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BMS分析Part1：0~BO：修订间差异

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小 文字替换 -“BMS”替换为“BMS”
 
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第1行： 第1行：
本条目展示[[Bashicu矩阵|BMS]]强度分析的第一部分
本条目展示[[BMS]]强度分析的第一部分
{| class="wikitable"
{| class="wikitable"
|BMS
|BMS
|Standard([[序数坍缩函数#BOCF|BOCF]])
|向上投影递归化
|-
|-
|(0)
|0
|1
|<math>0</math>
|-
|-
|(0)(0)
|(0)(0)
|2
|\(\psi(0)\)
|-
|(0)(0)(0)
|3
|-
|-
|(0)(1)
|(0)(1)
|ω = First Transfinte Ordinal
|\(\psi(1)\)
|-
|-
|(0)(1)(0)
|(0)(1)(0)
|ω+1
|\(\psi(1)+\psi(0)\)
|-
|(0)(1)(0)(0)
|ω+2
|-
|-
|(0)(1)(0)(1)
|(0)(1)(0)(1)
|ω2
|\(\psi(1)×2\)
|-
|(0)(1)(0)(1)(0)
|ω2+1
|-
|(0)(1)(0)(1)(0)(1)
|ω3
|-
|-
|(0)(1)(1)
|(0)(1)(1)
|ω^2
|\(\psi(2)\)
|-
|-
|(0)(1)(1)(0)
|(0)(1)(2)
|ω^2+1
|\(\psi(\omega)\)
|-
|-
|(0)(1)(1)(0)(1)
|(0)(1)(2)(0)
|ω^2+ω
|\(\psi(\omega)+\psi(0)\)
|-
|(0)(1)(1)(0)(1)(0)
|ω^2+ω+1
|-
|(0)(1)(1)(0)(1)(0)(1)
|ω^2+ω2
|-
|(0)(1)(1)(0)(1)(1)
|ω^2*2
|-
|(0)(1)(1)(0)(1)(1)(0)(1)(1)
|ω^2*3
|-
|-
|(0)(1)(1)(1)
|(0)(1)(2)(0)(1)
|ω^3
|\(\psi(\omega)+\psi(1)\)
|-
|-
|(0)(1)(1)(1)(1)
|(0)(1)(2)(0)(1)(1)
|ω^4
|\(\psi(\omega)+\psi(2)\)
|-
|(0)(1)(2)
|ω^ω = Linear Array Ordinal
|-
|(0)(1)(2)(0)
|ω^ω+1
|-
|-
|(0)(1)(2)(0)(1)(2)
|(0)(1)(2)(0)(1)(2)
|ω^ω*2
|\(\psi(\omega)×2\)
|-
|-
|(0)(1)(2)(1)
|(0)(1)(2)(1)
|ω^(ω+1)
|\(\psi(\omega+1)\)
|-
|-
|(0)(1)(2)(1)(1)
|(0)(1)(2)(1)(2)
|ω^(ω+2)
|\(\psi(\omega×2)=\psi(\psi(1)×2)\)
|-
|(0)(1)(2)(2)
|\(\psi(\psi(2))\)
|-
|-
|(0)(1)(2)(1)(2)
|(0)(1)(2)(2)(1)
|ω^(ω2)
|\(\psi(\psi(2)+\psi(0))\)
|-
|-
|(0)(1)(2)(1)(2)(1)(2)
|(0)(1)(2)(2)(1)(2)
|ω^(ω3)
|\(\psi(\psi(2)+\psi(1))\)
|-
|-
|(0)(1)(2)(2)
|(0)(1)(2)(2)(1)(2)(2)
|ω^ω^2
|\(\psi(\psi(2)×2)\)
|-
|-
|(0)(1)(2)(2)(2)
|(0)(1)(2)(2)(2)
|ω^ω^3
|\(\psi(\psi(3))\)
|-
|-
|(0)(1)(2)(3)
|(0)(1)(2)(3)
|ω^ω^ω
|\(\psi(\psi(\omega))\)
|-
|-
|(0)(1)(2)(3)(1)
|(0)(1)(2)(3)(2)
|ω^(ω^ω+1)
|\(\psi(\psi(\omega+1))\)
|-
|-
|(0)(1)(2)(3)(2)
|(0)(1)(2)(3)(2)(3)
|ω^ω^(ω+1)
|\(\psi(\psi(\psi(1)×2))\)
|-
|-
|(0)(1)(2)(3)(3)
|(0)(1)(2)(3)(3)
|ω^ω^(ω^2)
|\(\psi(\psi(\psi(2)))\)
|-
|-
|(0)(1)(2)(3)(4)
|(0)(1)(2)(3)(4)
|ω^ω^ω^ω
|\(\psi(\psi(\psi(\omega)))\)
|-
|(0)(1)(2)(3)(4)(5)
|ω^^5
|-
|-
|(0)(1,1)
|(0)(1,1)
|ψ(Ω) = Small Cantor's Ordinal
|\(\psi(\Omega)=ε0\)
|-
|(0)(1,1)(0)
|ψ(Ω)+1
|-
|-
|(0)(1,1)(0)(1,1)
|(0)(1,1)(0)(1,1)
|ψ(Ω)*2
|\(\psi(\Omega)×2\)
|-
|-
|(0)(1,1)(1)
|(0)(1,1)(1)
|ψ(Ω+1)
|\(\psi(\Omega+1)\)
|-
|(0)(1,1)(1)(1)
|\(\psi(\Omega+2)\)
|-
|-
|(0)(1,1)(1)(2)
|(0)(1,1)(1)(2)
|ψ(Ω+ω)
|\(\psi(\Omega+\omega)\)
|-
|(0)(1,1)(1)(2)(1)(2)
|\(\psi(\Omega+\omega×2)\)
|-
|(0)(1,1)(1)(2)(2)
|\(\psi(\Omega+\omega^2)=\psi(\Omega+\psi(2))\)
|-
|(0)(1,1)(1)(2)(3)
|\(\psi(\Omega+\psi(\omega))\)
|-
|(0)(1,1)(1)(2)(3)(2)
|\(\psi(\Omega+\psi(\omega+1))\)
|-
|(0)(1,1)(1)(2)(3)(2)(3)
|\(\psi(\Omega+\psi(\omega×2))\)
|-
|(0)(1,1)(1)(2)(3)(3)
|\(\psi(\Omega+\psi(\psi(2)))\)
|-
|(0)(1,1)(1)(2)(3)(4)
|\(\psi(\Omega+\psi(\psi(\omega)))\)
|-
|-
|(0)(1,1)(1)(2,1)
|(0)(1,1)(1)(2,1)
|ψ(Ω+ψ(Ω))
|\(\psi(\Omega+\psi(\Omega))\)
|-
|(0)(1,1)(1)(2,1)(0)(1,1)(1)(2,1)
|\(\psi(\Omega+\psi(\Omega))×2\)
|-
|-
|(0)(1,1)(1)(2,1)(1)
|(0)(1,1)(1)(2,1)(1)
|ψ(Ω+ψ(Ω)+1)
|\(\psi(\Omega+\psi(\Omega)+1)\)
|-
|(0)(1,1)(1)(2,1)(1)(2)
|\(\psi(\Omega+\psi(\Omega)+\omega)\)
|-
|(0)(1,1)(1)(2,1)(1)(2,1)
|\(\psi(\Omega+\psi(\Omega)×2)\)
|-
|-
|(0)(1,1)(1)(2,1)(2)
|(0)(1,1)(1)(2,1)(2)
|ψ(Ω+ψ(Ω+1))
|\(\psi(\Omega+\psi(\Omega+1))\)
|-
|(0)(1,1)(1)(2,1)(2)(1)(2,1)(2)
|\(\psi(\Omega+\psi(\Omega+1)×2)\)
|-
|(0)(1,1)(1)(2,1)(2)(2)
|\(\psi(\Omega+\psi(\Omega+2))\)
|-
|(0)(1,1)(1)(2,1)(2)(3)
|\(\psi(\Omega+\psi(\Omega+\omega))\)
|-
|-
|(0)(1,1)(1)(2,1)(2)(3,1)
|(0)(1,1)(1)(2,1)(2)(3,1)
|ψ(Ω+ψ(Ω+ψ(Ω)))
|\(\psi(\Omega+\psi(\Omega+\psi(\Omega)))\)
|-
|-
|(0)(1,1)(1,1)
|(0)(1,1)(1,1)
|ψ(Ω*2)
|\(\psi(\Omega×2)=ε1\)
|-
|-
|(0)(1,1)(1,1)(1)
|(0)(1,1)(1,1)(1)
|ψ(Ω*2+1)
|\(\psi(\Omega×2+1)\)
|-
|-
|(0)(1,1)(1,1)(1)(2)
|(0)(1,1)(1,1)(1)(2,1)
|ψ(Ω*2+ω)
|\(\psi(\Omega×2+\psi(\Omega))\)
|-
|-
|(0)(1,1)(1,1)(1)(2,1)
|(0)(1,1)(1,1)(1)(2,1)(2)
|ψ(Ω*2+ψ(Ω))
|\(\psi(\Omega×2+\psi(\Omega+1))\)
|-
|(0)(1,1)(1,1)(1)(2,1)(2)(3,1)
|\(\psi(\Omega×2+\psi(\Omega+\psi(\Omega)))\)
|-
|-
|(0)(1,1)(1,1)(1)(2,1)(2,1)
|(0)(1,1)(1,1)(1)(2,1)(2,1)
|ψ(Ω*2+ψ(Ω*2))
|\(\psi(\Omega×2+\psi(\Omega×2))\)
|-
|(0)(1,1)(1,1)(1)(2,1)(2,1)(1)(2,1)(2,1)
|\(\psi(\Omega×2+\psi(\Omega×2)×2)\)
|-
|-
|(0)(1,1)(1,1)(1)(2,1)(2,1)(2)
|(0)(1,1)(1,1)(1)(2,1)(2,1)(2)
|ψ(Ω*2+ψ(Ω*2+1))
|\(\psi(\Omega×2+\psi(\Omega×2+1))\)
|-
|(0)(1,1)(1,1)(1)(2,1)(2,1)(2)(1)(2,1)(2,1)(2)
|\(\psi(\Omega×2+\psi(\Omega×2+1)×2)\)
|-
|(0)(1,1)(1,1)(1)(2,1)(2,1)(2)(2)
|\(\psi(\Omega×2+\psi(\Omega×2+2))\)
|-
|(0)(1,1)(1,1)(1)(2,1)(2,1)(2)(3)
|\(\psi(\Omega×2+\psi(\Omega×2+\omega))\)
|-
|(0)(1,1)(1,1)(1)(2,1)(2,1)(2)(3,1)
|\(\psi(\Omega×2+\psi(\Omega×2+\psi(\Omega)))\)
|-
|-
|(0)(1,1)(1,1)(1)(2,1)(2,1)(2)(3,1)(3,1)
|(0)(1,1)(1,1)(1)(2,1)(2,1)(2)(3,1)(3,1)
|ψ(Ω*2+ψ(Ω*2+ψ(Ω*2)))
|\(\psi(\Omega×2+\psi(\Omega×2+\psi(\Omega×2)))\)
|-
|-
|(0)(1,1)(1,1)(1,1)
|(0)(1,1)(1,1)(1,1)
|ψ(Ω*3)
|\(\psi(\Omega×3)=ε2\)
|-
|-
|(0)(1,1)(1,1)(1,1)(1)(2,1)(2,1)(2,1)
|(0)(1,1)(1,1)(1,1)(1)(2,1)(2,1)(2,1)
|ψ(Ω*3+ψ(Ω*3))
|\(\psi(\Omega×3+\psi(\Omega×3))\)
|-
|-
|(0)(1,1)(1,1)(1,1)(1,1)
|(0)(1,1)(1,1)(1,1)(1,1)
|ψ(Ω*4)
|\(\psi(\Omega×4)\)
|-
|(0)(1,1)(1,1)(1,1)(1,1)(1,1)
|ψ(Ω*5)
|-
|-
|(0)(1,1)(2)
|(0)(1,1)(2)
|ψ(Ω*ω)
|\(\psi(\Omega×\omega)\)
|-
|-
|(0)(1,1)(2)(1)
|(0)(1,1)(2)(1)
|ψ(Ω*ω+1)
|\(\psi(\Omega×\omega+1)\)
|-
|-
|(0)(1,1)(2)(1)(2)
|(0)(1,1)(2)(1)(2)
|ψ(Ω*ω+ω)
|\(\psi(\Omega×\omega+\omega)\)
|-
|-
|(0)(1,1)(2)(1)(2,1)
|(0)(1,1)(2)(1)(2,1)
|ψ(Ω*ω+ψ(Ω))
|\(\psi(\Omega×\omega+\psi(\Omega))\)
|-
|-
|(0)(1,1)(2)(1)(2,1)(2,1)
|(0)(1,1)(2)(1)(2,1)(3)
|ψ(Ω*ω+ψ(Ω*2))
|\(\psi(\Omega×\omega+\psi(\Omega×\omega))\)
|-
|-
|(0)(1,1)(2)(1)(2,1)(3)
|(0)(1,1)(2)(1)(2,1)(3)(1)(2,1)(3)
|ψ(Ω*ω+ψ(Ω*ω))
