User blog comment:Vel!/Ordinal Hyper-E 2.0/@comment-5150073-20130409102606/@comment-25418284-20130409170819

The E function extracts the coefficient of a term. \(E_\gamma(\alpha)\) is the coefficient of \(\omega^\alpha\).

For example, if \(\alpha = 42\Gamma_6 + 1337\varepsilon_1 + \omega^\omega\), we have \(E_{\Gamma_6}(\alpha) = 42\), \(E_{\varepsilon_1}(\alpha) = 1337\), \(E_{\omega}(\alpha) = 1\).