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Lexicographic Numbers and a little math

Topic closed. 84 replies. Last post 6 years ago by gpagator.

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RL-RANDOMLOGIC's avatar - usafce

United States
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March 13, 2008
4083 Posts
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Posted: April 15, 2011, 10:39 pm - IP Logged

Hello everyone

I am starting a new topic on lexicographic number selection in hopes of gaining some new ideas.

I have been working with lexi's for several years and will be posting links to download software

as this moves along.  I hope to pull in a few pick-3 pick-4 players along the way as I think that

they may have much to say or add to this post.  This might be a way for pick3/4 players to put

there skills to use for the big games and also help big-game players improve their play at the same

time. 

In a 5-39 game there are 575757 sets that can be numbered from 1 to 57575 but if you pad this

value with (0's) you can then divide it into two pick-3's.   To start with we would have 000,001 to

575,757 the front-3 with odds of 1 in 575 and The back 3 have odds of 1 in 757.  I have the software

that can make all the conversions and I will be posting this in a few days for anyone interested.  The

good thing about this is that it is possible to miss all the selections and still end up with lower prizes

so to start of with I want to show a few tricks. 

LV = Lexicographic Value

Last nights drawing = [01 04 07 11 24]    LV =016012  front 3 = [016]  back-3 = [012]

If a person could hit these both then they could hit a 5 of 5 with one set but that would not be easy to do. 

This next information is a little hard to understand so you may need to read it a few times to understand

what I am doing.  Because the back 3 could be any value from 000 to 999 depending on the front-3 digits

I use a little trick to help reduce the field.  The set  10-16-19-35-37 = LV 446999 but above I said that the

back-3 has a range of 000 to 757.  Here is a simple trick to give the back 3 the same conditions as the

front-3. 

Example

first add 1 to the greatest value in the matrix in this case it is 39.  39 + 1 = 40  now using 40 subtract the

numbers from the set like this. set = 01-04-07-11-24

40-24 = 16

40-11 = 29

40-7  =  33

40-4  =  36

40-1  =  39

You now have the set 16-29-33-36-39  LV = 541875.  Note, remember the first 3 cannot be greater then 575

You may be asking how can this help. remember above that I said the range for the first three digits were

000 to 575 by using this trick the back-3 have the same odds.  You now have two pick-3 games with odds

of 1 in 575.  In simple you use the converted data to analyze thrn the software reverses the process and gives

you the numbers.  Without this conversion the each digit in the back-6 could be 0 to 9 and with the conversion

the first digit has a range of 0 to 5.  The second digits in the back-3 range is limited by the first digit selection

because the 3 digits combined cannot exceed 575.  So if the first digit in the B-3 is 5 then the second digit must

not be graeter then 7.  If the second B-3 digit = 7 then the third digit cannot be greater then 5.  I have been toying

with this for years to help me set a range for the first and fifth numbers that I use with my digit system.  The way

I use it now is to range the first 2 digits in both the F-3 and B-3 to within a 2 digit span.  This gives me a very small

range for the first and last numbers in my sets.  Many times using this method I can end up with two first numbers

and two fifth numbers thus truning the Pick-5 into a keyed wheel assigning 2 numbers to the 1st and 2 numbers to

the 5th position.  Many times using only the first lexi digit for F-3 and B-3 will determind the first and fifth numbers in

the set.  I am hoping that someone might probe this a little more and see what falls out.  The math behind this has not

been worked out completely and I invite anyone to pitch in.  I posted this in the math forum because I think most of

the replies will be in terms of odds and that is what I am interested in. 

