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Topic: Is there any webpage or math program that can write fracitons,
numbers into bijective enumeration?

Replies: 68   Last Post: Apr 8, 2013 11:40 PM

 Messages: [ Previous | Next ]
 JT Posts: 1,448 Registered: 4/7/12
Re: Is there any webpage or math program that can write fracitons,
numbers into bijective enumeration?

Posted: Apr 2, 2013 7:10 AM

On 2 Apr, 13:05, JT <jonas.thornv...@gmail.com> wrote:
> On 2 Apr, 12:59, JT <jonas.thornv...@gmail.com> wrote:
>
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> > 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*.

>
> > 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.

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.

Date Subject Author
3/19/13 JT
3/19/13 JT
3/20/13 JT
3/20/13 Robin Chapman
3/20/13 Brian Q. Hutchings
3/20/13 JT
3/20/13 JT
3/20/13 JT
3/20/13 JT
3/20/13 Brian Q. Hutchings
3/20/13 JT
3/20/13 Brian Q. Hutchings
3/21/13 JT
3/23/13 Brian Q. Hutchings
3/24/13 JT
3/21/13 JT
3/21/13 JT
3/24/13 David Petry
3/25/13 JT
3/25/13 JT
3/25/13 JT
3/26/13 JT
3/28/13 JT
3/31/13 Brian Q. Hutchings
4/2/13 JT
4/2/13 JT
4/2/13 JT
4/2/13 JT
4/2/13 JT
4/2/13 JT
4/4/13 JT
4/6/13 KBH
4/6/13 JT
4/6/13 JT
4/6/13 JT
4/6/13 JT
4/5/13 Brian Q. Hutchings
4/6/13 JT
4/6/13 JT
4/6/13 JT
3/20/13 JT
3/22/13 JT
3/22/13 JT
3/23/13 JT
3/23/13 JT
3/23/13 JT
3/23/13 JT
3/26/13 JT
3/31/13 JT
3/31/13 Brian Q. Hutchings
4/7/13 KBH
4/7/13 KBH
4/7/13 KBH
4/7/13 KBH
4/7/13 JT
4/7/13 JT
4/7/13 KBH
4/7/13 JT
4/7/13 JT
4/7/13 JT
4/8/13 Brian Q. Hutchings
4/7/13 KBH
4/7/13 JT
4/8/13 Brian Q. Hutchings
4/7/13 JT
3/31/13 Frederick Williams
3/31/13 JT
4/7/13