Old Murgu Table2To3
also as Collatz Table2To3
For Table2To3, Click here
For Coparative Table2To3 vs Collatz Procedures, Click here
For a Table vs Collatz Procedures, Click here
Table2To3 come with a proper Referential System which reveal a perfect grid of Collatz Conjecture
Odd Integers distribution.
Repeat distribution.
AND , bring 2 Linear Functions
with a perfect distribution and dual connections. 4 formulas :
Distribution formulas 2:
a = 1 + 8i
b = 3 + 4i
Connections formulas 2
2C 1 = 3(1 + 8i) +1 =>
C 1 = 1 + 6i
2C 2 = 3(3 + 4i) +1 =>
C 2 = 5 + 6i
Those Formulas cover (3∞/8) ODD INTEGERS
The Number of Odd Integers is (∞/2), then we are losing (∞/8).
False, as Table2To3 reveal our loss.
Those are distributed on a Linear Distribution Formula
l = 5 + 8i
But , not a surprise, as we speak before about divergence of Collatz Conjecture.
For those , Connections Formulas are
Functional Divergent Formulas
Then need to demonstrate unicity for those
2C 3 = 3(5 + 8i) +1
Functional Divergent Formulas
2C 3 = 3(5 + 8i) +1
Unicity Demonstration
2C 3 = 3(5 + 8i) +1
=> 2C 3 = 15 + 24i +1 =>
2C 3 = 15 + 24i +1 => 2C 3 = 16 + 24i
C 3 = 8 + 12i => C 3 = 2 + 3i
last one is reduction to Odd Integers by Collatz rule , simplify with 2.
C 3 = 2 + 3i bring divergence to Collatz Conjecture as related C 1
and C 2 have a different form even if appear as a Linear Function. Practical wear a form
wear a form which to connect also to first 2 linear functions.
Anyway we Close Collatz Conjecture and can say
Collatz Conjecture End
For a skilled in Math - Demonstration End here.
For the rest I will return with more.
For Table2To3 Click Here
Mathematics and Science and even Culture get new not only Metaphoric values , as :
Only Human Can Image Collatz Conjecture
Infinity Per 6 - Collatz Paths
Via Murgu Table2To3 and poetic USA Marker Murgu Arrow
Collatz Conjecture End as is an USA Intellectual Property became
USA Science And Culture Precious Value.
First need to understand i , as variable into last formulas :
1 + 6 i =C1 for Odds (1 + 8 i)
5 + 3 i =C2 for Odds (3 + 4 i)
2 + 3 i =C3 for Odds (5 + 4 i)
that i Cover Odds and Evens Integers.
BUT , C1 , C2 , and C3 are Collatz Connections for,
(1 + 8 i) or (3 + 4 i) or (5 + 4 i).
All 3 formulas present quality of unicity , and seem
to be linear , than we can say -Collatz End here -
but {2 + 3 i =C3} bring a kind
of divergence by a fact , for (i Even)
C3 = Even
and May pass more
Collatz 2 divisions .
Then appear repetaded loss of linearity , and can induce
false idea , or fear of
Collatz Unity not UNIQUE Root
Collatz Conjecture UNIQUE Root UNITY
Here you will need to rteturn to
Old Murgu Table2To3
OR also as Collatz Table2To3
to understand
Murgu Collatz Perfect Grid To Infinity
Murgu Collatz Logical Dead Nodes
Murgu Collatz Inverse Method
Murgu Collatz Inverse Method Formulas
22kT-1 = 3 X1 for T Odd Integer 1St position in Grid
2(2k+1)T-1 = 3 X2 for T Odd Integer 1St position in Grid
X1 and X2 are Down(virtual) Collatz Connections for T Odd
Integers excluding T for which T is divided by 3.
This, logic, is not a exclusion , when a strong logic which explain a lot.
Logical Dead Nodes are ∞/6
Those can be considered False Roots which make strongest UNITY rights for
Unity Collatz Conjecture Unique Root
Logical Dead Nodes fall via theirs first odd Integer Connection to Unity also.
Demonstrated in above links.