 

RL

    RL-RANDOMLOGIC's avatar - usafce

    United States
    Member #59354
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    4083 Posts
    Offline
    Posted: April 15, 2011, 10:56 pm - IP Logged

    Just wanted to clear something up.  When I refer to the front-3 and back-3 I am really refering to the 

    front-3 from the original and the front-3 from the reversed lexi.  The last 3 digits for both are never

    used so just ignore them.  From this point they will be called Foward lexi = (FL) and Reverse lexi = (RL) 

    RL 

      CARBOB's avatar - FL LOTTERY_LOGO.png
      ORLANDO, FLORIDA
      United States
      Member #4924
      June 3, 2004
      5970 Posts
      Offline
      Posted: April 16, 2011, 10:29 am - IP Logged

      Thanks RL, this could be very interesting. Learning something new, sometimes helps.

        garyo1954's avatar - garyo
        Dallas, Texas
        United States
        Member #4549
        May 2, 2004
        1834 Posts
        Offline
        Posted: April 16, 2011, 11:25 am - IP Logged

        Hello everyone

        I am starting a new topic on lexicographic number selection in hopes of gaining some new ideas.

        I have been working with lexi's for several years and will be posting links to download software

        as this moves along.  I hope to pull in a few pick-3 pick-4 players along the way as I think that

        they may have much to say or add to this post.  This might be a way for pick3/4 players to put

        there skills to use for the big games and also help big-game players improve their play at the same

        time. 

        In a 5-39 game there are 575757 sets that can be numbered from 1 to 57575 but if you pad this

        value with (0's) you can then divide it into two pick-3's.   To start with we would have 000,001 to

        575,757 the front-3 with odds of 1 in 575 and The back 3 have odds of 1 in 757.  I have the software

        that can make all the conversions and I will be posting this in a few days for anyone interested.  The

        good thing about this is that it is possible to miss all the selections and still end up with lower prizes

        so to start of with I want to show a few tricks. 

        LV = Lexicographic Value

        Last nights drawing = [01 04 07 11 24]    LV =016012  front 3 = [016]  back-3 = [012]

        If a person could hit these both then they could hit a 5 of 5 with one set but that would not be easy to do. 

        This next information is a little hard to understand so you may need to read it a few times to understand

        what I am doing.  Because the back 3 could be any value from 000 to 999 depending on the front-3 digits

        I use a little trick to help reduce the field.  The set  10-16-19-35-37 = LV 446999 but above I said that the

        back-3 has a range of 000 to 757.  Here is a simple trick to give the back 3 the same conditions as the

        front-3. 

        Example

        first add 1 to the greatest value in the matrix in this case it is 39.  39 + 1 = 40  now using 40 subtract the

        numbers from the set like this. set = 01-04-07-11-24

        40-24 = 16

        40-11 = 29

        40-7  =  33

        40-4  =  36

        40-1  =  39

        You now have the set 16-29-33-36-39  LV = 541875.  Note, remember the first 3 cannot be greater then 575

        You may be asking how can this help. remember above that I said the range for the first three digits were

        000 to 575 by using this trick the back-3 have the same odds.  You now have two pick-3 games with odds

        of 1 in 575.  In simple you use the converted data to analyze thrn the software reverses the process and gives

        you the numbers.  Without this conversion the each digit in the back-6 could be 0 to 9 and with the conversion

        the first digit has a range of 0 to 5.  The second digits in the back-3 range is limited by the first digit selection

        because the 3 digits combined cannot exceed 575.  So if the first digit in the B-3 is 5 then the second digit must

        not be graeter then 7.  If the second B-3 digit = 7 then the third digit cannot be greater then 5.  I have been toying

        with this for years to help me set a range for the first and fifth numbers that I use with my digit system.  The way

        I use it now is to range the first 2 digits in both the F-3 and B-3 to within a 2 digit span.  This gives me a very small

        range for the first and last numbers in my sets.  Many times using this method I can end up with two first numbers

        and two fifth numbers thus truning the Pick-5 into a keyed wheel assigning 2 numbers to the 1st and 2 numbers to

        the 5th position.  Many times using only the first lexi digit for F-3 and B-3 will determind the first and fifth numbers in

        the set.  I am hoping that someone might probe this a little more and see what falls out.  The math behind this has not

        been worked out completely and I invite anyone to pitch in.  I posted this in the math forum because I think most of

        the replies will be in terms of odds and that is what I am interested in. 

         

        RL

        RL,

        Great idea! Sounds like you are on to something that will help the Pick 3 players relate to the jackpot games. You got my help on it. 

