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# First and Second Order Work Equations

Topic closed. 4 replies. Last post 11 years ago by JADELottery.

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The Quantum Master
West Concord, MN
United States
Member #21
December 7, 2001
3966 Posts
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 Posted: November 10, 2006, 5:41 am - IP Logged

First and Second Order Work Equations

First Order Work Equation -  y = 4 (e -(x / m) - e -(2 x / m) )

Second Order Work Equation -  y = 16 (e -(x / m) - 5 e -(2x / m) + 8 e -(3x / m) - 4 e -(4x / m) )

x - draw difference or Dd between last occurrence and some future draw number
m - average rate of reoccurrence

second order region 1 -    0 £ x £ -m ln(1 / 2)
second order region 2 -    -m ln(1 / 2) £ x £ ¥

The first and second order work equations are related to the potential reoccurrence and occurrence probabilities. Most of the work done by random selection is centered around the first half-life of reoccurrence. The closer the draw difference is to the first half-life of reoccurrence, there is a better equal probability of reoccurrence and occurrence selection. The first order work equation is like a probability function, it shows the relative closeness to the first half-life of reoccurrence. The second order work equation operates in contrast to the first order work equation. The second order work equation has two regions of draw difference that is operates. The first region is 0 to the first half-life of reoccurrence and the second is the first half-life of reoccurrence to ¥. The first region captures draw differences that are just after the number's selection. The second region captures draw differences that are heading to a long out from the number's selection.

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Order is a Subset of Chaos
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Jehocifer

Washington
United States
Member #47309
October 30, 2006
34 Posts
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 Posted: November 10, 2006, 12:57 pm - IP Logged

Thanks Doug

What a wonderful world...

The Quantum Master
West Concord, MN
United States
Member #21
December 7, 2001
3966 Posts
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 Posted: November 10, 2006, 3:05 pm - IP Logged

Solution for finding x in the First Order Work Equation

low value for x -  x = -m ln((1 + Ö(1 - y)) / 2)

high value for x -    x = -m ln((1 - Ö(1 - y)) / 2)

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

United States
Member #5344
June 30, 2004
23641 Posts
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 Posted: November 11, 2006, 5:30 pm - IP Logged

Solution for finding x in the First Order Work Equation

low value for x -  x = -m ln((1 + Ö(1 - y)) / 2)

high value for x -    x = -m ln((1 - Ö(1 - y)) / 2)

Thanks..  Getting the drift here..

OLD/Vtrac

The Quantum Master
West Concord, MN
United States
Member #21
December 7, 2001
3966 Posts
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 Posted: December 2, 2006, 9:35 am - IP Logged

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