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fom
Posts:
1,969
Registered:
12/4/12


Re: natural numbers as pseudocircles
Posted:
Feb 4, 2014 9:42 PM


On 2/4/2014 8:17 PM, fom wrote:
Well, that is a little embarrassing. I argued elsewhere for interpreting an arithmetic error.
1/31 =/= 4/128
But, this is actually better. Only 3 is a limit point in the convergence to 2. And, embeddings into minimal Hausdorff spaces are based on singlepoint compactifications.
> > The second sequence is > > 0 < 1/128 < 2/128 < 3/128 < 4/128 < 5/128 < 1/18 < 1/16 < 1/9 > > Its partition will be, > > > interval_1 :=> { ..., 131 } > interval_2 :=> { 127, ..., 67 } [13 primes] [length: 60] [gap: 4] > interval_3 :=> { 61, ..., 43 } [5 primes] [length: 18] [gap: 6] > interval_4 :=> { 41, 37 } [2 primes] [length: 4] [gap: 2] > interval_5 :=> { 31, 29 } [2 primes] [length: 3] [gap: 6] > interval_6 :=> { 23, 19 } [2 primes] [length: 4] [gap: 6] > interval_7 :=> { 17 } [1 prime] [length: 0] [gap: 2] > interval_8 :=> { 13, 11 } [2 primes] [length: 2] [gap: 4] > > residual :=> { 7, 5, 3, 2 } [4 primes] [length: 5] [gap: 4] > omitted :=> {} [0 primes] [length: null] [gap: null] >


Date

Subject

Author

2/4/14


fom

2/4/14


fom


