Catching函数分析1：BO~EBO：修订间差异

2026年2月25日 (三) 23:10的最新版本

本条目展示Catching函数的分析。以下左为FGH，右为SGH。均用MOCF表示。

$\begin{aligned} . \\ f_{3} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω} + 1) \\ f_{4}^{n} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω} + Ω) \\ f_{ω}^{n} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω} + Ω^{Ω}) \\ f_{ω^{ω}}^{n} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω} + Ω^{Ω^{Ω}}) \\ f_{ψ (0)}^{n} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω} + ψ_{1} (Ω)) \\ f_{ψ (Ω) [n]} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω} + ψ_{1} (Ω_{2})) \\ f_{ψ (Ω_{2}) [n]} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω} + ψ_{1} (Ω_{3})) \\ f_{ψ (Ω_{3}) [n]} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω} + ψ_{1} (Ω_{4})) \\ f_{ψ (Ω_{ω}) [n]} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω} + ψ_{1} (Ω_{ω})) \\ f_{ψ (Ω_{ω}) [n]}^{2} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω} + ψ_{1} (Ω_{ω}) \times 2) \\ f_{ψ (Ω_{ω}) [n] + 1}^{n} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω} + ψ_{1} (Ω_{ω}) \times Ω) \\ f_{ψ (Ω_{ω}) [n] \times 2} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω} + ψ_{1} (Ω_{ω})^{2}) \\ f_{ψ (Ω_{ω} [n] + 1)} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω} + ψ_{1} (Ω_{ω} + 1)) \\ f_{ψ (Ω_{ω} [n] + ω)}^{n} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω} + ψ_{1} (Ω_{ω} + Ω)) \\ f_{ψ (Ω_{ω} [n] + ψ (0) [n])} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω} + ψ_{1} (Ω_{ω} + ψ_{1} (0))) \\ f_{ψ (Ω_{ω} [n] + ψ (Ω_{ω} [n]))} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω} + ψ_{1} (Ω_{ω} + ψ_{1} (Ω_{ω}))) \\ f_{ψ (Ω_{ω} [n] + Ω) [n]} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω} + Ω_{2}) \\ f_{ψ (Ω_{ω} [n] + Ω) [n \times 2]} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω} + Ω_{2} \times 2) \\ f_{ψ (Ω_{ω} [n] + Ω)}^{n} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω} + Ω_{2} \times Ω) \\ f_{ψ (Ω_{ω} [n] + Ω^{2})}^{n} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω} + Ω_{2}^{2} \times Ω) \\ f_{ψ (Ω_{ω} [n] + ψ_{1} (0))}^{n} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω} + ψ_{2} (Ω)) \\ f_{ψ (Ω_{ω} [n] + ψ_{1} (Ω_{ω} [n]))} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω} + ψ_{2} (Ω_{ω})) \\ f_{ψ (Ω_{ω} [n] + ψ_{2} (Ω_{ω} [n]))} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω} + ψ_{3} (Ω_{ω})) \\ f_{ψ (Ω_{ω} [n] \times 2)} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω} \times 2) \\ f_{ψ (Ω_{ω} [n] \times 3)} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω} \times 3) \\ f_{ψ (Ω_{ω} [n] \times ω)}^{n} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω} \times Ω) \\ f_{ψ (Ω_{ω} [n] \times ψ (0))}^{n} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω} \times ψ_{1} (Ω)) \\ f_{ψ (Ω_{ω} [n] \times ψ (Ω_{ω} [n]))} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω} \times ψ_{1} (Ω_{ω})) \\ f_{ψ (Ω_{ω} [n] \times ψ_{1} (Ω_{ω} [n]))} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω} \times ψ_{2} (Ω_{ω})) \\ f_{ψ (Ω_{ω} [n]^{2})} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω}^{2}) \\ f_{ψ (Ω_{ω} [n]^{Ω_{ω} [n]})} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω}^{Ω_{ω}}) \\ f_{ψ (ψ_{n} (0))} (f_{ψ (Ω_{ω})} (n)) \sim ψ (ψ_{ω} (0)) \\ f_{ψ (Ω_{ω}) [n + 1]} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω + 1}) \\ f_{ψ (Ω_{ω}) [n + 2]} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω + 2}) \\ f_{ψ (Ω_{ω}) [n \times 2]} (f_{ψ (Ω_{ω})} (n)) \sim ψ (Ω_{ω \times 2}) \\ f_{ψ (Ω_{ω})}^{2} (n) \sim ψ (Ω_{ψ (Ω_{ω})}) \\ f_{ψ (Ω_{ω}) [f_{ψ (Ω_{ω})} (n) + 1]} (f_{ψ (Ω_{ω})}^{2} (n)) \sim ψ (Ω_{ψ (Ω_{ω}) + 1}) \\ f_{ψ (Ω_{ω})}^{3} (n) \sim ψ (Ω_{ψ (Ω_{ψ (Ω_{ω})})}) \\ f_{ψ (Ω_{ω}) + 1} (n) \sim ψ (Ω_{Ω}) \end{aligned}$

$\begin{aligned} . \\ f_{ψ (Ω_{ω}) [n]} (f_{ψ (Ω_{ω}) + 1} (n)) \sim ψ (Ω_{Ω} + ψ_{1} (Ω_{ω})) \\ f_{ψ (Ω_{ω})} (f_{ψ (Ω_{ω}) + 1} (n)) \sim ψ (Ω_{Ω} + ψ_{1} (Ω_{ψ (Ω_{Ω})})) \\ f_{ψ (Ω_{ω})}^{n} (f_{ψ (Ω_{ω}) + 1} (n)) \sim ψ (Ω_{Ω} + ψ_{1} (Ω_{Ω})) \\ f_{ψ (Ω_{ω})}^{n \times 2} (f_{ψ (Ω_{ω}) + 1} (n)) \sim ψ (Ω_{Ω} + ψ_{1} (Ω_{Ω}) \times 2) \\ f_{ψ (Ω_{ω}) + 1}^{2} (n) \sim ψ (Ω_{Ω} + ψ_{1} (Ω_{Ω}) \times ψ (Ω_{Ω})) \\ f_{ψ (Ω_{ω}) + 2} (n) \sim ψ (Ω_{Ω} + ψ_{1} (Ω_{Ω}) \times Ω) \\ f_{ψ (Ω_{ω}) + ω} (n) \sim ψ (Ω_{Ω} + ψ_{1} (Ω_{Ω}) \times Ω^{ω}) \\ f_{ψ (Ω_{ω}) + ω + 1} (n) \sim ψ (Ω_{Ω} + ψ_{1} (Ω_{Ω}) \times Ω^{Ω}) \\ f_{ψ (Ω_{ω}) + ψ (0) + 1} (n) \sim ψ (Ω_{Ω} + ψ_{1} (Ω_{Ω}) \times ψ_{1} (Ω)) \\ f_{ψ (Ω_{ω}) \times 2} (n) \sim ψ (Ω_{Ω} + ψ_{1} (Ω_{Ω}) \times ψ_{1} (Ω_{ω})) \\ f_{ψ (Ω_{ω}) \times 2 + 1} (n) \sim ψ (Ω_{Ω} + ψ_{1} (Ω_{Ω})^{2}) \\ f_{ψ (Ω_{ω}) \times 2 + 2} (n) \sim ψ (Ω_{Ω} + ψ_{1} (Ω_{Ω})^{2} \times Ω) \\ f_{ψ (Ω_{ω}) \times 3 + 1} (n) \sim ψ (Ω_{Ω} + ψ_{1} (Ω_{Ω})^{3}) \\ f_{ψ (Ω_{ω}) \times ω + 1} (n) \sim ψ (Ω_{Ω} + ψ_{1} (Ω_{Ω})^{Ω}) \\ f_{ψ (Ω_{ω})^{2} + 1} (n) \sim ψ (Ω_{Ω} + ψ_{1} (Ω_{Ω})^{ψ_{1} (Ω_{Ω})}) \\ f_{ψ (Ω_{ω} + 1)} (n) \sim ψ (Ω_{Ω} + ψ_{1} (Ω_{Ω} + 1)) \\ f_{ψ (Ω_{ω} + ψ (Ω_{ω}))} (n) \sim ψ (Ω_{Ω} + ψ_{1} (Ω_{Ω} + ψ_{1} (Ω_{ω}))) \\ f_{ψ (Ω_{ω} + ψ (Ω_{ω})) + 1} (n) \sim ψ (Ω_{Ω} + ψ_{1} (Ω_{Ω} + ψ_{1} (Ω_{Ω}))) \\ f_{ψ (Ω_{ω} + Ω)} (n) \sim ψ (Ω_{Ω} + Ω_{2}) \\ f_{ψ (Ω_{ω} \times 2)} (n) \sim ψ (Ω_{Ω} + Ω_{ω}) \\ f_{ψ (Ω_{ω} \times 2) + 1} (n) \sim ψ (Ω_{Ω} \times 2) \\ f_{ψ (Ω_{ω} \times 3) + 1} (n) \sim ψ (Ω_{Ω} \times 3) \\ f_{ψ (Ω_{ω} \times ω) + 1} (n) \sim ψ (Ω_{Ω} \times Ω) \\ f_{ψ (Ω_{ω} \times ψ (Ω_{ω})) + 1} (n) \sim ψ (Ω_{Ω} \times ψ_{1} (Ω_{Ω})) \\ f_{ψ (Ω_{ω} \times Ω)} (n) \sim ψ (Ω_{Ω} \times Ω_{2}) \\ f_{ψ (Ω_{ω} \times