http://wiki.googology.top/index.php?action=history&feed=atom&title=Catching%E5%87%BD%E6%95%B0%E5%88%86%E6%9E%901%EF%BC%9ABO~EBO
Catching函数分析1：BO~EBO - 版本历史
2026-04-22T17:21:09Z
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http://wiki.googology.top/index.php?title=Catching%E5%87%BD%E6%95%B0%E5%88%86%E6%9E%901%EF%BC%9ABO~EBO&diff=2860&oldid=prev
2026年2月25日 (三) 15:10 Z
2026-02-25T15:10:42Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">←上一版本</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">2026年2月25日 (三) 23:10的版本</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">第1行：</td>
<td colspan="2" class="diff-lineno">第1行：</td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>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。</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>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。</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>\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}</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"><math></ins>\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}<ins style="font-weight: bold; text-decoration: none;"></math></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"><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})}</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">\\&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></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">[[分类:分析]]</ins></div></td></tr>
</table>
Z
http://wiki.googology.top/index.php?title=Catching%E5%87%BD%E6%95%B0%E5%88%86%E6%9E%901%EF%BC%9ABO~EBO&diff=2857&oldid=prev
Z：创建页面，内容为“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{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^\Omeg…”
2026-02-25T14:55:38Z
<p>创建页面，内容为“本条目展示<a href="/index.php/Catching_%E5%87%BD%E6%95%B0" title="Catching 函数">Catching函数</a>的分析。以下左为<a href="/index.php/FGH" class="mw-redirect" title="FGH">FGH</a>，右为<a href="/index.php/SGH" class="mw-redirect" title="SGH">SGH</a>。均用<a href="/index.php/%E5%BA%8F%E6%95%B0%E5%9D%8D%E7%BC%A9%E5%87%BD%E6%95%B0#MOCF_简介" title="序数坍缩函数">MOCF</a>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^\Omeg…”</p>
<p><b>新页面</b></p><div>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。<br />
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\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}</div>
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