查看“︁SGH与FGH对照”︁的源代码

本条目展示[[SGH]]与[[FGH]]的对照

<math>g_{\varepsilon_0\times2}(n)=g_{\varepsilon_0+\varepsilon_0[n]}(n)=(n\uparrow\uparrow n)\times2</math>

<math>g_{\varepsilon_0\times\omega}(n)=g_{\varepsilon_0\times n}(n)=(n\uparrow\uparrow n)\times n</math>

<math>g_{\varepsilon_0\times\omega^2}(n)=g_{\varepsilon_0\times\omega\times n}(n)=(n\uparrow\uparrow n)\times n^2</math>

<math>g_{\varepsilon_0\times\omega^\omega}(n)=g_{\varepsilon_0\times\omega^n}(n)=(n\uparrow\uparrow n)\times n^n</math>

<math>g_{\varepsilon_0\times\omega^{\omega^\omega}}(n)=(n\uparrow\uparrow n)\times (n\uparrow\uparrow3)</math>

<math>g_{\varepsilon_0^2}(n)=g_{\varepsilon_0\times\varepsilon_0[n]}(n)=(n\uparrow\uparrow n)^2</math>

<math>g_{\varepsilon_0^3}(n)=(n\uparrow\uparrow n)^3</math>

<math>g_{\varepsilon_0^\omega}(n)=g_{\varepsilon_0^n}(n)=(n\uparrow\uparrow n)^n</math>

<math>g_{\varepsilon_0^{\omega^\omega}}(n)=(n\uparrow\uparrow n)^{n^n}</math>

<math>g_{\varepsilon_0^{\varepsilon_0}}(n)=(n\uparrow\uparrow n)^{n\uparrow\uparrow n}=(n\uparrow\uparrow n)\uparrow\uparrow2</math>

<math>g_{\varepsilon_0^{\varepsilon_0^{\varepsilon_0}}}(n)=(n\uparrow\uparrow n)\uparrow\uparrow3</math>

<math>g_{\varepsilon_1}(n)=(n\uparrow\uparrow n)\uparrow\uparrow n\approx n\uparrow\uparrow(n\times2)</math>

<math>g_{\varepsilon_2}(n)=((n\uparrow\uparrow n)\uparrow\uparrow n)\uparrow\uparrow n\approx n\uparrow\uparrow(n\times3)</math>

<math>n\uparrow\uparrow(n\times3)\sim\varepsilon_2</math>

<math>n\uparrow\uparrow(n\times3+1)\sim\varepsilon_2^{\varepsilon_2}</math>

<math>n\uparrow\uparrow(n\times3+2)\sim\varepsilon_2^{\varepsilon_2^{\varepsilon_2}}</math>

