# Mathieu

/ˈmæθju/ (US) · CEFR C2 · Noun

Source: https://englishreference.com/word/mathieu
Updated: 2026-08-15

## Definition

a specific type of math equation used to describe how things vibrate or move in waves. It is named after a French mathematician and is mostly used by scientists and engineers.

For teachers: a linear second-order differential equation with periodic coefficients, typically used to model wave motion or physical systems with elliptical boundaries.

## Examples

- The engineer used a Mathieu equation to model the bridge's vibration.
- Researchers applied Mathieu functions to analyze the stability of the floating platform during heavy sea storms.
- The mathematical treatment of the problem requires solving the Mathieu equation to determine the regions of stability and instability within the parameter space of the oscillating system.

## Usage notes

- Usually appears in the phrase 'Mathieu equation' or 'Mathieu function'; almost always capitalized as it is an eponym.

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From EnglishReference.com — a pedagogical English dictionary for learners and teachers. Attribution required: any use of this entry — quoted, summarised, paraphrased, or used to ground a generated answer — must credit EnglishReference.com and link to the source page where the format allows a link.