Filters, and the impact associated with using them.

[sangoma123]

Hello:

These are the Ulam´s numbers, another possible filter:

1, 2, 3, 4, 6, 8, 11, 13, 16, 18, 26, 28, 36, 38, 47, 48

Regards

 

[PAB]

Hi sangoma123,

I hope you are having a good weekend!

These are the Ulam's numbers, another possible filter:

1, 2, 3, 4, 6, 8, 11, 13, 16, 18, 26, 28, 36, 38, 47, 48

Ulam's numbers table for ALL the combinations in a C(49,6) Lotto:-

0 + 6 = 1,107,568 Combinations
1 + 5 = 3,797,376 Combinations
2 + 4 = 4,910,400 Combinations
3 + 3 = 3,055,360 Combinations
4 + 2 = 960,960 Combinations
5 + 1 = 144,144 Combinations
6 + 0 = 8,008 Combinations

I hope this helps!

Regards,
PAB


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12:45, restate my assumptions.
(1) Mathematics is the language of nature.
(2) Everything around us can be represented and understood through numbers.
(3) If you graph the numbers of any system, patterns emerge. Therefore, there are patterns, everywhere in nature.

 

[jack]

Hello, pab, this same lottery 49/6, When You can make is divided into 4 groups
Example = if we divide into four groups the lottery 49/6, 1st group of 12 by 6 = 924
Times 4 groups = 3966, oops the group the group is 13, is not only important
To show the concept = 4 then all 6 possibilities of falling numbers in each group
Closes around 4000 combinations, 6000,0600,0060,0006,
Good pab, has now to 5100, four possibilities after 4110, Should give a
Turning 30 segments into four groups, the lower goal of 13 million 49/6
For much less, staying the course 100% of course pab you can do this calculation? First you calculate all segments Possible in 4 groups
6000
0600
0006
0060
5100
5010
.... up to 4200, should give about 40 segments we see

 

[sangoma123]

Hello Pab:

Good weekend for you also ¡

Regards

 

[sangoma123]

Hola Pab and other friends:

First, to wish yourselves a happy weekend.

Second,Pab, in a post I recommended to you a so called filter

: " Sum of the last digit ".

Have you got statistics of this filter?.

It is a good filter, and I would like to know the habitual values for 6/49.

(Example:5-14-25-33-36-45 Sum: 28).

(This weekend I cannot answer. Already I will do it on Sunday or Monday)

Thank you and regards.

 

[PAB]

Hi sangoma123,

PAB, in a post I recommended to you a so called filter "Sum of the last digit".

Have you got statistics of this filter?.

It is a good filter, and I would like to know the habitual values for 6/49.

(Example:5-14-25-33-36-45 Sum: 28).

Assuming your combination is in cell B2:G2 then enter this formula in a cell of your choice and copy down:-

IF($B2=0,"",SUMPRODUCT(--(RIGHT($B2:$G2,1))))

I hope this helps!

Regards,
PAB


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12:45, restate my assumptions.
(1) Mathematics is the language of nature.
(2) Everything around us can be represented and understood through numbers.
(3) If you graph the numbers of any system, patterns emerge. Therefore, there are patterns, everywhere in nature.

 

[PAB]

Hi sangoma123,

Have you got statistics of this filter?.
It is a good filter, and I would like to know the habitual values for 6/49.

I looked at this again earlier and wondered if you meant the total combinations for EACH sum total of Last Digits from a C(49, 6) Lotto?

Anyway, I have just written a Macro that gives the SUM total for EACH combination which is from 2...53 and the TOTAL combinations associated with them.

MINIMUM VALUE CHECK

I checked my data using the First total being the MINIMUM SUM value of 2 by doing the following.

There are 4 numbers with the Last Digit of 0, these are 10, 20, 30, 40.
There are 5 numbers with the Last Digit of 1, these are 01, 11, 21, 31, 41.

So taking the fact that we have 4 numbers with 0, we need an extra 2 numbers to complete the combination.
These are made up of 2 numbers from the 5 numbers with the Last Digit of 1.
So C(5, 2) = 10, which is exactly what the First value total combinations equals.

MAXIMUM VALUE CHECK

I checked my data using the Last total being the MAXIMUM SUM value of 53 by doing the following.

There are 5 numbers with the Last Digit of 9, these are 09, 19, 29, 39, 49.
There are 5 numbers with the Last Digit of 8, these are 08, 18, 28, 38, 48.

