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DOCUMENTATION CENTER SEARCH
New to
Mathematica
?
Find your learning path
»
Mathematica
>
Core Language
>
List Manipulation
>
Rearranging & Restructuring Lists
>
Intersection (
)
>
Mathematica
>
Data Manipulation
>
Handling Arrays of Data
>
Rearranging & Restructuring Lists
>
Intersection (
)
>
Mathematica
>
Data Manipulation
>
Image Processing & Analysis
>
Basic Image Manipulation
>
Handling Arrays of Data
>
Rearranging & Restructuring Lists
>
Intersection (
)
>
BUILT-IN MATHEMATICA SYMBOL
Lists as Sets
Tutorials »
|
Union
Complement
And
BitAnd
SequenceAlignment
See Also »
|
Discrete & Integer Data
Discrete Mathematics
Math & Counting Operations on Lists
Rearranging & Restructuring Lists
More About »
Intersection
Intersection
gives a sorted list of the elements common to all the
.
MORE INFORMATION
If the
are considered as sets,
Intersection
gives their intersection.
Intersection
can be input in
StandardForm
and
InputForm
as
. The character
can be entered as
Esc
inter
Esc
or
\[Intersection]
.
The
must have the same head, but it need not be
List
.
Intersection
[
list
1
,
...
,
SameTest
->
test
]
applies
test
to each pair of elements in the
to determine whether they should be considered the same.
Intersection
can be entered in
StandardForm
and
InputForm
as
or
.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Find elements common to all the lists given:
Enter using
Esc
inter
Esc
:
Find elements common to all the lists given:
In[1]:=
Out[1]=
Enter using
Esc
inter
Esc
:
In[1]:=
Out[1]=
Generalizations & Extensions
(1)
Intersection
works with any head, not just
List
:
Applications
(1)
Find divisors common to 45 and 78:
Properties & Relations
(1)
If there is no intersection, the result is
:
SEE ALSO
Union
Complement
And
BitAnd
SequenceAlignment
TUTORIALS
Lists as Sets
MORE ABOUT
Discrete & Integer Data
Discrete Mathematics
Math & Counting Operations on Lists
Rearranging & Restructuring Lists
RELATED LINKS
NKS|Online
(
A New Kind of Science
)
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