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MathGroup Archive 2007

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Re: Curvature calculations

  • To: mathgroup at smc.vnet.net
  • Subject: [mg76359] Re: Curvature calculations
  • From: Narasimham <mathma18 at hotmail.com>
  • Date: Sun, 20 May 2007 02:33:36 -0400 (EDT)
  • References: <f2eltq$2mt$1@smc.vnet.net>

On May 16, 3:20 pm, laxm... at gmail.com wrote:
> Hello
> I am using version 5.2.0.0.
> Is there some function that calculates curvature in Mathematica?
> For example, there is a function called ArcLengthFactor illustrated in
> the help files as:
>
> << Calculus`VectorAnalysis`
> helix = {Cos[t], Sin[t], t}
> ArcLengthFactor[param, t, Cartesian] //Simplify
>
> The ArcLengthFactor gives the length of the curve, so it makes me
> think that there may be other functions that calculate quantities such as
> curvature.

> Thanks!
> Sachin

Suggest for a great start in differential geometry using
Mathematica :

http://www.math.ucla.edu/~bon/

It helps to check closely what's inside ready made commands.

Narasimham



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