How many combinations belong to set 085/089? Exactly 2248.
And how many combinations belong to set 049/019?
Only 78.
Calculating separate predictions for both decimal patterns can help to achieve
extreme levels of reduction.
This can be a base for hardcore filtering method. Possibilities are endless.
Every lotto combination belongs to one - less or more large - set, which
can be identified using two numbers in range 1-126. By the way: there
are empty sets, too. Number of non-empty sets is equal to 13818. There
are sets containing thousands of combinations and sets with only one
combination.
Geometric view.
Pairs of numbers in range 1-126 can be viewed as coordinates of points
on plane (square) of dimensions 126x126. Using two coordinates from two
consecutive draws gives possibility to define straight line between them
on plane. Adding next draw defines another point and new line between
new point and previous point. If we continue this process we will see
something similar to a Brownian motion.
Such geometric analysis shows us constraints, boundaries never crossed
by range patterns values during long period of time. If we learn
"physics" of such "Brownian motion", we can make more precise
predictions or build powerful filters. For example: what is the minimal
and maximal length of line defined by two consecutive draws? What is
minimal and maximal angle defined by two consecutive lines?
We can use three consecutive draws to construct a triangle. We can
calculate statistics of properties of such triangles. Yes, even
trigonometry could be used. We could go into higher dimensions: cubes.
If we add third kind of pattern to our calculations, then every draw
defines three coordinates of point in 3D space inside cube of dimensions
126x126x126. Again, possibilities are endless.
---
Statistics of range patterns (in all 6/49 combinations) based on
vertical ranges is exactly the same as for horizontal ranges (described
in previous post). We can reuse the same statistics. Please refer to
previous post on subject, "Range patterns" for this statistics.
I attached statistics of pairs of both type decimal ranges (horizontal
and vertical) in all 6/49 combinations. Only pairs defining non-empty
sets are listed. If someone needs full list, please let me know.
File is large (more than 13818 lines), so here is link to compressed
statistics textfile:
PS.
I tried also random permutations of numbers 1-49 in table of ranges.
Results are interesting, when we are working with such randomly
defined ranges. If one has luck, a "good range" can be generated
leading to more "friendly" sequences of patterns.
Another method for arranging numbers in ranges table is to sort them
by number of pairs they produce in draws. This method is a nice
addition to table built with use of simple frequency rank. _________________ Uyzsudoi joigof ouk aoyjs.
While the logic behind the theory is inventive, application may be more difficult than you first thought.
Below is a three layered image.
1). Every valid position as extracted from the database you supplied.
2). 500,000 simulated random lottery draws of 6/49.
3). 2650 actual lottery draws from Canada’s 6/49.
Each time a square was reused, the color was shifted to the next shade.
One of the first thoughts I had was to have a look at the sets near the center which were not actually or randomly generated but the problem was being unable to reverse engineer the v/h co-ordinate. Several sets may occupy that vertical/horizontal range position.
So this is simply a filter whereby sets which h/v range on a grid square unused by a history file and a 500,000 draw simulation are possibly not likely candidates for a real lottery draw.
And now for the big BUT, since there are more sets equating to some grid references than others, the density of the image above is misleading. No, it is not the case that more ‘popular’ or ‘dominate’ randomly drawn sets fall onto specific squares, it is that some squares are shared by more sets than others. It is merely a population density graph.
But every combination has the same probability; the question is which sets will appear in your personal lifetime.
Joined: 28 Mar 2009 Posts: 32 Location: Hic et ubique
Posted: Jun 15, 2009 08:28 Post subject:
DemonSadist wrote:
While the logic behind the theory is inventive, application may be more difficult than you first thought.
...
And now for the big BUT, since there are more sets equating to some grid references than others, the density of the image above is misleading. No, it is not the case that more ‘popular’ or ‘dominate’ randomly drawn sets fall onto specific squares, it is that some squares are shared by more sets than others. It is merely a population density graph.
But every combination has the same probability; the question is which sets will appear in your personal lifetime.
Thanks for your extensive comment and providing me with fine results of your own research! I'm very glad of your feedback.
I already performed a dosen of similar tests. Density of "usage" of some sets is not all what I analyse. I'm also interested in "movements" between those sets.
Such "traffic" showed me interesting patterns. I did tests on list of real results, where most recent results were cut-out.
Using paterns I discovered, I was able to correctly predict "set of sets" where "future" draws will be located.
Of course number of resulting combinations is still counted in thousands, but it is much better dealing with such sets than fighting against the whole 6/49 set.
There are some "traffic regulations" in this space. They are elastic, they change from time to time, but they tend to remain stable in shorter periods of time.
This is the observation I want to utilize.
