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First and Second Order Work Equations

Topic closed. 4 replies. Last post 10 years ago by JADELottery.

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The Quantum Master
West Concord, MN
United States
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December 7, 2001
3675 Posts
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Posted: November 10, 2006, 5:41 am - IP Logged

First and Second Order Work Equations

    Reference - Potential Reoccurrence Probability, Potential Occurrence Probability, Half-life of Reoccurrence 

    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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Jehocifer

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    Washington
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    Posted: November 10, 2006, 12:57 pm - IP Logged

    Thanks Doug

    What a wonderful world...

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      The Quantum Master
      West Concord, MN
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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.
      Use at your own risk.

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

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        United States
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        June 30, 2004
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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..  Wink

             OLD/Vtrac   Lottery Bible         Double Warnings      Thumbs Up TN F34/F44

          JADELottery's avatar - MeAtWork 03.PNG
          The Quantum Master
          West Concord, MN
          United States
          Member #21
          December 7, 2001
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          Posted: December 2, 2006, 9:35 am - IP Logged

          6/49 Lottery

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

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