|\(\psi(\Omega×\omega+\psi(\Omega×\omega)×2)\)
|-
|-
|(0)(1,1)(2)(1)(2,1)(3)(2)
|(0)(1,1)(2)(1)(2,1)(3)(2)
|ψ(Ω*ω+ψ(Ω*ω+1))
|\(\psi(\Omega×\omega+\psi(\Omega×\omega+1))\)
|-
|-
|(0)(1,1)(2)(1)(2,1)(3)(2)(3,1)
|(0)(1,1)(2)(1)(2,1)(3)(2)(3,1)
|ψ(Ω*ω+ψ(Ω*ω+ψ(Ω)))
|\(\psi(\Omega×\omega+\psi(\Omega×\omega+\psi(\Omega)))\)
|-
|(0)(1,1)(2)(1)(2,1)(3)(2)(3,1)(4)
|\(\psi(\Omega×\omega+\psi(\Omega×\omega+\psi(\Omega×\omega)))\)
|-
|-
|(0)(1,1)(2)(1,1)
|(0)(1,1)(2)(1,1)
|ψ(Ω*(ω+1))
|\(\psi(\Omega×(\omega+1))\)
|-
|-
|(0)(1,1)(2)(1,1)(1)
|(0)(1,1)(2)(1,1)(2)
|ψ(Ω*(ω+1)+1)
|\(\psi(\Omega×\omega×2)\)
|-
|-
|(0)(1,1)(2)(1,1)(1)(2,1)
|(0)(1,1)(2)(2)
|ψ(Ω*(ω+1)+ψ(Ω))
|\(\psi(\Omega×\psi(2))\)
|-
|-
|(0)(1,1)(2)(1,1)(1)(2,1)(3)(2,1)
|(0)(1,1)(2)(3)
|ψ(Ω*(ω+1)+ψ(Ω*(ω+1)))
|\(\psi(\Omega×\psi(\omega))\)
|-
|-
|(0)(1,1)(2)(1,1)(1,1)
|(0)(1,1)(2)(3,1)
|ψ(Ω*(ω+2))
|\(\psi(\Omega×\psi(\Omega))\)
|-
|-
|(0)(1,1)(2)(1,1)(1,1)(1,1)
|(0)(1,1)(2)(3,1)(1,1)(2)(3,1)
|ψ(Ω*(ω+3))
|\(\psi(\Omega×\psi(\Omega)×2)\)
|-
|-
|(0)(1,1)(2)(1,1)(2)
|(0)(1,1)(2)(3,1)(2)
|ψ(Ω*(ω2))
|\(\psi(\Omega×\psi(\Omega+1))\)
|-
|-
|(0)(1,1)(2)(1,1)(2)(1,1)
|(0)(1,1)(2)(3,1)(2)(3)
|ψ(Ω*(ω2+1))
|\(\psi(\Omega×\psi(\Omega+\omega))\)
|-
|-
|(0)(1,1)(2)(1,1)(2)(1,1)(2)
|(0)(1,1)(2)(3,1)(2)(3,1)
|ψ(Ω*(ω3))
|\(\psi(\Omega×\psi(\Omega+\psi(\Omega)))\)
|-
|-
|(0)(1,1)(2)(2)
|(0)(1,1)(2)(3,1)(2)(3,1)(2)
|ψ(Ω*ω^2)
|\(\psi(\Omega×\psi(\Omega+\psi(\Omega)+1))\)
|-
|-
|(0)(1,1)(2)(2)(1,1)
|(0)(1,1)(2)(3,1)(2)(3,1)(2)(3,1)
|ψ(Ω*(ω^2+1))
|\(\psi(\Omega×\psi(\Omega+\psi(\Omega)×2))\)
|-
|-
|(0)(1,1)(2)(2)(1,1)(2)(2)
|(0)(1,1)(2)(3,1)(3)
|ψ(Ω*ω^2*2)
|\(\psi(\Omega×\psi(\Omega+\psi(\Omega+1)))\)
|-
|-
|(0)(1,1)(2)(2)(2)
|(0)(1,1)(2)(3,1)(3)(4,1)
|ψ(Ω*ω^3)
|\(\psi(\Omega×\psi(\Omega+\psi(\Omega+\psi(\Omega))))\)
|-
|(0)(1,1)(2)(3)
|ψ(Ω*ω^ω)
|-
|(0)(1,1)(2)(3)(4)
|ψ(Ω*ω^ω^ω)
|-
|(0)(1,1)(2)(3,1)
|ψ(Ω*ψ(Ω))
|-
|-
|(0)(1,1)(2)(3,1)(3,1)
|(0)(1,1)(2)(3,1)(3,1)
|ψ(Ω*ψ(Ω*2))
|\(\psi(\Omega×\psi(\Omega×2))\)
|-
|-
|(0)(1,1)(2)(3,1)(4)
|(0)(1,1)(2)(3,1)(4)
|ψ(Ω*ψ(Ω*ω))
|\(\psi(\Omega×\psi(\Omega×\omega))\)
|-
|(0)(1,1)(2)(3,1)(4)(5)
|\(\psi(\Omega×\psi(\Omega×\psi(\omega)))\)
|-
|-
|(0)(1,1)(2)(3,1)(4)(5,1)
|(0)(1,1)(2)(3,1)(4)(5,1)
|ψ(Ω*ψ(Ω*ψ(Ω)))
|\(\psi(\Omega×\psi(\Omega×\psi(\Omega)))\)
|-
|-
|(0)(1,1)(2,1)
|(0)(1,1)(2,1)
|ψ(Ω^2) = Cantor's Ordinal
|\(\psi(\Omega^2)\)
|-
|-
|(0)(1,1)(2,1)(1)
|(0)(1,1)(2,1)(1)
|ψ(Ω^2+1)
|\(\psi(\Omega^2+1)\)
|-
|-
|(0)(1,1)(2,1)(1)(2,1)
|(0)(1,1)(2,1)(1)(2,1)
|ψ(Ω^2+ψ(Ω))
|\(\psi(\Omega^2+\psi(\Omega))\)
|-
|(0)(1,1)(2,1)(1)(2,1)(3)
|\(\psi(\Omega^2+\psi(\Omega×\omega))\)
|-
|-
|(0)(1,1)(2,1)(1)(2,1)(3,1)
|(0)(1,1)(2,1)(1)(2,1)(3,1)
|ψ(Ω^2+ψ(Ω^2))
|\(\psi(\Omega^2+\psi(\Omega^2))\)
|-
|(0)(1,1)(2,1)(1)(2,1)(3,1)(2)
|\(\psi(\Omega^2+\psi(\Omega^2+1))\)
|-
|(0)(1,1)(2,1)(1)(2,1)(3,1)(2)(3,1)
|\(\psi(\Omega^2+\psi(\Omega^2+\psi(\Omega)))\)
|-
|(0)(1,1)(2,1)(1)(2,1)(3,1)(2)(3,1)(4,1)
|\(\psi(\Omega^2+\psi(\Omega^2+\psi(\Omega^2)))\)
|-
|-
|(0)(1,1)(2,1)(1,1)
|(0)(1,1)(2,1)(1,1)
|ψ(Ω^2+Ω)
|\(\psi(\Omega^2+\Omega)\)
|-
|(0)(1,1)(2,1)(1,1)(1)(2,1)(3,1)
|\(\psi(\Omega^2+\Omega+\psi(\Omega^2))\)
|-
|(0)(1,1)(2,1)(1,1)(1)(2,1)(3,1)(2,1)
|\(\psi(\Omega^2+\Omega+\psi(\Omega^2+\Omega))\)
|-
|(0)(1,1)(2,1)(1,1)(1)(2,1)(3,1)(2,1)(2)
|\(\psi(\Omega^2+\Omega+\psi(\Omega^2+\Omega+1))\)
|-
|(0)(1,1)(2,1)(1,1)(1)(2,1)(3,1)(2,1)(2)(3,1)
|\(\psi(\Omega^2+\Omega+\psi(\Omega^2+\Omega+\psi(\Omega)))\)
|-
|-
|(0)(1,1)(2,1)(1,1)(1,1)
|(0)(1,1)(2,1)(1,1)(1,1)
|ψ(Ω^2+Ω*2)
|\(\psi(\Omega^2+\Omega×2)\)
|-
|-
|(0)(1,1)(2,1)(1,1)(2)
|(0)(1,1)(2,1)(1,1)(2)
|ψ(Ω^2+Ω*ω)
|\(\psi(\Omega^2+\Omega×\omega)\)
|-
|(0)(1,1)(2,1)(1,1)(2)(1,1)(2)
|\(\psi(\Omega^2+\Omega×\omega×2)\)
|-
|(0)(1,1)(2,1)(1,1)(2)(2)
|\(\psi(\Omega^2+\Omega×\psi(2))\)
|-
|(0)(1,1)(2,1)(1,1)(2)(3)
|\(\psi(\Omega^2+\Omega×\psi(\omega))\)
|-
|-
|(0)(1,1)(2,1)(1,1)(2)(3,1)
|(0)(1,1)(2,1)(1,1)(2)(3,1)
|ψ(Ω^2+Ω*ψ(Ω))
|\(\psi(\Omega^2+\Omega×\psi(\Omega))\)
|-
|(0)(1,1)(2,1)(1,1)(2)(3,1)(2)
|\(\psi(\Omega^2+\Omega×\psi(\Omega+1))\)
|-
|(0)(1,1)(2,1)(1,1)(2)(3,1)(2)(3,1)
|\(\psi(\Omega^2+\Omega×\psi(\Omega+\psi(\Omega)))\)
|-
|(0)(1,1)(2,1)(1,1)(2)(3,1)(3)
|\(\psi(\Omega^2+\Omega×\psi(\Omega+\psi(\Omega+1)))\)
|-
|(0)(1,1)(2,1)(1,1)(2)(3,1)(3)(4,1)
|\(\psi(\Omega^2+\Omega×\psi(\Omega+\psi(\Omega+\psi(\Omega))))\)
|-
|(0)(1,1)(2,1)(1,1)(2)(3,1)(3,1)
|\(\psi(\Omega^2+\Omega×\psi(\Omega×2))\)
|-
|(0)(1,1)(2,1)(1,1)(2)(3,1)(4)
|\(\psi(\Omega^2+\Omega×\psi(\Omega×\omega))\)
|-
|(0)(1,1)(2,1)(1,1)(2)(3,1)(4)(5,1)
|\(\psi(\Omega^2+\Omega×\psi(\Omega×\psi(\Omega)))\)
|-
|(0)(1,1)(2,1)(1,1)(2)(3,1)(4)(5,1)(6)
|\(\psi(\Omega^2+\Omega×\psi(\Omega×\psi(\Omega×\omega)))\)
|-
|-
|(0)(1,1)(2,1)(1,1)(2)(3,1)(4,1)
|(0)(1,1)(2,1)(1,1)(2)(3,1)(4,1)
|ψ(Ω^2+Ω*ψ(Ω^2))
|\(\psi(\Omega^2+\Omega×\psi(\Omega^2))\)
|-
|(0)(1,1)(2,1)(1,1)(2)(3,1)(4,1)(2)
|\(\psi(\Omega^2+\Omega×\psi(\Omega^2+1))\)
|-
|(0)(1,1)(2,1)(1,1)(2)(3,1)(4,1)(2)(3,1)(4,1)
|\(\psi(\Omega^2+\Omega×\psi(\Omega^2+\psi(\Omega^2)))\)
|-
|(0)(1,1)(2,1)(1,1)(2)(3,1)(4,1)(3)
|\(\psi(\Omega^2+\Omega×\psi(\Omega^2+\psi(\Omega^2+1)))\)
|-
|(0)(1,1)(2,1)(1,1)(2)(3,1)(4,1)(3,1)
|\(\psi(\Omega^2+\Omega×\psi(\Omega^2+\Omega))\)
|-
|(0)(1,1)(2,1)(1,1)(2)(3,1)(4,1)(3,1)(4)
|\(\psi(\Omega^2+\Omega×\psi(\Omega^2+\Omega×\omega))\)
|-
|(0)(1,1)(2,1)(1,1)(2)(3,1)(4,1)(3,1)(4)(5,1)
|\(\psi(\Omega^2+\Omega×\psi(\Omega^2+\Omega×\psi(\Omega)))\)
|-
|(0)(1,1)(2,1)(1,1)(2)(3,1)(4,1)(3,1)(4)(5,1)(6,1)
|\(\psi(\Omega^2+\Omega×\psi(\Omega^2+\Omega×\psi(\Omega^2)))\)
|-
|-
|(0)(1,1)(2,1)(1,1)(2,1)
|(0)(1,1)(2,1)(1,1)(2,1)
|ψ(Ω^2*2)
|\(\psi(\Omega^2×2)\)
|-
|(0)(1,1)(2,1)(1,1)(2,1)(1)(2,1)(3,1)(2,1)(3,1)
|\(\psi(\Omega^2×2+\psi(\Omega^2×2))\)
|-
|-
|(0)(1,1)(2,1)(1,1)(2,1)(1,1)
|(0)(1,1)(2,1)(1,1)(2,1)(1,1)
|ψ(Ω^2*2+Ω)
|\(\psi(\Omega^2+\Omega×2)\)
|-
|-
|(0)(1,1)(2,1)(1,1)(2,1)(1,1)(2)
|(0)(1,1)(2,1)(1,1)(2,1)(1,1)(2)
