Oscillate
Definition
In calculus, "oscillate" refers to the behavior of a function when it repeatedly alternates between two values without approaching any particular number. It describes functions that exhibit periodic fluctuations around one or more equilibrium points.
Analogy
Think about swinging on a swing set at the park. As you swing back and forth, your position constantly changes between being high in the air and low near the ground. The motion of swinging can be described as oscillating between these two extreme positions.
Related terms
Periodic Function: A periodic function is one that repeats its pattern over regular intervals. It exhibits oscillatory behavior by repeating itself after certain time intervals.
Amplitude: The amplitude of an oscillating function represents the maximum distance from its equilibrium position. It measures the height or depth of the oscillations.
Frequency: The frequency of an oscillating function determines how many complete cycles it completes in a given time period. It measures how fast the function oscillates.
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