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Re: Is there a simple way to transform 1.1 to 11/10?
*To*: mathgroup at smc.vnet.net
*Subject*: [mg92976] Re: [mg92968] Is there a simple way to transform 1.1 to 11/10?
*From*: Jan Schmedes <jasch at crustal.ucsb.edu>
*Date*: Wed, 22 Oct 2008 05:35:42 -0400 (EDT)
*References*: <200810211024.GAA04964@smc.vnet.net>
If you use something like
rational[x_] = Round[Round[(x - Floor[x])^-1]*x]/Round[(x -
Floor[x])^-1]
you get for
rational[1.0000001]
10000001/10000000
but for rational[1.0000000000001] you get
10007999171935/10007999171934
because 1.0000000000001-1 gives 9.99201*10^(-14) ...
Cheers
Jan
On Oct 21, 2008, at 3:24 AM, Alain Cochard wrote:
>
>
> The obvious
>
> In[1]:= x=1.1`Infinity
>
> is not syntactically correct.
>
> I understand that SetPrecision[1.1,Infinity] does not work either:
>
> In[3]:= SetPrecision[1.1,Infinity]
>
> 2476979795053773
> Out[3]= ----------------
> 2251799813685248
>
> In[4]:= N[%,20]
>
> Out[4]= 1.1000000000000000888
>
> I searched the newsgroup and thought I had the solution with
> Rationalize:
>
> In[5]:= Rationalize[1.1,0]
>
> 11
> Out[5]= --
> 10
>
> But
>
> In[9]:= Rationalize[1.000000001,0]
>
> 999999918
> Out[9]= ---------
> 999999917
>
> In[10]:= N[%,20]
>
> Out[10]= 1.0000000010000000830
>
> So any simple way?
>
> Thanks,
> Alain
>
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