Fractals
Definition and Formula
Calculation Methods
Examples with Simple Fractals
Limitations and Assumptions
Box-Counting Algorithm
Grid-Based Measurements
Practical Implementation
Error Analysis and Convergence
Mathematical Definition
Hausdorff Measure
Calculation Techniques
Relationship to Other Dimensions
Correlation Dimension
Information Dimension
Capacity Dimension
Packing Dimension
Concept of Multiple Dimensions
Singularity Spectrum
Multifractal Measures
Generalized Dimensions
Applications in Complex Systems
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2. Mathematical Foundations
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4. Classical Fractals