Matching-up Structrual Patterns HomePage
On the Match-Up of Structural Patterns within Prime Number Systems
by Frank C. Fung ( 1st published in October, 2012. )
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Summary for the paper :
In this paper , we shall take a Graphics Approach ,
to match-up Structual Patterns derived from Prime Numbers and/or Composite Numbers arising therefrom .
In particular , we shall look at the [ SWING Process ] and the [ Zoning Process ] .
which together determines how to throw-out unwanted composite-numbers above the Upper-Limit of our investigation .
Table of Content
Table of Content
Table Of Content
Part I --- Introduction and Preliminaries
Section I
Introduction
Part II --- Summarizing on previous Data
Section II
A Quick Review of Unique-Factorization Combinatorics
Section III
Summarizing data on the { All Natural Prime Number System }
Section IV
Summarizing data on the { Modulo 30 Prime Number System }
Part III --- Matching Structural Patterns via Grahpics
Section V
Setting up the { CHI-Axis } for our Graphic Analysis
Section VI
{ Category II-Type A } in the [ Modulo 30 Prime Number System ]
Section VII
{ Category II-Type B } in the [ Modulo 30 Prime Number System ]
Section VIII
{ Category III-Type A } in the [ Modulo 30 Prime Number System ]
Section IX
{ Category III-Type B } in the [ Modulo 30 Prime Number System ]
Section X
{ Category III-Type C } in the [ Modulo 30 Prime Number System ]
Section XI
Explaining the [ SWING Process ] and the [ Zoning Process ]
Section XII
Doing the [ Cut-Off Process ] via the SWING
Part IV --- Looking at Divison-Lines and Power Expansions
Section XIII
Divison-Lines and Power Expansions
Part V --- Concluding Remarks
Section XIV
Concluding Remarks
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Section I - Introduction
return to the Title Paper :
An Approach to the Structural Integrity of Prime Number Systems
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Original dated 2012-10-08