JT
Posts:
436
Registered:
4/7/12
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Re: 1/3 partitioned expansion in different bases
Posted:
Feb 1, 2013 12:51 PM
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On 1 Feb, 15:06, Frederick Williams <freddywilli...@btinternet.com> wrote: > JT wrote: > > And 0.999... would be expressed as 0.3 or.......? > > What are you asking? Does 0.9 recurring (in base 10) have the same > value as 0.3 (in base 3)? No, 0.9 recurring (in base 10) has the same > value as 1.0 (in base 3). > > -- > When a true genius appears in the world, you may know him by > this sign, that the dunces are all in confederacy against him. > Jonathan Swift: Thoughts on Various Subjects, Moral and Diverting
Well if you can not understand the simple numbersystem i am offering i have no trouble understanding your problem with mathproblems.
As anyone know a 0.888... equals 1 using standard number systems, i am offering a way to get away from offering a different numbersystems where digits do terminate for 1/3 , 1/7 etc.
And i have a feeling it will be a cleansing for math as whole, but the drawback it is not actually intuitive after thousands of years using a numberline and 0 as a mathematical numerical value. On the other side it will lead to a leap in computational theory, and lead to solution to problems earlier unsolvable. It will even change the computational complexity for some problems. It is completly compatible with current numbersystems for anybase, but use another notation for numbers in bases, and most important zero is not included.
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