<math>n\uparrow\uparrow(n\times4)\sim\varepsilon_3
</math>

<math>n\uparrow\uparrow(n\times5)\sim\varepsilon_4</math>

\begin{align} & n\uparrow\uparrow(n^2)\sim\varepsilon_\omega\\ &n\uparrow\uparrow(n^2+1)\sim\varepsilon_\omega^{\varepsilon_\omega}\\&n\uparrow\uparrow(n^2+n)\sim\varepsilon_{\omega+1}\\&n\uparrow\uparrow(n^2\times2)\sim\varepsilon_{\omega\times2}\\&n\uparrow\uparrow(n^3)\sim\varepsilon_{\omega^2}\\&n\uparrow\uparrow(n^n)=n\uparrow\uparrow n\uparrow\uparrow2\sim\varepsilon_{\omega^\omega}\\&n\uparrow\uparrow(n^n+n)\sim\varepsilon_{\omega^\omega+1}\\&<nowiki>n\uparrow\uparrow(n^{n+1})\sim\varepsilon_{\omega^{\omega+1}}\\&</nowiki><nowiki>n\uparrow\uparrow(n^{n^2})\sim\varepsilon_{\omega^{\omega^2}}\\&</nowiki><nowiki>n\uparrow\uparrow n\uparrow\uparrow3\sim\varepsilon_{\omega^{\omega^\omega}}\\&</nowiki>n\uparrow\uparrow n\uparrow\uparrow n=n\uparrow\uparrow\uparrow 3\sim\varepsilon_{\varepsilon_0}\\&n\uparrow\uparrow (n\uparrow\uparrow n+n)\sim\varepsilon_{\varepsilon_0+1}\\&n\uparrow\uparrow ((n\uparrow\uparrow n)\times2)\sim\varepsilon_{\varepsilon_0\times2}\\&<nowiki>n\uparrow\uparrow ((n\uparrow\uparrow n)\uparrow\uparrow 2)\approx n\uparrow\uparrow n\uparrow\uparrow(n+1)\sim\varepsilon_{\varepsilon_0^{\varepsilon_0}}\\&</nowiki>n\uparrow\uparrow n\uparrow\uparrow(n\times2)\sim\varepsilon_{\varepsilon_1}\\&n\uparrow\uparrow n\uparrow\uparrow(n^2)\sim\varepsilon_{\varepsilon_\omega}\\&<nowiki>n\uparrow\uparrow n\uparrow\uparrow n\uparrow\uparrow n=n\uparrow\uparrow\uparrow4\sim\varepsilon_{\varepsilon_{\varepsilon_0}}\\&</nowiki>n\uparrow\uparrow\uparrow n\sim\zeta_0\\&(n\uparrow\uparrow\uparrow n)\uparrow\uparrow n\sim\varepsilon_{\zeta_0+1}\\&(n\uparrow\uparrow\uparrow n)\uparrow\uparrow (n\times2)\sim\varepsilon_{\zeta_0+2}\\&(n\uparrow\uparrow\uparrow n)\uparrow\uparrow (n\uparrow\uparrow n)\sim\varepsilon_{\zeta_0+\varepsilon_0}\\&(n\uparrow\uparrow\uparrow n)\uparrow\uparrow (n\uparrow\uparrow\uparrow n)\approx n\uparrow\uparrow\uparrow(n+1)\sim\varepsilon_{\zeta_0\times2}\\&<nowiki>(n\uparrow\uparrow\uparrow n)\uparrow\uparrow (n\uparrow\uparrow\uparrow n)\uparrow\uparrow n\sim\varepsilon_{\varepsilon_{\zeta_0+1}}\\&</nowiki><nowiki>(n\uparrow\uparrow\uparrow n)\uparrow\uparrow (n\uparrow\uparrow\uparrow n)\uparrow\uparrow (n\uparrow\uparrow\uparrow n)\sim\varepsilon_{\varepsilon_{\zeta_0\times2}}\\&</nowiki>(n\uparrow\uparrow\uparrow n)\uparrow\uparrow \uparrow n\approx n\uparrow\uparrow\uparrow(n\times2)\sim\zeta_1\\&(n\uparrow\uparrow\uparrow(n\times2))\uparrow\uparrow n\sim\varepsilon_{\zeta_1+1}\\&(n\uparrow\uparrow\uparrow(n\times2))\uparrow\uparrow (n\uparrow\uparrow\uparrow n)\sim\varepsilon_{\zeta_1+\zeta_0}\\&(n\uparrow\uparrow\uparrow(n\times2))\uparrow\uparrow (n\uparrow\uparrow\uparrow(n\times2))\sim\varepsilon_{\zeta_1\times2}\\&(n\uparrow\uparrow\uparrow(n\times2))\uparrow\uparrow \uparrow n\approx n\uparrow\uparrow\uparrow(n\times3)\sim\zeta_2\\&n\uparrow\uparrow\uparrow(n^2)\sim\zeta_\omega\\&n\uparrow\uparrow\uparrow(n^n)\sim\zeta_{\omega^\omega}\\&n\uparrow\uparrow\uparrow(n\uparrow\uparrow n)\sim\zeta_{\varepsilon_0}\\&n\uparrow\uparrow\uparrow n\uparrow\uparrow\uparrow n \sim\zeta_{\zeta_0}\\&n\uparrow\uparrow\uparrow\uparrow n \sim\eta_0\\&(n\uparrow\uparrow\uparrow\uparrow n)\uparrow\uparrow\uparrow n \sim\zeta_{\eta_0+1}\\&n\uparrow\uparrow\uparrow\uparrow (n\times2) \sim\eta_1\\&n\uparrow^53 \sim\eta_{\eta_0}\\&n\uparrow^5n \sim\varphi(4,0)\\&n\uparrow^5(n\times2) \sim\varphi(4,1)\\&n\uparrow^6 n \sim\varphi(5,0)\\&n\uparrow^n n \sim\varphi(\omega,0)\\ \end{align}