## OSCILLATION

### Oscillation

**Oscillation**is the repetitive variation, typically in time, of some measure about a central value or between two or more different states. Familiar examples include a swinging pendulum and AC power. The term vibration is sometimes used more narrowly to mean a mechanical oscillation but is sometimes used as a synonym of "oscillation". Oscillations occur not only in mechanical systems but also in biological systems, from human society to the brain.

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### oscillation

#### Noun

- the act of oscillating or the state of being oscillated
- a regular periodic fluctuation in value about some mean
- a single such cycle
- defined for each point <math>x</math> in the domain of the function by <math>\inf\left\{\mathrm{diam}(f(U))\mid U\mathrm{\ is\ a\ neighborhood\ of\ }x\right\}</math>, and describes the difference (possibly ∞) between the limit superior and limit inferior of the function near that point.

*The above text is a snippet from Wiktionary: oscillation*

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