Ω_{2})} (n) \sim ψ (Ω_{Ω} \times Ω_{3}) \\ f_{ψ (Ω_{ω} \times Ω_{3})} (n) \sim ψ (Ω_{Ω} \times Ω_{4}) \\ f_{ψ (Ω_{ω}^{2})} (n) \sim ψ (Ω_{Ω} \times Ω_{ω}) \\ f_{ψ (Ω_{ω}^{2}) + 1} (n) \sim ψ (Ω_{Ω}^{2}) \\ f_{ψ (Ω_{ω}^{3}) + 1} (n) \sim ψ (Ω_{Ω}^{3}) \\ f_{ψ (Ω_{ω}^{ω}) + 1} (n) \sim ψ (Ω_{Ω}^{Ω}) \\ f_{ψ (Ω_{ω}^{Ω}) + 1} (n) \sim ψ (Ω_{Ω}^{Ω_{2}}) \\ f_{ψ (Ω_{ω}^{Ω_{ω}}) + 1} (n) \sim ψ (Ω_{Ω}^{Ω_{Ω}}) \\ f_{ψ (ψ_{ω} (0))} (n) \sim ψ (ψ_{Ω} (0)) \\ f_{ψ (Ω_{ω + 1})} (n) \sim ψ (Ω_{Ω + 1}) \\ f_{ψ (Ω_{ω + 2})} (n) \sim ψ (Ω_{Ω + 2}) \\ f_{ψ (Ω_{ω \times 2})} (n) \sim ψ (Ω_{Ω + ω}) \\ f_{ψ (Ω_{ω \times 2}) + 1} (n) \sim ψ (Ω_{Ω \times 2}) \\ f_{ψ (Ω_{ω \times 3}) + 1} (n) \sim ψ (Ω_{Ω \times 3}) \\ f_{ψ (Ω_{ω^{2}}) + 1} (n) \sim ψ (Ω_{Ω^{2}}) \\ f_{ψ (Ω_{ω^{ω}}) + 1} (n) \sim ψ (Ω_{Ω^{Ω}}) \\ f_{ψ (Ω_{ω^{ω^{ω}}}) + 1} (n) \sim ψ (Ω_{Ω^{Ω^{Ω}}}) \\ f_{ψ (Ω_{ψ (0)}) + 1} (n) \sim ψ (Ω_{ψ_{1} (Ω)}) \\ f_{ψ (Ω_{ψ (1)})} (n) \sim ψ (Ω_{ψ_{1} (Ω + 1)}) \\ f_{ψ (Ω_{ψ (1)}) + 1} (n) \sim ψ (Ω_{ψ_{1} (Ω + 1) \times Ω}) \\ f_{ψ (Ω_{ψ (ω)}) + 1} (n) \sim ψ (Ω_{ψ_{1} (Ω \times 2)}) \\ f_{ψ (Ω_{ψ (Ω)})} (n) \sim ψ (Ω_{ψ_{1} (Ω_{2})}) \\ f_{ψ (Ω_{ψ (Ω)}) + 1} (n) \sim ψ (Ω_{ψ_{1} (Ω_{2} \times Ω)}) \\ f_{ψ (Ω_{ψ (Ω_{2})})} (n) \sim ψ (Ω_{ψ_{1} (Ω_{3})}) \\ f_{ψ (Ω_{ψ (Ω_{ω})})} (n) \sim ψ (Ω_{ψ_{1} (Ω_{ω})}) \\ f_{ψ (Ω_{ψ (Ω_{ω})}) + 1} (n) \sim ψ (Ω_{ψ_{1} (Ω_{Ω})}) \\ f_{ψ (Ω_{ψ (Ω_{ω^{ω}})}) + 1} (n) \sim ψ (Ω_{ψ_{1} (Ω_{Ω^{Ω}})}) \\ f_{ψ (Ω_{ψ (Ω_{ψ (0)})}) + 1} (n) \sim ψ (Ω_{ψ_{1} (Ω_{ψ_{1} (Ω)})}) \\ f_{ψ (Ω_{Ω})} (n) \sim ψ (Ω_{Ω_{2}}) \\ f_{ψ (Ω_{Ω_{2}})} (n) \sim ψ (Ω_{Ω_{3}}) \\ f_{ψ (Ω_{Ω_{3}})} (n) \sim ψ (Ω_{Ω_{4}}) \\ f_{ψ (Ω_{Ω_{ω}})} (n) \sim ψ (Ω_{Ω_{ω}}) \\ C (1) = ψ (Ω_{Ω_{ω}}) \\ f_{ψ (Ω_{Ω_{ω}}) + 1} (n) \sim ψ (Ω_{Ω_{Ω}}) \\ f_{ψ (Ω_{Ω_{ω}}) + 2} (n) \sim ψ (Ω_{Ω_{Ω}} \times Ω) \\ f_{ψ (Ω_{Ω_{ω}}) \times 2 + 1} (n) \sim ψ (Ω_{Ω_{Ω}} \times ψ_{1} (Ω_{Ω_{Ω}})) \\ f_{ψ (Ω_{Ω_{ω}} \times Ω)} (n) \sim ψ (Ω_{Ω_{Ω}} \times Ω_{2}) \\ f_{ψ (Ω_{Ω_{ω}} \times Ω_{ω}) + 1} (n) \sim ψ (Ω_{Ω_{Ω}} \times Ω_{Ω}) \\ f_{ψ (Ω_{Ω_{ω} + 1})} (n) \sim ψ (Ω_{Ω_{Ω} + 1}) \\ f_{ψ (Ω_{ψ_{ω} (0)})} (n) \sim ψ (Ω_{ψ_{Ω} (0)}) \\ f_{ψ (Ω_{Ω_{ω + 1}})} (n) \sim ψ (Ω_{Ω_{Ω + 1}}) \\ f_{ψ (Ω_{Ω_{ψ (0)}})} (n) \sim ψ (Ω_{Ω_{ψ_{1} (0)}}) \\ f_{ψ (Ω_{Ω_{Ω}})} (n) \sim ψ (Ω_{Ω_{Ω_{2}}}) \\ f_{ψ (Ω_{Ω_{Ω_{ω}}})} (n) \sim ψ (Ω_{Ω_{Ω_{ω}}}) \\ C (2) = ψ (Ω_{Ω_{Ω_{ω}}}) \\ C (3) = ψ (Ω_{Ω_{Ω_{Ω_{ω}}}}) \\ C (ω) = ψ (ψ_{I} (0)) \end{aligned}$

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 本条目展示[[Catching 函数|Catching函数]]的分析。以下左为[[FGH]]，右为[[SGH]]。均用[[序数坍缩函数#MOCF 简介|MOCF]]表示。
