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Groups > comp.compression > #1201 > unrolled thread

Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles

Started byLawCounsels@aol.com
First post2012-03-31 10:32 -0700
Last post2012-04-07 03:22 -0700
Articles 3 on this page of 63 — 9 participants

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  Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles LawCounsels@aol.com - 2012-03-31 10:32 -0700
    Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles Thomas Richter <thor@math.tu-berlin.de> - 2012-04-03 11:32 +0200
      Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles James Dow Allen <jdallen2000@yahoo.com> - 2012-04-03 09:07 -0700
        Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles LawCounsels@aol.com - 2012-04-06 01:24 -0700
          Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles LawCounsels@aol.com - 2012-04-08 00:41 -0700
            Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles James Dow Allen <jdallen2000@yahoo.com> - 2012-04-08 04:25 -0700
              Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles lawcounsels@gmail.com - 2012-04-08 22:58 -0700
                Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles James Dow Allen <jdallen2000@yahoo.com> - 2012-04-09 04:19 -0700
                  Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles biject <biject.bwts@gmail.com> - 2012-04-09 09:03 -0700
                    Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles LawCounsels@aol.com - 2012-04-10 02:29 -0700
                      Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles James Dow Allen <jdallen2000@yahoo.com> - 2012-04-10 05:43 -0700
                        Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles lawcounsels@gmail.com - 2012-04-10 06:39 -0700
                          Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles lawcounsels@gmail.com - 2012-04-10 06:51 -0700
                            Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles lawcounsels@gmail.com - 2012-04-10 07:29 -0700
                              I knew I was going to dislike New Google Groups! James Dow Allen <jdallen2000@yahoo.com> - 2012-04-10 09:03 -0700
                                Re: I knew I was going to dislike New Google Groups! LawCounsels <lawcounsels@gmail.com> - 2012-04-10 09:56 -0700
                                  Re: I knew I was going to dislike New Google Groups! James Dow Allen <jdallen2000@yahoo.com> - 2012-04-10 10:34 -0700
                                    Re: I knew I was going to dislike New Google Groups! lawcounsels@gmail.com - 2012-04-10 10:54 -0700
                                      Re: I knew I was going to dislike New Google Groups! James Dow Allen <jdallen2000@yahoo.com> - 2012-04-11 13:16 -0700
                                        Re: I knew I was going to dislike New Google Groups! LawCounsels <lawcounsels@gmail.com> - 2012-04-12 03:10 -0700
                                          Re: I knew I was going to dislike New Google Groups! LawCounsels <lawcounsels@gmail.com> - 2012-04-12 03:57 -0700
                                            Re: I knew I was going to dislike New Google Groups! biject <biject.bwts@gmail.com> - 2012-04-12 08:38 -0700
                                              Re: I knew I was going to dislike New Google Groups! LawCounsels <lawcounsels@gmail.com> - 2012-04-13 02:34 -0700
                                  Re: I knew I was going to dislike New Google Groups! Fibonacci Code <anglikai@gmail.com> - 2012-04-30 07:36 -0700
                                    Re: I knew I was going to dislike New Google Groups! lawcounsels@gmail.com - 2012-04-30 08:34 -0700
                                      Re: I knew I was going to dislike New Google Groups! Thomas Richter <thor@math.tu-berlin.de> - 2012-04-30 18:53 +0200
                                      Re: I knew I was going to dislike New Google Groups! Fibonacci Code <anglikai@gmail.com> - 2012-04-30 09:58 -0700
                                        Re: I knew I was going to dislike New Google Groups! lawcounsels@gmail.com - 2012-04-30 10:18 -0700
                      Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles LawCounsels@aol.com - 2012-04-10 05:58 -0700
                      Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles biject <biject.bwts@gmail.com> - 2012-04-10 07:26 -0700
                        Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles LawCounsels <lawcounsels@gmail.com> - 2012-04-10 08:10 -0700
                          Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles biject <biject.bwts@gmail.com> - 2012-04-10 11:02 -0700
                            Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles LawCounsels <lawcounsels@gmail.com> - 2012-04-11 02:43 -0700
                      Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles Thomas Richter <thor@math.tu-berlin.de> - 2012-04-11 02:47 +0200
                        Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles LawCounsels <lawcounsels@gmail.com> - 2012-04-11 02:56 -0700
                          Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles Thomas Richter <thor@math.tu-berlin.de> - 2012-04-11 16:26 +0200
                            Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles James Dow Allen <jdallen2000@yahoo.com> - 2012-04-11 07:36 -0700
                              Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles LawCounsels@aol.com - 2012-04-11 10:29 -0700
                              Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles Thomas Richter <thor@math.tu-berlin.de> - 2012-04-12 02:27 +0200
                                Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles LawCounsels <lawcounsels@gmail.com> - 2012-04-12 03:08 -0700
                                  Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles LawCounsels <lawcounsels@gmail.com> - 2012-04-12 03:34 -0700
                                    Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles Thomas Richter <thor@math.tu-berlin.de> - 2012-04-13 13:48 +0200
                                      Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles James Dow Allen <jdallen2000@yahoo.com> - 2012-04-13 05:15 -0700
                                        Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles lawcounsels@gmail.com - 2012-04-13 06:57 -0700
                                          Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles lawcounsels@gmail.com - 2012-04-13 07:03 -0700
                                      Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles lawcounsels@gmail.com - 2012-04-13 06:52 -0700
                                        Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles Thomas Richter <thor@math.tu-berlin.de> - 2012-04-14 00:54 +0200
                                          Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles LawCounsels <lawcounsels@gmail.com> - 2012-04-16 02:48 -0700
                                            Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles Thomas Richter <thor@math.tu-berlin.de> - 2012-04-16 13:08 +0200
                                              Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles lawcounsels@gmail.com - 2012-04-16 04:40 -0700
                                              Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles James Dow Allen <jdallen2000@yahoo.com> - 2012-04-16 08:11 -0700
                                                Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles Thomas Richter <thor@math.tu-berlin.de> - 2012-04-16 19:31 +0200
                                                  Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles James Dow Allen <jdallen2000@yahoo.com> - 2012-04-16 14:27 -0700
                                                    Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles LawCounsels <lawcounsels@gmail.com> - 2012-04-24 03:46 -0700
                                                      Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles Jim Leonard <mobygamer@gmail.com> - 2012-04-24 07:27 -0700
                                                      Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles Fibonacci Code <anglikai@gmail.com> - 2012-04-28 09:55 -0700
                      Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles LawCounsels <lawcounsels@gmail.com> - 2012-04-16 02:34 -0700
      Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles LawCounsels@aol.com - 2012-04-04 00:35 -0700
        Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles LawCounsels@aol.com - 2012-04-04 00:38 -0700
          Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles LawCounsels@aol.com - 2012-04-04 04:06 -0700
    Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles Ernst <Ernst_Berg@sbcglobal.net> - 2012-04-06 19:48 -0700
    Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles LawCounsels@aol.com - 2012-04-07 02:28 -0700
      Re: Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles lawcounsels@gmail.com - 2012-04-07 03:22 -0700

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#1208

FromErnst <Ernst_Berg@sbcglobal.net>
Date2012-04-06 19:48 -0700
Message-ID<93143ec3-0d08-4d04-b6b1-c6d07ee8b941@h10g2000pbi.googlegroups.com>
In reply to#1201
On Mar 31, 10:32 am, LawCouns...@aol.com wrote:
> Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles now comes to this :
>
> http://groups.google.com/group/comp.compression/browse_thread/thread/...
>
> can each of these many 'start'/ 'end' sequences  ( each consists of ternary
> symbols a b c only condition here is total# of c ALWAYS exact = total# b + 2  &
> this occurs only at EOSequence , ie at any stage IF progressive total#
> c becomes = progressive # b  + 2    then a sequence ends ....  total# a  unrestricted , but usually around same as total# b BUT this is irrelevant ) be better represented encoded 'shorter'.... take care the encoded bitstring MUST be self-delimiting meaning unambiguous as to where the encoded bitsstring ends ( subsequent follows / merged with other bits , needs able distinguish this boundary from the encoded bitstring itself )
>
> The entropy of all these many 'start'/'end' sequences together with
> total N symbols ( total # a + total # b + total # c = N , which is N * 1.5 binary bits )  already OBVIOUS smaller than N * 1.5 binary bits
>
> REWARDS for 1st person put forth a practical solution , and REWARDS also for the best practical solution put forth
>
> Look Forward ,
> LawCounsels

How interesting.. I work with self delimited strings.
 As for encoding long with shorter? Not a chance.  One to One, yes
but, not One to less than One from all I know. Still it's interesting
to actually see pattern matching happening.

 That is the basis of my pattern matching exercises I'm working on.

 Now this is a dictionary effort and a fill the array with some
pattern type of effort. Be it Pi sequence or other.

