       Q: Symbolic manipulation with Mathematica

• To: mathgroup at smc.vnet.net
• Subject: [mg3024] Q: Symbolic manipulation with Mathematica
• From: sergio at scisun.sci.ccny.cuny.edu (Sergio Rojas)
• Date: Wed, 24 Jan 1996 03:33:16 -0500
• Organization: City College Of New York - Science

``` Hi fellows,

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

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

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

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

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

Other manipulation I am trying to do is as follows:

In:= y = x/e

x
Out= -
e

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

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