        The lexicon value for each each number is derived by it's place in the overall 575,757 combinations scheme. So [01 04 07 11 24] is the 016012 combination of the 575,757.

        So far so good.

        I'm getting confused at the 16-29-33-36-39 LV = 541875. If the back set has 757 possible, then 875 exceeds that. How are we going to compensate?

          garyo1954's avatar - garyo
          Dallas, Texas
          United States
          Member #4549
          May 2, 2004
          1834 Posts
          Offline
          Posted: April 17, 2011, 1:14 am - IP Logged

          This is a large Excel file (21.3 Megs) but it will give everyone the opportunity to see the combinations and the lexicon equilvalents in the 5/39 games. 

          Click here for download.

            RL-RANDOMLOGIC's avatar - usafce

            United States
            Member #59354
            March 13, 2008
            4083 Posts
            Offline
            Posted: April 17, 2011, 5:46 am - IP Logged

            Just wanted to let everyone know that I got pulled away on another project and it will be a

            couple days before I can get back to this.  As Arnold would say, "I'll be back"

            RL

              Avatar

              United States
              Member #105312
              January 29, 2011
              435 Posts
              Offline
              Posted: April 17, 2011, 9:53 am - IP Logged

              Just wanted to let everyone know that I got pulled away on another project and it will be a

              couple days before I can get back to this.  As Arnold would say, "I'll be back"

              RL

              Doug MacArthur said that the night he snuck out of Corregidor in a PT boat, March 12, 1942, and left his troops to surrender to the Japanese and be entertained by the Bataan Death March.  When the got back they'd all gone somewhere else.

              Don't wait too long is the moral of that.

              Good luck.

                garyo1954's avatar - garyo
                Dallas, Texas
                United States
                Member #4549
                May 2, 2004
                1834 Posts
                Offline
                Posted: April 17, 2011, 1:21 pm - IP Logged

                RL,

                Stay safe! Keep in touch.

                  RL-RANDOMLOGIC's avatar - usafce

                  United States
                  Member #59354
                  March 13, 2008
                  4083 Posts
                  Offline
                  Posted: April 20, 2011, 3:31 am - IP Logged

                  Still a couple more days before I can get back to this.  I was able to get some of the software done so

                  keep checking back

                   

                  RL

                    RL-RANDOMLOGIC's avatar - usafce

                    United States
                    Member #59354
                    March 13, 2008
                    4083 Posts
                    Offline
                    Posted: April 22, 2011, 3:44 am - IP Logged

                    Hello

                    Below is a link to the first program, just run the setup and it's ready to go.  This program is a stand alone

                    program and does not change any settings on your computer. It just installs the program and creates a 

                    shortcut to run it.  Just copy and paste the link below and it will take you to the download.  This program

                    is a lexi-calculator and will be used later in this post to help explain the how I use lexigraphic values to 

                    select my first and fifth numbers in a set.  Windows vista / 7 users may get a security warning when dealing

                    with EXE files but the program is harmless.  There is a Pic  named LEX1.png that shows a few of the options and 

                    settings it will be in the main folder with the program. 

                     

                    http://www.box.net/shared/7d5sf6jmpx

                     

                    RL

                      RL-RANDOMLOGIC's avatar - usafce

                      United States
                      Member #59354
                      March 13, 2008
                      4083 Posts
                      Offline
                      Posted: April 22, 2011, 8:49 pm - IP Logged

                      Below is a list for a 5-39 game showing the Lexigraphic value the set and the mirror set.
                      The mirror of a set is calculated by adding 1 to the highest number in the matrix and then
                      subtracting each of the 5 numbers from this value.

