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


> "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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