https://blogs.lotterypost.com/jadelottery/2012/1/happy-new-year-the-final-approximation.htm JADELottery's Blog: Happy New Year - The Final Approximation en-us Lottery Post RSS Generator https://blogs.lotterypost.com/jadelottery/2012/1/happy-new-year-the-final-approximation.htm#c72660 https://blogs.lotterypost.com/jadelottery/2012/1/happy-new-year-the-final-approximation.htm#c72660 Mon, 02 Jan 2012 03:04:41 GMT sully16 Happy New Year Jade, many good wishes for you and your family.

]]> sully16 https://blogs.lotterypost.com/jadelottery/2012/1/happy-new-year-the-final-approximation.htm#c72652 https://blogs.lotterypost.com/jadelottery/2012/1/happy-new-year-the-final-approximation.htm#c72652 Mon, 02 Jan 2012 00:15:34 GMT JADELottery <br />We're working a Cubic Solution for a Random Sums Distribution.<br /><br />We have a temporary working solution, but it needs more research, study, and analysis.

]]> JADELottery https://blogs.lotterypost.com/jadelottery/2012/1/happy-new-year-the-final-approximation.htm#c72650 https://blogs.lotterypost.com/jadelottery/2012/1/happy-new-year-the-final-approximation.htm#c72650 Sun, 01 Jan 2012 23:09:11 GMT time*treat If this sort of thing keeps up, I may have to do an update of code and formulas links. :0)

]]> time*treat https://blogs.lotterypost.com/jadelottery/2012/1/happy-new-year-the-final-approximation.htm#c72645 https://blogs.lotterypost.com/jadelottery/2012/1/happy-new-year-the-final-approximation.htm#c72645 Sun, 01 Jan 2012 19:29:42 GMT JADELottery <br />Function Random() As Double<br />    Dim R As Double<br />    Do<br />        R = Rnd()<br />    Loop Until R <> 0<br />    Random = R<br />End Function<br /><br />_____<br /><br />Function Sinh(a As Double) As Double<br />    Sinh = (Exp(a) - Exp(-1 * a)) / 2<br />End Function<br /><br />_____<br /><br />Function RandomNormal(S As Double) As Double<br />    Dim Pi, y As Double<br />    Pi = 3.14159265358979<br />    y = Random()<br />    RandomNormal = ((2 * S) / Pi) * Log(Tan((Pi * y... [ More ]

]]> JADELottery https://blogs.lotterypost.com/jadelottery/2012/1/happy-new-year-the-final-approximation.htm#c72644 https://blogs.lotterypost.com/jadelottery/2012/1/happy-new-year-the-final-approximation.htm#c72644 Sun, 01 Jan 2012 18:43:35 GMT JADELottery <br />Even though the sign function, sgn(), goes to zero, it will have an insignificant effect on the outcome.

]]> JADELottery https://blogs.lotterypost.com/jadelottery/2012/1/happy-new-year-the-final-approximation.htm https://blogs.lotterypost.com/jadelottery/2012/1/happy-new-year-the-final-approximation.htm Sun, 01 Jan 2012 17:52:42 GMT JADELottery Happy New Year Folks.

We have finished the study on our Approximation of Random Normal Distribution.

It will work for any range of standard deviation from 0 to and fractionally very small numbers (i.e. (1/100), (1/1000000), .0001, .00000001, or similar).

Also, those of you that may have noticed, if you use the regular random function in your programming language, you'll see that if the random number goes to zero you'll get an error.

This is because of the natural log in the first half addition, ln().

The function, tan(), goes to zero when y goes to zero and taking the natural log of zero leads to an error.

To fix this problem, your random function needs to fall in the range of greater than zero and less than one.

Below is an example of how to do this in Visual Basic code; this will work in Excel VB as well, modify it to fit your programming language.

______

Function Random() as Double

Dim R as Double

Do

R = Rnd()

Loop Until R 0

Random = R

End Function

______

... [ More ]

]]> Blog Entry JADELottery https://www.lotterypost.com/blogentry/61966