-\begin{align}.\\&f_3(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+1)\\&f_4^n(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\Omega)\\&f_\omega^n(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\Omega^\Omega)\\&f_{\omega^\omega}^n(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\Omega^{\Omega^\Omega})\\&f_{\psi(0)}^n(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\psi_1(\Omega))\\&f_{\psi(\Omega)[n]}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\psi_1(\Omega_2))\\&f_{\psi(\Omega_2)[n]}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\psi_1(\Omega_3))\\&f_{\psi(\Omega_3)[n]}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\psi_1(\Omega_4))\\&f_{\psi(\Omega_\omega)[n]}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\psi_1(\Omega_\omega))\\&f_{\psi(\Omega_\omega)[n]}^2(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\psi_1(\Omega_\omega)\times2)\\&f_{\psi(\Omega_\omega)[n]+1}^n(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\psi_1(\Omega_\omega)\times\Omega)\\&f_{\psi(\Omega_\omega)[n]\times2}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\psi_1(\Omega_\omega)^2)\\&f_{\psi(\Omega_\omega[n]+1)}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\psi_1(\Omega_\omega+1))\\&f_{\psi(\Omega_\omega[n]+\omega)}^n(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\psi_1(\Omega_\omega+\Omega))\\&f_{\psi(\Omega_\omega[n]+\psi(0)[n])}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\psi_1(\Omega_\omega+\psi_1(0)))\\&f_{\psi(\Omega_\omega[n]+\psi(\Omega_\omega[n]))}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\psi_1(\Omega_\omega+\psi_1(\Omega_\omega)))\\&f_{\psi(\Omega_\omega[n]+\Omega)[n]}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\Omega_2)\\&f_{\psi(\Omega_\omega[n]+\Omega)[n\times2]}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\Omega_2\times2)\\&f_{\psi(\Omega_\omega[n]+\Omega)}^n(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\Omega_2\times\Omega)\\&f_{\psi(\Omega_\omega[n]+\Omega^2)}^n(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\Omega_2^2\times\Omega)\\&f_{\psi(\Omega_\omega[n]+\psi_1(0))}^n(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\psi_2(\Omega))\\&f_{\psi(\Omega_\omega[n]+\psi_1(\Omega_\omega[n]))}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\psi_2(\Omega_\omega))\\&f_{\psi(\Omega_\omega[n]+\psi_2(\Omega_\omega[n]))}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\psi_3(\Omega_\omega))\\&f_{\psi(\Omega_\omega[n]\times2)}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega\times2)\\&f_{\psi(\Omega_\omega[n]\times3)}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega\times3)\\&f_{\psi(\Omega_\omega[n]\times\omega)}^n(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega\times\Omega)\\&f_{\psi(\Omega_\omega[n]\times\psi(0))}^n(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega\times\psi_1(\Omega))\\&f_{\psi(\Omega_\omega[n]\times\psi(\Omega_\omega[n]))}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega\times\psi_1(\Omega_\omega))\\&f_{\psi(\Omega_\omega[n]\times\psi_1(\Omega_\omega[n]))}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega\times\psi_2(\Omega_\omega))\\&f_{\psi(\Omega_\omega[n]^2)}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega^2)\\&f_{\psi(\Omega_\omega[n]^{\Omega_\omega[n]})}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega^{\Omega_\omega})\\&f_{\psi(\psi_n(0))}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\psi_\omega(0))\\&f_{\psi(\Omega_\omega)[n+1]}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_{\omega+1})\\&f_{\psi(\Omega_\omega)[n+2]}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_{\omega+2})\\&f_{\psi(\Omega_\omega)[n\times2]}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_{\omega\times2})\\&f_{\psi(\Omega_\omega)}^2(n)\sim\psi(\Omega_{\psi(\Omega_\omega)})\\&f_{\psi(\Omega_\omega)[f_{\psi(\Omega_\omega)}(n)+1]}(f_{\psi(\Omega_\omega)}^2(n))\sim\psi(\Omega_{\psi(\Omega_\omega)+1})\\&f_{\psi(\Omega_\omega)}^3(n)\sim\psi(\Omega_{\psi(\Omega_{\psi(\Omega_\omega)})})\\&f_{\psi(\Omega_\omega)+1}(n)\sim\psi(\Omega_\Omega)\end{align}
+<math>\begin{align}.\\&f_3(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+1)\\&f_4^n(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\Omega)\\&f_\omega^n(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\Omega^\Omega)\\&f_{\omega^\omega}^n(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\Omega^{\Omega^\Omega})\\&f_{\psi(0)}^n(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\psi_1(\Omega))\\&f_{\psi(\Omega)[n]}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\psi_1(\Omega_2))\\&f_{\psi(\Omega_2)[n]}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\psi_1(\Omega_3))\\&f_{\psi(\Omega_3)[n]}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\psi_1(\Omega_4))\\&f_{\psi(\Omega_\omega)[n]}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\psi_1(\Omega_\omega))\\&f_{\psi(\Omega_\omega)[n]}^2(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\psi_1(\Omega_\omega)\times2)\\&f_{\psi(\Omega_\omega)[n]+1}^n(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\psi_1(\Omega_\omega)\times\Omega)\\&f_{\psi(\Omega_\omega)[n]\times2}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\psi_1(\Omega_\omega)^2)\\&f_{\psi(\Omega_\omega[n]+1)}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\psi_1(\Omega_\omega+1))\\&f_{\psi(\Omega_\omega[n]+\omega)}^n(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\psi_1(\Omega_\omega+\Omega))\\&f_{\psi(\Omega_\omega[n]+\psi(0)[n])}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\psi_1(\Omega_\omega+\psi_1(0)))\\&f_{\psi(\Omega_\omega[n]+\psi(\Omega_\omega[n]))}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\psi_1(\Omega_\omega+\psi_1(\Omega_\omega)))\\