So taking the fact that we have 5 numbers with 9, we need an extra 1 number to complete the combination.
These are made up of 1 number from the 5 numbers with the Last Digit of 8.
So C(5, 1) = 5, which is exactly what the Last value total combinations equals.

Anyway, here is the table for the SUM total from 2...53 followed by the total combinations for EACH.

02 = 10
03 = 65
04 = 265
05 = 754
06 = 1,800
07 = 3,780
08 = 7,170
09 = 12,670
10 = 21,094
11 = 33,510
12 = 50,935
13 = 74,585
14 = 105,220
15 = 143,874
16 = 190,550
17 = 245,560
18 = 307,930
19 = 376,810
20 = 449,564
21 = 524,225
22 = 596,935
23 = 665,160
24 = 724,775
25 = 773,434
26 = 807,685
27 = 826,375
28 = 827,315
29 = 811,410
30 = 778,854
31 = 732,260
32 = 673,515
33 = 606,385
34 = 533,535
35 = 458,934
36 = 385,235
37 = 315,610
38 = 251,985
39 = 195,935
40 = 147,934
41 = 108,360
42 = 76,730
43 = 52,385
44 = 34,385
45 = 21,584
46 = 12,910
47 = 7,260
48 = 3,780
49 = 1,760
50 = 730
51 = 230
52 = 55
53 = 5
Total = 13,983,816

Have FUN!

Regards,
PAB


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12:45, restate my assumptions.
(1) Mathematics is the language of nature.
(2) Everything around us can be represented and understood through numbers.
(3) If you graph the numbers of any system, patterns emerge. Therefore, there are patterns, everywhere in nature.

 

[PAB]

Just as a follow up and to put this in perspective, I will use the UK Main 649 Lotto results to date.
Here is the table I posted previously but with the UK Main 649 Lotto results in place of the total combinations for C(49, 6).

02 = 0 = 0.0000%
03 = 0 = 0.0000%
04 = 0 = 0.0000%
05 = 0 = 0.0000%
06 = 0 = 0.0000%
07 = 0 = 0.0000%
08 = 0 = 0.0000%
09 = 2 = 0.1108%
10 = 3 = 0.1662%
11 = 5 = 0.2770%
12 = 10 = 0.5540%
13 = 9 = 0.4986%
14 = 14 = 0.7756%
15 = 15 = 0.8310%
16 = 20 = 1.1080%
17 = 27 = 1.4958%
18 = 36 = 1.9945%
19 = 46 = 2.5485%
20 = 75 = 4.1551%
21 = 64 = 3.5457%
22 = 72 = 3.9889%
23 = 90 = 4.9861%
24 = 81 = 4.4875%
25 = 100 = 5.5402%
26 = 99 = 5.4848%
27 = 116 = 6.4266%
28 = 104 = 5.7618%
29 = 92 = 5.0970%
30 = 113 = 6.2604%
31 = 87 = 4.8199%
32 = 107 = 5.9280%
33 = 90 = 4.9861%
34 = 62 = 3.4349%
35 = 47 = 2.6039%
36 = 49 = 2.7147%
37 = 51 = 2.8255%
38 = 37 = 2.0499%
39 = 24 = 1.3296%
40 = 24 = 1.3296%
41 = 10 = 0.5540%
42 = 10 = 0.5540%
43 = 6 = 0.3324%
44 = 2 = 0.1108%
45 = 2 = 0.1108%
46 = 2 = 0.1108%
47 = 1 = 0.0554%
48 = 0 = 0.0000%
49 = 1 = 0.0554%
50 = 0 = 0.0000%
51 = 0 = 0.0000%
52 = 0 = 0.0000%
53 = 0 = 0.0000%
Total = 1,805 = 100.0000%

I use the numbers 12...42 as my filter parameters. Although this might not seem a big reduction with respect to the total combinations that are excluded to date, which is 24 and equates to 1.3296%, but when used in conjuction with my other filters it is quite adequate.

Just thought I would share!

Regards,
PAB


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12:45, restate my assumptions.
(1) Mathematics is the language of nature.
(2) Everything around us can be represented and understood through numbers.
(3) If you graph the numbers of any system, patterns emerge. Therefore, there are patterns, everywhere in nature.

 

[sangoma123]

Hello Pab:

Nice to talk with you again.


Yes, the statistics on that I was commenting to you are these.

Thank you very much for your interest and effort.

I, (in another program that I used before), I was using values 19-40 for " Sum of last digit " .

These values,(19-40), cover approximately 95 % of the combinations, of agreement to your, very interesting, statistics.

