,
Length
[
expr
]
returns the length of the corresponding ordinary list.
»
Otherwise,
Length
[
expr
]
returns
whenever
AtomQ
[
expr
]
is
True
.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
Find the length of a list:
Find the length of a list:
In[1]:=
Out[1]=
Scope
(2)
Length
works with any head:
Length
[
expr
]
gives the number of elements in the top level of
expr
:
Generalizations & Extensions
(4)
The length of a symbol is 0:
The length of a string is 0:
StringLength
gives the number of characters:
Explicit numbers have length 0:
Length
works on
SparseArray
objects:
Applications
(5)
Find the number of rows in a matrix:
Find the length of each sublist:
Find the number of terms in a polynomial:
Find the number of digits in 1000!:
Get the number of points used to plot a curve:
Properties & Relations
(1)
Length
gives the maximum index that can be used:
Possible Issues
(5)
Length
operates on the
FullForm
of expressions, not their displayed form:
Rational and complex numbers are atoms, so they have length 0:
Numeric expressions are treated like other expressions, not like explicit numbers:
Length
counts only "arguments", not parts of heads:
For nonatomic
e
,
Length
[
e
]
is equivalent to
First
[
Dimensions
[
e
]]
:
SEE ALSO
LeafCount
ByteCount
Depth
StringLength
AtomQ
ComplexityFunction
LengthWhile
TUTORIALS
Controlling the Display of Large Expressions
Vectors and Matrices
Manipulating Expressions like Lists
MORE ABOUT
Elements of Lists
Expressions
Expression Structure
Handling Arrays of Data
Language Overview
List Manipulation
Math & Counting Operations on Lists
Memory Measurement & Optimization
Operations on Vectors
Parts of Expressions
RELATED LINKS
NKS|Online
(
A New Kind of Science
)
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