For example, in arithmetic calculation, we see that
HP 50g (OS 2.09 2006) still takes the lead.
It can compute 99999^999 and display every single digit without
scientific notation.
Upgraded Ti-Nspire CAS (OS 1.7 2009) takes over Classpad and claims
2nd position.
It can compute 99999^198 without scientific notation.
Classpad (3.04) 99999^122
Ti-89 Titanium comes last with 500^228
I have a classpad 300+ and Ti-Nspire CAS. I found myself using the
Nspire more than the classpad for quick calculation.
I prefer to have them factor 2^67-1 to check integer arithmetic speed
and the taylor series of ln(sin(x)) around point 1 up to 5th order,
10th order, ... the expression grows immensely when the order
increases and you test both the symbolic manipulation routines and the
memory management of the operating system (by the way, I have no idea
how does the HPs behave with these two, I'm curious).
Having a calculator compute 99999^999 is only a matter of
specification: how many integer digits does it support. Not really
speed, algorithm sophistication or pure power. And on top of that,
having 999 digits instead of 610 of the TI-89 or 990 of the Nspire CAS
doesn't strike me as such an advantage.
Cheers,
Nelson
> --
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> For more options, visit this group at
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> The tns documents shared by group members are archived at
> http://lafacroft.com/archive/nspire.php
> >http://lafacroft.com/archive/nspire.php- Hide quoted text -
>
> - Show quoted text -
supergems
Mathematica is great but doesn't run on a handheld.
Sent from my iPhone
On 19 Feb, 15:53, Andy Kemp <a...@1kemp.co.uk> wrote:
> Ross, you missed Luke's point he said having the software which was
> compatible with the handheld.
>
> Mathematica is great but doesn't run on a handheld.
>
> Sent from my iPhone
>
There is a known issue in 2.53MP that >Frac does not work with complex
numbers as on 2.43.
The workaround is to use imag(a+bi)>Frac and real(a+bi)>Frac.
John Hanna
jeh...@optonline.net
973.398.3815
T3 - Teachers Teaching with Technology
> I would not be so sure! I rather think that the best solution is the
> Casio ClassPad Manager and calculator ;-).
I just surfed their site and found it rather unfriendly compared to
the TI site.
It is also not allowed on the AP Calculus examination.
Bah, I say.
> > > Bah, I say.- Hide quoted text -
Plus, when I tried the Classpad the user interface was a bit hard to
use. Too cluttered and too many symbols for such a small screen. Touch
screen doesn't make up for that.
Nelson
I am aware that the site moderator/censor doesn't like controversial
posts like this, but it needs to be said none the less because it is
the truth regarding these and other features such as ease of
programability, and now I'll shut up for a while knowing that
ultimately the market place will pronounce a final judgement on such
things.
> >http://lafacroft.com/archive/nspire.php- Hide quoted text -
"
Addr: 0CF006 Name: ^BFactor
Factors long integer. Brent-Pollard, with the assumption that trial
division has been done already. When a small factor is found SFactor
is
called to get full short factorization. Since the factorization can
potentially take a very long time, an execution test is used to abort
factoring very long integers (limit is 60s for each composite). The
factors are sorted at exit.
"
With EMU48 and my AMD PC:
'2^67-1' FACTOR --> '193707721*761838257287' in 25.3344 sec.
'2^256-1' FACTOR --> '3*5*17*257*641*65537*274177*6700417*
22894341011050090868949881974522315437050433829130497' in 118.5233
sec.
How long NSPIRE CAS software uses to factorize '2^256-1' ? On my PC
after an hour it was still running...!
