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# 5th Degree Polynomial Wave Projection

Topic closed. 18 replies. Last post 9 years ago by JADELottery.

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The Quantum Master
West Concord, MN
United States
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December 7, 2001
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 Posted: July 22, 2007, 6:33 pm - IP Logged

5th Degree Polynomial Wave Projection

1 - 6 Point Set of y Wave Values

{y0, y1, y2, y3, y4, y5}

2 - Variable Coefficient Equations

a0 =  720y0 - 1800y1 + 2400y2 - 1800y3 +  720y4 - 120y5
a1 = -1044y0 + 3510y1 - 5080y2 + 3960y3 - 1620y4 + 274y5
a2 =  580y0 - 2305y1 + 3720y2 - 3070y3 + 1300y4 - 225y5
a3 =  -155y0 +  685y1 - 1210y2 + 1070y3 -  475y4 +  85y5
a4 =    20y0 -  95y1 +  180y2 -  170y3 +  80y4 -  15y5
a5 =    -1y0 +    5y1 -  10y2 +  10y3 -    5y4 +  1y5

3 - 7th Point Wave Projection y Value

y6 = (1a0 + 7a1 + 49a2 + 343a3 + 2401a4 + 16807a5) / 120

These 3 basic steps are derived from a polynomial curve fitting process called Least Squares Fitting (Wikipedia, Wolfram MathWorld). There is a long and involved process to arrive at the last 2 steps. It is the fitting for a 5th degree polynomial with 6 points on the curve. A 5th Degree Polynomial is y = a0 x0 + a1 x1 + a2 x2 + a3 x3 + a4 x4 + a5 x5; {a0, a1, a2, a3, a4, a5} are the variable coefficients. The projection is designed to find the approximate 7th point for the curve, y6.

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Order is a Subset of Chaos
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Jehocifer

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 Posted: July 22, 2007, 6:52 pm - IP Logged

Fractals is the final ultimate frontier. When one of you youngsters discovers how ro apply it to games of chance, ALL and I do mean ALL,  casinos and state lotteries will be no more.

Ephesians 3:20

The Quantum Master
West Concord, MN
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 Posted: July 22, 2007, 9:29 pm - IP Logged

Deviation from The Wave for 5th Degree Wave Projection

Using the basic 3 steps, we can apply it to a long history of a wave to find a mean difference and standard deviation of the mean difference for the approximate projection. The standard deviation is used to Quantumly Project a point or a range for the final y6 value. Within a set of y wave values a subset of 6 points can be created starting at the beginning and then the 6 point move along the wave by 1 to 1 less than the final y values. At each successive change an approximate projection can be calculated and compared to the actual y6 value for the wave. The first wave projection at the beginning of the wave has an approximate y6 value and an actual y6 value. The difference between the actual and approximate are used to calculate a mean difference and a standard deviation.

Presented 'AS IS' and for Entertainment Purposes Only.
Any gain or loss is your responsibility.

Order is a Subset of Chaos
Knowledge is Beyond Belief
Wisdom is Not Censored
Douglas Paul Smallish
Jehocifer

The Quantum Master
West Concord, MN
United States
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 Posted: July 22, 2007, 11:55 pm - IP Logged

Mean Difference and Standard Deviation

1 - Set of Wave Values

{W0, W1, W2, ... Wn-2, Wn-1, Wn}

2 - Approximate Projection Set

First difference calculation.

S0 = {y0, y1, y2, y3, y4, y5} = {W0, W1, W2, W3, W4, W5}

Plug values into following equations.

a0 = 720y0 - 1800y1 + 2400y2 - 1800y3 + 720y4 - 120y5
a1 = -1044y0 + 3510y1 - 5080y2 + 3960y3 - 1620y4 + 274y5
a2 = 580y0 - 2305y1 + 3720y2 - 3070y3 + 1300y4 - 225y5
a3 = -155y0 + 685y1 - 1210y2 + 1070y3 - 475y4 + 85y5
a4 = 20y0 - 95y1 + 180y2 - 170y3 + 80y4 - 15y5
a5 = -1y0 + 5y1 - 10y2 + 10y3 - 5y4 + 1y5

y6 = (1a0 + 7a1 + 49a2 + 343a3 + 2401a4 + 16807a5) / 120

Dy0 = y6 - W6  First difference between approximate and actual.