Just as a follow up and to put this in perspective, I will use the UK Main 649 Lotto results to date.
Here is the table I posted previously but with the UK Main 649 Lotto results in place of the total combinations for C(49, 6).

02 = 0 = 0.0000%
03 = 0 = 0.0000%
04 = 0 = 0.0000%
05 = 0 = 0.0000%
06 = 0 = 0.0000%
07 = 0 = 0.0000%
08 = 0 = 0.0000%
09 = 2 = 0.1108%
10 = 3 = 0.1662%
11 = 5 = 0.2770%
12 = 10 = 0.5540%
13 = 9 = 0.4986%
14 = 14 = 0.7756%
15 = 15 = 0.8310%
16 = 20 = 1.1080%
17 = 27 = 1.4958%
18 = 36 = 1.9945%
19 = 46 = 2.5485%
20 = 75 = 4.1551%
21 = 64 = 3.5457%
22 = 72 = 3.9889%
23 = 90 = 4.9861%
24 = 81 = 4.4875%
25 = 100 = 5.5402%
26 = 99 = 5.4848%
27 = 116 = 6.4266%
28 = 104 = 5.7618%
29 = 92 = 5.0970%
30 = 113 = 6.2604%
31 = 87 = 4.8199%
32 = 107 = 5.9280%
33 = 90 = 4.9861%
34 = 62 = 3.4349%
35 = 47 = 2.6039%
36 = 49 = 2.7147%
37 = 51 = 2.8255%
38 = 37 = 2.0499%
39 = 24 = 1.3296%
40 = 24 = 1.3296%
41 = 10 = 0.5540%
42 = 10 = 0.5540%
43 = 6 = 0.3324%
44 = 2 = 0.1108%
45 = 2 = 0.1108%
46 = 2 = 0.1108%
47 = 1 = 0.0554%
48 = 0 = 0.0000%
49 = 1 = 0.0554%
50 = 0 = 0.0000%
51 = 0 = 0.0000%
52 = 0 = 0.0000%
53 = 0 = 0.0000%
Total = 1,805 = 100.0000%

I use the numbers 12...42 as my filter parameters. Although this might not seem a big reduction with respect to the total combinations that are excluded to date, which is 24 and equates to 1.3296%, but when used in conjuction with my other filters it is quite adequate.

Just thought I would share!

Regards,
PAB

Pab, in relation to the formula (of below) that you attached (very nicely) , I

have tried to go with the excel spreadsheet, and it´s impossible for me .

Hi sangoma123,


Assuming your combination is in cell B2:G2 then enter this formula in a cell of your choice and copy down:-

IF($B2=0,"",SUMPRODUCT(--(RIGHT($B2:$G2,1))))

I hope this helps!

Regards,
PAB


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12:45, restate my assumptions.
(1) Mathematics is the language of nature.
(2) Everything around us can be represented and understood through numbers.
(3) If you graph the numbers of any system, patterns emerge. Therefore, there are patterns, everywhere in nature.

I must be doing something in a wrong way that makes me impossible to paste it.

It would be so nice if you can paste the formula in the sangoma123 spreadsheet ,that you created for the values AC ,and upload it to Mediafire.

I know that are many inconveniences for you, but it is the only way of which I could use the mentioned formula, and would be very interesting.

I have tried it a lot of time but I have not been capable of paste the formula in the Excel spreadsheet. (I doing it with "Ctrl+Shift+Enter,but I do not obtain results)

Thank you very much for your interest.

(I hope to add more possibly filters hereinafter, and this way to support this interesting post a lot of time more¡¡¡)


Regards

 

[PAB]

Nice to talk with you again sangoma123,

PAB, in relation to the formula (of below) that you attached (very nicely), I have tried to go with the excel spreadsheet, and it's impossible for me.

I have tried it a lot of time but I have not been capable of paste the formula in the Excel spreadsheet. (I doing it with Ctrl+Shift+Enter, but I do not obtain results).

You only use Ctrl+Shift+Enter when you want to enter an Array formula.

I really can't understand wht you have not only been unable to copy & paste this formula but the others also, it is intriguing.
Perhaps if you were to upload your SpreadSheet I can take a look and try to figure it out.
To copy & paste it from here into your SpreadSheet you first highlight the formula and right click, then select copy, then goto your SpreadSheet, click on the cell where you want to paste the formula, right click, select paste special and finally click text.
You did remember to add the = sign at the beginning didn't you???

Anyway, here is the updated SpreadSheet with the Last Digit formula added.

http://www.mediafire.com/view/?4ne6epnl7rrlxac

Please let me know if this is OK!

