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

 Messages: [ Previous | Next ]
 JT Posts: 1,448 Registered: 4/7/12
Re: 1/3 partitioned expansion in different bases
Posted: Feb 1, 2013 4:47 AM

On 1 Feb, 10:43, JT <jonas.thornv...@gmail.com> wrote:
> On 1 Feb, 06:31, JT <jonas.thornv...@gmail.com> wrote:
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> > Sorry it was late night my head was not clear i try again.
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> > How is fraction 1/3 expressed in base 3, of course in base 10 it do
> > have unfinished decimalexpansion.
> > But has it really in base 3???

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> > And this is where number zero gets interesting, because when you use
> > zero number 3 is expressed 10 in base 3 right?

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> > But in a number system without 0 it should *undoubtly* be expressed a
> > single 3.

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> > And number 6 be 13 number 9 be 23 do you people agree?
> > From this (may) also follow that 1/3 in such a number system would be
> > expressed .1 do you people agree?
> > And 0.999... would be expressed as 0.3 or.......?

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> > I could easily adjust my base changer to this, and in this zeroless
> > number system 3+1/3 would be expressed 3,1
> > 6+1/3 would be expressed 2,1

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> I have no idea how this happens of course it should be 13,1 the
> details just slips my mind.
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> > Now can you people see any benefits from my new bases without 0. It
> > seem that unfinished decimal expansion vanish in certain bases or?

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> > How does this basesystem make you feel angry, annoying or just
> > uninteresting?

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> > Is there something deep profound to all this, if i just could
> > remember
> > what. I think it has something todo with factoring.

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> > For now i just wants commenting upon the proposed new bases without

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> > Would you like me make a version of my base changer where 1/3 do not
> > have unfinished decimal expansion and all bases expressed without
> > zeroes?

Could i please have a comment upon the benefits or drawbacks of this
number system, is it consistent?
Any comment would be nice, i think it fully compatible backward
forward with the STANDARD BASES using zero however this have the
benefits of closed digit expansions for values as 1/3, is there
benefits with this?

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