Second difference calculation.

S1 = {y0, y1, y2, y3, y4, y5} = {W1, W2, W3, W4, W5, W6}

Plug values into following equations.

a0 = 720y0 - 1800y1 + 2400y2 - 1800y3 + 720y4 - 120y5
a1 = -1044y0 + 3510y1 - 5080y2 + 3960y3 - 1620y4 + 274y5
a2 = 580y0 - 2305y1 + 3720y2 - 3070y3 + 1300y4 - 225y5
a3 = -155y0 + 685y1 - 1210y2 + 1070y3 - 475y4 + 85y5
a4 = 20y0 - 95y1 + 180y2 - 170y3 + 80y4 - 15y5
a5 = -1y0 + 5y1 - 10y2 + 10y3 - 5y4 + 1y5

y6 = (1a0 + 7a1 + 49a2 + 343a3 + 2401a4 + 16807a5) / 120

Dy1 = y6 - W7  Second difference between approximate and actual.

Third difference calculation.

S2 = {y0, y1, y2, y3, y4, y5} = {W2, W3, W4, W5, W6, W7}

Plug values into following equations.

a0 = 720y0 - 1800y1 + 2400y2 - 1800y3 + 720y4 - 120y5
a1 = -1044y0 + 3510y1 - 5080y2 + 3960y3 - 1620y4 + 274y5
a2 = 580y0 - 2305y1 + 3720y2 - 3070y3 + 1300y4 - 225y5
a3 = -155y0 + 685y1 - 1210y2 + 1070y3 - 475y4 + 85y5
a4 = 20y0 - 95y1 + 180y2 - 170y3 + 80y4 - 15y5
a5 = -1y0 + 5y1 - 10y2 + 10y3 - 5y4 + 1y5

y6 = (1a0 + 7a1 + 49a2 + 343a3 + 2401a4 + 16807a5) / 120

Dy2 = y6 - W8  Third difference between approximate and actual.

.

.

.

Continue advancing subset through the set of Wave Values.

.

.

.

Second to last difference calculation.

Sn-8 = {y0, y1, y2, y3, y4, y5} = {Wn-8, Wn-7, Wn-6, Wn-5, Wn-4, Wn-3}

Plug values into following equations.

a0 = 720y0 - 1800y1 + 2400y2 - 1800y3 + 720y4 - 120y5
a1 = -1044y0 + 3510y1 - 5080y2 + 3960y3 - 1620y4 + 274y5
a2 = 580y0 - 2305y1 + 3720y2 - 3070y3 + 1300y4 - 225y5
a3 = -155y0 + 685y1 - 1210y2 + 1070y3 - 475y4 + 85y5
a4 = 20y0 - 95y1 + 180y2 - 170y3 + 80y4 - 15y5
a5 = -1y0 + 5y1 - 10y2 + 10y3 - 5y4 + 1y5

y6 = (1a0 + 7a1 + 49a2 + 343a3 + 2401a4 + 16807a5) / 120

Dyn-8 = y6 - Wn-2  Second to last difference between approximate and actual.

Next to last difference calculation.

