/blogentry/29942 edge's Blog: Padovan Sequence, Plastic Numbers and it's possible use in forecast models en-us Lottery Post RSS Generator /blogentry/29942#c37264 /blogentry/29942#c37264 Thu, 28 May 2009 03:27:20 GMT edge <br />Padovan Sequence Analysis:<br /><br />1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 3, 4, 5, 7, 9, 12, 16, 21, 28, 37, 49, 65, 86, 114, 151, 200, 265, 351, 465, 616 ...<br /><br />Date                      wb                             pb             pp                        Padovan Sequence Match<br /><br />------------------------------------------------------------------------------------------------------<br /><br />05/27/2009        05 06 12 16 21      +07           x 03... [ More ]

]]> edge /blogentry/29942 /blogentry/29942 Sun, 24 May 2009 22:32:52 GMT edge Plastic Number derived from a unique real number solution to the equation x3 - x - 1 = 0 having the approximate value 1.324718 is intimately connected to the lower and upper limits of our normal ability

to perceive differences of size among three-dimensional objects. (see references 1 and 2)

Recently Plastic Number (or alternatively limit of the ratio of successive numbers in Padovan sequence) has found application in financial forecast model such as currency and commodity markets.

Its use is primarily in establishing price lower and upper limits as the function of past proportions occurring in currency/commodity price fluctuations. This effort is similar in how Fibonacci Ratios are used

in the financial trading.

Possible applications in the lottery forecast models could potentially exist providing that parallel analytical proportions do exists. This is very speculative and I could not find any references regarding

stochastic studies using Padovan Sequence. (except financial risk models mentioned before)

I speculate its potential success in commodity financial forecast stem from global proportions arising in the supply/demand cycles, such as natural climate paterns , human/animal migration patterns etc.

However if the Padovan ratios demonstrate success in the currency model, this would rather pose an enigma, as the currency pricing can not be related (as far as i know) to any natural (world) proportions and cycles (supply and demand exists purely as abstraction of an underlying commodity/labour markets), in other words currency trading is very much like an un-bias stochastic game model (aka lottery), and it might be a hidden doorway to deeper view to the random...

Reference:

1. On Plastic Numbers in the Plane:

http://icgg2008.math.tu-dresden.de/abstracts/Spinadel-Redondo.pdf

1. Properties of Plastic Number:

http://www.daviddarling.info/encyclopedia/P/plastic_number.html

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