oscillation

Meaning

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 $x$ in the domain of the function by $\inf\left\\left\{\mathrm\left\{diam\right\}\left(f\left(U\right)\right)\mid U\mathrm\left\{\ is\ a\ neighborhood\ of\ \right\}x\right\\right\}$, and describes the difference (possibly ∞) between the limit superior and limit inferior of the function near that point.

Origin

• From French oscillation, from Latin oscillatio, from Latin oscillo

Modern English dictionary

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