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**TOP OF PAGE | TABLE OF CONTENTS**

**Foreword | Introduction | Dimensions | The Unit | Structures | Unitary/Structural Relationship | The Structural/Dimensional Relationship**

**Order and Class | Undefined Quantities | The Matrix Representation | Expanding Unitary Structures | Higher-Ordered Structures**

** Numeric Representation of Expansion Sets | Matrix Standardizations and Notations | Formula Generation of Proximate Matrix Values**

**Numeric Patterns Derived From the Matrix | Doubling Vertices | Base-1 | Sequence of Sums | Higher Base-System Sequences**

** Other Sequencial Phenomena | Early Extractions of S _{x}_{ }|_{ }Root Extraction from S_{0}_{ }| A Derivative Relationship of the Earliest Classes**

** Denominator Progression | Extractions for All S _{x}_{ }| Numerator Exponent Growth Constant | Chained Factors in the Numerator**

** Simplifying the Chained Factors | Synopsis of the Matrix Formula**

**Figure 1 | Figure 2 | Figure 3 | Figure 4 | Figure 5 | Figure 6 | Figure 7 | Figure 8 | Figure 9**