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# Combinatorial Symmetry

Topic closed. 7 replies. Last post 10 years ago by JADELottery.

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The Quantum Master
West Concord, MN
United States
Member #21
December 7, 2001
3684 Posts
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 Posted: November 7, 2006, 4:35 pm - IP Logged

Combinatorial Symmetry

Symmetric Number - S(n,z) = n - z +1

n - total number of items
z - item number in the set

Each combination has a symmetrical equivalent. The symmetrical combinatorial set of a known combination can be found by applying the function to each item number in the set. For example, in a 6/49 lottery, if the numbers drawn were {2, 7, 12, 33, 46, 49}, the symmetrical counter part can be found.

{(49 - 2 + 1), (49 - 7 + 1), (49 - 12 + 1), (49 - 33 + 1), (49 - 46 + 1), (49 - 49 + 1)} = {48, 43, 38, 17, 4, 1}

Put in ascending order {1, 4, 17, 38, 43, 48} is the symmetrical counter part of {2, 7, 12, 33, 46, 49}.

There are also some combinations that are self symmetric. Example, {1, 13, 24, 26, 37, 49} is symmetric with itself.

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Jehocifer

Harbinger
D.C./MD.
United States
Member #44103
July 30, 2006
5587 Posts
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 Posted: November 7, 2006, 10:12 pm - IP Logged

Combinatorial Symmetry

Symmetric Number - S(n,z) = n - z +1

n - total number of items
z - item number in the set

Each combination has a symmetrical equivalent. The symmetrical combinatorial set of a known combination can be found by applying the function to each item number in the set. For example, in a 6/49 lottery, if the numbers drawn were {2, 7, 12, 33, 46, 49}, the symmetrical counter part can be found.

{(49 - 2 + 1), (49 - 7 + 1), (49 - 12 + 1), (49 - 33 + 1), (49 - 46 + 1), (49 - 49 + 1)} = {48, 43, 38, 17, 4, 1}

Put in ascending order {1, 4, 17, 38, 43, 48} is the symmetrical counter part of {2, 7, 12, 33, 46, 49}.

There are also some combinations that are self symmetric. Example, {1, 13, 24, 26, 37, 49} is symmetric with itself.

JADELottery,  great stuff you are posting here, but what is the meaning, relevance, and or practical use of these probability formulas for winning or hitting anything?  I am wondering how can these formulas be used to pick a couple of numbers, in laymen terms.  Symmetry is beautiful in nature, chemistry, optics, etc., but does number symmetry help us win? If so where?

Thanks,

jarasan

The Quantum Master
West Concord, MN
United States
Member #21
December 7, 2001
3684 Posts
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 Posted: November 8, 2006, 3:00 am - IP Logged

JADELottery,  great stuff you are posting here, but what is the meaning, relevance, and or practical use of these probability formulas for winning or hitting anything?  I am wondering how can these formulas be used to pick a couple of numbers, in laymen terms.  Symmetry is beautiful in nature, chemistry, optics, etc., but does number symmetry help us win? If so where?

Thanks,

jarasan

jarasan,

you're getting a little ahead of me. all i ask is please have some patients; it will all fall into place eventually.

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, 5:39 pm - IP Logged

Combinatorial Symmetry

Symmetric Number - S(n,z) = n - z +1

n - total number of items
z - item number in the set

Each combination has a symmetrical equivalent. The symmetrical combinatorial set of a known combination can be found by applying the function to each item number in the set. For example, in a 6/49 lottery, if the numbers drawn were {2, 7, 12, 33, 46, 49}, the symmetrical counter part can be found.

{(49 - 2 + 1), (49 - 7 + 1), (49 - 12 + 1), (49 - 33 + 1), (49 - 46 + 1), (49 - 49 + 1)} = {48, 43, 38, 17, 4, 1}

Put in ascending order {1, 4, 17, 38, 43, 48} is the symmetrical counter part of {2, 7, 12, 33, 46, 49}.

There are also some combinations that are self symmetric. Example, {1, 13, 24, 26, 37, 49} is symmetric with itself.

Fantastic explanation.  Funny thing is , I have been working some things like this but forgotten what it was called.

OLD/Vtrac

United States
Member #5344
June 30, 2004
23641 Posts
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 Posted: November 11, 2006, 5:51 pm - IP Logged

JADELottery,  great stuff you are posting here, but what is the meaning, relevance, and or practical use of these probability formulas for winning or hitting anything?  I am wondering how can these formulas be used to pick a couple of numbers, in laymen terms.  Symmetry is beautiful in nature, chemistry, optics, etc., but does number symmetry help us win? If so where?

Thanks,

jarasan

Just back test the example with your pick 5 ... and apply the phimatrix and the pick 5 schooling tips.. Amazing~

OLD/Vtrac

Honduras
Member #20982
August 29, 2005
4715 Posts
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 Posted: November 13, 2006, 11:43 pm - IP Logged

jade lottery do you know anything about combinatorics?I am interested in the field but find not much about the subject and anything i find is very complicated..Do you know anything about combinatorics for dummies?

The Quantum Master
West Concord, MN
United States
Member #21
December 7, 2001
3684 Posts
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 Posted: November 14, 2006, 2:32 am - IP Logged

jade lottery do you know anything about combinatorics?I am interested in the field but find not much about the subject and anything i find is very complicated..Do you know anything about combinatorics for dummies?

I don't know anything about a book, Combinations for Dummies, or anything like that.

I know a little bit about combinatorics, and do some research and study in the areas of Mathematics and Physics in general and any other subheadings that might be related.

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

The Quantum Master
West Concord, MN
United States
Member #21
December 7, 2001
3684 Posts
Offline
 Posted: November 28, 2006, 9:26 am - IP Logged

Combinatorial Symmetry

Symmetric Number - S(n,z) = n - z +1

n - total number of items
z - item number in the set

Each combination has a symmetrical equivalent. The symmetrical combinatorial set of a known combination can be found by applying the function to each item number in the set. For example, in a 6/49 lottery, if the numbers drawn were {2, 7, 12, 33, 46, 49}, the symmetrical counter part can be found.

{(49 - 2 + 1), (49 - 7 + 1), (49 - 12 + 1), (49 - 33 + 1), (49 - 46 + 1), (49 - 49 + 1)} = {48, 43, 38, 17, 4, 1}

Put in ascending order {1, 4, 17, 38, 43, 48} is the symmetrical counter part of {2, 7, 12, 33, 46, 49}.

There are also some combinations that are self symmetric. Example, {1, 13, 24, 26, 37, 49} is symmetric with itself.

Combinatorial Symmetry - Column Symmetry

Symmetric Column Number -    Sc(r,c) = r - c + 1

r - items per combinatorial set (pick value)
c - column place of the number n referred to in the Symmetric Number earlier

The symmetric column number relates to combinations that are in ascending order only. As an example, in a 6/49 lottery, the number 1 in column 1 has a symmetric number and column number; symmetric number of 49 = (49 - 1 +1) and symmetric column number of 6 = (6 - 1 + 1). Another example: number 12 in column 2 has a symmetric counter part of the number 38 = (49 - 12 + 1) in column 5 = (6 - 2 + 1).

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