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Fundamentals

Welcome to the Fundamentals section. Here, we introduce the core concepts and mathematical tools that underpin the Formal Order Analysis of sequences and their structure.

  • Ideas: This section explores the foundational ideas, motivations, and principles behind Formal Order Analysis.

  • Order and its measures: Learn about the concept of an Order in sequences, including how to quantify and characterize order using measures such as arithmetic mean, geometric mean, and related interval-based characteristics.

  • Partials and Congenerics: Discover conceptions of Partial and Congeneric sequences, its Order and other derivatives.

  • Congeneric Decomposition: This section details the process and significance of breaking down sequences into congeneric components, providing a framework and measures for deeper structural analysis.

Each section builds on the previous, providing a comprehensive foundation for understanding and applying formal order analysis to a wide range of problems.