Visual meaning of 'oscillations'? - learn with images, example in daily life

noun

The act of oscillating or the state of being oscillated

"The child's swing showed wide oscillations as she pumped her legs. "

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noun

A regular periodic fluctuation in value about some mean

"The swing's oscillations gradually decreased until it came to a complete stop. "

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noun

A single such cycle

"The pendulum completed two oscillations before stopping. "

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

noun

(of a function) 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.

"The oscillations in the student's grades throughout the semester showed a pattern of fluctuating performance. "

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