Date: Feb 5, 2013 1:16 AM
Author: JT
Subject: Re: Which naturals better?

On 4 Feb, 09:17, Virgil <vir...@ligriv.com> wrote:
> In article
> <086315b9-274b-4e88-a43a-c8bc9ab23...@n2g2000yqg.googlegroups.com>,
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>  JT <jonas.thornv...@gmail.com> wrote:

> > Building new natural numbers without zero using NyaN, in any base,
> > this will have affects upon computational theory? The NyaN principle
> > is general work for all bases.
> > (Base 3)
> >       (NyaN) base 3           Standard naturals base 3
> > 1    =   1                                     01
> > 2    =   2                                     02
> > 3    =   3                                     10
> > 4    =  11    =3+1                         11
> > 5    =  12    =3+2                         12
> > 6    =  13    =3+3                         20
> > 7    =  21    =6+1                         21
> > 8    =  22    =6+2                         22
> > 9    =  23    =6+3                        100
> > 10  =  31     =9+1                       101
> > 11  =  32     =9+2                       102
> > 12  =  33     =9+3                       110
> > 13  =  111   =9+3+1                    111
> > 14  =  112   =9+3+2                    112
> > 15  =  113   =9+3+3                    120
> > 16  =  121   =9+6+1                    121
> > 17  =  122   =9+6+2                    122
> > 18  =  123   =9+6+3                    200
> > 19  =  131   =9+9+1                    201
> > 20  =  132   =9+9+2                    202
> > 21  =133     =9+9+3                    210

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> The problem being that in this NyaN system there is no way to represent
> zero as a numeral, and zero is more and more these days regarded as
> natural number, since it is certainly the cardinality of a finite set,
> as are all 'other' natural numbers.
> --


Well what i asked if anyone could help me reencode standard base to
NyaN base, most i would like a generic form working for all bases like
the one i posted for standard bases.
It may be that NyaN do not fit current paradigm, but they could be
useful for someone (me).
And i simply forgot howto do it, it was a few lines of codes probably
less code then for standard bases.