                      Lexi    Normal SET          Mirror set 

                      000001  01 02 03 04 05  --  39 38 37 36 35 
                      000002  01 02 03 04 06  --  39 38 37 36 34 
                      000003  01 02 03 04 07  --  39 38 37 36 33 
                      000004  01 02 03 04 08  --  39 38 37 36 32 
                      000005  01 02 03 04 09  --  39 38 37 36 31 
                      000006  01 02 03 04 10  --  39 38 37 36 30 
                      000007  01 02 03 04 11  --  39 38 37 36 29 
                      000008  01 02 03 04 12  --  39 38 37 36 28 
                      000009  01 02 03 04 13  --  39 38 37 36 27 
                      000010  01 02 03 04 14  --  39 38 37 36 26 
                      000011  01 02 03 04 15  --  39 38 37 36 25 
                      000012  01 02 03 04 16  --  39 38 37 36 24 
                      000013  01 02 03 04 17  --  39 38 37 36 23 
                      000014  01 02 03 04 18  --  39 38 37 36 22 
                      000015  01 02 03 04 19  --  39 38 37 36 21 
                      000016  01 02 03 04 20  --  39 38 37 36 20 
                      000017  01 02 03 04 21  --  39 38 37 36 19 
                      000018  01 02 03 04 22  --  39 38 37 36 18 
                      000019  01 02 03 04 23  --  39 38 37 36 17 
                      000020  01 02 03 04 24  --  39 38 37 36 16 


                      Mirror Example set = 01 15 22 27 38

                      39 = numbers in matrix so 39 + 1 = 40

                      40 -01 = 39
                      40 -15 = 25
                      40 -22 = 18
                      40 -27 = 13
                      40 -38 = 02

                      mirror set = 39 25 18 13 02.  Now reverse the order and you have 02 13 18 25 39. The term
                      reverse-lexi or RL is the lexigraphic value of this mirror set which would be 123489. 
                       
                      123486  02 13 18 25 36  --  38 27 22 15 04 
                      123487  02 13 18 25 37  --  38 27 22 15 03 
                      123488  02 13 18 25 38  --  38 27 22 15 02 
                      123489  02 13 18 25 39  --  38 27 22 15 01 <-------
                      123490  02 13 18 26 27  --  38 27 22 14 13 
                      123491  02 13 18 26 28  --  38 27 22 14 12 
                      123492  02 13 18 26 29  --  38 27 22 14 11 


                      Notice in the top list of sets how that the first number is 01 in every set while the fifth
                      number changes in each set.  Now lets say that you think that the lexi value for the next
                      draw will be between 210000 and 247999. Now if you look at the first numbers of the sets
                      between this range you will find 210000 = set 04 06 28 30 35 and lexi 247999 = 04 21 31 34 39.
                      From this information you can see that all the sets between this range start with the number 04.
                      so if you could range the foward lexi and be correct then the first number in the next draw will
                      be 04.
                       
                      209998  04 06 28 30 33  --  36 34 12 10 07 
                      209999  04 06 28 30 34  --  36 34 12 10 06 
                      210000  04 06 28 30 35  --  36 34 12 10 05  <--- starting set
                      210001  04 06 28 30 36  --  36 34 12 10 04 
                      210002  04 06 28 30 37  --  36 34 12 10 03 
                      ""  ""  ""  ""  ""  ""  ""   ""  ""  ""  "   
                      247997  04 21 31 34 37  --  36 19 09 06 03 
                      247998  04 21 31 34 38  --  36 19 09 06 02 
                      247999  04 21 31 34 39  --  36 19 09 06 01  <--- ending point 
                      248000  04 21 31 35 36  --  36 19 09 05 04 
                      248001  04 21 31 35 37  --  36 19 09 05 03 


                      ____________________________________________________________________

                      However if you look at all the 5th numbers of the sets between 210000 and 247999 then you will
                      find every number from 10 to 39. This is where the mirror and RL values come into play. Notice
                      that when you mirror the sets then the highest number in the set acts as the first number does
                      in the normal set, meaning that all the fifth numbers are now in order and the lowest number in
                      each set changes with each set. Now you can set a range for the mirror. Lets say that for the
                      reverse lexi we think that the next draw
                      next draw we think the RL will between 125000 to 195999.

