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Re: Math programme with animation of sine eqs

Subject: Re: Math programme with animation of sine eqs
From:
Date: 6 Apr 2006 13:01:13 -0700
Newsgroups: sci.math
Andreas Goebel wrote:
> >
> >
> > It's just a plucked violin string, that's all.
> Hi, interesting, I am a musician myself.
>
> Now that at last I know what you are doing I can tell you that
> - you should set the beginning of the string to the origin. This is done
> by right-clicking on LOCUS2 and setting startx to 0
> - you should accellerate the process a bit. This can be done by
> double-clicking on the object a (left in the object list) and changing
> Pa*V1 to Pa*V1*15.


Thanks once again.


>
> Of course plucking a violin like this is not realistic. And even if you
> pluck, you do not pluck in the middle. The instrument coming closest to
> this very sharp edge is the virginal, I think, but here also the pluck
> is not in the middle.
>
> Could you provide me functions for
>
> - the violin starting with a sine-wave, not with a piecewise linear function
> - the violin starting with an additional knot in the middle to show
> flageolet
>
> This would be nice to have for my teaching.


I'm studying partial differential equations and very much a beginner,
I'm afraid. I wouldn't feel confident enough to help you here. Sorry.


>
> Oh: And if someone is interested, the problem of the vibrating string
> was very inspiring for the development of math. Euler and d'Alembert
> were struggling about this problem and Euler generalized the concept of
> functions on the way - functions used to be analytic expressions, and
> for the vibrating string piecewise linear functions were needed to
> describe the initial form of the string (I am missing the term
> "Anfangbedingungen" here, sorry).


"Initial conditions".

Regards,

Kevin


> 
> Regards,
> 
> Andreas
> > 
> > Kevin
> >


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