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September 22, 2016, 8:17 amThr's a Moose Loose ner a Hoose.

Entry #3,831
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September 22, 2016, 8:13 amA Fact is A Fact.

Entry #3,830
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September 21, 2016, 1:56 pmBreaking News...

... Yea-uh, It's Broken Alright.

Entry #3,829
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September 20, 2016, 3:24 pmCliamte Chump Change Con

 

Entry #3,828
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September 19, 2016, 10:35 pmCombinatorial Fractalization reformated

A while back we post the Combinatorial Fractalization.

Unfortunately, we used a format that could only be seen correctly in Internet Explorer.

We reformatted it for other browsers.

 

Combinatorial Fractalization

    C(n, r) =  [from z = 1 to z = n - r + 1]  Σ C(n - z, r - 1)

    C(n, r) = C(n - 1, r - 1) + C(n - 2, r - 1) + C(n - 3, r - 1) + ... + C(r + 3, r - 1) + C(r + 2, r - 1) + C(r + 1, r - 1) + C(r, r - 1) + C(r - 1, r - 1)

    Fractals of C(n, r) -  {C(n - 1, r - 1), C(n - 2, r - 1), C(n - 3, r - 1), ... , C(r + 3, r - 1), C(r + 2, r - 1), C(r + 1, r - 1), C(r, r - 1), C(r - 1, r - 1)}
        Fractals of C(n, r) - [from z = 1 to z = n - r + 1] ψ {C(n - z, r - 1)}

    Iteration of C(n, r) Fractals
          Fractals of C(n - 1, r - 1) - {C(n - 2, r - 2), C(n - 3, r - 2), C(n - 4, r - 2), ... , C(r + 2, r - 2), C(r + 1, r - 2), C(r, r - 2), C(r - 1, r - 2), C(r - 2, r - 2)}
          Fractals of C(n - 1, r - 1) - [from z = 1 to z = n - r + 1] ψ {C(n - z - 1, r - 2)}



      Fractals of C(n - 2, r - 1) - {C(n - 3, r - 2), C(n - 4, r - 2), C(n - 5, r - 2), ... , C(r + 2, r - 2), C(r + 1, r - 2), C(r, r - 2), C(r - 1, r - 2), C(r - 2, r - 2)}
      Fractals of C(n - 2, r - 1) - [from z = 1 to z = n - r] ψ {C(n - z - 2, r - 2)}


      Fractals of C(n - 3, r - 1) - {C(n - 4, r - 2), C(n - 5, r - 2), C(n - 6, r - 2), ... , C(r + 2, r - 2), C(r + 1, r - 2), C(r, r - 2), C(r - 1, r - 2), C(r - 2, r - 2)}
      Fractals of C(n - 3, r - 1) - [from z = 1 to z = n - r -1] ψ {C(n - z - 3, r - 2)}
      .
          .
          .

          Fractals of C(r + 1, r - 1) - {C(r, r - 2), C(r - 1, r - 2), C(r - 2, r - 2)}

      Fractals of C(r + 1, r - 1) - [from z = 1 to z = 3] ψ {C(r - z + 1, r - 2)}


      Fractals of C(r, r - 1) - {C(r - 1, r - 2), C(r - 2, r - 2)}
      Fractals of C(r, r - 1) - [from z = 1 to z = 2] ψ {C(r - z, r - 2)}


      Fractals of C(r - 1, r - 1) - {C(r - 2, r - 2)}
      Fractals of C(r - 1, r - 1) - [from z = 1 to z = 1] ψ {C(r - z - 1, r - 2)}

Within every combinatorial set there are subsets of combinations that are similar in characteristics to the whole combination. Example, below is a sample combinatorial set of 8 numbers taken 6 at a time. Alongside the combinatorial set are a few subsets of combinations. Table 1 shows only one leg of the fractal path. The fractals are in red and transformed to the right. The symbol Ψ is the superset fractal and extends to infinity.

 

Table 1
Fractal Path is Ψ ψ(8,6) ψ(7,5) ψ(6,4) ψ(5,3) ψ(4,2) ψ(3,1)

1

2

3

4

5

6

1

2

3

4

5

1

2

3

4

1

2

3

1

2

1

1

2

3

4

5

7

1

2

3

4

6

1

2

3

5

1

2

4

1

3

2

1

2

3

4

5

8

1

2

3

4

7

1

2

3

6

1

2

5

1

4

3

1

2

3

4

6

7

1

2

3

5

6

1

2

4

5

1

3

4

2

3

 

 

1

2

3

4

6

8

1

2

3

5

7

1

2

4

6

1

3

5

2

4

 

 

1

2

3

4

7

8

1

2

3

6

7

1

2

5

6

1

4

5

3

4

 

 

1

2

3

5

6

7


1

2

4

5

6

1

3

4

5

2

3

4

 

 

 

 

 

1

2

3

5

6

8

1

2

4

5

7

1

3

4

6

2

3

5

 

 

 

 

 

1

2

3

5

7

8

1

2

4

6

7

1

3

5

6

2

4

5

 

 

 

 

 

1

2

3

6

7

8

1

2

5

6

7

1

4

5

6

3

4

5

 

 

 

 

 

1

2

4

5

6

7

1

3

4

5

6

2

3

4

5

 

 

 

 

 

 

 

 

