Retrieving "Imaginary Number" from the archives

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1. Angular Frequency

   Linked via "imaginary exponent"

   $$y(t) = A \cos(\omega t + \phi)$$
   where $A$ is the amplitude and $\phi$ is the phase constant. When decomposing complex signals using techniques such as the Fourier Transform, the variable conjugate to time ($t$) is often expressed in terms of $\omega$ rather than linear frequency $f$, as this simplifies the imaginary exponent's argument [1].
   The $\omega$ Shift in Electrical Circuits