&f_{\psi(\Omega_\omega[n]+\Omega)[n]}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\Omega_2)\\&f_{\psi(\Omega_\omega[n]+\Omega)[n\times2]}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\Omega_2\times2)\\&f_{\psi(\Omega_\omega[n]+\Omega)}^n(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\Omega_2\times\Omega)\\&f_{\psi(\Omega_\omega[n]+\Omega^2)}^n(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\Omega_2^2\times\Omega)\\&f_{\psi(\Omega_\omega[n]+\psi_1(0))}^n(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\psi_2(\Omega))\\&f_{\psi(\Omega_\omega[n]+\psi_1(\Omega_\omega[n]))}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\psi_2(\Omega_\omega))\\&f_{\psi(\Omega_\omega[n]+\psi_2(\Omega_\omega[n]))}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega+\psi_3(\Omega_\omega))\\&f_{\psi(\Omega_\omega[n]\times2)}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega\times2)\\&f_{\psi(\Omega_\omega[n]\times3)}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega\times3)\\&f_{\psi(\Omega_\omega[n]\times\omega)}^n(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega\times\Omega)\\&f_{\psi(\Omega_\omega[n]\times\psi(0))}^n(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega\times\psi_1(\Omega))\\&f_{\psi(\Omega_\omega[n]\times\psi(\Omega_\omega[n]))}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega\times\psi_1(\Omega_\omega))\\&f_{\psi(\Omega_\omega[n]\times\psi_1(\Omega_\omega[n]))}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega\times\psi_2(\Omega_\omega))\\&f_{\psi(\Omega_\omega[n]^2)}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega^2)\\&f_{\psi(\Omega_\omega[n]^{\Omega_\omega[n]})}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_\omega^{\Omega_\omega})\\&f_{\psi(\psi_n(0))}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\psi_\omega(0))\\&f_{\psi(\Omega_\omega)[n+1]}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_{\omega+1})\\&f_{\psi(\Omega_\omega)[n+2]}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_{\omega+2})\\&f_{\psi(\Omega_\omega)[n\times2]}(f_{\psi(\Omega_\omega)}(n))\sim\psi(\Omega_{\omega\times2})\\&f_{\psi(\Omega_\omega)}^2(n)\sim\psi(\Omega_{\psi(\Omega_\omega)})\\&f_{\psi(\Omega_\omega)[f_{\psi(\Omega_\omega)}(n)+1]}(f_{\psi(\Omega_\omega)}^2(n))\sim\psi(\Omega_{\psi(\Omega_\omega)+1})\\&f_{\psi(\Omega_\omega)}^3(n)\sim\psi(\Omega_{\psi(\Omega_{\psi(\Omega_\omega)})})\\&f_{\psi(\Omega_\omega)+1}(n)\sim\psi(\Omega_\Omega)\end{align}</math>