|ψ(Ω^2*2+Ω*ω)
|\(\psi(\Omega^2+\Omega×\omega)\)
|-
|(0)(1,1)(2,1)(1,1)(2,1)(1,1)(2)(3,1)(4,1)
|\(\psi(\Omega^2×2+\Omega×\psi(\Omega^2))\)
|-
|(0)(1,1)(2,1)(1,1)(2,1)(1,1)(2)(3,1)(4,1)(3,1)(4,1)
|\(\psi(\Omega^2×2+\Omega×\psi(\Omega^2×2))\)
|-
|-
|(0)(1,1)(2,1)(1,1)(2,1)(1,1)(2,1)
|(0)(1,1)(2,1)(1,1)(2,1)(1,1)(2,1)
|ψ(Ω^2*3)
|\(\psi(\Omega^2×3)\)
|-
|-
|(0)(1,1)(2,1)(2)
|(0)(1,1)(2,1)(2)
|ψ(Ω^2*ω)
|\(\psi(\Omega^2×\omega)\)
|-
|(0)(1,1)(2,1)(2)(1)(2,1)(3,1)(3)
|\(\psi(\Omega^2×\omega+\psi(\Omega^2×\omega))\)
|-
|-
|(0)(1,1)(2,1)(2)(1,1)
|(0)(1,1)(2,1)(2)(1,1)
|ψ(Ω^2*ω+Ω)
|\(\psi(\Omega^2×\omega+\Omega)\)
|-
|-
|(0)(1,1)(2,1)(2)(1,1)(2,1)
|(0)(1,1)(2,1)(2)(1,1)(2,1)
|ψ(Ω^2*(ω+1))
|\(\psi(\Omega^2×(\omega+1))\)
|-
|(0)(1,1)(2,1)(2)(1,1)(2,1)(2)
|\(\psi(\Omega^2×\omega×2)\)
|-
|-
|(0)(1,1)(2,1)(2)(2)
|(0)(1,1)(2,1)(2)(2)
|ψ(Ω^2*ω2)
|\(\psi(\Omega^2×\psi(2))\)
|-
|-
|(0)(1,1)(2,1)(2)(3)
|(0)(1,1)(2,1)(2)(3)
|ψ(Ω^2*ω^2)
|\(\psi(\Omega^2×\psi(\omega))\)
|-
|(0)(1,1)(2,1)(2)(3)(4)
|ψ(Ω^2*ω^ω)
|-
|-
|(0)(1,1)(2,1)(2)(3,1)
|(0)(1,1)(2,1)(2)(3,1)
|ψ(Ω^2*ψ(Ω))
|\(\psi(\Omega^2×\psi(\Omega))\)
|-
|-
|(0)(1,1)(2,1)(2)(3,1)(3,1)
|(0)(1,1)(2,1)(2)(3,1)(3,1)
|ψ(Ω^2*ψ(Ω*2))
|\(\psi(\Omega^2×\psi(\Omega×2))\)
|-
|(0)(1,1)(2,1)(2)(3,1)(4)
|\(\psi(\Omega^2×\psi(\Omega×\omega))\)
|-
|(0)(1,1)(2,1)(2)(3,1)(4)(5,1)
|\(\psi(\Omega^2×\psi(\Omega×\psi(\Omega)))\)
|-
|-
|(0)(1,1)(2,1)(2)(3,1)(4,1)
|(0)(1,1)(2,1)(2)(3,1)(4,1)
|ψ(Ω^2*ψ(Ω^2))
|\(\psi(\Omega^2×\psi(\Omega^2))\)
|-
|(0)(1,1)(2,1)(2)(3,1)(4,1)(1,1)(2,1)(2)(3,1)(4,1)
|\(\psi(\Omega^2×\psi(\Omega^2)×2)\)
|-
|-
|(0)(1,1)(2,1)(2)(3,1)(4,1)(4)
|(0)(1,1)(2,1)(2)(3,1)(4,1)(2)
|ψ(Ω^2*ψ(Ω^2*ω))
|\(\psi(\Omega^2×\psi(\Omega^2+1))\)
|-
|(0)(1,1)(2,1)(2)(3,1)(4,1)(2)(3,1)(4,1)
|\(\psi(\Omega^2×\psi(\Omega^2+\psi(\Omega^2)))\)
|-
|-
|(0)(1,1)(2,1)(2,1)
|(0)(1,1)(2,1)(2)(3,1)(4,1)(3)
|ψ(Ω^3) = Large Cantor's Ordinal
|\(\psi(\Omega^2×\psi(\Omega^2+\psi(\Omega^2+1)))\)
|-
|-
|(0)(1,1)(2,1)(2,1)(1)
|(0)(1,1)(2,1)(2)(3,1)(4,1)(3,1)
|ψ(Ω^3+1)
|\(\psi(\Omega^2×\psi(\Omega^2+\Omega))\)
|-
|-
|(0)(1,1)(2,1)(2,1)(1)(2,1)
|(0)(1,1)(2,1)(2)(3,1)(4,1)(3,1)(4)
|ψ(Ω^3+ψ(Ω))
|\(\psi(\Omega^2×\psi(\Omega^2+\Omega×\omega))\)
|-
|-
|(0)(1,1)(2,1)(2,1)(1)(2,1)(3,1)(3,1)
|(0)(1,1)(2,1)(2)(3,1)(4,1)(3,1)(4)(5,1)(6,1)(5,1)
|ψ(Ω^3+ψ(Ω^3))
|\(\psi(\Omega^2×\psi(\Omega^2+\Omega×\psi(\Omega^2+\Omega)))\)
|-
|-
|(0)(1,1)(2,1)(2,1)(1,1)
|(0)(1,1)(2,1)(2)(3,1)(4,1)(3,1)(4,1)
|ψ(Ω^3+Ω)
|\(\psi(\Omega^2×\psi(\Omega^2×2))\)
|-
|-
|(0)(1,1)(2,1)(2,1)(1,1)(1,1)
|(0)(1,1)(2,1)(2)(3,1)(4,1)(4)
|ψ(Ω^3+Ω*2)
|\(\psi(\Omega^2×\psi(\Omega^2×\omega))\)
|-
|-
|(0)(1,1)(2,1)(2,1)(1,1)(2)
|(0)(1,1)(2,1)(2,1)
|ψ(Ω^3+Ω*ω)
|\(\psi(\Omega^3)=η0\)
|-
|-
|(0)(1,1)(2,1)(2,1)(1,1)(2)(3,1)
|(0)(1,1)(2,1)(2,1)(1,1)
|ψ(Ω^3+Ω*ψ(Ω))
|\(\psi(\Omega^3+\Omega)\)
|-
|-
|(0)(1,1)(2,1)(2,1)(1,1)(2)(3,1)(4,1)(4,1)
|(0)(1,1)(2,1)(2,1)(1,1)(2)(3,1)(4,1)(4,1)
|ψ(Ω^3+Ω*ψ(Ω^3))
|\(\psi(\Omega^3+\Omega×\psi(\Omega^3))\)
|-
|-
|(0)(1,1)(2,1)(2,1)(1,1)(2,1)
|(0)(1,1)(2,1)(2,1)(1,1)(2,1)
|ψ(Ω^3+Ω^2)
|\(\psi(\Omega^3+\Omega^2)\)
|-
|-
|(0)(1,1)(2,1)(2,1)(1,1)(2,1)(2,1)
|(0)(1,1)(2,1)(2,1)(1,1)(2,1)(2)
|ψ(Ω^3*2)
|\(\psi(\Omega^3+\Omega^2×\omega)\)
|-
|-
|(0)(1,1)(2,1)(2,1)(2)
|(0)(1,1)(2,1)(2,1)(1,1)(2,1)(2)(3,1)(4,1)(4,1)
|ψ(Ω^3*ω)
|\(\psi(\Omega^3+\Omega^2×\psi(\Omega^3))\)
|-
|-
|(0)(1,1)(2,1)(2,1)(2)(1,1)(2,1)(2,1)
|(0)(1,1)(2,1)(2,1)(1,1)(2,1)(2)(3,1)(4,1)(4,1)(3,1)(4,1)(4)
|ψ(Ω^3*(ω+1))
|\(\psi(\Omega^3+\Omega^2×\psi(\Omega^3+\Omega^2×\omega))\)
|-
|-
|(0)(1,1)(2,1)(2,1)(2)(2)
|(0)(1,1)(2,1)(2,1)(1,1)(2,1)(2,1)
|ψ(Ω^3*ω2)
|\(\psi(\Omega^3×2)\)
|-
|-
|(0)(1,1)(2,1)(2,1)(2)(3)
|(0)(1,1)(2,1)(2,1)(2)
|ψ(Ω^3*ω^2)
|\(\psi(\Omega^3×\omega)\)
|-
|-
|(0)(1,1)(2,1)(2,1)(2)(3,1)
|(0)(1,1)(2,1)(2,1)(2)(3,1)
|ψ(Ω^3*ψ(Ω))
|\(\psi(\Omega^3×\psi(\Omega))\)
|-
|-
|(0)(1,1)(2,1)(2,1)(2)(3,1)(4,1)(4,1)
|(0)(1,1)(2,1)(2,1)(2)(3,1)(4,1)(4,1)
|ψ(Ω^3+ψ(Ω^3))
|\(\psi(\Omega^3×\psi(\Omega^3))\)
|-
|-
|(0)(1,1)(2,1)(2,1)(2,1)
|(0)(1,1)(2,1)(2,1)(2,1)
|ψ(Ω^4)
|\(\psi(\Omega^4)\)
|-
|(0)(1,1)(2,1)(2,1)(2,1)(1,1)
|ψ(Ω^4+Ω)
|-
|(0)(1,1)(2,1)(2,1)(2,1)(2)
|ψ(Ω^4*ω)
|-
|(0)(1,1)(2,1)(2,1)(2,1)(2,1)
|ψ(Ω^5)
|-
|-
|(0)(1,1)(2,1)(3)
|(0)(1,1)(2,1)(3)
|ψ(Ω^ω) = Hyper Cantor's Ordinal
|\(\psi(\Omega^\omega)=φ(\omega,0)\)
|-
|-
|(0)(1,1)(2,1)(3)(1)
|(0)(1,1)(2,1)(3)(1)
|ψ(Ω^ω+1)
|\(\psi(\Omega^\omega+1)\)
|-
|(0)(1,1)(2,1)(3)(1)(2)
|ψ(Ω^ω+ω)
|-
|(0)(1,1)(2,1)(3)(1)(2,1)
|ψ(Ω^ω+SCO)
|-
|(0)(1,1)(2,1)(3)(1)(2,1)(3,1)
|ψ(Ω^ω+CO)
|-
|-
|(0)(1,1)(2,1)(3)(1)(2,1)(3,1)(4)
|(0)(1,1)(2,1)(3)(1)(2,1)(3,1)(4)
|ψ(Ω^ω+HCO)
|\(\psi(\Omega^\omega+\psi(\Omega^\omega))\)
|-
|-
|(0)(1,1)(2,1)(3)(1,1)
|(0)(1,1)(2,1)(3)(1,1)
|ψ(Ω^ω+Ω)
|\(\psi(\Omega^\omega+\Omega)\)
|-
|(0)(1,1)(2,1)(3)(1,1)(1,1)
|ψ(Ω^ω+Ω*2)
|-
|(0)(1,1)(2,1)(3)(1,1)(2)
|ψ(Ω^ω+Ω*ω)
|-
|(0)(1,1)(2,1)(3)(1,1)(2)(3,1)
|ψ(Ω^ω+Ω*SCO)
|-
|-
|(0)(1,1)(2,1)(3)(1,1)(2,1)
|(0)(1,1)(2,1)(3)(1,1)(2,1)
|ψ(Ω^ω+Ω^2)
|\(\psi(\Omega^\omega+\Omega^2)\)
|-
|-
|(0)(1,1)(2,1)(3)(1,1)(2,1)(3)
|(0)(1,1)(2,1)(3)(1,1)(2,1)(3)
|ψ(Ω^ω*2)
|\(\psi(\Omega^\omega×2)\)
|-
|-
|(0)(1,1)(2,1)(3)(2)
|(0)(1,1)(2,1)(3)(2)
|ψ(Ω^ω*ω)
|\(\psi(\Omega^\omega×\omega)\)
|-
|-
|(0)(1,1)(2,1)(3)(2)(3,1)
|(0)(1,1)(2,1)(3)(2)(3,1)
|ψ(Ω^ω*SCO)
|\(\psi(\Omega^\omega×\psi(\Omega))\)
|-
|-
|(0)(1,1)(2,1)(3)(2,1)
|(0)(1,1)(2,1)(3)(2)(3,1)(4,1)(5)
|ψ(Ω^(ω+1))
|\(\psi(\Omega^\omega×\psi(\Omega^\omega))\)
|-
|-
|(0)(1,1)(2,1)(3)(2,1)(2)
|(0)(1,1)(2,1)(3)(2)(3,1)(4,1)(5)(4)
|ψ(Ω^(ω+1)*ω)
|\(\psi(\Omega^\omega×\psi(\Omega^\omega×\omega))\)
|-
|-
|(0)(1,1)(2,1)(3)(2,1)(2,1)
|(0)(1,1)(2,1)(3)(2,1)
|ψ(Ω^(ω+2))
|\(\psi(\Omega^{\omega+1})\)
|-
|-
|(0)(1,1)(2,1)(3)(2,1)(3)
|(0)(1,1)(2,1)(3)(2,1)(3)
|ψ(Ω^(ω2))
|\(\psi(\Omega^{\omega×2})\)
|-
|(0)(1,1)(2,1)(3)(2,1)(3)(2,1)
|ψ(Ω^(ω2+1))
|-
|-
|(0)(1,1)(2,1)(3)(3)
|(0)(1,1)(2,1)(3)(3)
|ψ(Ω^(ω3))
|\(\psi(\Omega^{\psi(2)})\)
|-
|-
|(0)(1,1)(2,1)(3)(4)