                      124998  02 14 15 20 22  --  38 26 25 20 18 
                      124999  02 14 15 20 23  --  38 26 25 20 17 
                      125000  02 14 15 20 24  --  38 26 25 20 16  <--- starting set
                      125001  02 14 15 20 25  --  38 26 25 20 15 
                      125002  02 14 15 20 26  --  38 26 25 20 14 
                      ""  ""  ""  ""  ""  ""  ""   ""  ""  ""  "       
                      195997  03 22 25 32 36  --  37 18 15 08 04 
                      195998  03 22 25 32 37  --  37 18 15 08 03 
                      195999  03 22 25 32 38  --  37 18 15 08 02  <--- ending set
                      196000  03 22 25 32 39  --  37 18 15 08 01 
                      196001  03 22 25 33 34  --  37 18 15 07 06   

                      Looking at the mirror sets we find that the first numbers will be 37 or 38.  So if one chooses
                      the FL and RL values correctly then the next draws first number will be 04 and the last number
                      will be 37 or 38.
                      The software I provided a link to allows the user to set a low and hi range for both the FL and RL
                      and then it does all the calculations and produces the first and last number/numbers for the
                      range you have selected. This could be done by hand if you had a list of all the sets for your
                      matrix but these would be very large files and it could get confusing at times making all the
                      conversions needed. 

                      For years in my spare time I have been working on this to find a similar method to resolve the
                      third number from a lexi-like value and consider this the lottery holy-grail. Many SP players
                      often range numbers by position and this is just another method that could be used. Because of
                      the way the numbers are sorted by this method the reverse lexi range will be the same as the
                      foward lexi range. Since this method only requires the first 3 digits of the lexigraphic value
                      then the fild of choices is limited to these 3 digits.  A 5-36 game would range from 000 to 376
                      and Powerball is 000 to 500.  The software adds 0's to the end of the low value and 9's to the
                      end of the hi value.  This ensures that all sets will be covered in the range.  So in a 5-39
                      game if FL low is set to 015 and FL hi is set to 125 then the range covered will be 015000 to
                      125999.


                      The reason for doing this is to give the user a sort of keyed wheel where you can say which number
                      or numbers are for the first position and which number/numbers for the fifth. If one can correctly
                      select the range for these values then you will have both the first and fifth numbers within a very
                      small group.

                      The program has a set generator that will build all the sets between the low/hi ranges. Depending on
                      the ranges set this will often be to many to play but if your range selections are correct and produce
                      one number for both the first and fifth then every set will have a 2 of 5 match. If you could find
                      a keyed number wheel that would allow you to input the numbers goten from this program and then
                      allowed all the rest of the numbers to hit as the other three then a three of five could be gotten
                      within very few sets.

                      There is quite a lot more to be said about using this in many different ways. I also think that
                      since we are working with only a 3 digit value that the pick-3 players might be able to add some
                      good suggestions or help in working out the ranges. A pick-3/4 version of this might also be
                      possible.

                      Please feel free to jump in and say whatever turns your knob. I would like to hear any suggestions.
                      the math behind this and the odds are also welcome. This is a work in progress.

                      PS if you see something that does not add up then please comment because I may have made a mistake.
                      several people have already downloaded the software and if you have questions ask them here. This
                      will allow me to reply once and may answer others questions at the same time.
                       
                      RL

                        garyo1954's avatar - garyo
                        Dallas, Texas
                        United States
                        Member #4549
                        May 2, 2004
                        1834 Posts
                        Offline
                        Posted: April 23, 2011, 2:12 am - IP Logged

                        Great post RL! Good stuff. I'll have to read it carefully and keep up with everything.

                        Here's the link to the boxnet file right?  Click the blue to get it.

                        Nice chart explaining the program too! Thanks!

                         

                          RL-RANDOMLOGIC's avatar - usafce

                          United States
                          Member #59354
                          March 13, 2008
                          4083 Posts
                          Offline
                          Posted: April 23, 2011, 3:14 am - IP Logged

                          Gary

                          Thanks for posting the pic and the download link

                          RL

                            Avatar

                            United States
                            Member #105312
                            January 29, 2011
                            435 Posts
                            Offline
                            Posted: April 23, 2011, 8:42 am - IP Logged

                            Below is a list for a 5-39 game showing the Lexigraphic value the set and the mirror set.
                            The mirror of a set is calculated by adding 1 to the highest number in the matrix and then
                            subtracting each of the 5 numbers from this value.

