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Topic: 1/3 partitioned expansion in different bases
Replies: 28   Last Post: Feb 3, 2013 11:57 PM

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 JT Posts: 1,388 Registered: 4/7/12
Re: 1/3 partitioned expansion in different bases
Posted: Feb 2, 2013 1:41 AM

On 2 Feb, 07:07, JT <jonas.thornv...@gmail.com> wrote:
> On 2 Feb, 06:45, JT <jonas.thornv...@gmail.com> wrote:
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> > On 1 Feb, 15:06, Frederick Williams <freddywilli...@btinternet.com>
> > wrote:

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> > > JT wrote:
> > > > And 0.999... would be expressed as 0.3 or.......?
>
> > > What are you asking?  Does 0.9 recurring (in base 10)  have the same
> > > value as 0.3 (in base 3)?  No, 0.9 recurring (in base 10) has the same
> > > value as 1.0 (in base 3).

>
> > > --
> > > When a true genius appears in the world, you may know him by
> > > this sign, that the dunces are all in confederacy against him.
> > > Jonathan Swift: Thoughts on Various Subjects, Moral and Diverting

>
> > Well actually in this numbersystem in base 3
> > 0,3=1
> > This means that 0,3 actually completes 0.999... in standard digit
> > expansion, it is the sum of all possible fractions of a single natural
> > number.

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> > So in my bases a single natural actually equals the sum of all
> > fractions thus 1=0,3 in base 3 the decimal expansion is complete.

>
> In reality though you will never use it since 3/3 equals one.

Base 3
In fact 1,3=2
You may find funny, but it is not that strange, the fractions have
completness, but of course in reality you never write 1,3 you write 2.

Date Subject Author
2/1/13 JT
2/1/13 JT
2/1/13 JT
2/1/13 JT
2/1/13 JT
2/1/13 JT
2/1/13 JT
2/1/13 forbisgaryg@gmail.com
2/1/13 JT
2/1/13 forbisgaryg@gmail.com
2/1/13 JT
2/2/13 JT
2/1/13 Frederick Williams
2/1/13 JT
2/1/13 JT
2/1/13 JT
2/1/13 JT
2/2/13 JT
2/2/13 JT
2/2/13 JT
2/2/13 JT
2/2/13 JT
2/2/13 JT
2/2/13 JT
2/2/13 JT
2/2/13 JT
2/3/13 JT
2/3/13 Virgil
2/3/13 JT