|(0)(1,1)(2,1)(3)(4)
|ψ(Ω^ω^2)
|\(\psi(\Omega^{\psi(\omega)})\)
|-
|-
|(0)(1,1)(2,1)(3)(4,1)
|(0)(1,1)(2,1)(3)(4,1)
|ψ(Ω^SCO)
|\(\psi(\Omega^{\psi(\Omega)})\)
|-
|(0)(1,1)(2,1)(3)(4,1)(3)(4,1)
|\(\psi(\Omega^{\psi(\Omega+\psi(\Omega))})\)
|-
|(0)(1,1)(2,1)(3)(4,1)(4,1)
|\(\psi(\Omega^{\psi(\Omega×2)})\)
|-
|-
|(0)(1,1)(2,1)(3)(4,1)(5,1)
|(0)(1,1)(2,1)(3)(4,1)(5,1)
|ψ(Ω^CO)
|\(\psi(\Omega^{\psi(\Omega^2)})\)
|-
|-
|(0)(1,1)(2,1)(3)(4,1)(5,1)(6)
|(0)(1,1)(2,1)(3)(4,1)(5,1)(6)
|ψ(Ω^HCO)
|\(\psi(\Omega^{\psi(\Omega^\omega)})\)
|-
|(0)(1,1)(2,1)(3)(4,1)(5,1)(6)(7,1)(8,1)
|ψ(Ω^ψ(Ω^HCO))
|-
|-
|(0)(1,1)(2,1)(3,1)
|(0)(1,1)(2,1)(3,1)
|ψ(Ω^Ω) = Feferman-Schütte Ordinal
|\(\psi(\Omega^\Omega)=\Gamma_0\)
|-
|-
|(0)(1,1)(2,1)(3,1)(1)
|(0)(1,1)(2,1)(3,1)(1)
|ψ(Ω^Ω+1)
|\(\psi(\Omega^\Omega+1)\)
|-
|(0)(1,1)(2,1)(3,1)(1)(2)
|ψ(Ω^Ω+ω)
|-
|(0)(1,1)(2,1)(3,1)(1)(2,1)
|ψ(Ω^Ω+SCO)
|-
|(0)(1,1)(2,1)(3,1)(1)(2,1)(3,1)
|ψ(Ω^Ω+CO)
|-
|(0)(1,1)(2,1)(3,1)(1)(2,1)(3,1)(4)
|ψ(Ω^Ω+HCO)
|-
|-
|(0)(1,1)(2,1)(3,1)(1)(2,1)(3,1)(4,1)
|(0)(1,1)(2,1)(3,1)(1)(2,1)(3,1)(4,1)
|ψ(Ω^Ω+FSO)
|\(\psi(\Omega^\Omega+\psi(\Omega^\Omega))\)
|-
|-
|(0)(1,1)(2,1)(3,1)(1)(2,1)(3,1)(4,1)(2)
|(0)(1,1)(2,1)(3,1)(1)(2,1)(3,1)(4,1)(2)
|ψ(Ω^Ω+ψ(Ω^Ω+1))
|\(\psi(\Omega^\Omega+\psi(\Omega^\Omega+1))\)
|-
|(0)(1,1)(2,1)(3,1)(1)(2,1)(3,1)(4,1)(2)(3,1)
|ψ(Ω^Ω+ψ(Ω^Ω+SCO))
|-
|(0)(1,1)(2,1)(3,1)(1)(2,1)(3,1)(4,1)(2)(3,1)(4,1)
|ψ(Ω^Ω+ψ(Ω^Ω+CO))
|-
|(0)(1,1)(2,1)(3,1)(1)(2,1)(3,1)(4,1)(2)(3,1)(4,1)(5)
|ψ(Ω^Ω+ψ(Ω^Ω+HCO))
|-
|(0)(1,1)(2,1)(3,1)(1)(2,1)(3,1)(4,1)(2)(3,1)(4,1)(5,1)
|ψ(Ω^Ω+ψ(Ω^Ω+FSO))
|-
|-
|(0)(1,1)(2,1)(3,1)(1,1)
|(0)(1,1)(2,1)(3,1)(1,1)
|ψ(Ω^Ω+Ω)
|\(\psi(\Omega^\Omega+\Omega)\)
|-
|(0)(1,1)(2,1)(3,1)(1,1)(1)
|ψ(Ω^Ω+Ω+1)
|-
|(0)(1,1)(2,1)(3,1)(1,1)(1)(2,1)
|ψ(Ω^Ω+Ω+SCO)
|-
|(0)(1,1)(2,1)(3,1)(1,1)(1)(2,1)(3,1)(4,1)
|ψ(Ω^Ω+Ω+FSO)
|-
|(0)(1,1)(2,1)(3,1)(1,1)(1,1)
|ψ(Ω^Ω+Ω*2)
|-
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2)
|(0)(1,1)(2,1)(3,1)(1,1)(2)
|ψ(Ω^Ω+Ω*ω)
|\(\psi(\Omega^\Omega+\Omega×\omega)\)
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2)(3,1)
|ψ(Ω^Ω+Ω*SCO)
|-
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2)(3,1)(4,1)(5,1)
|(0)(1,1)(2,1)(3,1)(1,1)(2)(3,1)(4,1)(5,1)
|ψ(Ω^Ω+Ω*FSO)
|\(\psi(\Omega^\Omega+\Omega×\psi(\Omega^\Omega))\)
|-
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)
|ψ(Ω^Ω+Ω^2)
|\(\psi(\Omega^\Omega+\Omega^2)\)
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(1)(2,1)
|ψ(Ω^Ω+Ω^2+SCO)
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(1)(2,1)(3,1)(4,1)
|ψ(Ω^Ω+Ω^2+FSO)
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(1,1)
|ψ(Ω^Ω+Ω^2+Ω)
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(1,1)(1,1)
|ψ(Ω^Ω+Ω^2+Ω*2)
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(1,1)(2,1)
|ψ(Ω^Ω+Ω^2*2)
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(1,1)(2,1)(1,1)(2,1)
|ψ(Ω^Ω+Ω^2*3)
|-
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(2)
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(2)(3,1)(4,1)(5,1)(3,1)(4,1)
|ψ(Ω^Ω+Ω^2*ω)
|\(\psi(\Omega^\Omega+\Omega^2×\psi(\Omega^\Omega+\Omega^2))\)
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(2)(3,1)
|ψ(Ω^Ω+Ω^2*SCO)
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(2)(3,1)(4,1)(5,1)
|ψ(Ω^Ω+Ω^2*FSO)
|-
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(2,1)
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(2,1)
|ψ(Ω^Ω+Ω^3)
|\(\psi(\Omega^\Omega+\Omega^3)\)
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(2,1)(1,1)
|ψ(Ω^Ω+Ω^3+Ω)
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(2,1)(1,1)(2,1)(2,1)
|ψ(Ω^Ω+Ω^3*2)
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(2,1)(2)
|ψ(Ω^Ω+Ω^3*ω)
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(2,1)(2,1)
|ψ(Ω^Ω+Ω^4)
|-
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)
|ψ(Ω^Ω+Ω^ω)
|\(\psi(\Omega^\Omega+\Omega^\omega)\)
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(1,1)(2,1)(3)
|ψ(Ω^Ω+Ω^ω*2)
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(2)
|ψ(Ω^Ω+Ω^ω*ω)
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(2,1)
|ψ(Ω^Ω+Ω^(ω+1))
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(2,1)(3)
|ψ(Ω^Ω+Ω^(ω2))
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(3)
|ψ(Ω^Ω+Ω^ω^2)
|-
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(4,1)
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(4,1)
|ψ(Ω^Ω+Ω^SCO)
|\(\psi(\Omega^\Omega+\Omega^{\psi(\Omega)})\)
|-
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(4,1)(5,1)(6,1)
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(4,1)(5,1)(6,1)
|ψ(Ω^Ω+Ω^FSO)
|\(\psi(\Omega^\Omega+\Omega^{\psi(\Omega^\Omega)})\)
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(4,1)(5,1)(6,1)(2)
|ψ(Ω^Ω+Ω^FSO*ω)
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(4,1)(5,1)(6,1)(2,1)
|ψ(Ω^Ω+Ω^(FSO+1))
|-
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(4,1)(5,1)(6,1)(3)
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(4,1)(5,1)(6,1)(3)
|ψ(Ω^Ω+Ω^(FSO+ω))?
|\(\psi(\Omega^\Omega+\Omega^{\psi(\Omega^\Omega+1)})\)
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(4,1)(5,1)(6,1)(4)
|ψ(Ω^Ω+Ω^(FSO*ω))
|-
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(4,1)(5,1)(6,1)(4,1)
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(4,1)(5,1)(6,1)(4,1)
|ψ(Ω^Ω+Ω^ψ(Ω^Ω+Ω))
|\(\psi(\Omega^\Omega+\Omega^{\psi(\Omega^\Omega+\Omega)})\)
|-
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(4,1)(5,1)(6,1)(4,1)(5,1)(6)(7,1)(8,1)(9,1)
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(4,1)(5,1)(6,1)(4,1)(5,1)(6)
|ψ(Ω^Ω+Ω^ψ(Ω^Ω+Ω^ψ(Ω^Ω)))
|\(\psi(\Omega^\Omega+\Omega^{\psi(\Omega^\Omega+\Omega^\omega)})\)
|-
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(4,1)(5,1)(6,1)(4,1)(5,1)(6)(7,1)(8,1)(9,1)(5,1)
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(4,1)(5,1)(6,1)(4,1)(5,1)(6)(7,1)
|ψ(Ω^Ω+Ω^ψ(Ω^Ω+Ω^(ψ(Ω^Ω)+1)))?