                            Lexi    Normal SET          Mirror set 

                            000001  01 02 03 04 05  --  39 38 37 36 35 
                            000002  01 02 03 04 06  --  39 38 37 36 34 
                            000003  01 02 03 04 07  --  39 38 37 36 33 
                            000004  01 02 03 04 08  --  39 38 37 36 32 
                            000005  01 02 03 04 09  --  39 38 37 36 31 
                            000006  01 02 03 04 10  --  39 38 37 36 30 
                            000007  01 02 03 04 11  --  39 38 37 36 29 
                            000008  01 02 03 04 12  --  39 38 37 36 28 
                            000009  01 02 03 04 13  --  39 38 37 36 27 
                            000010  01 02 03 04 14  --  39 38 37 36 26 
                            000011  01 02 03 04 15  --  39 38 37 36 25 
                            000012  01 02 03 04 16  --  39 38 37 36 24 
                            000013  01 02 03 04 17  --  39 38 37 36 23 
                            000014  01 02 03 04 18  --  39 38 37 36 22 
                            000015  01 02 03 04 19  --  39 38 37 36 21 
                            000016  01 02 03 04 20  --  39 38 37 36 20 
                            000017  01 02 03 04 21  --  39 38 37 36 19 
                            000018  01 02 03 04 22  --  39 38 37 36 18 
                            000019  01 02 03 04 23  --  39 38 37 36 17 
                            000020  01 02 03 04 24  --  39 38 37 36 16 


                            Mirror Example set = 01 15 22 27 38

                            39 = numbers in matrix so 39 + 1 = 40

                            40 -01 = 39
                            40 -15 = 25
                            40 -22 = 18
                            40 -27 = 13
                            40 -38 = 02

                            mirror set = 39 25 18 13 02.  Now reverse the order and you have 02 13 18 25 39. The term
                            reverse-lexi or RL is the lexigraphic value of this mirror set which would be 123489. 
                             
                            123486  02 13 18 25 36  --  38 27 22 15 04 
                            123487  02 13 18 25 37  --  38 27 22 15 03 
                            123488  02 13 18 25 38  --  38 27 22 15 02 
                            123489  02 13 18 25 39  --  38 27 22 15 01 <-------
                            123490  02 13 18 26 27  --  38 27 22 14 13 
                            123491  02 13 18 26 28  --  38 27 22 14 12 
                            123492  02 13 18 26 29  --  38 27 22 14 11 


                            Notice in the top list of sets how that the first number is 01 in every set while the fifth
                            number changes in each set.  Now lets say that you think that the lexi value for the next
                            draw will be between 210000 and 247999. Now if you look at the first numbers of the sets
                            between this range you will find 210000 = set 04 06 28 30 35 and lexi 247999 = 04 21 31 34 39.
                            From this information you can see that all the sets between this range start with the number 04.
                            so if you could range the foward lexi and be correct then the first number in the next draw will
                            be 04.
                             
                            209998  04 06 28 30 33  --  36 34 12 10 07 
                            209999  04 06 28 30 34  --  36 34 12 10 06 
                            210000  04 06 28 30 35  --  36 34 12 10 05  <--- starting set
                            210001  04 06 28 30 36  --  36 34 12 10 04 
                            210002  04 06 28 30 37  --  36 34 12 10 03 
                            ""  ""  ""  ""  ""  ""  ""   ""  ""  ""  "   
                            247997  04 21 31 34 37  --  36 19 09 06 03 
                            247998  04 21 31 34 38  --  36 19 09 06 02 
                            247999  04 21 31 34 39  --  36 19 09 06 01  <--- ending point 
                            248000  04 21 31 35 36  --  36 19 09 05 04 
                            248001  04 21 31 35 37  --  36 19 09 05 03 


                            ____________________________________________________________________

                            However if you look at all the 5th numbers of the sets between 210000 and 247999 then you will
                            find every number from 10 to 39. This is where the mirror and RL values come into play. Notice
                            that when you mirror the sets then the highest number in the set acts as the first number does
                            in the normal set, meaning that all the fifth numbers are now in order and the lowest number in
                            each set changes with each set. Now you can set a range for the mirror. Lets say that for the
                            reverse lexi we think that the next draw
                            next draw we think the RL will between 125000 to 195999.