Sn-7 = {y0, y1, y2, y3, y4, y5} = {Wn-7, Wn-6, Wn-5, Wn-4, Wn-3, Wn-2}

Plug values into following equations.

a0 = 720y0 - 1800y1 + 2400y2 - 1800y3 + 720y4 - 120y5
a1 = -1044y0 + 3510y1 - 5080y2 + 3960y3 - 1620y4 + 274y5
a2 = 580y0 - 2305y1 + 3720y2 - 3070y3 + 1300y4 - 225y5
a3 = -155y0 + 685y1 - 1210y2 + 1070y3 - 475y4 + 85y5
a4 = 20y0 - 95y1 + 180y2 - 170y3 + 80y4 - 15y5
a5 = -1y0 + 5y1 - 10y2 + 10y3 - 5y4 + 1y5

y6 = (1a0 + 7a1 + 49a2 + 343a3 + 2401a4 + 16807a5) / 120

Dyn-7 = y6 - Wn-1  Next to last difference between approximate and actual.

Last difference calculation.

Sn-6 = {y0, y1, y2, y3, y4, y5} = {Wn-6, Wn-5, Wn-4, Wn-3, Wn-2, Wn-1}

Plug values into following equations.

a0 = 720y0 - 1800y1 + 2400y2 - 1800y3 + 720y4 - 120y5
a1 = -1044y0 + 3510y1 - 5080y2 + 3960y3 - 1620y4 + 274y5
a2 = 580y0 - 2305y1 + 3720y2 - 3070y3 + 1300y4 - 225y5
a3 = -155y0 + 685y1 - 1210y2 + 1070y3 - 475y4 + 85y5
a4 = 20y0 - 95y1 + 180y2 - 170y3 + 80y4 - 15y5
a5 = -1y0 + 5y1 - 10y2 + 10y3 - 5y4 + 1y5

y6 = (1a0 + 7a1 + 49a2 + 343a3 + 2401a4 + 16807a5) / 120

Dyn-6 = y6 - Wn  Next to last difference between approximate and actual.

Dy = {Dy0, Dy1, Dy2, ... Dyn-8, Dyn-7, Dyn-6}  Set of differences between approximate and actual

The set of differences will always be 6 less than the number of the Wave Data set count. For that reason, there needs to be at least 10 or more points in the Wave to calculate the mean and standard deviation.

3 - Mean Difference

m = ( [0 to n - 6] å Dyi ) / (n - 6)

m = (Dy0 + Dy1 + Dy2 + ... + Dyn-8 + Dyn-7 + Dyn-6) / (n - 6)

4 - Standard Deviation of Difference

 s = Ö( [0 to n - 6] å (Dyi - m)²) / (n - 6)

 s = Ö((Dy0 - m)² + (Dy1 - m)² + (Dy2 - m)² + ... + (Dyn-8 - m)² + (Dyn-7 - m)² + (Dyn-6 - m)²) / (n - 6)

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Any gain or loss is your responsibility.

Order is a Subset of Chaos
Knowledge is Beyond Belief
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Douglas Paul Smallish
Jehocifer

The Quantum Master
West Concord, MN
United States
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 Posted: July 23, 2007, 1:06 am - IP Logged

The last equation should look like this.

Presented 'AS IS' and for Entertainment Purposes Only.
Any gain or loss is your responsibility.

Order is a Subset of Chaos
Knowledge is Beyond Belief
Wisdom is Not Censored
Douglas Paul Smallish
Jehocifer

McKinney/Texas
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 Posted: July 23, 2007, 1:21 am - IP Logged

So, are you going to plug some drawing numbers into these equations and see if they produce a hit in any state, or is this just meaningless dribble?

Ephesians 3:20

The Quantum Master
West Concord, MN
United States
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 Posted: July 23, 2007, 1:30 pm - IP Logged

So, are you going to plug some drawing numbers into these equations and see if they produce a hit in any state, or is this just meaningless dribble?

Yes, it is meaningless dribble, specially made for you.

Presented 'AS IS' and for Entertainment Purposes Only.
Any gain or loss is your responsibility.