|\(\psi(\Omega^\Omega+\Omega^{\psi(\Omega^\Omega+\Omega^{\psi(\Omega)})})\)
|-
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3,1)
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3,1)
|ψ(Ω^Ω*2)
|\(\psi(\Omega^\Omega×2)\)
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3,1)(1,1)
|ψ(Ω^Ω*2+Ω)
|-
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3,1)(1,1)(2,1)
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3,1)(1,1)(2,1)(3)
|ψ(Ω^Ω*2+Ω^2)
|\(\psi(\Omega^\Omega×2+\Omega^\omega)\)
|-
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3,1)(1,1)(2,1)(2,1)
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(4,1)(5,1)(6,1)(4,1)(5,1)(6,1)
|ψ(Ω^Ω*2+Ω^3)
|\(\psi(\Omega^\Omega×2+\Omega^{\psi(\Omega^\Omega×2)})\)
|-
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3,1)(1,1)(2,1)(3,1)
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3,1)(1,1)(2,1)(3,1)
|ψ(Ω^Ω*3)
|\(\psi(\Omega^\Omega×3)\)
|-
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3,1)(1,1)(2,1)(3,1)(1,1)(2,1)(3,1)
|ψ(Ω^Ω*4)
|-
|-
|(0)(1,1)(2,1)(3,1)(2)
|(0)(1,1)(2,1)(3,1)(2)
|ψ(Ω^Ω*ω)
|\(\psi(\Omega^\Omega×\omega)\)
|-
|-
|(0)(1,1)(2,1)(3,1)(2)(3,1)
|(0)(1,1)(2,1)(3,1)(2)(3,1)(4,1)(5,1)
|ψ(Ω^Ω*SCO)
|\(\psi(\Omega^\Omega×\psi(\Omega^\Omega))\)
|-
|-
|(0)(1,1)(2,1)(3,1)(2)(3,1)(4,1)
|(0)(1,1)(2,1)(3,1)(2,1)
|ψ(Ω^Ω*CO)
|\(\psi(\Omega^{\Omega+1})\)
|-
|-
|(0)(1,1)(2,1)(3,1)(2)(3,1)(4,1)(5,1)
|(0)(1,1)(2,1)(3,1)(2,1)(1,1)(2,1)(3,1)
|ψ(Ω^Ω*FSO)
|\(\psi(\Omega^{\Omega+1}+\Omega^\Omega)\)
|-
|-
|(0)(1,1)(2,1)(3,1)(2)(3,1)(4,1)(5,1)(4)(5,1)(6,1)(7,1)
|(0)(1,1)(2,1)(3,1)(2,1)(1,1)(2,1)(3,1)(2)
|ψ(Ω^Ω*ψ(Ω^Ω*FSO))
|\(\psi(\Omega^{\Omega+1}+\Omega^\Omega×\omega)\)
|-
|-
|(0)(1,1)(2,1)(3,1)(2,1)
|(0)(1,1)(2,1)(3,1)(2,1)(1,1)(2,1)(3,1)(2)(3,1)(4,1)(5,1)
|ψ(Ω^(Ω+1))
|\(\psi(\Omega^{\Omega+1}+\Omega^\Omega×\psi(\Omega^\Omega))\)
|-
|-
|(0)(1,1)(2,1)(3,1)(2,1)(1,1)
|(0)(1,1)(2,1)(3,1)(2,1)(1,1)(2,1)(3,1)(2)(3,1)(4,1)(5,1)(4,1)
|ψ(Ω^(Ω+1)+Ω)
|\(\psi(\Omega^{\Omega+1}+\Omega^\Omega×\psi(\Omega^{\Omega+1}))\)
|-
|(0)(1,1)(2,1)(3,1)(2,1)(1,1)(2,1)(3,1)
|ψ(Ω^(Ω+1)+Ω^Ω)
|-
|-
|(0)(1,1)(2,1)(3,1)(2,1)(1,1)(2,1)(3,1)(2,1)
|(0)(1,1)(2,1)(3,1)(2,1)(1,1)(2,1)(3,1)(2,1)
|ψ(Ω^(Ω+1)*2)
|\(\psi(\Omega^{\Omega+1}×2)\)
|-
|-
|(0)(1,1)(2,1)(3,1)(2,1)(2)
|(0)(1,1)(2,1)(3,1)(2,1)(2)
|ψ(Ω^(Ω+1)*ω)
|\(\psi(\Omega^{\Omega+1}×\omega)\)
|-
|-
|(0)(1,1)(2,1)(3,1)(2,1)(2)(3,1)
|(0)(1,1)(2,1)(3,1)(2,1)(2)(3)
|ψ(Ω^(Ω+1)*SCO)
|\(\psi(\Omega^{\Omega+1}×\psi(\omega))\)
|-
|-
|(0)(1,1)(2,1)(3,1)(2,1)(2)(3,1)(4,1)(5,1)
|(0)(1,1)(2,1)(3,1)(2,1)(2)(3,1)(4,1)(5,1)(4,1)
|ψ(Ω^(Ω+1)*FSO)
|\(\psi(\Omega^{\Omega+1}×\psi(\Omega^{\Omega+1}))\)
|-
|-
|(0)(1,1)(2,1)(3,1)(2,1)(2,1)
|(0)(1,1)(2,1)(3,1)(2,1)(2,1)
|ψ(Ω^(Ω+2))
|\(\psi(\Omega^{\Omega+2})\)
|-
|-
|(0)(1,1)(2,1)(3,1)(2,1)(3)
|(0)(1,1)(2,1)(3,1)(2,1)(3)
|ψ(Ω^(Ω+ω))
|\(\psi(\Omega^{\Omega+\omega})\)
|-
|-
|(0)(1,1)(2,1)(3,1)(2,1)(3)(4,1)
|(0)(1,1)(2,1)(3,1)(2,1)(3)(4,1)(5,1)(6,1)(5,1)(6)
|ψ(Ω^(Ω+SCO))
|\(\psi(\Omega^{\Omega+\psi(\Omega^{\Omega+\omega})})\)
|-
|-
|(0)(1,1)(2,1)(3,1)(2,1)(3,1)
|(0)(1,1)(2,1)(3,1)(2,1)(3,1)
|ψ(Ω^(Ω*2))
|\(\psi(\Omega^{\Omega×2})\)
|-
|(0)(1,1)(2,1)(3,1)(2,1)(3,1)(2,1)(3,1)
|ψ(Ω^(Ω*3))
|-
|-
|(0)(1,1)(2,1)(3,1)(3)
|(0)(1,1)(2,1)(3,1)(3)
|ψ(Ω^(Ω*ω))
|\(\psi(\Omega^{\Omega×\omega})\)
|-
|-
|(0)(1,1)(2,1)(3,1)(3)(4,1)
|(0)(1,1)(2,1)(3,1)(3)(4,1)(5,1)(6,1)(6)
|ψ(Ω^(Ω*SCO))
|\(\psi(\Omega^{\Omega×\psi(\Omega^{\Omega×\omega})})\)
|-
|-
|(0)(1,1)(2,1)(3,1)(3,1)
|(0)(1,1)(2,1)(3,1)(3,1)
|ψ(Ω^Ω^2) = Ackerman's Ordinal
|\(\psi(\Omega^{\Omega^2})\)
|-
|-
|(0)(1,1)(2,1)(3,1)(3,1)(1,1)
|(0)(1,1)(2,1)(3,1)(3,1)(1,1)(2,1)(3,1)
|ψ(Ω^Ω^2+Ω)
|\(\psi(\Omega^{\Omega^2}+\Omega^\Omega)\)
|-
|-
|(0)(1,1)(2,1)(3,1)(3,1)(1,1)(2,1)(3)(4,1)(5,1)(6,1)(6,1)
|(0)(1,1)(2,1)(3,1)(3,1)(1,1)(2,1)(3,1)(3)
|ψ(Ω^Ω^2+Ω^ACO)
|\(\psi(\Omega^{\Omega^2}+\Omega^{\Omega×\omega})\)
|-
|-
|(0)(1,1)(2,1)(3,1)(3,1)(1,1)(2,1)(3,1)
|(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3,1)(3)(4,1)(5,1)(6,1)(6,1)
|ψ(Ω^Ω^2+Ω^Ω)
|\(\psi(\Omega^{\Omega^2}+\Omega^{\Omega×\psi(\Omega^{\Omega^2})})\)
|-
|-
|(0)(1,1)(2,1)(3,1)(3,1)(1,1)(2,1)(3,1)(3)(4,1)(5,1)(6,1)(6,1)
|(0)(1,1)(2,1)(3,1)(3,1)(1,1)(2,1)(3,1)(3,1)
|ψ(Ω^Ω^2+Ω^(Ω*ACO))
|\(\psi(\Omega^{\Omega^2}×2)\)
|-
|-
|(0)(1,1)(2,1)(3,1)(3,1)(1,1)(2,1)(3,1)(3,1)
|(0)(1,1)(2,1)(3,1)(3,1)(2)
|ψ(Ω^Ω^2*2)
|\(\psi(\Omega^{\Omega^2}×\omega)\)
|-
|-
|(0)(1,1)(2,1)(3,1)(3,1)(2)(3,1)(4,1)(5,1)(5,1)
|(0)(1,1)(2,1)(3,1)(3,1)(2)(3,1)(4,1)(5,1)(5,1)(4)
|ψ(Ω^Ω^2*ACO)
|\(\psi(\Omega^{\Omega^2}×\psi(\Omega^{\Omega^2}×\omega))\)
|-
|-
|(0)(1,1)(2,1)(3,1)(3,1)(2,1)
|(0)(1,1)(2,1)(3,1)(3,1)(2,1)
|ψ(Ω^(Ω^2+1))
|\(\psi(\Omega^{\Omega^2+1})\)
|-
|(0)(1,1)(2,1)(3,1)(3,1)(2,1)(3)
|\(\psi(\Omega^{\Omega^2+\omega})\)
|-
|(0)(1,1)(2,1)(3,1)(3,1)(2,1)(3)(4,1)(5,1)(6,1)(6,1)
|\(\psi(\Omega^{\Omega^2+\psi(\Omega^{\Omega^2})})\)
|-
|-
|(0)(1,1)(2,1)(3,1)(3,1)(2,1)(3,1)
|(0)(1,1)(2,1)(3,1)(3,1)(2,1)(3,1)
|ψ(Ω^(Ω^2+Ω))
|\(\psi(\Omega^{\Omega^2+\Omega})\)
|-
|(0)(1,1)(2,1)(3,1)(3,1)(2,1)(3,1)(3)
|\(\psi(\Omega^{\Omega^2+\Omega×\omega})\)
|-
|-
|(0)(1,1)(2,1)(3,1)(3,1)(2,1)(3,1)(4)(5,1)(6,1)(7,1)(7,1)
|(0)(1,1)(2,1)(3,1)(3,1)(2,1)(3,1)(3)(4,1)(5,1)(6,1)(6,1)
|ψ(Ω^(Ω^2+Ω*ACO))
|\(\psi(\Omega^{\Omega^2+\Omega×\psi(\Omega^{\Omega^2})})\)
|-
|-
|(0)(1,1)(2,1)(3,1)(3,1)(2,1)(3,1)(3,1)
|(0)(1,1)(2,1)(3,1)(3,1)(2,1)(3,1)(3,1)
|ψ(Ω^(Ω^2*2))
|\(\psi(\Omega^{\Omega^2×2})\)
|-
|-
|(0)(1,1)(2,1)(3,1)(3,1)(3)
|(0)(1,1)(2,1)(3,1)(3,1)(3)
|ψ(Ω^(Ω^2*ω))
