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Topic: Can a fraction have none noneending and nonerepeating decimal representation?
Replies: 108   Last Post: Aug 16, 2013 5:22 PM

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JT

Posts: 1,042
Registered: 4/7/12
Re: Can a fraction have none noneending and nonerepeating decimal representation?
Posted: Aug 1, 2013 5:46 PM
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Den torsdagen den 1:e augusti 2013 kl. 23:30:58 UTC+2 skrev Virgil:
> In article <6e3234d0-74bb-4b9e-acfe-153b36dd29b6@googlegroups.com>,
>
> jonas.thornvall@gmail.com wrote:
>
>
>

> > The convergents of a continued fraction expansion of x give the best
>
> > rational approximations to x.
>
>
>
> But unless one of those convergents is EXACTLY equal to that x,
>
> that x is not itself rational.
>
>
>
> And being merely "close" does not count!
>
> --


If i show that a continued fraction converge to a limit, it doesn't mean that i can use the number of vertices to find the limit but that i can show the sequense is convergent.


Date Subject Author
7/30/13
Read Can a fraction have none noneending and nonerepeating decimal representation?
JT
7/30/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
7/30/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Virgil
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Virgil
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Tucsondrew@me.com
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Tucsondrew@me.com
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Tucsondrew@me.com
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Virgil
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Virgil
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Tucsondrew@me.com
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Tucsondrew@me.com
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
LudovicoVan
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
LudovicoVan
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Virgil
8/1/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
8/1/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
8/1/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Virgil
8/1/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Virgil
8/1/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
8/1/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Virgil
8/1/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Virgil
8/3/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
grei
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
8/4/13
Read the surfer's value (Nicholas de Cusa proved that pi was
transcendental in the 15th cue (http://21stcenturysciencetech.com
Brian Q. Hutchings
8/4/13
Read Re: the surfer's value (Nicholas de Cusa proved that pi was
transcendental in the 15th cue (http://21stcenturysciencetech.com
Brian Q. Hutchings
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Tucsondrew@me.com
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation? NO!
Virgil
8/1/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
magidin@math.berkeley.edu
8/1/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
8/1/13
Read Re: Can a fraction have none noneending and nonerepeating decimal
representation?
Peter Percival
8/1/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
8/1/13
Read Re: Can a fraction have none noneending and nonerepeating decimal
representation?
Peter Percival
8/1/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
8/1/13
Read Re: Can a fraction have none noneending and nonerepeating decimal
representation?
Peter Percival
8/1/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
8/1/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Virgil
8/1/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Virgil
8/1/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Virgil
8/1/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Virgil
8/1/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
magidin@math.berkeley.edu
8/1/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
8/1/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
8/1/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Virgil
8/1/13
Read Re: Can a fraction have none noneending and nonerepeating decimal
representation?
Peter Percival
8/1/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
8/1/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Virgil
8/1/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
8/1/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Virgil
8/1/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Virgil
8/1/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
magidin@math.berkeley.edu
8/1/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Richard Tobin
8/2/13
Read Re: Can a fraction have none noneending and nonerepeating decimal
representation?
David Bernier
8/2/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
8/2/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Richard Tobin
8/2/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
8/2/13
Read Re: Can a fraction have none noneending and nonerepeating decimal
representation?
Peter Percival
8/2/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Richard Tobin
8/2/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
8/2/13
Read Re: Can a fraction have none noneending and nonerepeating decimal
representation?
Peter Percival
8/2/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Richard Tobin
8/16/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Earle Jones
8/2/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Virgil
8/2/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
8/2/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
RGVickson@shaw.ca
8/2/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
8/2/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Virgil
8/2/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
8/2/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Virgil
8/2/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Virgil
8/2/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Virgil
8/2/13
Read Re: Can a fraction have none noneending and nonerepeating decimal
representation?
David Bernier
8/2/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
8/2/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Virgil
8/2/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
8/2/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
8/2/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Virgil
8/3/13
Read Re: Can a fraction have none noneending and nonerepeating decimal
representation?
David Bernier
8/3/13
Read Re: Can a fraction have none noneending and nonerepeating decimal
representation?
David Bernier
8/4/13
Read Re: Can a fraction have none noneending and nonerepeating decimal
representation?
David Bernier
8/2/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
quasi
8/2/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
8/2/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
8/2/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Virgil
8/2/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Shmuel (Seymour J.) Metz
8/2/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
8/2/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Virgil
8/2/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
FredJeffries@gmail.com
8/16/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Earle Jones
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Phil H
7/31/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
JT
7/30/13
Read Re: Can a fraction have none noneending and nonerepeating decimal representation?
Earle Jones

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