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Padovan Sequence, Plastic Numbers and it's possible use in forecast models

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Last Edited: May 24, 2009, 7:54 pm

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

Entry #4

Comments

1.
edgeComment by edge - May 27, 2009, 11:27 pm
An amazing cooincidence (or?) from 5/27/2009 poweball game, last sequence 4wb, powerball and power play all in Padovan sequence...

Padovan Sequence Analysis:

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 ...

Date                      wb                             pb             pp                        Padovan Sequence Match

------------------------------------------------------------------------------------------------------

05/27/2009        05 06 12 16 21      +07           x 03                                   4                            

05/23/2009        19 23 34 52 57      +21           x 05                                   0

05/20/2009        23 30 31 35 42      +06           x 02                                   0

05/16/2009        06 07 31 40 56      +38           x 02                                   1

05/13/2009        19 30 32 37 40      +37           x 03                                   1

05/09/2009        04 15 32 49 58      +21           x 03                                   2

05/06/2009        07 08 12 22 31      +18           x 05                                   2

05/02/2009        03 20 38 42 45      +27           x 03                                   1

04/29/2009        06 19 36 50 59      +13           x 05                                   0

04/25/2009        08 26 30 42 52      +15           x 05                                   0

04/22/2009        15 22 30 37 48      +12           x 02                                   1

04/18/2009        07 15 28 43 44      +20           x 03                                   2

04/15/2009        16 22 26 27 59      +05           x 02                                   1

04/11/2009        07 28 35 46 49      +20           x 04                                   3

04/08/2009        01 06 48 52 56      +09           x 05                                   1   

04/04/2009        14 21 50 57 58      +07           x 03                                   1

04/01/2009        02 09 33 41 54      +14           x 03                                   2

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