|\(\psi(\Omega^{\Omega^2×\omega})\)
|-
|-
|(0)(1,1)(2,1)(3,1)(3,1)(3)(4,1)(5,1)(6,1)(6,1)
|(0)(1,1)(2,1)(3,1)(3,1)(3)(4,1)(5,1)(6,1)(6,1)
|ψ(Ω^(Ω^2*ACO))
|\(\psi(\Omega^{\Omega^2×\psi(\Omega^{\Omega^2})})\)
|-
|-
|(0)(1,1)(2,1)(3,1)(3,1)(3,1)
|(0)(1,1)(2,1)(3,1)(3,1)(3,1)
|ψ(Ω^Ω^3)
|\(\psi(\Omega^{\Omega^3})\)
|-
|(0)(1,1)(2,1)(3,1)(3,1)(3,1)(3,1)
|ψ(Ω^Ω^4)
|-
|-
|(0)(1,1)(2,1)(3,1)(4)
|(0)(1,1)(2,1)(3,1)(4)
|ψ(Ω^Ω^ω) = Small Veblen's Ordinal
|\(\psi(\Omega^{\Omega^\omega})=SVO\)
|-
|(0)(1,1)(2,1)(3,1)(4)(1,1)
|ψ(Ω^Ω^ω+Ω)
|-
|(0)(1,1)(2,1)(3,1)(4)(1,1)(2,1)
|ψ(Ω^Ω^ω+Ω^2)
|-
|(0)(1,1)(2,1)(3,1)(4)(1,1)(2,1)(2,1)
|ψ(Ω^Ω^ω+Ω^3)
|-
|(0)(1,1)(2,1)(3,1)(4)(1,1)(2,1)(3)
|ψ(Ω^Ω^ω+Ω^ω)
|-
|(0)(1,1)(2,1)(3,1)(4)(1,1)(2,1)(3)(4,1)(5,1)(6,1)(7)
|ψ(Ω^Ω^ω+Ω^SVO)
|-
|(0)(1,1)(2,1)(3,1)(4)(1,1)(2,1)(3,1)
|ψ(Ω^Ω^ω+Ω^Ω)
|-
|-
|(0)(1,1)(2,1)(3,1)(4)(1,1)(2,1)(3,1)(4)
|(0)(1,1)(2,1)(3,1)(4)(1,1)(2,1)(3,1)(4)
|ψ(Ω^Ω^ω*2)
|\(\psi(\Omega^{\Omega^\omega}×2)\)
|-
|(0)(1,1)(2,1)(3,1)(4)(2)
|ψ(Ω^Ω^ω*ω)
|-
|-
|(0)(1,1)(2,1)(3,1)(4)(2,1)
|(0)(1,1)(2,1)(3,1)(4)(2,1)
|ψ(Ω^(Ω^ω+1))
|\(\psi(\Omega^{\Omega^\omega+1})\)
|-
|(0)(1,1)(2,1)(3,1)(4)(2,1)(3)
|ψ(Ω^(Ω^ω+ω))
|-
|(0)(1,1)(2,1)(3,1)(4)(2,1)(3,1)
|ψ(Ω^(Ω^ω+Ω))
|-
|(0)(1,1)(2,1)(3,1)(4)(2,1)(3,1)(3)(4,1)(5,1)(6,1)(7)
|ψ(Ω^(Ω^ω+Ω*SVO))
|-
|(0)(1,1)(2,1)(3,1)(4)(2,1)(3,1)(3,1)
|ψ(Ω^(Ω^ω+Ω^2))
|-
|-
|(0)(1,1)(2,1)(3,1)(4)(2,1)(3,1)(4)
|(0)(1,1)(2,1)(3,1)(4)(2,1)(3,1)(4)
|ψ(Ω^(Ω^ω*2))
|\(\psi(\Omega^{\Omega^\omega×2})\)
|-
|-
|(0)(1,1)(2,1)(3,1)(4)(3)
|(0)(1,1)(2,1)(3,1)(4)(3)
|ψ(Ω^(Ω^ω*ω))
|\(\psi(\Omega^{\Omega^\omega×\omega})\)
|-
|(0)(1,1)(2,1)(3,1)(4)(3)(4,1)(5,1)(6,1)(7)
|ψ(Ω^(Ω^ω*SVO))
|-
|-
|(0)(1,1)(2,1)(3,1)(4)(3,1)
|(0)(1,1)(2,1)(3,1)(4)(3,1)
|ψ(Ω^Ω^(ω+1))
|<nowiki>\(\psi(\Omega^{\Omega^{\omega+1}})\)</nowiki>
|-
|-
|(0)(1,1)(2,1)(3,1)(4)(3,1)(3,1)
|(0)(1,1)(2,1)(3,1)(4)(4)
|ψ(Ω^Ω^(ω+2))
|<nowiki>\(\psi(\Omega^{\Omega^{\psi(2)}})\)</nowiki>
|-
|-
|(0)(1,1)(2,1)(3,1)(4)(3,1)(4)
|(0)(1,1)(2,1)(3,1)(4)(5,1)(6,1)(7,1)(8)
|ψ(Ω^Ω^(ω2))
|<nowiki>\(\psi(\Omega^{\Omega^{\psi(\Omega^{\Omega^\omega})}})\)</nowiki>
|-
|-
|(0)(1,1)(2,1)(3,1)(4)(4)
|(0)(1,1)(2,1)(3,1)(4,1)
|ψ(Ω^Ω^ω^2)
|\(\psi(\Omega^{\Omega^\Omega})=LVO\)
|-
|-
|(0)(1,1)(2,1)(3,1)(4)(5)
|(0)(1,1)(2,1)(3,1)(4,1)(1)(2,1)(3,1)(4,1)(5,1)
|ψ(Ω^Ω^ω^ω)
|\(\psi(\Omega^{\Omega^\Omega}+\psi(\Omega^{\Omega^\Omega}))\)
|-
|-
|(0)(1,1)(2,1)(3,1)(4)(5,1)
|(0)(1,1)(2,1)(3,1)(4,1)(1,1)
|ψ(Ω^Ω^SCO)
|\(\psi(\Omega^{\Omega^\Omega}+\Omega)\)
|-
|-
|(0)(1,1)(2,1)(3,1)(4)(5,1)(6,1)(7,1)
|(0)(1,1)(2,1)(3,1)(4,1)(1,1)(2)(3,1)(4,1)(5,1)(6,1)
|ψ(Ω^Ω^FSO)
|\(\psi(\Omega^{\Omega^\Omega}+\Omega×\psi(\Omega^{\Omega^\Omega}))\)
|-
|-
|(0)(1,1)(2,1)(3,1)(4)(5,1)(6,1)(7,1)(8)
|(0)(1,1)(2,1)(3,1)(4,1)(1,1)(2,1)
|ψ(Ω^Ω^SVO)
|\(\psi(\Omega^{\Omega^\Omega}+\Omega^2)\)
|-
|-
|(0)(1,1)(2,1)(3,1)(4)(5,1)(6,1)(7,1)(8)(9,1)(A,1)(B,1)(C)
|(0)(1,1)(2,1)(3,1)(4,1)(1,1)(2,1)(3)(4,1)(5,1)(6,1)(7,1)
|ψ(Ω^Ω^ψ(Ω^Ω^SVO))
|\(\psi(\Omega^{\Omega^\Omega}+\Omega^\psi(\Omega^{\Omega^\Omega}))\)
|-
|-
|(0)(1,1)(2,1)(3,1)(4,1)
|(0)(1,1)(2,1)(3,1)(4,1)(1,1)(2,1)(3,1)
|ψ(Ω^Ω^Ω) = Large Veblen's Ordinal = the Tank
|\(\psi(\Omega^{\Omega^\Omega}+\Omega^\Omega)\)
|-
|(0)(1,1)(2,1)(3,1)(4,1)(1,1)(2,1)(3,1)(2)(3,1)(4,1)(5,1)(6,1)
|\(\psi(\Omega^{\Omega^\Omega}+\Omega^\Omega×\psi(\Omega^{\Omega^\Omega}))\)
|-
|-
|(0)(1,1)(2,1)(3,1)(4,1)(1,1)
|(0)(1,1)(2,1)(3,1)(4,1)(1,1)(2,1)(3,1)(2,1)(3,1)
|ψ(Ω^Ω^Ω+Ω)
|\(\psi(\Omega^{\Omega^\Omega}+\Omega^{\Omega×2})\)
|-
|-
|(0)(1,1)(2,1)(3,1)(4,1)(1,1)(2,1)(3)(4,1)(5,1)(6,1)(7,1)
|(0)(1,1)(2,1)(3,1)(4,1)(1,1)(2,1)(3,1)(3)
|ψ(Ω^Ω^Ω+Ω^LVO)
|\(\psi(\Omega^{\Omega^\Omega}+\Omega^{\Omega×\omega})\)
|-
|-
|(0)(1,1)(2,1)(3,1)(4,1)(1,1)(2,1)(3,1)
|(0)(1,1)(2,1)(3,1)(4,1)(1,1)(2,1)(3,1)(3)(4,1)(5,1)(6,1)(7,1)
|ψ(Ω^Ω^Ω+Ω^Ω)
|\(\psi(\Omega^{\Omega^\Omega}+\Omega^{\Omega×\psi(\Omega^{\Omega^\Omega})})\)
|-
|-
|(0)(1,1)(2,1)(3,1)(4,1)(1,1)(2,1)(3,1)(4)
|(0)(1,1)(2,1)(3,1)(4,1)(1,1)(2,1)(3,1)(3,1)
|ψ(Ω^Ω^Ω+Ω^Ω^ω)
|\(\psi(\Omega^{\Omega^\Omega}+\Omega^{\Omega^2})\)
|-
|-
|(0)(1,1)(2,1)(3,1)(4,1)(1,1)(2,1)(3,1)(4)(5,1)(6,1)(7,1)(8,1)
|(0)(1,1)(2,1)(3,1)(4,1)(1,1)(2,1)(3,1)(4)(5,1)(6,1)(7,1)(8,1)
|ψ(Ω^Ω^Ω+Ω^Ω^LVO)
|<nowiki>\(\psi(\Omega^{\Omega^\Omega}+\Omega^{\Omega^{\psi(\Omega^{\Omega^\Omega})}})\)</nowiki>
|-
|-
|(0)(1,1)(2,1)(3,1)(4,1)(1,1)(2,1)(3,1)(4,1)
|(0)(1,1)(2,1)(3,1)(4,1)(1,1)(2,1)(3,1)(4,1)
|ψ(Ω^Ω^Ω*2)
|\(\psi(\Omega^{\Omega^\Omega}×2)\)
|-
|-
|(0)(1,1)(2,1)(3,1)(4,1)(2)
|(0)(1,1)(2,1)(3,1)(4,1)(2)(3,1)(4,1)(5,1)(6,1)
|ψ(Ω^Ω^Ω*ω)
|\(\psi(\Omega^{\Omega^\Omega}×\psi(\Omega^{\Omega^\Omega}))\)
|-
|-
|(0)(1,1)(2,1)(3,1)(4,1)(2,1)
|(0)(1,1)(2,1)(3,1)(4,1)(2,1)
|ψ(Ω^(Ω^Ω+1))
|\(\psi(\Omega^{\Omega^\Omega+1})\)
|-
|(0)(1,1)(2,1)(3,1)(4,1)(2,1)(3)(4,1)(5,1)(6,1)(7,1)
|\(\psi(\Omega^{\Omega^\Omega+\psi(\Omega^{\Omega^\Omega})})\)
|-
|(0)(1,1)(2,1)(3,1)(4,1)(2,1)(3,1)
|\(\psi(\Omega^{\Omega^\Omega+\Omega})\)
|-
|(0)(1,1)(2,1)(3,1)(4,1)(2,1)(3,1)(4)
|\(\psi(\Omega^{\Omega^\Omega+\Omega^\omega})\)
|-
|(0)(1,1)(2,1)(3,1)(4,1)(2,1)(3,1)(4)(5,1)(6,1)(7,1)(8,1)
|\(\psi(\Omega^{\Omega^\Omega+\Omega^\psi(\Omega^{\Omega^\Omega})})\)
|-
|-
|(0)(1,1)(2,1)(3,1)(4,1)(2,1)(3,1)(4,1)
|(0)(1,1)(2,1)(3,1)(4,1)(2,1)(3,1)(4,1)
|ψ(Ω^(Ω^Ω*2))
|\(\psi(\Omega^{\Omega^\Omega×2})\)
|-
|-
|(0)(1,1)(2,1)(3,1)(4,1)(3)
|(0)(1,1)(2,1)(3,1)(4,1)(3)
|ψ(Ω^(Ω^Ω*ω))
|\(\psi(\Omega^{\Omega^\Omega×\omega})\)
|-
|(0)(1,1)(2,1)(3,1)(4,1)(3)(4,1)(5,1)(6,1)(7,1)
|ψ(Ω^(Ω^Ω*LVO))
|-
|-
|(0)(1,1)(2,1)(3,1)(4,1)(3,1)
