Mathematics · React · 2025
Cyclic Sequence Analyser
A React application that applies the Discrete Fourier Transform to cyclic numerical sequences and expresses detected patterns as closed-form trigonometric equations.
Operating context
The tool converts a sequence from a table of values into a readable mathematical model, linking algorithmic analysis with a learning-oriented interface.
Problem
Periodic patterns can be difficult to interpret from raw numerical sequences.
Approach
The application applies DFT analysis and presents discovered periodicity as readable trigonometric expressions.
Key product decisions
- Presented the computed result as an equation, not only as frequency-domain output.
- Used mathematical typesetting to keep transformations readable.
- Kept input, calculation, and visual explanation in a single workflow.
Technical architecture
React interface with mathematical rendering and calculation-driven visualisation.
Current result
A technical experiment connecting algorithmic analysis and a readable learning interface.