Re: Q: Symbolic manipulation with Mathematica
- To: mathgroup at smc.vnet.net
- Subject: [mg3034] Re: Q: Symbolic manipulation with Mathematica
- From: BobHanlon at aol.com
- Date: Thu, 25 Jan 1996 03:19:54 -0500
In[1]:=
g[func_] := func + x D[func, x];
In[2]:=
g[f[x]]
Out[2]=
f[x] + x f'[x]
In[3]:=
g[f[x, y]]
Out[3]=
(0,1) x
f [x, -]
x e (1,0) x
f[x, -] + x (------------ + f [x, -])
e e e
In[4]:=
y = x/e;
g[f[x, y]]
Out[5]=
(0,1) x
f [x, -]
x e (1,0) x
f[x, -] + x (------------ + f [x, -])
e e e
In[6]:=
Clear[y];
g[f[x, y /. y -> x/e]] /. x/e -> y
Out[7]=
(0,1)
f [x, y] (1,0)
f[x, y] + x (------------ + f [x, y])
e
Bob Hanlon
bobhanlon at aol.com
> Newsgroups: sci.math.symbolic
> From: sergio at sci.ccny.cuny.edu (Sergio Rojas)
To: mathgroup at smc.vnet.net
> Subject: Q: Symbolic manipulation with Mathematica
> Date: Sun, 21 Jan 1996 21:33:57 GMT
>
> 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 equation in the form:
>
> (0,1)
> f [x, y] (1,0)
> f[x, y] + x (------------ + f [x, y])
> e
>
> d f[x,y] (1,0)
>Finally, is any way to use the notation: -- instead of f [x,y]
> dx
> I'll appreciate any suggestion.
>
> rojas
>
> E-mail: sergio at scisun.sci.ccny.cuny.edu
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