Murgu Collatz Inverse Method Formulas exclude all doubts about
Unity NOT Collatz Conjecture Unique Root
22kT-1 = 3 X1 for T Odd Integer 1St position in Grid and k=1
2(2k+1)T-1 = 3 X2 for T Odd Integer 1St position in Grid and k=0
Those will be first Inverse method Collatz Connections
22T-1 = 3 X1 for T Odd Integer 1St position in Grid and k=1
21T-1 = 3 X2 for T Odd Integer 1St position in Grid and k=0
Those connect all Integers excluding Logical Dead Nodes to Linear dependent connections.
Every Logical Dead Node is connected to one those via a pure Collatz Connection.
Unity Collatz Conjecture Unique Root DEMONSTRATED.
Murgu Collatz Inverse Method Formulas can be used to reveal
Collatz Conjecture Beauty
in a software wich to reveal it for any limited Infinity.
Importance of Collatz Conjecture Logical Solution Murgu Table2To3
Murgu Table2To3 SOLVEd Collatz Conjecture as an H-Intel Logical Beauty and
USA H_Intel Victory , Then can have rights to USA Science And Culture Treasury
even USA Science And Culture Library Treasury. But, over all , important is
Knowledge Labyrinth Extractions coming for.
Best One is - First Functyional Divergence Solved(Solution)
then - 87 years mind blowing - SOLVED - H_Intel Proud
then - maybe only for My- Comparative Infinity State
Infinity_Per_6 - 1St Infinity Separation Identities
All Metaphoric and poetic frazes.
and more
As Yet a lot of Friends Scientists and Mathematicians don't understood yet
Murgu Table2To3 (Collatz_Table2To3)
Down will present 2 Comparative Table
To see it you have links down.
But First, to analyze for what
Murgu Table2To3 Solved first
Functional Divergence - Collatz Conjecture -
Not using any aproximations or proofs, but by pure logical demonstrations.
Murgu Table2To3
or Collatz Table2To3
Solved Collatz Conjecture
Murgu Table2To3 brought
{∞/8 + ∞/4 = (3∞/8) }
As Odds Integers are ∞/2 we are losing apprently ∞/8 ;
In our table Murgu Inverse Method don't expres Logical Dead Nodes (all Odds Integers
Divided By 3). But we demonstrated all of those are Connected to an Odd Integer via
pure Collatz Procedures . Then this Integer is one contained in OUR TABLE2TO3.
The Problem is Odd Integers are
∞/6 when table loss only ∞/8
This bring a new beauty logical
( ∞/6 - ∞/8 = ∞/12 )
(∞/12) - all fall in the same Odd Integer - Unity - .
Errata: (∞/24)
Also Need to remark : - All odd Positive Integers, including Logical Dead Nodes , let
a Open Door to Infinity via Up (2i x) ; where x is odd Positive Integer and i
1 to ∞ .
- also any time maybe I don't repeat Positive Integers , when Collatz Conjecture is
valid only there. Into Negative Integers - Murgu Conjecture Vicious Redundancy (3x - 1)
became Collatz into negative Integers as logical mirroring into.
Trust My: Murgu CVR is best intelligence provocation.
End Errata .
Unity is an Logical Dead Node for Infinity.
Those are Explained by a Murgu Lemas Formula
( 2k -1 = 3x ) where x Odd Integer
To see it , see next link.
Table of Logical Dead Nodes, Click here
For Coparative Table2To3 vs Collatz Procedures, Click here
For a Table vs Collatz Procedures, Click here
Murgu_Table2To3 which show for first 34 Grids Logical Eternal Triads Collatz Procedure Connections.
Instead Of Table 2To3 Reverse Logic here became clear divergence on solved.
Murgu_Table2To3 Compared with Pure Collatz Procedure Evolving Table.
Instead Of Table 2To3 Reverse Logic, here became clear divergence on.
Comparation show is about a Functional Divergence.
A Pure Collatz Procedure Evolving Table.
To show Functional Divergence.
Table of Logical Dead Nodes.
Show Unity as also an Logical Dead Node for Infinity.
AND explain for what Logical Dead Nodes are FALSE Roots.