I guess I should have asked this as well; is it considered bad to
write diff() and replace the current Sympy diff() within my code? Or
is that OK?

-Gilbert



On Jun 3, 6:38 pm, Gilbert gede <gilbertg...@gmail.com> wrote:
> Yeah, I had read some of them.  I had already thought of writing my
> own Diff method or something and do substitution with it, but was
> hoping to have the functionality I want work like standard SymPy
> operations.  That's what I've been trying to do with my PyDy classes;
> make them work more like you would expect other SymPy objects to.
> I have read through Derivative() and diff(), and couldn't really find
> a way to make them do what I want (like I said about my symbol
> extension no longer having its methods called once it is inside a
> SymPy add or mul).  I guess what I was hoping for was input on whether
> I could make Derivative do what I want with my extended Symbol, as I
> couldn't really see how.  But if writing my own Diff method is the
> only option, there's not much I can do then.
>
> Thanks,
> -Gilbert
>
> On Jun 3, 5:53 pm, "Aaron S. Meurer" <asmeu...@gmail.com> wrote:
>
>
>
>
>
>
>
> > This has actually been discussed quite a bit before (a lot of people want 
> > to use Lagrangians).  You can search the mailing list.  From what I've 
> > seen, you will either have to write your own custom diff routine or do 
> > clever substitution of functions and derivatives with symbols.  I don't 
> > think I've ever seen anyone suggest extending Symbol to hold a time 
> > derivative, which is essentially just a more formal way of doing the 
> > substation method.  It might work.
>
> > Aaron Meurer
>
> > On Jun 3, 2011, at 6:05 PM, Gilbert Gede wrote:
>
> > > Hi,
> > > I was trying to implement some functionality for PyDy for this year's 
> > > GSoC, and was looking for some advice.  
> > > In dynamics problems, you usually have time-varying quantities, like 
> > > generalized coordinates, speeds, and accelerations.  Often, you want to 
> > > take the partial derivative of an expression with respect to the time 
> > > derivative of one of these quantities.  This come up when using 
> > > Lagrange's Method (or Kane's Method).  It's described to some degree 
> > > here:  
> > >http://en.wikipedia.org/wiki/Lagrangian_mechanics
> > >https://gist.github.com/1005937
> > > In Lagrange's Method, you end up taking the partial derivative of the 
> > > energy with respect to the time derivative of a generalized coordinate.  
> > > I'm trying to figure out a way to make this work in PyDy/SymPy. 
> > > Derivative won't take in anything but a Symbol.  
> > > The only idea I have come up with is to extend Symbol and write my own 
> > > .diff() method for it which returns a new symbol representing the time 
> > > differentiation of the original extended Symbol.  Once my new object is 
> > > inside a Mul or Add sympy object, then my .diff() method is no longer 
> > > called.  
> > > Can anyone give some insight into how I could get this desired behavior, 
> > > taking the derivative of an expression wrt a time-differentiated symbol, 
> > > to work in a way consistent with existing SymPy behavior?  Thanks.  
>
> > > -Gilbert
>
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