                            124998  02 14 15 20 22  --  38 26 25 20 18 
                            124999  02 14 15 20 23  --  38 26 25 20 17 
                            125000  02 14 15 20 24  --  38 26 25 20 16  <--- starting set
                            125001  02 14 15 20 25  --  38 26 25 20 15 
                            125002  02 14 15 20 26  --  38 26 25 20 14 
                            ""  ""  ""  ""  ""  ""  ""   ""  ""  ""  "       
                            195997  03 22 25 32 36  --  37 18 15 08 04 
                            195998  03 22 25 32 37  --  37 18 15 08 03 
                            195999  03 22 25 32 38  --  37 18 15 08 02  <--- ending set
                            196000  03 22 25 32 39  --  37 18 15 08 01 
                            196001  03 22 25 33 34  --  37 18 15 07 06   

                            Looking at the mirror sets we find that the first numbers will be 37 or 38.  So if one chooses
                            the FL and RL values correctly then the next draws first number will be 04 and the last number
                            will be 37 or 38.
                            The software I provided a link to allows the user to set a low and hi range for both the FL and RL
                            and then it does all the calculations and produces the first and last number/numbers for the
                            range you have selected. This could be done by hand if you had a list of all the sets for your
                            matrix but these would be very large files and it could get confusing at times making all the
                            conversions needed. 

                            For years in my spare time I have been working on this to find a similar method to resolve the
                            third number from a lexi-like value and consider this the lottery holy-grail. Many SP players
                            often range numbers by position and this is just another method that could be used. Because of
                            the way the numbers are sorted by this method the reverse lexi range will be the same as the
                            foward lexi range. Since this method only requires the first 3 digits of the lexigraphic value
                            then the fild of choices is limited to these 3 digits.  A 5-36 game would range from 000 to 376
                            and Powerball is 000 to 500.  The software adds 0's to the end of the low value and 9's to the
                            end of the hi value.  This ensures that all sets will be covered in the range.  So in a 5-39
                            game if FL low is set to 015 and FL hi is set to 125 then the range covered will be 015000 to
                            125999.


                            The reason for doing this is to give the user a sort of keyed wheel where you can say which number
                            or numbers are for the first position and which number/numbers for the fifth. If one can correctly
                            select the range for these values then you will have both the first and fifth numbers within a very
                            small group.

                            The program has a set generator that will build all the sets between the low/hi ranges. Depending on
                            the ranges set this will often be to many to play but if your range selections are correct and produce
                            one number for both the first and fifth then every set will have a 2 of 5 match. If you could find
                            a keyed number wheel that would allow you to input the numbers goten from this program and then
                            allowed all the rest of the numbers to hit as the other three then a three of five could be gotten
                            within very few sets.

                            There is quite a lot more to be said about using this in many different ways. I also think that
                            since we are working with only a 3 digit value that the pick-3 players might be able to add some
                            good suggestions or help in working out the ranges. A pick-3/4 version of this might also be
                            possible.

                            Please feel free to jump in and say whatever turns your knob. I would like to hear any suggestions.
                            the math behind this and the odds are also welcome. This is a work in progress.

                            PS if you see something that does not add up then please comment because I may have made a mistake.
                            several people have already downloaded the software and if you have questions ask them here. This
                            will allow me to reply once and may answer others questions at the same time.
                             
                            RL

                            Thanks RL.  You are a treasure chest of helpful information and a saint for sharing your work.

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                              United States
                              Member #105312
                              January 29, 2011
                              435 Posts
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                              Posted: April 23, 2011, 8:57 am - IP Logged

                              This is a large Excel file (21.3 Megs) but it will give everyone the opportunity to see the combinations and the lexicon equilvalents in the 5/39 games. 

                              Click here for download.

                              Thanks Gary.  I can't imagine how long it will take to download this but I'm going to do it even if I have to put the computer online at bedtime in hopes of having it finished by the time the roosters start crowing.