On Mon, Mar 20, 2017 at 10:01 PM, rjf <fate...@gmail.com> wrote:
> People have been working on computer programs for integration since about
> 1961.  There are
> at least 8 PhD theses on the topic.
>
> If you think there is "low hanging fruit" like   writing a better
> simplification program, or
> using binary search instead of pattern matching, or something else you just
> thought up,
> like running the differentiation program backwards  ---
> there is a high probability that you are mistaken.

>
> Of course you might be right, and all that stuff over the last 55 years is
> irrelevant,
> and all you have to do is write some neat python program.

He meant "low hanging fruit" only in the sense of a making a specific
computer program slightly more useful, not in the sense of *research*.
   They are completely different things.

William

>
> Check out the definition of "irony"
>
>
> On Monday, March 20, 2017 at 2:27:46 AM UTC-7, Ralf Stephan wrote:
>>>
>>> ...In principle there can be fast progress if the first version only
>>> implements general fallback rules like the mentioned 2F1 solutions. Many
>>> Rubi rules only specialize 2F1 solutions, a sort of
>>> simplify_hypergeometric() if you want. But then, with only the
>>> hypergeometric (H) rules the output is ugly as well. You'll get more
>>> integrals solved than usual algorithms, however, so this low-hanging fruit
>>> would have a place *after eg Maxima returns an unsolved integral.
>>
>>
>> https://trac.sagemath.org/ticket/22650
>
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-- 
William (http://wstein.org)

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