The 
-norm is a vector
norm defined for a vector
![x=[x_1; x_2; |; x_n],](/images/equations/L1-Norm/NumberedEquation1.svg) |
with complex entries by
 |
For real vectors, the set 
in two dimensions is a filled square
with vertices 
and 
, appearing as a diamond. In three dimensions, it is
a filled regular octahedron with vertices
on the coordinate axes.
The 
-norm 
of a vector 
is implemented in the Wolfram
Language as Norm[x,
1].