Order is a Subset of Chaos
Knowledge is Beyond Belief
Wisdom is Not Censored
Douglas Paul Smallish
Jehocifer

The Quantum Master
West Concord, MN
United States
Member #21
December 7, 2001
3675 Posts
Online
 Posted: July 23, 2007, 3:00 pm - IP Logged

Mean Difference and Standard Deviation Quantum Projection

After calculating the Mean Difference and Standard Deviation, the Standard Deviation can be used to induce a Quantum Projection of the Wave using the Random Number Transforms - Normal Distribution. The projection can be a single point, a set of points or a range above and below the mean difference.

The Normal Distribution line shows the level of probability above and below the Mean Difference in the Yô direction. The probability is based on the Difference Standard Deviation and can be used to randomly estimate the above/below the Mean Difference. The Standard Deviation is used with the Random Number Transforms - Normal Distribution; with the Standard Deviation function.

1 - Last set of 6 Wave Values

{Wn-5, Wn-4, Wn-3, Wn-2, Wn-1, Wn}

2 - Future Wave Projection

{y0, y1, y2, y3, y4, y5} = {Wn-5, Wn-4, Wn-3, Wn-2, Wn-1, Wn}

Plug values into following equations.

a0 = 720y0 - 1800y1 + 2400y2 - 1800y3 + 720y4 - 120y5
a1 = -1044y0 + 3510y1 - 5080y2 + 3960y3 - 1620y4 + 274y5
a2 = 580y0 - 2305y1 + 3720y2 - 3070y3 + 1300y4 - 225y5
a3 = -155y0 + 685y1 - 1210y2 + 1070y3 - 475y4 + 85y5
a4 = 20y0 - 95y1 + 180y2 - 170y3 + 80y4 - 15y5
a5 = -1y0 + 5y1 - 10y2 + 10y3 - 5y4 + 1y5

y6 = (1a0 + 7a1 + 49a2 + 343a3 + 2401a4 + 16807a5) / 120

y6 is the approximate future value.

3 - Offset y6 by the Mean Difference

Yoff = y6 + m

m is the mean difference calculated first from the earlier post.

4 - Randomly Vary the Offset with Random Normal Distribution - Standard Deviation

Y = Yoff + Rand_SD(s)

s is the standard deviation calculated from the earlier post

Y is a single Quantumly Selected Y value.

Rand_SD( ) is a function defined in Random Number Transforms - Normal Distribution

Yrand = ABS( Rand_SD(s) )

Y- = Yoff - Yrand, Y+ = Yoff + Yrand

Y- to Y+ is a Quantum range of possible points where y6 might be.

Presented 'AS IS' and for Entertainment Purposes Only.
Any gain or loss is your responsibility.

Order is a Subset of Chaos
Knowledge is Beyond Belief
Wisdom is Not Censored
Douglas Paul Smallish
Jehocifer

The Quantum Master
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United States
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 Posted: July 23, 2007, 3:49 pm - IP Logged

Typo correction:

Presented 'AS IS' and for Entertainment Purposes Only.
Any gain or loss is your responsibility.

Order is a Subset of Chaos
Knowledge is Beyond Belief
Wisdom is Not Censored
Douglas Paul Smallish
Jehocifer

The Quantum Master
West Concord, MN
United States
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 Posted: July 24, 2007, 5:41 pm - IP Logged

You can go to this link to see the process for finding the equations.

Process for Finding Variable Coefficients and Polynomial Equations

The LP editor can't handle the formating.

Enjoy.

Presented 'AS IS' and for Entertainment Purposes Only.
Any gain or loss is your responsibility.

Order is a Subset of Chaos
Knowledge is Beyond Belief
Wisdom is Not Censored
Douglas Paul Smallish
Jehocifer

Pennsylvania
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 Posted: July 27, 2007, 9:38 pm - IP Logged

kind of makes sense if your data plots with a nice sine wave...

red balls in powerball have a range of 1 to 42 every draw, a graph of that is a jagged sawtooth that appears to have no rhyme or reason....

you can limit sorted order whiteballs to observed range and cut the choices, but the red ones are as noisy as plotting DRAW ORDER data.

all we have to go on is past history, which is supposedly random (looks random to me, except how they always manage to avoid drawing the numbers on my ticket).

