Product Series and Limit Expressions on the 50G « Next Oldest | Next Newest »

 ▼ Matt Agajanian Posting Freak Posts: 980 Threads: 239 Joined: Aug 2006 09-02-2013, 11:44 AM Although the 50G does have summation series, definite and indefinite integral entry directly in the Equation Writer, how do I input a Product Series expression into the 50G? Next, how do I enter a Limit expression in the 50G Equation Writer? Thanks ▼ Gilles Carpentier Senior Member Posts: 468 Threads: 17 Joined: May 2011 09-02-2013, 12:07 PM For 'limit' with EWQ, I do : Shift Calc Limit LIM then enter the equation and the limit in the second argument in the form X=0 It's unclear in the doc but X=0+0 X=0-0 means right and left limits However the input is not in '2D'... It's become '2D' after ENTER and you can edit in 2D after that. Perhaps there is another way ? ▼ Matt Agajanian Posting Freak Posts: 980 Threads: 239 Joined: Aug 2006 09-02-2013, 03:09 PM A little help, please. How would asample expression be written in RPN mode? Thamk you NEVER MIND! I got the idea. So, how do I enter a product series (upper case Greek Pi) expression? Edited: 2 Sept 2013, 3:20 p.m. ▼ Gerson W. Barbosa Posting Freak Posts: 2,761 Threads: 100 Joined: Jul 2005 09-02-2013, 03:36 PM There is no PI operator, but you can use SIGMA, LN and EXP together. Let's say you want the product of the first ten natural numbers (a.k.a. 10!), or ```'PI(n=1,10,n)' ``` But the HP 50g lacks PI, as we know. No problem, do that instead: ```'EXP(SIGMA(n=1,10,LN(n)))' EVAL ``` You'll get 3628800.00009. Well, those extra 0.00009 are a small price to pay :-) HTH, Gerson. Edited: 2 Sept 2013, 3:38 p.m. ▼ Matt Agajanian Posting Freak Posts: 980 Threads: 239 Joined: Aug 2006 09-02-2013, 04:32 PM So, are you saying, in the last argument (from your example, 'LN(n)', justl replace the argument n with my math expression? But, if the expression, n, produces a negative value through the range of the series, taking LN(expression) will result in an error condition. Wouldn't it? Or, since the 50G will handle complex results, the calculation of the Product Series will calculate thoroughly? ▼ Gerson W. Barbosa Posting Freak Posts: 2,761 Threads: 100 Joined: Jul 2005 09-02-2013, 04:49 PM Quote: But, if the expression, n, produces a negative value through the range of the series, taking LN(expression) will result in an error condition. Yes, that's a concern. This method won't work for all cases, still a few of them will be easily handled. For instance, if all terms have negative value, just make them positive then change the sign of the result if the numbers of terms is odd. ▼ Matt Agajanian Posting Freak Posts: 980 Threads: 239 Joined: Aug 2006 09-02-2013, 04:58 PM Okie doke! Thanks. ▼ Bunuel66 Member Posts: 59 Threads: 5 Joined: Jul 2011 09-02-2013, 05:16 PM May be computing with absolute value will solve the problem...and then finding the final sign by hand.... ▼ Matt Agajanian Posting Freak Posts: 980 Threads: 239 Joined: Aug 2006 09-02-2013, 05:34 PM There's got to be a better way with such a feature- and function-loaded calculator. Thomas Ritschel Junior Member Posts: 17 Threads: 1 Joined: Nov 2012 09-02-2013, 05:14 PM Outside the equation writer one could use a combination of SEQ and PILIST (from the MTH/LIST menu). This would also work for negative members of the series. For example for odd integers from n=-5 to n=5: ```n n -5 5 2 SEQ``` You'll get a list: `{-5 -3 -1 1 3 5}` `PILIST` yields -225. In ALG mode one could combine the two statements into just one line. However I haven't found a way to enter this in RPN mode (apart from temporarily switching to and from ALG mode). Edited: 2 Sept 2013, 5:17 p.m. ▼ Matt Agajanian Posting Freak Posts: 980 Threads: 239 Joined: Aug 2006 09-02-2013, 06:00 PM Well, that sounda like a good fix. Besides, it feels and sounds like that programming routine gets my RPN programming juices fired up. Yeah, after taking a break and looking at this in a relaxed mood, this idea (and I wouldn't mind seeing other methods) makes for a good alternative. Matt Agajanian Posting Freak Posts: 980 Threads: 239 Joined: Aug 2006 09-02-2013, 07:37 PM Actually, to keep this an entirely RPN item, you could do what I just tried and just put that PiList command into the program as the last instruction. Or were you trying for a stack-based function instead of a program? Edited: 2 Sept 2013, 7:38 p.m. ▼ Thomas Ritschel Junior Member Posts: 17 Threads: 1 Joined: Nov 2012 09-03-2013, 02:23 AM Quote: Or were you trying for a stack-based function instead of a program? Yes, I was trying for a stack-based function (equation). Within a program it is no problem to put the PiList directly after the SEQ statement... Simone Cerica Junior Member Posts: 2 Threads: 0 Joined: Jun 2011 09-03-2013, 02:02 PM Quote: Although the 50G does have summation series, definite and indefinite integral entry directly in the Equation Writer, how do I input a Product Series expression into the 50G? Next, how do I enter a Limit expression in the 50G Equation Writer? Thanks You must read "PI (Product) function for 48/49/50" of John H Meyers on comp.sys.hp48 best regards, Simone Cerica

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