Reciprocating oscillation
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Reciprocating oscillation is an action of oscillation where the oscillation vector varies its amplitude, frequency and or displacement reciprocally. (Note: not to be confused with the reciprocal of the given sinusoidal function). For example, an oscillation that changes its amplitude and thereby, for example, its displacement every cycle to half that of its initial amplitude is said to be reciprocating. Note that the term reciprocating can be used loosely to describe such an action but usually is not because such an action can be defined easily as two separate oscilations. Instead it is more commonly used to describe an oscillation in which the second definable oscillation can be defined as a non-rotary cycle as its displacement.
Reciprocating oscillation is an action where an oscillating body reciprocates within the oscillation, where reciprocation is distinct from just another oscillation by only "jumping up and down" and not oscillating about an axis.