 If you are interested in what you say perhaps the Cyclic Codes are
what you want to read about.  Perhaps you will find an algebraic
system just to your liking.

 Good luck!

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#1210

FromLawCounsels@aol.com
Date2012-04-07 02:28 -0700
Message-ID<3247585.446.1333790922135.JavaMail.geo-discussion-forums@vbue17>
In reply to#1201
On Saturday, March 31, 2012 6:32:32 PM UTC+1, LawCo...@aol.com wrote:
> Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles now comes to this :
> 
> http://groups.google.com/group/comp.compression/browse_thread/thread/c3b4127eab5f7a0e?hl=en# 
> 
> can each of these many 'start'/ 'end' sequences  ( each consists of ternary
> symbols a b c only condition here is total# of c ALWAYS exact = total# b + 2  &
> this occurs only at EOSequence , ie at any stage IF progressive total#
> c becomes = progressive # b  + 2    then a sequence ends ....  total# a  unrestricted , but usually around same as total# b BUT this is irrelevant ) be better represented encoded 'shorter'.... take care the encoded bitstring MUST be self-delimiting meaning unambiguous as to where the encoded bitsstring ends ( subsequent follows / merged with other bits , needs able distinguish this boundary from the encoded bitstring itself )  
> 
> The entropy of all these many 'start'/'end' sequences together with
> total N symbols ( total # a + total # b + total # c = N , which is N * 1.5 binary bits )  already OBVIOUS smaller than N * 1.5 binary bits
> 
> REWARDS for 1st person put forth a practical solution , and REWARDS also for the best practical solution put forth 
> 
> Look Forward , 
> LawCounsels

This topic is very different 'SPECIFIC' now clear capable of scientific investigation methods clear conclusion , for the very 1ST TIME EVER this came to be possible to be so very clear 'framed' , also for very 1ST TIME EVER 'random' bits has been transformed into non-random clear 'structured' output sub-sequence with distributions bias  ) :

. can the specified symbols sequences ( definite NOT random shows distributions bias and clear structured ) be encoded more economic ? IF SO , HOW ? 

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#1211

Fromlawcounsels@gmail.com
Date2012-04-07 03:22 -0700
Message-ID<26946094.54.1333794143064.JavaMail.geo-discussion-forums@vbbfj25>
In reply to#1210
On Saturday, April 7, 2012 10:28:42 AM UTC+1, LawCo...@aol.com wrote:
> On Saturday, March 31, 2012 6:32:32 PM UTC+1, LawCo...@aol.com wrote:
> > Mankind's centuries old Kraft's Inequality / Pigeonholes hurdles now comes to this :
> > 
> > http://groups.google.com/group/comp.compression/browse_thread/thread/c3b4127eab5f7a0e?hl=en# 
> > 
> > can each of these many 'start'/ 'end' sequences  ( each consists of ternary
> > symbols a b c only condition here is total# of c ALWAYS exact = total# b + 2  &
> > this occurs only at EOSequence , ie at any stage IF progressive total#
> > c becomes = progressive # b  + 2    then a sequence ends ....  total# a  unrestricted , but usually around same as total# b BUT this is irrelevant ) be better represented encoded 'shorter'.... take care the encoded bitstring MUST be self-delimiting meaning unambiguous as to where the encoded bitsstring ends ( subsequent follows / merged with other bits , needs able distinguish this boundary from the encoded bitstring itself )  
> > 
> > The entropy of all these many 'start'/'end' sequences together with
> > total N symbols ( total # a + total # b + total # c = N , which is N * 1.5 binary bits )  already OBVIOUS smaller than N * 1.5 binary bits
> > 
> > REWARDS for 1st person put forth a practical solution , and REWARDS also for the best practical solution put forth 
> > 
> > Look Forward , 
> > LawCounsels
> 
> This topic is very different 'SPECIFIC' now clear capable of scientific investigation methods clear conclusion , for the very 1ST TIME EVER this came to be possible to be so very clear 'framed' , also for very 1ST TIME EVER 'random' bits has been transformed into non-random clear 'structured' output sub-sequence with distributions bias  ) :
> 
> . can the specified symbols sequences ( definite NOT random shows distributions bias and clear structured ) be encoded more economic ? IF SO , HOW ?

....... for VERY 1ST TIME EVER 'random' bits has been transformed into non-random clear 'structured' output sub-sequence with distributions bias [ unlike Mark Nelson AMillionRandomDigits complete devoid of any discernible structures whatsoever ] 

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