Lists as Sets

Mathematica usually keeps the elements of a list in exactly the order you originally entered them. If you want to treat a Mathematica list like a mathematical set, however, you may want to ignore the order of elements in the list.

Union[list1,list2,...]give a list of the distinct elements in the
Intersection[list1,list2,...]give a list of the elements that are common to all the
Complement[universal,list1,...]give a list of the elements that are in universal, but not in any of the
Subsets[list]give a list of all subsets of the elements in list
DeleteDuplicates[list]delete all duplicates from list

Set theoretical functions.

Union gives the elements that occur in any of the lists.
In[1]:=
Click for copyable input
Out[1]=
Intersection gives only elements that occur in all the lists.
In[2]:=
Click for copyable input
Out[2]=
Complement gives elements that occur in the first list, but not in any of the others.
In[3]:=
Click for copyable input
Out[3]=
This gives all the subsets of the list.
In[4]:=
Click for copyable input
Out[4]=
DeleteDuplicates deletes all duplicate elements from the list.
In[5]:=
Click for copyable input
Out[5]=
New to Mathematica? Find your learning path »
Have a question? Ask support »