       Re: Symbolic tensor analysis in Mathematica 8

• To: mathgroup at smc.vnet.net
• Subject: [mg125543] Re: Symbolic tensor analysis in Mathematica 8
• From: fabrizio <sgrignuoli at science.unitn.it>
• Date: Sun, 18 Mar 2012 02:43:12 -0500 (EST)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com

```Hy,
first question,
Dim = 3;
V = Table[v[i], {i, 1, Dim}]
in this way you creates a vector with v,v and v as components.
second question:
In this way you can, for example, also define it with a loop for:
For[i=1,i<=Dim,i++,
V[[i]]= "what you want"
];
To tell to mathematica that for example v is a function of x,y,z you can use two way.
I suggest to use this one.
v=x^2+y^2+z^2 (for example);

I wrote for you this very simply example:

Dim = 3;
V = Table[v[i], {i, 1, Dim}];
V[] = x^2 + y^2 + z^2;
V[] = x^3 + 4 y^3 - z^2;
V[] = x - y + z;
D[V, x, y, z]

the last line evaluates the total derivative of the vector V .If you want the partial derivative
D[V, x] respect to x
D[V,y] respect to y
D[V, z] respect to z

Fabrizio

```

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