Date: Apr 2, 2013 11:29 AM
Author: JT
Subject: Re: Is there any webpage or math program that can write fracitons,<br> numbers into bijective enumeration?

On 2 Apr, 16:47, JT <jonas.thornv...@gmail.com> wrote:
> On 2 Apr, 13:51, JT <jonas.thornv...@gmail.com> wrote:
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> > On 2 Apr, 13:10, JT <jonas.thornv...@gmail.com> wrote:
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> > > On 2 Apr, 13:05, JT <jonas.thornv...@gmail.com> wrote:
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> > > > On 2 Apr, 12:59, JT <jonas.thornv...@gmail.com> wrote:
>
> > > > > On 31 mar, 23:11, 1treePetrifiedForestLane <Space...@hotmail.com>
> > > > > wrote:

>
> > > > > > just pick a number, like "five,"
> > > > > > and represent it in each of the bases, from -ten, down to
> > > > > > the last possible "natural" digital representation,
> > > > > > to see how it came-about, in the first place.

>
> > > > > Bases of the naturals is due to partitioning of discrete entities, as
> > > > > collections or sets if you so want, as you can understand the number
> > > > > of embrasing parentheses signifies grouping and digit position it is
> > > > > all very *basic*.

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> > > > > Counting    5={1,1,1,1,1}
> > > > > Binary      5={{1,1}{1,1}1}
> > > > > Ternary     5={{1,1,1}1,1}
> > > > > Quaternary  5={{1,1,1,1}1}
> > > > > Senary      5={1,1,1,1,1}
> > > > > Septenary   5={1,1,1,1,1}
> > > > > Octal       5={1,1,1,1,1}
> > > > > Nonary      5={1,1,1,1,1}
> > > > > Decimal     5={1,1,1,1,1}

>
> > > > As you can see each digit position contain groups of the base. This is
> > > > what numbers and the partitioning of the naturals really is about, the
> > > > numberline is just a figment due to introduction of measuring, but
> > > > numbers at base 1, the collection created by counting do not have
> > > > geometric properties until you start partition the collection into a
> > > > base.

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> > > A number as expressed using a base is a geometric perspective upon a
> > > collecton of discrete entities. So depending upon if you use a
> > > zeroless or a standard base the geometric properties change of the
> > > collection. This is closely related to factoring.

>
> > What is interesting but elementary when writing out a number into a
> > base is to notice that every second digit plase is a square.
> > Digit place   ternary
> > 1             3
> > 2             9 square 3
> > 3             27
> > 4             81 square 9
> > 5             243
> > 6             729 square 27
> > 7             2187
> > 8             6561 square 81

>
> > And this is the geometric properties of numbers lines building up
> > squares, when you use zero in a base this you mash up all minor
> > squares into a bigger.
> > 70000000000000000000000000000000000700000000000000000000000000000000000000000000000000900000000000000000000000000000000000000000000000000000000003
> > is it prime?
> > So the geometric properties using Nyan is totally different since each
> > full base render a smaller square so the numbers become a sum of
> > squares and their lines.

>
> Decimal Termary
> 6561 = 100000000
> =(1*0)+(3*0)+(9*0)+(27*0)+(81*0)+(243*0)+(729*0)+(2187*0)+(6561*1)
>
> It is easy to see the lack of decomposition and this of course grow
> exponentially with digitplace.
> And this is basicly why NyaN so much better when it comes to factor
> primeproducts like RSA.
>
> It seem like a webservice failure tohttp://www.anybase.co.nf/
>
> But the code is available at my facebook page.http://www.facebook.com/jonas.thornvall


http://www.youtube.com/watch?v=j5r_vHN_fkw