Definition:Little-Omega Notation/Notation

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Notation for $\omega$ Notation

The expression $\map f n \in \map \omega {\map g n}$ is read as:

$\map f n$ is little-omega of $\map g n$

While it is correct and accurate to write:

$\map f n \in \map \omega {\map g n}$

it is a common abuse of notation to write:

$\map f n = \map \omega {\map g n}$

This notation offers some advantages.