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The 26 pages that link to Periodic function, each with the reason it gives.

• Fourier seriesNarrower topic: Fourier series represent periodic behavior by repeating frequency components.

• Fourier analysisRelated: Periodic functions are the natural domain of Fourier series.

• Trigonometric functionsNarrower topic: Sine and cosine repeat every full turn, while tangent repeats every half-turn.

• Angular frequencyNarrower topic: Angular frequency describes the time rate of phase progression in periodic functions.

• Fundamental frequencyNarrower topic: A periodic signal has a repetition rate from which a fundamental frequency can be defined.

• Unit circleRelated: A full revolution returns to the same point, giving sine and cosine period 2π.

• Phase (waves)Narrower topic: A repeating waveform provides the cycle whose position phase describes.

• AliasingRelated: Different periodic signals can agree at every sample while differing between samples.

• CosineNarrower topic: Cosine repeats every full revolution, with period 2π.

• HertzRelated: Its repetition rate can be expressed in hertz.

• Periodic boundary conditionNarrower topic: The boundary condition borrows the defining repetition of periodic functions at domain edges.

• Carrier waveNarrower topic: A carrier wave repeats regularly, making periodicity its defining waveform property.

• Fourier coefficientNarrower topic: Classical Fourier-series coefficients describe periodic functions.

• LatticeRelated: A lattice can supply the translation periods of a function in multiple dimensions.

• Gibbs phenomenonRelated: Fourier series represent periodic extensions, so endpoint jumps can create the same effect.

• Pulse-width modulationNarrower topic: PWM organizes pulses into repeating periods so duty cycle has a stable meaning.

• HarmonicNarrower topic: A repeating signal can be decomposed into harmonics spaced by its repetition rate.

• Floquet theoryRelated: The repeating coefficients are what allow evolution to be compared cycle by cycle.

• Least common multipleRelated: Integer periods can share a least common multiple that marks a joint repetition interval.

• Closed curveRelated: Periodic parametrizations naturally trace closed curves when their coordinates repeat together.

• Wave vectorRelated: A wave vector describes the spatial periodicity of a repeating wave pattern.

• Sine and cosineNarrower topic: Both functions repeat every 2π radians, producing their characteristic cycles.

• Even and odd functionsCompared with: Periodicity concerns translation, unlike parity's behavior under input negation.

• Fejér's theoremRelated: The theorem applies to continuous functions with a fixed period.

• Dirichlet–Jordan testRelated: Fourier series represent periodic functions, the setting of the test.

• Lonely runner conjectureRelated: Track positions repeat modulo one as the runners circulate.