+<math>\begin{align}.\\&f_{\psi(\Omega_\omega)[n]}(f_{\psi(\Omega_\omega)+1}(n))\sim\psi(\Omega_\Omega+\psi_1(\Omega_\omega))\\&f_{\psi(\Omega_\omega)}(f_{\psi(\Omega_\omega)+1}(n))\sim\psi(\Omega_\Omega+\psi_1(\Omega_{\psi(\Omega_\Omega)}))\\&f_{\psi(\Omega_\omega)}^n(f_{\psi(\Omega_\omega)+1}(n))\sim\psi(\Omega_\Omega+\psi_1(\Omega_\Omega))\\&f_{\psi(\Omega_\omega)}^{n\times2}(f_{\psi(\Omega_\omega)+1}(n))\sim\psi(\Omega_\Omega+\psi_1(\Omega_\Omega)\times2)\\&f_{\psi(\Omega_\omega)+1}^2(n)\sim\psi(\Omega_\Omega+\psi_1(\Omega_\Omega)\times\psi(\Omega_\Omega))\\&f_{\psi(\Omega_\omega)+2}(n)\sim\psi(\Omega_\Omega+\psi_1(\Omega_\Omega)\times\Omega)\\&f_{\psi(\Omega_\omega)+\omega}(n)\sim\psi(\Omega_\Omega+\psi_1(\Omega_\Omega)\times\Omega^\omega)\\&f_{\psi(\Omega_\omega)+\omega+1}(n)\sim\psi(\Omega_\Omega+\psi_1(\Omega_\Omega)\times\Omega^\Omega)\\&f_{\psi(\Omega_\omega)+\psi(0)+1}(n)\sim\psi(\Omega_\Omega+\psi_1(\Omega_\Omega)\times\psi_1(\Omega))\\&f_{\psi(\Omega_\omega)\times2}(n)\sim\psi(\Omega_\Omega+\psi_1(\Omega_\Omega)\times\psi_1(\Omega_\omega))\\&f_{\psi(\Omega_\omega)\times2+1}(n)\sim\psi(\Omega_\Omega+\psi_1(\Omega_\Omega)^2)\\&f_{\psi(\Omega_\omega)\times2+2}(n)\sim\psi(\Omega_\Omega+\psi_1(\Omega_\Omega)^2\times\Omega)\\&f_{\psi(\Omega_\omega)\times3+1}(n)\sim\psi(\Omega_\Omega+\psi_1(\Omega_\Omega)^3)\\&f_{\psi(\Omega_\omega)\times\omega+1}(n)\sim\psi(\Omega_\Omega+\psi_1(\Omega_\Omega)^\Omega)\\&f_{\psi(\Omega_\omega)^2+1}(n)\sim\psi(\Omega_\Omega+\psi_1(\Omega_\Omega)^{\psi_1(\Omega_\Omega)})\\&f_{\psi(\Omega_\omega+1)}(n)\sim\psi(\Omega_\Omega+\psi_1(\Omega_\Omega+1))\\&f_{\psi(\Omega_\omega+\psi(\Omega_\omega))}(n)\sim\psi(\Omega_\Omega+\psi_1(\Omega_\Omega+\psi_1(\Omega_\omega)))\\&f_{\psi(\Omega_\omega+\psi(\Omega_\omega))+1}(n)\sim\psi(\Omega_\Omega+\psi_1(\Omega_\Omega+\psi_1(\Omega_\Omega)))\\&f_{\psi(\Omega_\omega+\Omega)}(n)\sim\psi(\Omega_\Omega+\Omega_2)\\&f_{\psi(\Omega_\omega\times2)}(n)\sim\psi(\Omega_\Omega+\Omega_\omega)\\&f_{\psi(\Omega_\omega\times2)+1}(n)\sim\psi(\Omega_\Omega\times2)\\&f_{\psi(\Omega_\omega\times3)+1}(n)\sim\psi(\Omega_\Omega\times3)\\&f_{\psi(\Omega_\omega\times\omega)+1}(n)\sim\psi(\Omega_\Omega\times\Omega)\\&f_{\psi(\Omega_\omega\times\psi(\Omega_\omega))+1}(n)\sim\psi(\Omega_\Omega\times\psi_1(\Omega_\Omega))\\&f_{\psi(\Omega_\omega\times\Omega)}(n)\sim\psi(\Omega_\Omega\times\Omega_2)\\&f_{\psi(\Omega_\omega\times\Omega_2)}(n)\sim\psi(\Omega_\Omega\times\Omega_3)\\&f_{\psi(\Omega_\omega\times\Omega_3)}(n)\sim\psi(\Omega_\Omega\times\Omega_4)\\&f_{\psi(\Omega_\omega^2)}(n)\sim\psi(\Omega_\Omega\times\Omega_\omega)\\&f_{\psi(\Omega_\omega^2)+1}(n)\sim\psi(\Omega_\Omega^2)\\&f_{\psi(\Omega_\omega^3)+1}(n)\sim\psi(\Omega_\Omega^3)\\&f_{\psi(\Omega_\omega^\omega)+1}(n)\sim\psi(\Omega_\Omega^\Omega)\\&f_{\psi(\Omega_\omega^\Omega)+1}(n)\sim\psi(\Omega_\Omega^{\Omega_2})\\&f_{\psi(\Omega_\omega^{\Omega_\omega})+1}(n)\sim\psi(\Omega_\Omega^{\Omega_\Omega})\\&f_{\psi(\psi_\omega(0))}(n)\sim\psi(\psi_\Omega(0))\\&f_{\psi(\Omega_{\omega+1})}(n)\sim\psi(\Omega_{\Omega+1})\\&f_{\psi(\Omega_{\omega+2})}