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* Time and frequency: the longer a musical note is sustained, the more precisely we know its frequency (but it spans more time). Conversely, a very short musical note becomes just a click, and so one can't know its frequency very accurately.
* Position and momentum: precise measurements of position lead to ambiguity of momentum, and vice versa.
* Angle (angular position) and angular momentum;
* [[Doppler]] and range: the more we know about how far away a [[radar]] target is, the less we can know about the exact velocity of approach or retreat, and vice versa. In this case, the two dimensional function of doppler and range is known as a [[radar ambiguity function]] or '''radar ambiguity diagram'''.
A pair of conjugate variables are often [[Fourier transform]] duals of one-another, or more generally are related through [[Pontryagin duality]]. The duality relations lead naturally to an uncertainty relation between them.
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