Q: Symbolic manipulation with Mathematica

• Subject: [mg3024] Q: Symbolic manipulation with Mathematica
• From: sergio at scisun.sci.ccny.cuny.edu (Sergio Rojas)
• Date: 24 Jan 1996 09:54:12 -0600
• Approved: usenet@wri.com
• Distribution: local
• Newsgroups: wri.mathgroup
• Organization: City College Of New York - Science
• Sender: mj at wri.com

```
Hi fellows,

I would like to know whether is possible to do the
following with Mathematica:

In[15]:= test = f[x] + x*D[f[x],x]

Out[15]= f[x] + x f'[x]

In[16]:= test /. f[x]->f[x,y]

Out[16]= f[x, y] + x f'[x]

However, I would like to get something like:

f[x,y] + x*D[f[x,y],x]

which then Mathematica can write in the form:

(1,0)
Out[17]= f[x, y] + x f     [x, y]

Other manipulation I am trying to do is as follows:

In[18]:= y = x/e

x
Out[18]= -
e

In[19]:= test = f[x,y] + x*D[f[x,y],x]

(0,1)    x
f     [x, -]
x                 e     (1,0)    x
Out[19]= f[x, -] + x (------------ + f     [x, -])
e            e                   e

If there any way to get this ecuation in the form:

(0,1)
f     [x, y]    (1,0)
f[x, y] + x (------------ + f     [x, y])
e

d f[x,y]
Finally, is there any way to use the notation: --
dx

(1,0)
instead of    f     [x,y]

One more thing, is there any special symbol for the Laplacian
and Gradient operators in Mathematica.?

I'll apreciate any suggestion.

rojas

E-mail: sergio at scisun.sci.ccny.cuny.edu

```

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