## Radians versus Cycles

Our usual frequency variable is
in *radians per second*.
However, certain Fourier theorems are undeniably simpler and more
elegant when the frequency variable is chosen to be
in
*cycles per second*. The two are of course related by

(B.1) |

As an example, is more compact than . On the other hand, it is nice to get rid of all normalization constants in the Fourier transform and its inverse:

(B.2) | |||

(B.3) |

The ``editorial policy'' for this book is this: Generally, is preferred, but is used when considerable simplification results.

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