JT
Posts:
1,254
Registered:
4/7/12


Re: Is it me or is it Wolfram?
Posted:
May 10, 2013 1:37 PM


On 10 Maj, 19:36, JT <jonas.thornv...@gmail.com> wrote: > On 10 Maj, 19:13, Ray Vickson <RGVick...@shaw.ca> wrote: > > > > > > > > > > > On Thursday, May 9, 2013 11:01:54 AM UTC7, JT wrote: > > >http://www.wolframalpha.com/input/?i=0.499999999999999999999999999999... > > > > n = 1. > > > > 0.49999999999999999999999999999999999999999 = (n/21)/n > > > >http://www.wolframalpha.com/input/?i=%3D%2810000000000000000000000000... > > > > 0.49999999999999999999999999999999999999999=(100000000000000000000000000000000000000000/21)/ > > > > 100000000000000000000000000000000000000000 > > > > I do not understand to, can please someone explain why and how wolfram > > > > get 1 for the upper calculation, it is obvious using the one below > > > > what the solution is? > > > > And if there was two solutions should not Wolfram give them both? What > > > > is going on here, i am total newb to math calculators so tell me what > > > > is going on? > > > It must have something to do with truncation of floatingpoint numbers. I do not have access to Mathematica, but here is your example in Maple 14: > > > eq:=z=(n/21)/n: lprint(eq); z = (1/2*n1)/n <equation > > Nz:=solve(eq,n): lprint(Nz); 2/(2*z1) < solution > > > Default digits setting = 10 gives: > > eq1:=0.49999999999999999999999999999999999999999 = (n/21)/n : > > lprint(eq1); .49999999999999999999999999999999999999999 = (1/2*n1)/n > > solve(eq1,n); > > 42 > > 0.1000000000 10 > > (this is 0.10e42) > > subs(z=0.49999999999999999999999999999999999999999,Nz); > > Float(infinity) > > > Even with the low digits setting, Maple handles the direct equation well, but fails when the parameter is > > substituted into the solution (because the extra digits are handled in one problem but not in the other)' > > > Now let's increase the digits setting: > > > Digits:=60; > > subs(z=0.49999999999999999999999999999999999999999,Nz); > > 42 > > 0.100000000000000000000000000000000000000000000000000000000000 10 > > (this is 0.100....00 e42) > > > Now both ways handle the extra digits well enough to yield identical answers. > > > I presume something like this happens also in Mathematica. However, if by "Wolfram" you mean wolfram alpha, I don't know if it allows you to change digit settings easily. > > Well honestly wolfram alpha gives answers both for mathematica and > wolfram, so the cat is eating its tail here.
And i already solved this 15 years ago, so it is not my turn to do it again.

