[WP 34s] Taylor Series expansion  Printable Version + HP Forums (https://archived.hpcalc.org/museumforum) + Forum: HP Museum Forums (https://archived.hpcalc.org/museumforum/forum1.html) + Forum: Old HP Forum Archives (https://archived.hpcalc.org/museumforum/forum2.html) + Thread: [WP 34s] Taylor Series expansion (/thread237372.html) 
[WP 34s] Taylor Series expansion  Valentin Albillo  01172013 Hi all, Happy New Year 2013 and all that ! Just out of sheer curiosity (though I guess the answer is "no"): Does the comprehensive WP 34s's instruction set include some function or utility to return the coefficients of the Taylor Series expansion of a given function at a given point, either symbolically or numerically ? It seems that most (all ?) RPL models can deliver and wondered if the WP 34s currently does as well or whether it's been considered for eventual inclusion in the (near ?) future.
Best regards from V. Re: [WP 34s] Taylor Series expansion  Walter B  01172013 Buenas dias Valentin y Bueno Anno Novo etc. Please note the WP 34S is not RPL but pure traditional RPN. There is and will be no symbolic computation on it, I'm afraid (actually, I don't know whether I shall be afraid, but anyway ...). Also I don't see any numeric Taylor series expansion on it though it may be programmable. With respect to the future on another platform ;) this topic was not discussed yet.
d:)
Re: [WP 34s] Taylor Series expansion  Valentin Albillo  01172013
Quote: Yes, fortunately indeed, it surely is the WP 34S's greatest feature.
Quote: I concur, no great loss. Symbolic computations are pretty much out of scope for this particular project.
Quote: Yes, it certainly is. I was asking because I know that RPL models can, and such series expansions do have a number of interesting uses, possibly surpassing those of other "exotic" features which actually made it into the instruction set. But no great loss either, interested users can surely implement such expansions efficiently enough using the powerful capabilities currently available. For testing purposes you might want to consider finding the coefficients (up to the x^{7} term, say) of this one:
and see what you get. Thanks a lot for your kind and prompt reply and
Best regards from V.
Re: [WP 34s] Taylor Series expansion  Thomas Klemm  01202013
Quote:
While it's easy to get the result with a calculator that is able to perform symbolic differentiation I'm trying to show that this isn't needed. The arrays contain the first coefficients of the Taylor Series at x = Pi/2. x = [Pi/2, 1, 0, 0, 0, 0, 0, 0] All we need are operations that interpret an array correctly as a Taylor Series. This shouldn't be too difficult to implement. Though I have no idea whether this would be possible within the WP34s project, it's far from symbolic differentiation. Maybe as an idea for a followup project then?
Kind regards
Edited: 21 Jan 2013, 2:36 a.m.
