Re: Second TI-Nspire report

Michael Kuyumcu wrote:
I have published a second report on the TI-Nspire (with a few
comparisons with the hp49g+ as to strengths and weaknesses of
algorithms), focusing on students' and parents' observations and
feedback to working with the handheld calculator. The report is
available (in German) at

http://www.noemanetz.de/folgeseiten/artikel/CIMS-SH_Nspire.html

Regards,
Michael Kuyumcu


Fairly interesting report from what I could understand,
it would be nice to have it translated in English!
On your CAS algorithms remarks, I can give you a few hypothesis
* there is most probably nobody at TI working on improving
the maths algorithms. My guess is that they have
concluded the CAS is good enough for the nspire, and
they are most probably right. Competition will not come
until PC CAS will be widely available on handhelds.
The math soft of the nspire is therefore most probably exactly
the same as the latest TI89/V200 AMS versions, just recompiled
(with a few improvements in the non math areas).
* Points 1, 2, 3 of your Qualitat der Algorithm are not
math-related improvements.
* point 4 is because the size of an integer in base 2^8 is coded
on 8 bits: try 256*log(256.)
* point 5 would require something like MPFR on PC
* point 6 is because they use the Taylor formula instead of
arithmetic operations on expansion. That's what I find
the main weakness of the TI, but it's not apparent before
student are at the University, hence TI does not care
(same for arithmetic functions on polynomial or Bezout
identity for integers).
* point 10 is because it's hard to know exactly if a combination
of square roots is not 0. If you compute with sqrt of
2,3,5,6,7 and -1, you must work in an extension of degree
2^5=32 and most importantly you must check at each step
that it does not reduce further.
As for the comparison with the 49g, the CAS software is not
15 years old, 10 (or even less) would be more correct.
.

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