Once again thank you for your feedback and for opportunity to discuss my approach.
From the population density scatter graph, you can see 16 distinct squares. I will use this 4x4 grid as a reference.
Each x,y grid reference extracted from all13,983,816 sets is represented within this graph. Since your x,y calculations lose information, many sets have the same x,y grid reference. The graph shows that many more of the C(49,6) sets have a grid reference in the 3,3 ‘quadrant’.
Selecting one of these most populous sets as a starting point and randomly generating a second set, the highest probability for its location is quad 3,3. If it were in another location, chances are that it would not be far; perhaps 3,2.
If your second set was aberrant and located in quad 2,0 the third randomly chosen set would be located towards quad 3,3. 90% of all randomly generated sets would have a directional vector pointing to quad 3,3. This is because there are more sets represented here than anywhere else.
Should a set be located at quad 0,0, there is a 99% chance its vector is towards quad 3,3. The next highest probability is a vector directed towards quads 1,1 to 1,3 or 1,1 to 3,1 simply because the density is relatively high and combined, these 5 quad probably have a higher density than 3,3 alone.
This relationship will be duplicated if two successive sets are within the same quadrant simply because the density of each quad is similar to the density of the entire grid.
Stating that this can be a base for hardcore filtering is only accurate for half of the rarely selected sets.
Set: 11, 18, 25, 32, 39, 46 is a very good looking set and has a H/V of 63/8.
Since 7 sets of 6 can be generated from 7 numbers and there are 7 rows, a similar set to this one can be generated 49 different ways and most of them are all nicely random, if not random due to having a difference of 7 between each number, the sets are nicely ranged. However, that is not many sets and the relevant grid from the graph image shows it to be very seldom visited.
Set: 22, 23, 24, 25, 26, 27 is very unlikely and has a H/V range pair of 8/63. Likewise there are 49 possible combinations of similar formation and they are all predominately sequential.
While both horizontal and vertical sets of this type have equal probability of being drawn, the chances that you or I will see any of the sequential sets is remote. More likely one of the single horizontal row sets will be drawn first.
My point is that you have assigned a subjective and arbitrary value system to grade sets into groups of abundance with little regard for their apparent randomness or ‘logical’ expectancy. I am sure somewhere in the world a lottery has drawn one of the 49 horizontal sets your ranking scores very low.
Joined: 28 Mar 2009 Posts: 32 Location: Hic et ubique
Posted: Jun 15, 2009 10:47 Post subject:
DemonSadist wrote:
My point is that you have assigned a subjective and arbitrary value system to grade sets into groups of abundance with little regard for their apparent randomness or ‘logical’ expectancy. I am sure somewhere in the world a lottery has drawn one of the 49 horizontal sets your ranking scores very low.
Exactly! I don't score combinations by their randomness, or 'logical' expectancy. I use my ranges to let the numbers score themselves.
I tried also random permutations of numbers 1-49 in table of ranges. Results are interesting, when we are working with such randomly defined ranges.
Such ranges are more than arbitrary! They are random!
If one is against unbalanced v/h ranges, he can use randomly defined ranges. I will tell more about this later.
I am overwhelmed, really! Lots of new ideas, theories, systems, software! Keep going guys! But, please, don't feel offended if I don't respond. As I said, I am overwhelmed at times. I got my own mountain of ideas, theories, systems, software! Honestly, the hardest part for me is to remember all of ideas, theories, systems, software of my own!
I just took a rare trip which was longer than usually for me. But it was great, especially since I visited with my daughter after so many long and painful years. And, as in the story of my life, people write in my absence much more than usually. Not to mention that such writings demand my response! So, again, no offence, no hard feelings IF I don't respond.
I feel like my head is whirling when I see all this new graphical stuff! I said long before, on my old BBS, that lottery is numerical (FFG), not graphical. End of story for me.
I got lost in my software. I have seen so many strategies — yet I couldn't find the time to apply them. I kept writing one program after another. Just picture this. There are so many strategies that lead to the jackpot with very, very few combinations. The strategies hit very rarely, but the skips can be plotted by the strategy-checking software. There are times when such strategies generate no combination — money saving situations. It is best to stick with a handful of such rare-hitting strategies. A single such strategy might skip years between hits. But based on Ion Saliu's Paradox, it is far more advantageous to play more at once than one in many trials. The degree of certainty is far lower that a number of losing streaks occur simultaneously. Roulette, for example. Play one single number — that particular number could go through a very long losing streak. Instead, play more numbers at once — the chance that all them numbers go through very long losing streaks is significantly lower.
