Convergence theory

[Kali49]

Hi Again,

Today I will introduce You to Convergence theory, this is meant to be an open topic I welcome contributions to make it something useful to us.

So here we go:



Convergence theory came into existence when I observed a specific pattern when I tried to transform randomness with replacement ( same randomness in roulette) into a randomness without replacement ( example : a number will not repeat once it occurred in the last spin).

Let me give you an example :
_______________________________________
Randomness with replacement  in Red / Black within two spins :

RB
RR
BR
BB
Total combos: 4
________________________________________

Randomness without replacement in Red / Black within two spins :

RB
BR

Total combos : 2
________________________________________

Ok let's see Dozens:

Randomness with replacement:

11
12
13
21
22
23
31
32
33
Total combos : 9

Randomness without replacement:

12
13
21
23
31
32
Total combos : 6

Let's bet on combo #5 : (31)

Bet dozen 3 on first spin.
If you win bet 1.5 units on dozen 3 and dozen 1.
If dozen 3 wins repeat the bet (1.5 units on dozen 3 and dozen 1)
If dozen 3 wins again, repeat the bet (1.5 units on dozen 3 and dozen 1)
Till either you lose the bet when dozen 2 shows up. Or you win when dozen one shows up.

So to summarize:

Betting on combo #5 : (31) has a probability of 1/6 to win, the pay off may increase to crazy amounts before the combo is complete.
The probability of losing is 5/6.

In mathematics this is called "convergence for local permutations"

Discussions and Ideas are welcome.


Regards, Kali.

[Person S]

Hi, this is interesting, but not very clear yet.
Could you describe the meaning of the word "convergence" in your own words?

[Kali49]

Hi, this is interesting, but not very clear yet.
Could you describe the meaning of the word "convergence" in your own words?

Convergence when it comes to numbers is the mathematical process that makes sure the output is a single point. A final state of equilibrium.

Law of large numbers for even chances converges to 0.5.

Each combo in the example of dozens
For randomness without replacement  converges to 1/6.

[Person S]

I’ll try to understand, so we have a source -
''wheel
'', numbers and combinations emerge from it.
All this mass at the output should be transformed to a certain point (I suppose this is a red circle in your drawing).
This point is the equilibrium that must be established over time when the right number of digits comes out of the wheel.
Sorry if this is a rude example, I'm just trying to find out.

[Kav]

Just because you don't write it down (say the 33), it doesn't mean it can't happen.
Your math is messed up.
You bet one dozen and if it comes you bet on 2 dozens.
The probability of this is 0,22 or 22% (more than 1/6) but this is exactly the same with any 1 dozen, 2 dozens bets. I don't see why you are intrigued by this idea, other than the fancy name.

[Kali49]

I really  wanted  this to be an open discussion, apparently  only a few are interested.

I guess  we should  make it private, so I will use pms to answer questions, just type "Let me in" as your reply if you want more analysis delivered to you.

I will not ask for money , I am interested in working  with creative minds.

[mohitomish]

Let me in.

[Person S]

I think Kali uses the theory of games in communication with us.
I would like to join.
let me in

[MILLWARD007]

Let me in

[Kali49]

Let me in.

I think Kali uses the theory of games in communication with us.
I would like to join.
let me in

We will explore plenty of ideas.
Thank you.

[Sakura616]

Hi Kali,

please let me in.
Thx

[puntoit]

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[Sparks]

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[roulettefan]

let me in thank

[Johnoholic]

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