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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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