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Definition oscillation

Etymology

From French oscillation, from Latin oscillatio

Noun

oscillation (countable and uncountable, plural oscillations)

1. the act of oscillating or the state of being oscillated
2. a regular periodic fluctuation in value about some mean
3. a single such cycle
4. (mathematics) (of a function) defined for each point ${\displaystyle x}$ in the domain of the function by ${\displaystyle \inf \left\{\mathrm {diam} (f(U))\mid U\mathrm {\ is\ a\ neighborhood\ of\ } x\right\}}$, and describes the difference (possibly ?) between the limit superior and limit inferior of the function near that point.