User blog comment:Alemagno12/Untitled Notation V2/@comment-5029411-20150729204452/@comment-99.185.0.100-20150808163509

$$\omega^{\Omega} = \varepsilon_0$$

$$\omega^{\Omega+1} = \varepsilon_0^{\omega}$$

$$\omega^{\Omega+2} = \varepsilon_0^{\omega^2}$$

$$\omega^{\Omega+\alpha} = \varepsilon_0^{\omega^\alpha}$$

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