## FANDOM

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For me, some ordinals are too big to understand. So I came up with this notation:

If the ordinal $\beta$ whose $g_\beta(x)$ is the closest to $f_\alpha(x)$ of all ordinals (I can't define proper definition for that, but it's just intuitive thing for me),

$f_\alpha(\omega)=\beta$

This definition is from the nature of SGH.

Here's some examples:

Since $f_1(x)=2x$ , $f_1(\omega)= \omega 2$.

Since $f_\omega(x)\simeq x\uparrow^x x$ , $f_\omega(\omega)\simeq \omega\uparrow ^{\omega}\omega \simeq \varphi(\omega,0)$.

Also, SVO would be $f_{\omega^{\omega}}(\omega)$.

But I think it works under $\vartheta(\Omega_{\omega})$ because at that point, FGH becomes equal to SGH.

(note: if this were defined properly, it would be a great discovery in googology.)

(Being written)