|(0)(1,1)(2,1)(3,1)(4,1)(3,1)
|ψ(Ω^Ω^(Ω+1))
|<nowiki>\(\psi(\Omega^{\Omega^{\Omega+1}})\)</nowiki>
|-
|-
|(0)(1,1)(2,1)(3,1)(4,1)(3,1)(4)
|(0)(1,1)(2,1)(3,1)(4,1)(3,1)(4)
|ψ(Ω^Ω^(Ω+ω))
|<nowiki>\(\psi(\Omega^{\Omega^{\Omega+\omega}})\)</nowiki>
|-
|(0)(1,1)(2,1)(3,1)(4,1)(3,1)(4)(5,1)(6,1)(7,1)(8,1)
|<nowiki>\(\psi(\Omega^{\Omega^{\Omega+\psi(\Omega^{\Omega^\Omega})}})\)</nowiki>
|-
|-
|(0)(1,1)(2,1)(3,1)(4,1)(3,1)(4,1)
|(0)(1,1)(2,1)(3,1)(4,1)(3,1)(4,1)
|ψ(Ω^Ω^(Ω*2))
|<nowiki>\(\psi(\Omega^{\Omega^{\Omega×2}})\)</nowiki>
|-
|(0)(1,1)(2,1)(3,1)(4,1)(4,1)
|<nowiki>\(\psi(\Omega^{\Omega^{\Omega^2}})\)</nowiki>
|-
|-
|(0)(1,1)(2,1)(3,1)(4,1)(4)
|(0)(1,1)(2,1)(3,1)(4,1)(4,1)(3,1)
|ψ(Ω^Ω^(Ω*ω))
|<nowiki>\(\psi(\Omega^{\Omega^{\Omega^2+1}})\)</nowiki>
|-
|-
|(0)(1,1)(2,1)(3,1)(4,1)(4,1)
|(0)(1,1)(2,1)(3,1)(4,1)(4,1)(3,1)(4,1)(4,1)
|ψ(Ω^Ω^Ω^2)
|<nowiki>\(\psi(\Omega^{\Omega^{\Omega^2×2}})\)</nowiki>
|-
|-
|(0)(1,1)(2,1)(3,1)(4,1)(4,1)(4,1)
|(0)(1,1)(2,1)(3,1)(4,1)(4,1)(4,1)
|ψ(Ω^Ω^Ω^3)
|<nowiki>\(\psi(\Omega^{\Omega^{\Omega^3}})\)</nowiki>
|-
|-
|(0)(1,1)(2,1)(3,1)(4,1)(5)
|(0)(1,1)(2,1)(3,1)(4,1)(5,1)
|ψ(Ω^Ω^Ω^ω)
|<nowiki>\(\psi(\Omega^{\Omega^{\Omega^\Omega}})\)</nowiki>
|-
|(0)(1,1)(2,1)(3,1)(4,1)(5)(6,1)
|ψ(Ω^Ω^Ω^SCO)
|-
|-
|(0)(1,1)(2,1)(3,1)(4,1)(5)(6,1)(7,1)
|(0)(1,1)(2,1)(3,1)(4,1)(5,1)(3,1)(4,1)(5,1)
|ψ(Ω^Ω^Ω^FSO)
|<nowiki>\(\psi(\Omega^{\Omega^{\Omega^\Omega×2}})\)</nowiki>
|-
|-
|(0)(1,1)(2,1)(3,1)(4,1)(5)(6,1)(7,1)(8,1)
|(0)(1,1)(2,1)(3,1)(4,1)(5,1)(4,1)
|ψ(Ω^Ω^Ω^LVO)
|<nowiki>\(\psi(\Omega^{\Omega^{\Omega^{\Omega+1}}})\)</nowiki>
|-
|-
|(0)(1,1)(2,1)(3,1)(4,1)(5,1)
|(0)(1,1)(2,1)(3,1)(4,1)(5,1)(4,1)(5,1)
|ψ(Ω^Ω^Ω^Ω)
|<nowiki>\(\psi(\Omega^{\Omega^{\Omega^{\Omega×2}}})\)</nowiki>
|-
|-
|(0)(1,1)(2,1)(3,1)(4,1)(5,1)(6)
|(0)(1,1)(2,1)(3,1)(4,1)(5,1)(5,1)
|ψ(Ω^Ω^Ω^Ω^ω)
|<nowiki>\(\psi(\Omega^{\Omega^{\Omega^{\Omega^2}}})\)</nowiki>
|-
|-
|(0)(1,1)(2,1)(3,1)(4,1)(5,1)(6,1)
|(0)(1,1)(2,1)(3,1)(4,1)(5,1)(6,1)
|ψ(Ω^Ω^Ω^Ω^Ω)
|<nowiki>\(\psi(\Omega^{\Omega^{\Omega^{\Omega^\Omega}}})\)</nowiki>
|-
|(0)(1,1)(2,1)(3,1)(4,1)(5,1)(6,1)(7,1)
|ψ(Ω^^6)
|-
|-
|(0)(1,1)(2,2)
|(0)(1,1)(2,2)
|ψ(Ω_2) = Bachmann-Howard Ordinal
|\(\psi(\Omega_2)=BHO\)
|-
|-
|(0)(1,1)(2,2)(1)
|(0)(1,1)(2,2)(1)
|ψ(Ω_2+1)
|\(\psi(\Omega_2+1)\)
|-
|-
|(0)(1,1)(2,2)(1)(2,1)
|(0)(1,1)(2,2)(1)(2,1)
|ψ(Ω_2+SCO)
|\(\psi(\Omega_2+\psi(\Omega))\)
|-
|-
|(0)(1,1)(2,2)(1)(2,1)(3,1)
|(0)(1,1)(2,2)(1)(2,1)(3,2)
|ψ(Ω_2+CO)
|\(\psi(\Omega_2+\psi(\Omega_2))\)
|-
|-
|(0)(1,1)(2,2)(1)(2,1)(3,2)
|(0)(1,1)(2,2)(1)(2,1)(3,2)(2)
|ψ(Ω_2+BHO)
|\(\psi(\Omega_2+\psi(\Omega_2+1))\)
|-
|-
|(0)(1,1)(2,2)(1)(2,1)(3,2)(2)(3,1)(4,2)
|(0)(1,1)(2,2)(1)(2,1)(3,2)(2)(3,1)(4,2)
|ψ(Ω_2+ψ(Ω_2+BHO))
|\(\psi(\Omega_2+\psi(\Omega_2+\psi(\Omega_2)))\)
|-
|-
|(0)(1,1)(2,2)(1,1)
|(0)(1,1)(2,2)(1,1)
|ψ(Ω_2+Ω)
|\(\psi(\Omega_2+\Omega)\)
|-
|(0)(1,1)(2,2)(1,1)(2)
|\(\psi(\Omega_2+\Omega×\omega)\)
|-
|(0)(1,1)(2,2)(1,1)(2)(3,1)(4,2)
|\(\psi(\Omega_2+\Omega×\psi(\Omega_2))\)
|-
|-
|(0)(1,1)(2,2)(1,1)(2,1)
|(0)(1,1)(2,2)(1,1)(2,1)
|ψ(Ω_2+Ω^2)
|\(\psi(\Omega_2+\Omega^2)\)
|-
|-
|(0)(1,1)(2,2)(1,1)(2,1)(3)(4,1)(5,2)
|(0)(1,1)(2,2)(1,1)(2,2)
|ψ(Ω_2+Ω^BHO)
|\(\psi(\Omega_2+\psi_1(\Omega_2))\)
|-
|(0)(1,1)(2,2)(2)
|\(\psi(\Omega_2+\psi_1(\Omega_2+1))\)
|-
|-
|(0)(1,1)(2,2)(1,1)(2,1)(3,1)
|(0)(1,1)(2,2)(2)(3,1)(4,2)
|ψ(Ω_2+Ω^Ω)
|\(\psi(\Omega_2+\psi_1(\Omega_2+\psi(\Omega_2)))\)
|-
|-
|(0)(1,1)(2,2)(1,1)(2,2)
|(0)(1,1)(2,2)(2,1)
|ψ(Ω_2+ψ_1(Ω_2))
|\(\psi(\Omega_2+\psi_1(\Omega_2+\Omega))\)
|-
|-
|(0)(1,1)(2,2)(1,1)(2,2)(1,1)
|(0)(1,1)(2,2)(2,1)(1,1)(2,2)
|ψ(Ω_2+ψ_1(Ω_2)+Ω)
|\(\psi(\Omega_2+\psi_1(\Omega_2+\Omega)+\psi_1(\Omega_2))\)
|-
|-
|(0)(1,1)(2,2)(1,1)(2,2)(1,1)(2,2)
|(0)(1,1)(2,2)(2,1)(1,1)(2,2)(2)(3,1)(4,2)(4,1)
|ψ(Ω_2+ψ_1(Ω_2)*2)
|\(\psi(\Omega_2+\psi_1(\Omega_2+\Omega)+\psi_1(\Omega_2+\psi(\Omega_2+\psi_1(\Omega_2+\Omega))))\)
|-
|-
|(0)(1,1)(2,2)(2)
|(0)(1,1)(2,2)(2,1)(1,1)(2,2)(2,1)
|ψ(Ω_2+ψ_1(Ω_2+1))
|\(\psi(\Omega_2+\psi_1(\Omega_2+\Omega)×2)\)
|-
|-
|(0)(1,1)(2,2)(2)(3,1)
|(0)(1,1)(2,2)(2,1)(2)
|ψ(Ω_2+ψ_1(Ω_2+SCO))
|\(\psi(\Omega_2+\psi_1(\Omega_2+\Omega+1))\)
|-
|-
|(0)(1,1)(2,2)(2)(3,1)(4,2)
|(0)(1,1)(2,2)(2,1)(2,1)
|ψ(Ω_2+ψ_1(Ω_2+BHO))
|\(\psi(\Omega_2+\psi_1(\Omega_2+\Omega×2))\)
|-
|-
|(0)(1,1)(2,2)(2,1)
|(0)(1,1)(2,2)(2,1)(3)
|ψ(Ω_2+ψ_1(Ω_2+Ω))
|\(\psi(\Omega_2+\psi_1(\Omega_2+\Omega×\omega))\)
|-
|-
|(0)(1,1)(2,2)(2,1)(3)(4,1)(5,2)(4,1)(5,2)
|(0)(1,1)(2,2)(2,1)(3)(4,1)(5,2)
|ψ(Ω_2+ψ_1(Ω_2+Ω^ψ(Ω_2+ψ_1(Ω_2)))
|\(\psi(\Omega_2+\psi_1(\Omega_2+\Omega×\psi(\Omega_2)))\)
|-
|-
|(0)(1,1)(2,2)(2,1)(3,1)
|(0)(1,1)(2,2)(2,1)(3,1)
|ψ(Ω_2+ψ_1(Ω_2+Ω^Ω))
|\(\psi(\Omega_2+\psi_1(\Omega_2+\Omega^2))\)
|-
|-
|(0)(1,1)(2,2)(2,1)(3,2)
|(0)(1,1)(2,2)(2,1)(3,2)
|ψ(Ω_2+ψ_1(Ω_2+ψ_1(Ω_2)))
|\(\psi(\Omega_2+\psi_1(\Omega_2+\psi_1(\Omega_2)))\)
|-
|-
|(0)(1,1)(2,2)(2,1)(3,2)(1)
|(0)(1,1)(2,2)(2,1)(3,2)(3)
|ψ(Ω_2+ψ_1(Ω_2+ψ_1(Ω_2))+1)
|\(\psi(\Omega_2+\psi_1(\Omega_2+\psi_1(\Omega_2+1)))\)
|-
|(0)(1,1)(2,2)(2,1)(3,2)(2)
|ψ(Ω_2+ψ_1(Ω_2+ψ_1(Ω_2)+1))
|-
|-
|(0)(1,1)(2,2)(2,1)(3,2)(3)
|(0)(1,1)(2,2)(2,1)(3,2)(3,1)
|ψ(Ω_2+ψ_1(Ω_2+ψ_1(Ω_2+1)))
|\(\psi(\Omega_2+\psi_1(\Omega_2+\psi_1(\Omega_2+\Omega)))\)
|-
|-
|(0)(1,1)(2,2)(2,1)(3,2)(3,1)(4,2)
|(0)(1,1)(2,2)(2,1)(3,2)(3,1)(4,2)
|ψ(Ω_2+ψ_1(Ω_2+ψ_1(Ω_2+ψ_1(Ω_2))))
|\(\psi(\Omega_2+\psi_1(\Omega_2+\psi_1(\Omega_2+\psi_1(\Omega_2))))\)
|-
|-
|(0)(1,1)(2,2)(2,2)
|(0)(1,1)(2,2)(2,2)
|ψ(Ω_2*2)
|\(\psi(\Omega_2×2)\)
|-
|-
|(0)(1,1)(2,2)(2,2)(1,1)(2,2)
|(0)(1,1)(2,2)(2,2)(1,1)(2,2)
