       Re: Symbolic tensor analysis in Mathematica 8

• To: mathgroup at smc.vnet.net
• Subject: [mg125515] Re: Symbolic tensor analysis in Mathematica 8
• Date: Sat, 17 Mar 2012 02:48:41 -0500 (EST)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com
• References: <201203161133.GAA26121@smc.vnet.net>

```Bring in the notation package by typing
<< Notation`

This will bring up the Notation Palette.
Choose Symbolize from the palette and put your subscripted v1
as the argument.  Mathematica will consider this as distinct from v
and will not recurse.

For functions, type
vx = f[x, y, z]; vy = g[x, y, z]; vz = h[x, y, z];

Derivative is
D[{vx, vy, vz}, x]

Cheers,

-----Original Message-----
From: Misery Slave
Sent: Friday, March 16, 2012 4:33 AM
To: mathgroup at smc.vnet.net
Subject: [mg125515] Symbolic tensor analysis in Mathematica 8

Hello,

Recently I begun to use Mathematica. For now I'm trying to learn to
use it properly.
The first tasks I would like to play with, are vector and tensor
analysis.
The question is:
For simplicity I would like to have vector definition:

v={v1,v2,v3} or v={vx,vy,vz}

where 1,2,3 or x,y,z are subscripts or superscripts. How do I achieve
that? When I write something like that I get the recursion which I do
not want. And the other thing is: how do I tell Mathematica that for
example vx is a function of x,y,z to get something like:

vx=f(x,y,z), vy=g(x,y,z), vz=h(x,y,z)

to describe vector field. But during derivations I may not know
formulas for f,g,h. But when counting the derivative I would like to
get

Dv/dx={f'(x,y,z),g'(x,y,z),h'(x,y,z)}
and so on.