The HP 49g/49g+/50g can handle infinite-precision integers! :D
Taylor series of 'LN(SIN(X))' around point 1 up to 20th order with
real HP 50G:
'LN(SIN(X))' 1 20 SERIES
after about half an hour -->
2: { :Limit: 'LN(SIN(1))' :Equiv: '
LN(SIN(1))' :Expans: '(
4951498053124095*COS(1)*SIN(1)^
20+167586815066767360*COS(1)^3*
SIN(1)^18+1889431986777882624*
COS(1)^5*SIN(1)^16+
10666592309335818240*COS(1)^7*
SIN(1)^14+35384430172443770880*
COS(1)^9*SIN(1)^12+
74371001944316313600*COS(1)^11*
SIN(1)^10+102243157431032217600*
COS(1)^13*SIN(1)^8+
91945674412720128000*COS(1)^15*
SIN(1)^6+52226296442191872000*
COS(1)^17*SIN(1)^4+
17030314057236480000*COS(1)^19*
SIN(1)^2+2432902008176640000*COS
(1)^21)/(51090942171709440000*
SIN(1)^21)*h^21-(443861162*SIN(1
)^20+37776932168*COS(1)^2*SIN(1)
^18+620404499106*COS(1)^4*SIN(1)
^16+4391471022960*COS(1)^6*SIN(1
)^14+17051306990760*COS(1)^8*SIN
(1)^12+40351310017200*COS(1)^10*
SIN(1)^10+60941527571925*COS(1)^
12*SIN(1)^8+59200602961500*COS(1
)^14*SIN(1)^6+35885700600750*COS
(1)^16*SIN(1)^4+12374379517500*
COS(1)^18*SIN(1)^2+1856156927625
*COS(1)^20)/(37123138552500*SIN(
1)^20)*h^20+(443861162*COS(1)*
SIN(1)^18+12444357002*COS(1)^3*
SIN(1)^16+116614285620*COS(1)^5*
SIN(1)^14+544057084980*COS(1)^7*
SIN(1)^12+1471434155100*COS(1)^9
*SIN(1)^10+2464400238300*COS(1)^
11*SIN(1)^8+2602548073125*COS(1)
^13*SIN(1)^6+1691165200725*COS(1
)^15*SIN(1)^4+618718975875*COS(1
)^17*SIN(1)^2+97692469875*COS(1)
^19)/(1856156927625*SIN(1)^19)*h
^19-(6404582*SIN(1)^18+443861162
*COS(1)^2*SIN(1)^16+6000247920*
COS(1)^4*SIN(1)^14+34871263260*
COS(1)^6*SIN(1)^12+109860823800*
COS(1)^8*SIN(1)^10+206398171980*
COS(1)^10*SIN(1)^8+238734896400*
COS(1)^12*SIN(1)^6+167162670675*
COS(1)^14*SIN(1)^4+65128313250*
COS(1)^16*SIN(1)^2+10854718875*
COS(1)^18)/(195384939750*SIN(1)^
18)*h^18+(6404582*COS(1)*SIN(1)^
16+145818860*COS(1)^3*SIN(1)^14+
1112558268*COS(1)^5*SIN(1)^12+
4186924560*COS(1)^7*SIN(1)^10+
8950261320*COS(1)^9*SIN(1)^8+
11440529100*COS(1)^11*SIN(1)^6+
8683775100*COS(1)^13*SIN(1)^4+
3618239625*COS(1)^15*SIN(1)^2+
638512875*COS(1)^17)/(
10854718875*SIN(1)^17)*h^17-(
929569*SIN(1)^16+51236656*COS(1)
^2*SIN(1)^14+557657112*COS(1)^4*
SIN(1)^12+2595050640*COS(1)^6*
SIN(1)^10+6427561140*COS(1)^8*
SIN(1)^8+9178369200*COS(1)^10*
SIN(1)^6+7605397800*COS(1)^12*
SIN(1)^4+3405402000*COS(1)^14*
SIN(1)^2+638512875*COS(1)^16)/(
10216206000*SIN(1)^16)*h^16+(
929569*COS(1)*SIN(1)^14+16769029
*COS(1)^3*SIN(1)^12+101470005*
COS(1)^5*SIN(1)^10+298242945*COS
(1)^7*SIN(1)^8+482206725*COS(1)^
9*SIN(1)^6+439864425*COS(1)^11*
SIN(1)^4+212837625*COS(1)^13*SIN
(1)^2+42567525*COS(1)^15)/(
638512875*SIN(1)^15)*h^15-(21844