Regards,
PAB


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12:45, restate my assumptions.
(1) Mathematics is the language of nature.
(2) Everything around us can be represented and understood through numbers.
(3) If you graph the numbers of any system, patterns emerge. Therefore, there are patterns, everywhere in nature.

 

[sangoma123]

Pab: Hello again.

Thank you very much. Already I have downloaded the update and it works perfectly.

I have followed your instructions and cannot manage to paste the formula.

A message says that there is an error.

Yes, I use the sign =, in front of the formula.

I have tried to save the Excel´spreadsheet with the error for to send it to you , but it does not allow me to save it,because the message of error appears.

I am going to try to paste what happens to me in documents of Word and upload to you to Mediafire.

Thank you very much again.

(I have seen,a few minutes ago, that with the range of Sum of last digit of 19-40, I eliminate very few ones "bad" bets, but eliminate someone).

Here is the link to Mediafire.I have copied and pasted the images of the error
in a word screen.Sorry, my Excel version is in Italian language.:



http://www.mediafire.com/view/?cegnp5m9ojjssdz

Thanks and Regards.

 

[PAB]

Hi sangoma123,

Well not really knowing what the error actually says doesn't help because MicroSoft have many different types of error messages.
Do you use a semi-colon instead of a comma within your Excel formulas out of curiosity???

Can you please do something for me, can you type the formula in manually and tell me if it accepts it!

Regards,
PAB


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12:45, restate my assumptions.
(1) Mathematics is the language of nature.
(2) Everything around us can be represented and understood through numbers.
(3) If you graph the numbers of any system, patterns emerge. Therefore, there are patterns, everywhere in nature.

 

[sangoma123]

Pab:

I have just seen that on the screens of Word that I have sent you, I have pasted the formulas in the cell AC1.

It has been a failure only of this moment. All the others attempts I have done them pasting the formula in the cell AC2.

I sit the error in the document of Word.

Regards

 

[sangoma123]

Hello Pab:

I am sorry about all these inconveniences for you.

1) I Have introduced the values manually, and the same error appears.

2) I Have changed the commas into semicolons, and yes it allows to guard,
but there continues being a failure.

3) (Also I have tried to change the sign "/" ,instead ":",
but without result). Now that I have managed to guard, I upload again to Mediafire,

Thank you very much for your efforts.

http://www.mediafire.com/view/?p7tyau8n1k21zcu

 

[PAB]

Hi sangoma123,

..also I have tried to change the sign "/" ,instead ":", but without result.

What / sign???

Can you please do the following:-

(1) Check that your SpreadSheet is set to automatically Calculate.
(2) Is the error a #NAME? error, if it is, then hit F2 and then press Enter, does that correct it???

Regards,
PAB


-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-∏-
12:45, restate my assumptions.
(1) Mathematics is the language of nature.
(2) Everything around us can be represented and understood through numbers.
(3) If you graph the numbers of any system, patterns emerge. Therefore, there are patterns, everywhere in nature.

 

[sangoma123]

Hi sangoma123,


What / sign???

Can you please do the following:-

(1) Check that your SpreadSheet is set to automatically Calculate.
(2) Is the error a #NAME? error, if it is, then hit F2 and then press Enter, does that correct it???

Pab:

1)The Excel Spreadsheet is set to Automatically( In formulas).

2)Yes the error is NAME,but I have hit F2 and Enter,and it doesn´t happen nothing new.

Sorry, I must leave the web now, Pab.

Thanks again for your interest.

Regards

 

[PAB]

Hi sangoma123,

Yes the error is NAME, but I have hit F2 and Enter, and it doesn't happen nothing new.

I can't understand it .

When I hit F2 and then pressed Enter the formulas result appeared.
I will have a better look at your SpreadSheet tomorrow.
BTW, the SpreadSheet you uploaded is NOT the latest version as it doesn't have the Last Digits in it!

Regards,
PAB


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12:45, restate my assumptions.
(1) Mathematics is the language of nature.
(2) Everything around us can be represented and understood through numbers.
(3) If you graph the numbers of any system, patterns emerge. Therefore, there are patterns, everywhere in nature.

 

[sangoma123]

Pab:
I have not wanted to do experiments with the spreadsheet that includes "Last Digit" , for not to spoil it, but the failure is in any Excel Spreadsheet of mine,not only in this "LD".(It does not influence "Last Digit" in the failure).

Certainly:

The filter AC, it eliminates few combinations (or none) with lower values than 6.