I made my software totally freeware in 1998 or 1999. The significant improvements occurred in 2000 (when I posted heavily in my forum) and thereafter. Let's say I looked for once-in-three-years strategies. Just one such strategy would have hit the jackpot for me a couple of times by now. Several such strategies could be devised. There are so many filters that I do NOT know how many there are! Yet, I spent most of time discovering and creating, and more discovering and creating… I believe I did more than enough of that. Time to apply what I got. Sorry, but I won't consider applying other people's creations anymore! I mean, I am not talking about getting them for free! I won't consider applying other people's creations even if they want to pay me! I am very serious!
It is not a matter of big ego! It's matter of time. And, yes, honestly, my stuff is, by far, the best in its category. No offence to anyone.
By the way. Blackjack players, stay AWAY from those tables with continuous shuffling machines (CSM)! I witnessed troubling facts. One Detroit casino uses only CSM. No player leaves the table as a winner — not even Parpaluck. The dealer gets blackjack or 20 in the first two hands five times better than any player. By contrast, another casino in Detroit does not use any CSM. The results are what they should be mathematically. I checked many tables. I was also assisted by my daughter. She agreed with my findings, but only after serious analysis. She never agrees with someone just to be polite or just for the sake of agreement.
Stay away also from the electronic roulette. The table limits are very bad over there. Always look for the highest possible maximum limits.
And, as sincerely as ever, I wish the best of luck to everybody here!
Joined: 28 Mar 2009 Posts: 32 Location: Hic et ubique
Posted: Jun 18, 2009 14:01 Post subject:
marcher wrote:
I feel like my head is whirling when I see all this new graphical stuff! I said long before, on my old BBS, that lottery is numerical (FFG), not graphical. End of story for me.
Because of Cartesian coordinates system and the whole analytical geometry I am convinced that algebra and geometry are one. So one can think using numbers only, and another one can support this with use of graphical representations of mathematical phenomena. And expressing things graphically is helpful for people being unable to "swallow" too abstract algebraic-only representations.
I am overwhelmed, really! Lots of new ideas, theories, systems, software! Keep going guys! But, please, don't feel offended if I don't respond. As I said, I am overwhelmed at times. I got my own mountain of ideas, theories, systems, software! Honestly, the hardest part for me is to remember all of ideas, theories, systems, software of my own!
I just took a rare trip which was longer than usually for me. But it was great, especially since I visited with my daughter after so many long and painful years. And, as in the story of my life, people write in my absence much more than usually. Not to mention that such writings demand my response! So, again, no offence, no hard feelings IF I don't respond.
I feel like my head is whirling when I see all this new graphical stuff! I said long before, on my old BBS, that lottery is numerical (FFG), not graphical. End of story for me.
I got lost in my software. I have seen so many strategies — yet I couldn't find the time to apply them. I kept writing one program after another. Just picture this. There are so many strategies that lead to the jackpot with very, very few combinations. The strategies hit very rarely, but the skips can be plotted by the strategy-checking software. There are times when such strategies generate no combination — money saving situations. It is best to stick with a handful of such rare-hitting strategies. A single such strategy might skip years between hits. But based on Ion Saliu's Paradox, it is far more advantageous to play more at once than one in many trials. The degree of certainty is far lower that a number of losing streaks occur simultaneously. Roulette, for example. Play one single number — that particular number could go through a very long losing streak. Instead, play more numbers at once — the chance that all them numbers go through very long losing streaks is significantly lower.
I made my software totally freeware in 1998 or 1999. The significant improvements occurred in 2000 (when I posted heavily in my forum) and thereafter. Let's say I looked for once-in-three-years strategies. Just one such strategy would have hit the jackpot for me a couple of times by now. Several such strategies could be devised. There are so many filters that I do NOT know how many there are! Yet, I spent most of time discovering and creating, and more discovering and creating… I believe I did more than enough of that. Time to apply what I got. Sorry, but I won't consider applying other people's creations anymore! I mean, I am not talking about getting them for free! I won't consider applying other people's creations even if they want to pay me! I am very serious!
It is not a matter of big ego! It's matter of time. And, yes, honestly, my stuff is, by far, the best in its category. No offence to anyone.
By the way. Blackjack players, stay AWAY from those tables with continuous shuffling machines (CSM)! I witnessed troubling facts. One Detroit casino uses only CSM. No player leaves the table as a winner — not even Parpaluck. The dealer gets blackjack or 20 in the first two hands five times better than any player. By contrast, another casino in Detroit does not use any CSM. The results are what they should be mathematically. I checked many tables. I was also assisted by my daughter. She agreed with my findings, but only after serious analysis. She never agrees with someone just to be polite or just for the sake of agreement.
Stay away also from the electronic roulette. The table limits are very bad over there. Always look for the highest possible maximum limits.
And, as sincerely as ever, I wish the best of luck to everybody here!
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