I was trying to apply some sort of "weight" to the possible outcomes based on observed history... such as

Higer/Lower... works ok near the range boundaries, less so in the middle

odd/even... proved useless

hot follower... covered less than 10% for each case

on white balls, my "weights" would put 3 of the 6 numbers I picked in the range most of the time... but a range still leaves ambiguity... my goal is always "one pick-DONE"

is there some other method or adaptation of this method that can focus more closely on a point rather than a range?

Playing more than one ticket per game is betting against yourself.

The Quantum Master
West Concord, MN
United States
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December 7, 2001
3675 Posts
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 Posted: July 28, 2007, 3:37 pm - IP Logged

kind of makes sense if your data plots with a nice sine wave...

red balls in powerball have a range of 1 to 42 every draw, a graph of that is a jagged sawtooth that appears to have no rhyme or reason....

you can limit sorted order whiteballs to observed range and cut the choices, but the red ones are as noisy as plotting DRAW ORDER data.

all we have to go on is past history, which is supposedly random (looks random to me, except how they always manage to avoid drawing the numbers on my ticket).

I was trying to apply some sort of "weight" to the possible outcomes based on observed history... such as

Higer/Lower... works ok near the range boundaries, less so in the middle

odd/even... proved useless

hot follower... covered less than 10% for each case

on white balls, my "weights" would put 3 of the 6 numbers I picked in the range most of the time... but a range still leaves ambiguity... my goal is always "one pick-DONE"

is there some other method or adaptation of this method that can focus more closely on a point rather than a range?

Have you tried to apply the Bidirectional Mean Averaging to find The Wave Matrix for the Powerball number?

There are a few techniques to using the BMA to arrive at a particular Wave Matrix.

One is with the RMS adjustment and one is without the RMS adjustment.

Also, play around with the Degree of Weighting Data value in the BMA.

I'll get back to this later tonight.

We are having my son's birthday party today and I'll be busy most of the day.

Presented 'AS IS' and for Entertainment Purposes Only.
Any gain or loss is your responsibility.

Order is a Subset of Chaos
Knowledge is Beyond Belief
Wisdom is Not Censored
Douglas Paul Smallish
Jehocifer

Harbinger
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 Posted: July 28, 2007, 7:51 pm - IP Logged

I am curious, how the coefficients are chosen? Thanks.

P.S. Just for grins I wonder if differentiating the equations and plotting against the original may give any valuable data from the intersects? Or possibly shifting the phase by introducing a sine, cosine, or cotangent function into the lower degrees of the polynomials.  I say this because the plot shown looks like 2.5 cycles of a dinged decay.  Just a thought.

The Quantum Master
West Concord, MN
United States
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December 7, 2001
3675 Posts
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 Posted: July 28, 2007, 9:32 pm - IP Logged

I am curious, how the coefficients are chosen? Thanks.

P.S. Just for grins I wonder if differentiating the equations and plotting against the original may give any valuable data from the intersects? Or possibly shifting the phase by introducing a sine, cosine, or cotangent function into the lower degrees of the polynomials.  I say this because the plot shown looks like 2.5 cycles of a dinged decay.  Just a thought.

Posted earlier:

You can go to this link to see the process for finding the equations.

Process for Finding Variable Coefficients and Polynomial Equations

Presented 'AS IS' and for Entertainment Purposes Only.
Any gain or loss is your responsibility.

Order is a Subset of Chaos
Knowledge is Beyond Belief
Wisdom is Not Censored
Douglas Paul Smallish
Jehocifer

Harbinger
D.C./MD.
United States
Member #44103
July 30, 2006
5583 Posts
Online
 Posted: July 28, 2007, 11:28 pm - IP Logged

Posted earlier:

You can go to this link to see the process for finding the equations.

Process for Finding Variable Coefficients and Polynomial Equations

Thanks.

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