On Mon, Oct 31, 2011 at 6:37 PM, David Joyner <[email protected]> wrote:
> On Mon, Oct 31, 2011 at 7:31 PM, Aaron Meurer <[email protected]> wrote:
>> Comments:
>>
>> - "as its beautiful logo"  should this be "as is its beautiful logo"?
>
> fixed
>
>>
>> - "However, the most active are..." Maybe rather say "However, the
>> most active as of October 2011 are..." to make it clear that this is a
>> snapshot into this particular point in time.  For example, over the
>> summer a different set of developers were most active (i.e., these
>> people plus the GSoC students).
>
> fixed
>
>>
>> - "For example, the following simple Python commands were run from the
>> SymPy command line." I would reword this sentence.  It sounds like
>> SymPy has it's own interpreter, and I think it especially would to a
>> user of any other computer algebra system.  I'm not sure what the best
>> wording is, but make it clear that SymPy just runs inside a normal
>> Python interpreter, such as the one that comes with Python or IPython.
>> Maybe it would be best to just include a short paragraph about the
>> isympy script, which just paraphrases the docstring from that file.
>
> revised, as suggested
>
>>
>> "Surprisingly, it seems Maxima cannot do this at the present time." If
>> I remember correctly, Maxima took the lazy route and only implemented
>> second order differential equations (or maybe they can also do higher
>> order but only if they are homogeneous, I can't remember).  The
>> general non-homogeneous case requires either undetermined coefficients
>> (if the non-homogeneous term has the correct form), or, in the general
>> case, the nth order version of variation of parameters, which is not
>> too difficult to implement if you have strong integration routines and
>> knowledge of linear algebra (Cramer's rule), but it seems is so rarely
>> actually taught that I only found two resources anywhere on the
>> internet that dealt with it in the nth case out of the thousands that
>> dealt with the 2nd order case, and neither was very good. I discussed
>> this on my blog back when I implemented it
>> (http://asmeurersympy.wordpress.com/2009/08/01/variation-of-parameters-and-more/).
>> In fact, at the time, I couldn't find another open source system that
>> implemented this, though I would definitely try to verify this fact
>> before putting it in the paper.
>>
>
> I made revisions but I think Axiom has more functionality that Maxima
> in this area:
> http://www.axiom-developer.org/axiom-website/hyperdoc/equdifferentiallinear.xhtml
>

Ah, that's not surprising.  Axiom probably implements something like
http://www-sop.inria.fr/cafe/Manuel.Bronstein/sumit/bernina_demo.html.

Aaron Meurer

>
>> "On the
>> other hand, perhaps it is not surprising that SymPy is relatively strong in
>> the area of differential equations since many or the developers come from
>> physics and computational mathematics communities." Actually it's
>> mainly because of my GSoC project :)
>
>
> Good point.  I changed that.
>
> New version posted to the usual place:-)
>
> Thanks Aaron!
>
>>
>> Aaron Meurer
>>
>> On Mon, Oct 31, 2011 at 4:33 PM, David Joyner <[email protected]> wrote:
>>> On Sun, Oct 30, 2011 at 12:48 PM, Vladimir Perić <[email protected]> 
>>> wrote:
>>>
>>> ...
>>>
>>>>
>>>> I also think the "Capabilities" section is a bit.. short. You took it
>>>> from the website, I assume? That homepage hasn't been updated in a
>>>> long time (and writing that list is even one task for Google Code-In).
>>>> At the very least, I think you should give more mention to the physics
>>>> and quantum modules, which is a real advantage SymPy has over other
>>>> CAS systems.
>>>
>>>
>>> After a few emails from Brian Granger (thanks Brian!) I have
>>> created a new subsection on quanum physics. It is very sketchy
>>> but hopefully has enough for interested readers to pursue
>>> further leads.
>>>
>>> Latest version is at
>>> http://boxen.math.washington.edu/home/wdj/sigsam/sympy/oscas-sympy.pdf
>>> (and sources are in that directory too).
>>>
>>> BTW, if anyone wants to post this to github, that is fine with me.
>>> However, I know
>>> zip about git:-)
>>>
>>>
>>> Thanks to all of you for your great help!
>>>
>>>>
>>>
>>> ...
>>>
>>>> --
>>>> Vladimir Perić
>>>>
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>>>>
>>>
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>>
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