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Harmonic Analysis

Harmonic analysis, in the field of mathematics, physics, and music, refers to the study and decomposition of complex patterns or functions into simpler components called harmonics. It involves the analysis of periodic waveforms, such as sound waves, to understand their fundamental and harmonic frequencies.

Usage examples:

1. Mathematics: Harmonic analysis is a powerful tool used in the study of Fourier series and the analysis of functions on groups.
2. Physics: In the field of physics, harmonic analysis is utilized to analyze the frequency content of signals and explore the structure of oscillatory systems.
3. Music: Harmonic analysis plays a crucial role in music theory by analyzing the chords, progressions, and tonal structure present within a musical piece.

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