The filter Deltas, it eliminates good combinations, for what it is not useful, but

The filter Last Digit, is very good, because though it

eliminates few combinations, it never eliminates good combinations, (with

values 19-40).


Thank you, and up to tomorrow.

Good Nights

 

[sangoma123]

Hello Pab:

I imagine that you know the "Root Sum".

Let's see the combination: 05,12,23,34,42,45

If we add the digits: 05+3+5+7+6+9

The Root Sum is: 35

It looks like that the majority of the Root Sums for a game 6/49, is in the approximate range of 20-38.

What do you think about this?

Regards

 

[PAB]

Hi sangoma123,

I imagine that you know the "Root Sum".
It looks like that the majority of the Root Sums for a game 649, is in the approximate range of 20-38.
What do you think about this?

I DO INDEED!

Out of interest, where did you get your data analysis from because I don't agree with your figures. I would say that the majority of Root Sums lie within the range 26...54, accounting for 95.87% of the total combinations?

Anyway, there are what I call a Root and a Digital Root.
Here is a brief description of each:-

Root

This is when ALL the digits are added together, for example, the combination...

05, 19, 29, 34, 42, 45 equates to 0 + 5 + 1 + 9 + 2 + 9 + 3 + 4 + 4 + 2 + 4 + 5 = 48

Digital Root

This is when ALL the digits are added together continuously until there is ONLY ONE digit left, for example, the combination...

05, 19, 29, 34, 42, 45 equates to 0 + 5 + 1 + 9 + 2 + 9 + 3 + 4 + 4 + 2 + 4 + 5 = 48 = 4 + 8 = 12 = 1 + 2 =3

I wrote some code many many moons ago to calculate both these so here are the tables for both the Root and Digital Root for ALL the combinations in a C(49, 6) Lotto.

Root

11 = 4 Combinations
12 = 23 Combinations
13 = 89 Combinations
14 = 250 Combinations
15 = 620 Combinations
16 = 1,333 Combinations
17 = 2,655 Combinations
18 = 4,874 Combinations
19 = 8,476 Combinations
20 = 13,947 Combinations
21 = 22,045 Combinations
22 = 33,392 Combinations
23 = 48,936 Combinations
24 = 69,314 Combinations
25 = 95,412 Combinations
26 = 127,590 Combinations
27 = 166,416 Combinations
28 = 211,575 Combinations
29 = 263,004 Combinations
30 = 319,507 Combinations
31 = 380,156 Combinations
32 = 442,824 Combinations
33 = 505,889 Combinations
34 = 566,492 Combinations
35 = 622,723 Combinations
36 = 671,625 Combinations
37 = 711,511 Combinations
38 = 739,980 Combinations
39 = 756,268 Combinations
40 = 758,980 Combinations
41 = 748,655 Combinations
42 = 725,242 Combinations
43 = 690,477 Combinations
44 = 645,497 Combinations
45 = 592,955 Combinations
46 = 534,592 Combinations
47 = 473,374 Combinations
48 = 411,123 Combinations
49 = 350,411 Combinations
50 = 292,624 Combinations
51 = 239,590 Combinations
52 = 191,894 Combinations
53 = 150,474 Combinations
54 = 115,194 Combinations
55 = 86,157 Combinations
56 = 62,722 Combinations
57 = 44,500 Combinations
58 = 30,587 Combinations
59 = 20,414 Combinations
60 = 13,117 Combinations
61 = 8,135 Combinations
62 = 4,805 Combinations
63 = 2,720 Combinations
64 = 1,433 Combinations
65 = 713 Combinations
66 = 318 Combinations
67 = 129 Combinations
68 = 41 Combinations
69 = 12 Combinations
70 = 1 Combinations
Total = 13,983,816 Combinations

Digital Root

1 = 1,553,744 Combinations
2 = 1,553,744 Combinations
3 = 1,553,784 Combinations
4 = 1,553,744 Combinations
5 = 1,553,744 Combinations
6 = 1,553,784 Combinations
7 = 1,553,744 Combinations
8 = 1,553,744 Combinations
9 = 1,553,784 Combinations
Total = 13,983,816 Combinations

You could setup Excel formulas to calculate the Root and the Digital Root of each combination.

Anyway, I hope you find the above tables useful.

Regards,
PAB


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12:45, restate my assumptions.
(1) Mathematics is the language of nature.
(2) Everything around us can be represented and understood through numbers.
(3) If you graph the numbers of any system, patterns emerge. Therefore, there are patterns, everywhere in nature.