*SIN(1)^14+929569*COS(1)^2*SIN(1
)^12+7919730*COS(1)^4*SIN(1)^10+
28543515*COS(1)^6*SIN(1)^8+
53153100*COS(1)^8*SIN(1)^6+
53918865*COS(1)^10*SIN(1)^4+
28378350*COS(1)^12*SIN(1)^2+
6081075*COS(1)^14)/(85135050*SIN
(1)^14)*h^14+(21844*COS(1)*SIN(1
)^12+302575*COS(1)^3*SIN(1)^10+
1402401*COS(1)^5*SIN(1)^8+
3075930*COS(1)^7*SIN(1)^6+
3513510*COS(1)^9*SIN(1)^4+
2027025*COS(1)^11*SIN(1)^2+
467775*COS(1)^13)/(6081075*SIN(1
)^13)*h^13-(1382*SIN(1)^12+43688
*COS(1)^2*SIN(1)^10+280731*COS(1
)^4*SIN(1)^8+747780*COS(1)^6*SIN
(1)^6+977130*COS(1)^8*SIN(1)^4+
623700*COS(1)^10*SIN(1)^2+155925
*COS(1)^12)/(1871100*SIN(1)^12)*
h^12+(1382*COS(1)*SIN(1)^10+
14102*COS(1)^3*SIN(1)^8+47685*
COS(1)^5*SIN(1)^6+72765*COS(1)^7
*SIN(1)^4+51975*COS(1)^9*SIN(1)^
2+14175*COS(1)^11)/(155925*SIN(1
)^11)*h^11-(62*SIN(1)^10+1382*
COS(1)^2*SIN(1)^8+6360*COS(1)^4*
SIN(1)^6+11655*COS(1)^6*SIN(1)^4
+9450*COS(1)^8*SIN(1)^2+2835*COS
(1)^10)/(28350*SIN(1)^10)*h^10+(
62*COS(1)*SIN(1)^8+440*COS(1)^3*
SIN(1)^6+1008*COS(1)^5*SIN(1)^4+
945*COS(1)^7*SIN(1)^2+315*COS(1)
^9)/(2835*SIN(1)^9)*h^9-(17*SIN(
1)^8+248*COS(1)^2*SIN(1)^6+756*
COS(1)^4*SIN(1)^4+840*COS(1)^6*
SIN(1)^2+315*COS(1)^8)/(2520*SIN
(1)^8)*h^8+(17*COS(1)*SIN(1)^6+
77*COS(1)^3*SIN(1)^4+105*COS(1)^
5*SIN(1)^2+45*COS(1)^7)/(315*SIN
(1)^7)*h^7-(2*SIN(1)^6+17*COS(1)
^2*SIN(1)^4+30*COS(1)^4*SIN(1)^2
+15*COS(1)^6)/(90*SIN(1)^6)*h^6+
(2*COS(1)*SIN(1)^4+5*COS(1)^3*
SIN(1)^2+3*COS(1)^5)/(15*SIN(1)^
5)*h^5-(SIN(1)^4+4*COS(1)^2*SIN(
1)^2+3*COS(1)^4)/(12*SIN(1)^4)*h
^4+(COS(1)*SIN(1)^2+COS(1)^3)/(3
*SIN(1)^3)*h^3-(SIN(1)^2+COS(1)^
2)/(2*SIN(1)^2)*h^2+COS(1)/SIN(1
)*h+LN(SIN(1))' :Remain: 'h^21'
}
1: 'h=X-1'
How long TI-NSPIRE CAS device uses to make series expansion of
'LN(SIN(X))' around point 1 up to 20th order? I don't kmow because I
don't the device.
Taylor series of 'X^X' around point 0+ up to 4th order with real HP
50G:
'X^X' 'X=0+0' 20 SERIES
-->
2:{ :Limit: 1 :Equiv: 1 :Expans: '
1/(2432902008176640000*(-1/LN(h)
)^20)*h^20+-1/(
121645100408832000*(-1/LN(h))^19
)*h^19+1/(6402373705728000*(-1/
LN(h))^18)*h^18+-1/(
355687428096000*(-1/LN(h))^17)*h
^17+1/(20922789888000*(-1/LN(h))
^16)*h^16+-1/(1307674368000*(-1/
LN(h))^15)*h^15+1/(87178291200*(
-1/LN(h))^14)*h^14+-1/(
6227020800*(-1/LN(h))^13)*h^13+1
/(479001600*(-1/LN(h))^12)*h^12+
-1/(39916800*(-1/LN(h))^11)*h^11
+1/(3628800*(-1/LN(h))^10)*h^10+
-1/(362880*(-1/LN(h))^9)*h^9+1/(
40320*(-1/LN(h))^8)*h^8+-1/(5040
*(-1/LN(h))^7)*h^7+1/(720*(-1/LN
(h))^6)*h^6+-1/(120*(-1/LN(h))^5
)*h^5+1/(24*(-1/LN(h))^4)*h^4+-1
/(6*(-1/LN(h))^3)*h^3+1/(2*(-1/
LN(h))^2)*h^2+-1/(-1/LN(h))*h+1'
:Remain: 'h^21' }
1:'h=X'
NSPIRE can not do the series expansion of 'X^X' around point 0+!
