MATHEMATICA FEATURED EXAMPLE

Vector Laplacian Identity

    
The Laplacian of a vector field in -dimensional flat space can be computed via the formula . This formula is well known in three dimensions:
In[1]:=
Click for copyable input
Out[1]=
The following creates a table that automates the verification of the identity in different dimensions and coordinate systems:
In[2]:=
Click for copyable input
In[3]:=
Click for copyable input
New to Mathematica? Find your learning path »
Have a question? Ask support »