 

1

2

4

5

6

8

1

3

4

5

7

2

3

4

6

 

 

 

 

 

 

 

 

 

1

2

4

5

7

8

1

3

4

6

7

2

3

5

6

 

 

 

 

 

 

 

 

 

1

2

4

6

7

8

1

3

5

6

7

2

4

5

6

 

 

 

 

 

 

 

 

 

1

2

5

6

7

8

1

4

5

6

7

3

4

5

6

 

 

 

 

 

 

 

 

 

1

3

4

5

6

7

2

3

4

5

6

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1

3

4

5

6

8

2

3

4

5

7

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1

3

4

5

7

8

2

3

4

6

7

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1

3

4

6

7

8

2

3

5

6

7

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1

3

5

6

7

8

2

4

5

6

7

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1

4

5

6

7

8

3

4

5

6

7

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2

3

4

5

6

7

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2

3

4

5

6

8

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2

3

4

5

7

8

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2

3

4

6

7

8

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2

3

5

6

7

8

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2

4

5

6

7

8

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

3

4

5

6

7

8

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Here's another fractal path shown in Table 2.

 

Table 2
Fractal Path is Ψ ψ(8,6) ψ(7,5) ψ(5,4) ψ(3,3) ψ(2,2) ψ(1,1)

1

2

3

4

5

6

1

2

3

4

5

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1

2

3

4

5

7

1

2

3

4

6

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1

2

3

4

5

8

1

2

3

4

7

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1

2

3

4

6

7

1

2

3

5

6

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1

2

3

4

6

8

1

2

3

5

7

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1

2

3

4

7

8

1

2

3

6

7

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1

2

3

5

6

7

1

2

4

5

6

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1

2

3

5

6

8

1

2

4

5

7

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1

2

3

5

7

8

1

2

4

6

7

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1

2

3

6

7

8

1

2

5

6

7

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1

2

4

5

6

7

1

3

4

5

6

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1

2

4

5

6

8

1

3

4

5

7

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1

2

4

5

7

8

1

3

4

6

7

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1

2

4

6

7

8

1

3

5

6

7

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1

2

5

6

7

8

1

4

5

6

7

 

 

 

 

 

 

 

 

 

 

 

 

 

 

1

3

4

5

6

7

2

3

4

5

6

1

2

3

4

 

 

 

 

 

 

 

 

 

1

3

4

5

6

8

2

3

4

5

7

1

2

3

5

 

 

 

 

 

 

 

 

 

1

3

4

5

7

8

2

3

4

6

7

1

2

4

5

 

 

 

 

 

 

 

 

 

1

3

4

6

7

8

2

3

5

6

7

1

3

4

5

 

 

 

 

 

 

 

 

 

1

3

5

6

7

8

2

4

5

6

7

2

3

4

5

1

2

3

1

2

1

1

4

5

6

7

8

3

4

5

6

7

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2

3

4

5

6

7

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2

3

4

5

6

8

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

2

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2

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8

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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Last Edited: September 20, 2016, 10:22 am

Entry #3,827
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September 19, 2016, 8:34 amOH-Yeah baby!! Let's Make It Happen!

Entry #3,824
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September 18, 2016, 10:53 amBombing...Lies, ALL Lies.

Entry #3,823
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September 17, 2016, 11:11 amYep, sure is.

Entry #3,822
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September 14, 2016, 6:23 amBack to work.

2 and a half weeks of vacation.

Well, that ought to do it.

Entry #3,820
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September 13, 2016, 9:30 pmWatching Mrs. Brown's Boys...

D'Movie..!!!

Entry #3,819
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September 13, 2016, 7:07 pmYeees, We Are the One.

http://www.jadexcode.com/jehocifer.aspx

From http://www.jadexcode.com/centurynaught.txt

-72-
2010-08-24-03:07 UT
Property of the State, the Nation is lead to believe.
Mislead the people see a hero in the empty promises.
He has the creed in a hidden faction,head of a Gorn.
Troubling desperate times calling for desperate measures.
The people will live to regret their ignorance and inaction.

 

 

Last Edited: September 13, 2016, 11:44 pm

Entry #3,818
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September 13, 2016, 1:31 pmUhnember this one.

Last Edited: September 13, 2016, 1:53 pm

Entry #3,815
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September 13, 2016, 11:16 amProtest without Hard Core Community Service and High Dollar Donation...

Protest without Hard Core Community Service and High Dollar Donation is just another Hypocrite.

Get Off Your Ass and Knees and do more than just some petty, attention grasping gesture.

Entry #3,812
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September 12, 2016, 11:39 pmI Caught the Catchy

You Say Deplorable.

I Say Despicable.

We Say Disgusting.

Out of the Melting Pot and into the Basket Case.

Uhff... eventually you're gonna have to get along.

And, that's just me talking to myself, I wonder.

Entry #3,811
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September 12, 2016, 12:42 pmMy Ex picked up some quick picks she thinks she's going to win.

Ann's quick picks for Mon, Tue, Wed:

 

MN Gopher 5: 04 06 13 19 36

 

Mega Millions: 04 43 45 48 49 - 13 Really? Nearly all 40's for the Pick 5 part.

 

Powerball: 07 39 44 55 59 - 04

Last Edited: September 12, 2016, 12:56 pm

Entry #3,810
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