JT
Posts:
1,042
Registered:
4/7/12


Re: Is there any webpage or math program that can write fracitons, numbers into bijective enumeration?
Posted:
Apr 2, 2013 11:29 AM


On 2 Apr, 16:47, JT <jonas.thornv...@gmail.com> wrote: > On 2 Apr, 13:51, JT <jonas.thornv...@gmail.com> wrote: > > > > > > > > > On 2 Apr, 13:10, JT <jonas.thornv...@gmail.com> wrote: > > > > On 2 Apr, 13:05, JT <jonas.thornv...@gmail.com> wrote: > > > > > 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 cameabout, 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. > > > 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