The CAS of the HP 50g is more flexible, try to calculate this
expression with CASIO ClassPad, TI-NSPRE CAS and TI 89T/V200, you fail
in any way:
'ABS(\GS(K=1,+\oo,((1+i)/2)^K))' ('\GS' is the summation symbol and
'i' is the imaginary unit)
Using the HP 50g we can do it with these steps:
'\GS(K=1,N,((1+i)/2)^K)' EVAL SIMPLIFY
'(-(i*EXP((2*N*LN(2)+i*\pi*N)/4))+i*EXP(N*LN(2)))/EXP(N*LN(2))'
'N=\oo'
'lim'
result: 'i'
and finally we get 1 with ABS
Partial fraction:
HP 50g
'(3*X^3+2*X^2+X+1)/(4*X^2+2*X+1)' PARTFRAC --> '3/4*X+1/8+(7*i*\v/3/12/
(4*X+(1+i*\v/3))-7*i*\v/3/12/(4*X+(1-i*\v/3)))'
TI-NSPIRE CAS is unable to do the partial fraction expansion when the
denominator has complex roots!
expand((3*X^3+2*X^2+X+1)/(4*X^2+2*X+1)) = 7/(8*(4*x^2+2*x+1))+3*x/
4+1/8
In the TI89T/V200 calculators expand() is buggy :-P .
Regarding the programmability the HP 50g beats competitors:
HP Basic
User RPL
System RPL
Saturn assembly
ARM assembly
C/C++
====================================================================
AMD K7 1GHz - ASUS A7V - 1256 MB SDRAM 133 MHz
Windows XP PRO SP3
TI-NSPIRE CAS Computer Software Teacher Edition Version: 2.0.0.1188
EMU48 1.47+ HP 50g ROM 2.15
REAL HP 50G ROM 2.15
====================================================================
On 18 Feb, 11:39, Nelson Sousa <nso...@gmail.com> wrote:
> that's not a very significant test.
>
> I prefer to have them factor 2^67-1 to check integer arithmetic speed
> and the taylor series of ln(sin(x)) around point 1 up to 5th order,
> 10th order, ... the expression grows immensely when the order
> increases and you test both the symbolic manipulation routines and the
> memory management of the operating system (by the way, I have no idea
> how does the HPs behave with these two, I'm curious).
>
> Having a calculator compute 99999^999 is only a matter of
> specification: how many integer digits does it support. Not really
> speed, algorithm sophistication or pure power. And on top of that,
> having 999 digits instead of 610 of the TI-89 or 990 of the NspireCAS
> doesn't strike me as such an advantage.
>
> Cheers,
> Nelson
>
> On Thu, Feb 18, 2010 at 00:52, T Tran <themostwan...@gmail.com> wrote:
> > It's me who posted it.
> > Actually, the NspireCASderived from theCASof the Ti-89 family,
> > thus, you would expect predictable behavior between the two.
> > However, NspireCAShas been improved over time.
>
> > For example, in arithmetic calculation, we see that
>
> > HP 50g (OS 2.09 2006) still takes the lead.
> > It can compute 99999^999 and display every single digit without
> > scientific notation.
>
> > Upgraded Ti-NspireCAS(OS 1.7 2009) takes over Classpad and claims
> > 2nd position.
> > It can compute 99999^198 without scientific notation.
>
> > Classpad (3.04) 99999^122
>
> > Ti-89 Titanium comes last with 500^228
> > I have a classpad 300+ and Ti-NspireCAS. I found myself using the
> > Nspire more than the classpad for quick calculation.
>
> > On Feb 17, 5:40 pm, Ross <ross3...@gmail.com> wrote:
> >> I am curious to know who created and posted the document comparing the
> >> ti 89 and the hp 49. If at all possible, I would really like to see
> >> how the TI NspireCASand the HP calcs perform in a competition like
To unsubscribe from this group, send email to tinspire+unsubscribegooglegroups.com or reply to this email with the words "REMOVE ME" as the subject.
> On Wed, Mar 24, 2010 at 08:40, supergems <simone.cer...@gmail.com> wrote:
> > The FACTOR is time ;-)
>
> >http://groups.google.com/group/comp.sys.hp48/browse_thread/thread/be1...
> ...
>
> leggi tutto
--
--
The taylor series to n'th order around point x=a is defined as sum( f^(k)(a)*(x-a)^k/k! , k,0,n) = f(a) + f'(a)*(x-a) + f''(a)(x-a)^2/2 + ...The series only exists if f(a) and ALL derivatives are well defined on x=a. With f(x)=x^x, f(0) is not defined, nor are any of its derivatives. This function cannot be expanded around x=0. The answer your HP returned is just wrong.Nelson
--