User blog comment:Alemagno12/Untitled Notation V2/@comment-5029411-20150729204452/@comment-99.185.0.100-20150808163745

$$\omega^{\Omega2+\alpha} = \varepsilon_1^{\omega^{\alpha}}$$

$$\omega^{\Omega3} = \varepsilon_2$$

$$\omega^{\Omega(1+\alpha)} = \varepsilon_\alpha$$

\omega^{\Omega^2} = \varepsilon_{\varepsilon_{\varepsilon_{._{._{._{}}}}}}