Yasutoshi(Take_it,Use floor to limit size of iterated var.)

[Don McDonald]

> Message-ID: <060301c2fe6f$006c07a0$418239d2 at computer>
> From: "y.kohmoto" <zbi74583 at boat.zero.ad.jp>
> Subject: RE : K-sequence
> Date: Wed, 9 Apr 2003 17:07:01 +0900
>
Yasutoshi wrote:
>     Hello, Don Mcdonald
>     I don't understand well the relationship between K-sequence and your
> sequence.

(Thanks  Yasutoshi, both use floor function in various ways
 to attempt to limit size of an iterated variable.
 Does it cycle?  Trying to answer your question
 without going too much off-topic.)

>    I think your sequence depends on a spec of a computer.
>

 (Definitely, yes.)
>    Maybe, I misunderstand what you wrote, please explain more.
>
>    Yasutoshi


don.mcdonald       ++++ MORE  >>>>
09.04.03

VALUE OF SECOND COLUMN below IS
-LN( X- FLOOR(X) )

WITH RANDOM SEED AS REQUIRED.
Yes, it is a transcendental function.
therefore limited by machine precision.
it must loop (cycle, or reseed.)

My game uses a special random number generator.. -LN.gFrac.
[to get an integer sequence- take floor of value.]

PROCPLAY

TIME/ VALUE/ TAKE_IT/ NUMBER/ AVERAGE.
Centis.     CUMULATIVE.
     ****

0.   0.634
91.  0.456      (pass...)
182. 0.785 
273. 0.242 
364. 1.417   1.417    1.   1.417   (try to seize larger values.)
661. 0.875 
752. 0.133                   easy to verify because  -LN( 1-x) -> x.
 843. 2.014   3.431    2.   1.715  
1137. 4.262   7.693    3.   2.564  
1407. 1.338   9.031    4.   2.258  
1674. 1.085 
1765. 2.461   11.492    5.   2.298  
2055. 0.774 
2146. 0.256 
2237. 1.362 
2328. 1.017 
2419. 4.094   15.586    6.   2.598  
2720. 2.365   17.952    7.   2.565  
2990. 1.006   18.958    8.   2.370  
3258. 5.036   23.994    9.   2.666  
3526. 3.318   27.313    10.   2.731  
3793. 1.145 
3884. 1.933   29.246    11.   2.659  
4180. 0.069 
4271. 2.667   31.913    12.   2.659  
4568. 0.405 
4659. 0.904 
4750. 0.101 
4841. 2.297   34.210    13.   2.632  
5140. 1.215 
5231. 1.539                       (I wasn't very skilful-- should have
				increased my total!)
5322. 0.618 
5413. 0.482 
5504. 0.730 
5595. 0.315 
5686. 1.156 
5777. 1.858 
5868. 0.153 
5959. 1.879   36.089    14.   2.578  
60 SECONDS UP.
TIME | (VALUE**) |TOTAL |N% |AVERAGE

PROCCHART

CAND| SCORE| NO.|  AVERAGE| NAME
0.  0.000   0.   0.000 
1.  23.773   14.   1.698 DON
2.  30.575   13.   2.352 DON
ƒ3.  36.089   14.   2.578 DON
...
LEADER 3.  36.089  DON
>  c.Profile.eisintegsq.Seqfan.Yasutoshi.LNgFrac

/ don.