# Definition of oscillation

Definition of oscillation
1. oscillation Noun the act of oscillating or the state of being oscillated
2. oscillation Noun a regular periodic fluctuation in value about some mean
3. oscillation Noun a single such cycle
4. oscillation Noun defined for each point x in the domain of the function by \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.