Re: Symbolic tensor analysis in Mathematica 8
- To: mathgroup at smc.vnet.net
- Subject: [mg125515] Re: Symbolic tensor analysis in Mathematica 8
- From: "Dave Snead" <dsnead6 at charter.net>
- 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,
Dave Snead
-----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.
Thanks in advance and
Best regards,
Misery
- References:
- Symbolic tensor analysis in Mathematica 8
- From: Misery Slave <miseryslave@gmail.com>
- Symbolic tensor analysis in Mathematica 8