Timeline for Precision differences

11 events

when toggle format	what		by	license	comment
Dec 29, 2012 at 19:35	history	edited	Artes	CC BY-SA 3.0	added an example where NSum works while Sum does not
Dec 29, 2012 at 6:33	vote	accept	Fred Daniel Kline
Dec 28, 2012 at 21:57	history	edited	Artes	CC BY-SA 3.0	added 77 characters in body
Dec 28, 2012 at 20:51	history	edited	Artes	CC BY-SA 3.0	added appropriate settings for NSum
Dec 28, 2012 at 20:07	comment	added	Fred Daniel Kline		`Sum[(1/k^2 + 1/(k^2 - k)), {k, 2, Infinity}] - Zeta[2]` Here I changed the minus to a plus.
Dec 28, 2012 at 19:43	comment	added	Artes		@FredKline Just evaluate this `Sum[1/k^2, {k, Infinity}] - Zeta[2]` to understand what I mean.
Dec 28, 2012 at 19:34	comment	added	Fred Daniel Kline		I misunderstood. Change the $-$ between the two terms to a $+$ to get `zeta[2]`.
Dec 28, 2012 at 18:59	comment	added	Fred Daniel Kline		The second one---1/k^2 (but starting with k=1).
Dec 28, 2012 at 18:51	comment	added	Artes		@FredKline In these both cases `NSum` cannot very accurately estimate the results. You should better use `Sum` wherever it would be possible. Which one does converge to `Zeta[2]` ?
Dec 28, 2012 at 18:40	comment	added	Fred Daniel Kline		+1, because I replaced the constant one with a sum that converges to one, this might be a pathelogical example. The pronic numbers may converge to one at a different rate than zeta[2] converges.
Dec 28, 2012 at 18:21	history	answered	Artes	CC BY-SA 3.0