(n)\sim\psi(\Omega_{\Omega+2})\\&f_{\psi(\Omega_{\omega\times2})}(n)\sim\psi(\Omega_{\Omega+\omega})\\&f_{\psi(\Omega_{\omega\times2})+1}(n)\sim\psi(\Omega_{\Omega\times2})\\&f_{\psi(\Omega_{\omega\times3})+1}(n)\sim\psi(\Omega_{\Omega\times3})\\&f_{\psi(\Omega_{\omega^2})+1}(n)\sim\psi(\Omega_{\Omega^2})\\&f_{\psi(\Omega_{\omega^\omega})+1}(n)\sim\psi(\Omega_{\Omega^\Omega})\\&f_{\psi(\Omega_{\omega^{\omega^\omega}})+1}(n)\sim\psi(\Omega_{\Omega^{\Omega^\Omega}})\\&f_{\psi(\Omega_{\psi(0)})+1}(n)\sim\psi(\Omega_{\psi_1(\Omega)})\\&f_{\psi(\Omega_{\psi(1)})}(n)\sim\psi(\Omega_{\psi_1(\Omega+1)})\\&f_{\psi(\Omega_{\psi(1)})+1}(n)\sim\psi(\Omega_{\psi_1(\Omega+1)\times\Omega})\\&f_{\psi(\Omega_{\psi(\omega)})+1}(n)\sim\psi(\Omega_{\psi_1(\Omega\times2)})\\&f_{\psi(\Omega_{\psi(\Omega)})}(n)\sim\psi(\Omega_{\psi_1(\Omega_2)})\\&f_{\psi(\Omega_{\psi(\Omega)})+1}(n)\sim\psi(\Omega_{\psi_1(\Omega_2\times\Omega)})\\&f_{\psi(\Omega_{\psi(\Omega_2)})}(n)\sim\psi(\Omega_{\psi_1(\Omega_3)})\\&f_{\psi(\Omega_{\psi(\Omega_\omega)})}(n)\sim\psi(\Omega_{\psi_1(\Omega_\omega)})\\&f_{\psi(\Omega_{\psi(\Omega_\omega)})+1}(n)\sim\psi(\Omega_{\psi_1(\Omega_\Omega)})\\&f_{\psi(\Omega_{\psi(\Omega_{\omega^\omega})})+1}(n)\sim\psi(\Omega_{\psi_1(\Omega_{\Omega^\Omega})})\\&f_{\psi(\Omega_{\psi(\Omega_{\psi(0)})})+1}(n)\sim\psi(\Omega_{\psi_1(\Omega_{\psi_1(\Omega)})})\\&f_{\psi(\Omega_{\Omega})}(n)\sim\psi(\Omega_{\Omega_2})\\&f_{\psi(\Omega_{\Omega_2})}(n)\sim\psi(\Omega_{\Omega_3})\\&f_{\psi(\Omega_{\Omega_3})}(n)\sim\psi(\Omega_{\Omega_4})\\&f_{\psi(\Omega_{\Omega_\omega})}(n)\sim\psi(\Omega_{\Omega_\omega})\\&\color{red}{C(1)=\psi(\Omega_{\Omega_\omega})}
+\\&f_{\psi(\Omega_{\Omega_\omega})+1}(n)\sim\psi(\Omega_{\Omega_\Omega})\\&f_{\psi(\Omega_{\Omega_\omega})+2}(n)\sim\psi(\Omega_{\Omega_\Omega}\times\Omega)\\&f_{\psi(\Omega_{\Omega_\omega})\times2+1}(n)\sim\psi(\Omega_{\Omega_\Omega}\times\psi_1(\Omega_{\Omega_\Omega}))\\&f_{\psi(\Omega_{\Omega_\omega}\times\Omega)}(n)\sim\psi(\Omega_{\Omega_\Omega}\times\Omega_2)\\&f_{\psi(\Omega_{\Omega_\omega}\times\Omega_\omega)+1}(n)\sim\psi(\Omega_{\Omega_\Omega}\times\Omega_\Omega)\\&f_{\psi(\Omega_{\Omega_\omega+1})}(n)\sim\psi(\Omega_{\Omega_\Omega+1})\\&f_{\psi(\Omega_{\psi_\omega(0)})}(n)\sim\psi(\Omega_{\psi_\Omega(0)})\\&f_{\psi(\Omega_{\Omega_{\omega+1}})}(n)\sim\psi(\Omega_{\Omega_{\Omega+1}})\\&f_{\psi(\Omega_{\Omega_{\psi(0)}})}(n)\sim\psi(\Omega_{\Omega_{\psi_1(0)}})\\&f_{\psi(\Omega_{\Omega_{\Omega}})}(n)\sim\psi(\Omega_{\Omega_{\Omega_2}})\\&f_{\psi(\Omega_{\Omega_{\Omega_\omega}})}(n)\sim\psi(\Omega_{\Omega_{\Omega_\omega}})\\&\color{red}{C(2)=\psi(\Omega_{\Omega_{\Omega_\omega}})}\\&\color{red}{C(3)=\psi(\Omega_{\Omega_{\Omega_{\Omega_\omega}}})}\\&C(\omega)=\psi(\psi_I(0))\end{align}</math>
+[[分类:分析]]