|ψ(Ω_2*2+ψ_1(Ω_2))
|\(\psi(\Omega_2×2+\psi_1(\Omega_2))\)
|-
|-
|(0)(1,1)(2,2)(2,2)(1,1)(2,2)(2,2)
|(0)(1,1)(2,2)(2,2)(1,1)(2,2)(2,2)
|ψ(Ω_2*2+ψ_1(Ω_2*2))
|\(\psi(\Omega_2×2+\psi_1(\Omega_2×2))\)
|-
|-
|(0)(1,1)(2,2)(2,2)(2)
|(0)(1,1)(2,2)(2,2)(2)
|ψ(Ω_2*2+ψ_1(Ω_2*2+1))
|\(\psi(\Omega_2×2+\psi_1(\Omega_2×2+1))\)
|-
|-
|(0)(1,1)(2,2)(2,2)(2,1)
|(0)(1,1)(2,2)(2,2)(2,1)
|ψ(Ω_2*2+ψ_1(Ω_2*2+Ω))
|\(\psi(\Omega_2×2+\psi_1(\Omega_2×2+\Omega))\)
|-
|(0)(1,1)(2,2)(2,2)(2,1)(3,2)(3,2)
|\(\psi(\Omega_2×2+\psi_1(\Omega_2×2+\psi_1(\Omega_2×2)))\)
|-
|-
|(0)(1,1)(2,2)(2,2)(2,2)
|(0)(1,1)(2,2)(2,2)(2,2)
|ψ(Ω_2*3)
|\(\psi(\Omega_2×3)\)
|-
|-
|(0)(1,1)(2,2)(3)
|(0)(1,1)(2,2)(3)
|ψ(Ω_2*ω)
|\(\psi(\Omega_2×\omega)\)
|-
|(0)(1,1)(2,2)(3)(2,2)(3)
|\(\psi(\Omega_2×\omega×2)\)
|-
|(0)(1,1)(2,2)(3)(4,1)
|\(\psi(\Omega_2×\psi(\Omega))\)
|-
|(0)(1,1)(2,2)(3)(4,1)(5,2)
|\(\psi(\Omega_2×\psi(\Omega_2))\)
|-
|-
|(0)(1,1)(2,2)(3,1)
|(0)(1,1)(2,2)(3,1)
|ψ(Ω_2*Ω)
|\(\psi(\Omega_2×\Omega)\)
|-
|(0)(1,1)(2,2)(3,1)(2,2)(3,1)
|\(\psi(\Omega_2×\Omega×2)\)
|-
|(0)(1,1)(2,2)(3,1)(3,1)
|\(\psi(\Omega_2×\Omega^2)\)
|-
|-
|(0)(1,1)(2,2)(3,1)(4,2)
|(0)(1,1)(2,2)(3,1)(4,2)
|ψ(Ω_2*ψ_1(Ω_2))
|\(\psi(\Omega_2×\psi_1(\Omega_2))\)
|-
|(0)(1,1)(2,2)(3,1)(4,2)(5)
|\(\psi(\Omega_2×\psi_1(\Omega_2×\omega))\)
|-
|(0)(1,1)(2,2)(3,1)(4,2)(5,1)
|\(\psi(\Omega_2×\psi_1(\Omega_2×\Omega))\)
|-
|-
|(0)(1,1)(2,2)(3,2)
|(0)(1,1)(2,2)(3,2)
|ψ(Ω_2^2)
|\(\psi(\Omega_2^2)=\psi(ζ(\Omega+1))\)
|-
|(0)(1,1)(2,2)(3,2)(1,1)(2,2)
|\(\psi(\Omega_2^2+\psi_1(\Omega_2))\)
|-
|(0)(1,1)(2,2)(3,2)(1,1)(2,2)(3,2)
|\(\psi(\Omega_2^2+\psi_1(\Omega_2^2))\)
|-
|(0)(1,1)(2,2)(3,2)(2)
|\(\psi(\Omega_2^2+\psi_1(\Omega_2^2+1))\)
|-
|(0)(1,1)(2,2)(3,2)(2)(3,1)(4,2)(5,2)
|\(\psi(\Omega_2^2+\psi_1(\Omega_2^2+\psi(\Omega_2^2)))\)
|-
|(0)(1,1)(2,2)(3,2)(2,1)
|\(\psi(\Omega_2^2+\psi_1(\Omega_2^2+\Omega))\)
|-
|(0)(1,1)(2,2)(3,2)(2,1)(1,1)(2,2)(3,2)(2)(3,1)(4,2)(5,2)(4,1)
|\(\psi(\Omega_2^2+\psi_1(\Omega_2^2+\Omega)+\psi_1(\Omega_2^2+\psi(\Omega_2^2+\psi_1(\Omega_2^2+\Omega))))\)
|-
|(0)(1,1)(2,2)(3,2)(2,1)(2)
|\(\psi(\Omega_2^2+\psi_1(\Omega_2^2+\Omega+1))\)
|-
|(0)(1,1)(2,2)(3,2)(2,1)(2,1)
|\(\psi(\Omega_2^2+\psi_1(\Omega_2^2+\Omega×2))\)
|-
|(0)(1,1)(2,2)(3,2)(2,1)(3,2)
|\(\psi(\Omega_2^2+\psi_1(\Omega_2^2+\psi_1(\Omega_2)))\)
|-
|(0)(1,1)(2,2)(3,2)(2,1)(3,2)(4,2)
|\(\psi(\Omega_2^2+\psi_1(\Omega_2^2+\psi_1(\Omega_2^2)))\)
|-
|-
|(0)(1,1)(2,2)(3,2)(2,2)
|(0)(1,1)(2,2)(3,2)(2,2)
|ψ(Ω_2^2+Ω_2)
|\(\psi(\Omega_2^2+\Omega_2)\)
|-
|(0)(1,1)(2,2)(3,2)(2,2)(3)
|\(\psi(\Omega_2^2+\Omega_2×\omega)\)
|-
|-
|(0)(1,1)(2,2)(3,2)(2,2)(3,1)
|(0)(1,1)(2,2)(3,2)(2,2)(3,1)
|ψ(Ω_2^2+Ω_2*Ω)
|\(\psi(\Omega_2^2+\Omega_2×\Omega)\)
|-
|-
|(0)(1,1)(2,2)(3,2)(2,2)(3,1)(4,2)(5,2)
|(0)(1,1)(2,2)(3,2)(2,2)(3,1)(4,2)(5,2)
|ψ(Ω_2^2+Ω_2*ψ_1(Ω_2^2))
|\(\psi(\Omega_2^2+\Omega_2×\psi_1(\Omega_2^2))\)
|-
|-
|(0)(1,1)(2,2)(3,2)(2,2)(3,2)
|(0)(1,1)(2,2)(3,2)(2,2)(3,2)
|ψ(Ω_2^2*2)
|\(\psi(\Omega_2^2×2)\)
|-
|-
|(0)(1,1)(2,2)(3,2)(3)
|(0)(1,1)(2,2)(3,2)(3)
|ψ(Ω_2^2*ω)
|\(\psi(\Omega_2^2×\omega)\)
|-
|(0)(1,1)(2,2)(3,2)(3)(4,1)(5,2)(6,2)
|\(\psi(\Omega_2^2×\psi(\Omega_2^2))\)
|-
|-
|(0)(1,1)(2,2)(3,2)(3,1)
|(0)(1,1)(2,2)(3,2)(3,1)
|ψ(Ω_2^2*Ω)
|\(\psi(\Omega_2^2×\Omega)\)
|-
|(0)(1,1)(2,2)(3,2)(3,1)(4,2)
|\(\psi(\Omega_2^2×\psi_1(\Omega_2))\)
|-
|-
|(0)(1,1)(2,2)(3,2)(3,2)
|(0)(1,1)(2,2)(3,2)(3,2)
|ψ(Ω_2^3)
|\(\psi(\Omega_2^3)\)
|-
|-
|(0)(1,1)(2,2)(3,2)(4)
|(0)(1,1)(2,2)(3,2)(4)
|ψ(Ω_2^ω)
|\(\psi(\Omega_2^\omega)\)
|-
|(0)(1,1)(2,2)(3,2)(4)(1,1)(2,2)(3,2)(4)
|\(\psi(\Omega_2^\omega+\psi_1(\Omega_2^\omega))\)
|-
|(0)(1,1)(2,2)(3,2)(4)(2)
|\(\psi(\Omega_2^\omega+\psi_1(\Omega_2^\omega+1))\)
|-
|(0)(1,1)(2,2)(3,2)(4)(2,1)
|\(\psi(\Omega_2^\omega+\psi_1(\Omega_2^\omega+\Omega))\)
|-
|(0)(1,1)(2,2)(3,2)(4)(2,1)(3,2)(4,2)(5)
|\(\psi(\Omega_2^\omega+\psi_1(\Omega_2^\omega+\psi_1(\Omega_2^\omega)))\)
|-
|(0)(1,1)(2,2)(3,2)(4)(2,2)
|\(\psi(\Omega_2^\omega+\Omega_2)\)
|-
|(0)(1,1)(2,2)(3,2)(4)(2,2)(3,1)
|\(\psi(\Omega_2^\omega+\Omega_2×\Omega)\)
|-
|(0)(1,1)(2,2)(3,2)(4)(2,2)(3,2)(4)
|\(\psi(\Omega_2^\omega×2)\)
|-
|(0)(1,1)(2,2)(3,2)(4)(3,1)
|\(\psi(\Omega_2^\omega×\Omega)\)
|-
|(0)(1,1)(2,2)(3,2)(4)(3,2)
|\(\psi(\Omega_2^{\omega+1})\)
|-
|(0)(1,1)(2,2)(3,2)(4)(4)
|\(\psi(\Omega_2^{\psi(2)})\)
|-
|-
|(0)(1,1)(2,2)(3,2)(4,1)
|(0)(1,1)(2,2)(3,2)(4,1)
|ψ(Ω_2^Ω)
|\(\psi(\Omega_2^\Omega)\)
|-
|-
|(0)(1,1)(2,2)(3,2)(4,2)
|(0)(1,1)(2,2)(3,2)(4,1)(5,2)
|ψ(Ω_2^Ω_2)
|\(\psi(\Omega_2^{\psi_1(\Omega_2)})\)
|-
|-
|(0)(1,1)(2,2)(3,2)(4,2)(2,2)
|(0)(1,1)(2,2)(3,2)(4,1)(5,2)(6,2)
|ψ(Ω_2^Ω_2+Ω_2)
|\(\psi(\Omega_2^{\psi_1(\Omega_2^2)})\)
|-
|-
|(0)(1,1)(2,2)(3,2)(4,2)(2,2)(3,2)
|(0)(1,1)(2,2)(3,2)(4,2)
|ψ(Ω_2^Ω_2+Ω_2^2)
|\(\psi(\Omega_2^{\Omega_2})\)
|-
|-
|(0)(1,1)(2,2)(3,2)(4,2)(2,2)(3,2)(4,1)(5,2)(6,2)(7,2)
|(0)(1,1)(2,2)(3,2)(4,2)(2,2)(3,2)(4,1)(5,2)(6,2)(7,2)
|ψ(Ω_2^Ω_2+Ω_2^ψ_1(Ω_2^Ω_2))
|\(\psi(\Omega_2^{\Omega_2}+\Omega_2^{\psi_1(\Omega_2^{\Omega_2})})\)
|-
|-
|(0)(1,1)(2,2)(3,2)(4,2)(2,2)(3,2)(4,2)
|(0)(1,1)(2,2)(3,2)(4,2)(2,2)(3,2)(4,2)
|ψ(Ω_2^Ω_2*2)
|\(\psi(\Omega_2^{\Omega_2}×2)\)
|-
|(0)(1,1)(2,2)(3,2)(4,2)(3)
|ψ(Ω_2^Ω_2*ω)
|-
|-
|(0)(1,1)(2,2)(3,2)(4,2)(3,1)
|(0)(1,1)(2,2)(3,2)(4,2)(3,1)
|ψ(Ω_2^Ω_2*Ω)
|\(\psi(\Omega_2^{\Omega_2}×\Omega)\)
|-
|-
|(0)(1,1)(2,2)(3,2)(4,2)(3,2)
|(0)(1,1)(2,2)(3,2)(4,2)(3,2)
|ψ(Ω_2^(Ω_2+1))
|\(\psi(\Omega_2^{\Omega_2+1})\)
|-
|(0)(1,1)(2,2)(3,2)(4,2)(3,2)(4,1)
|\(\psi(\Omega_2^{\Omega_2+\Omega})\)
|-
|-
|(0)(1,1)(2,2)(3,2)(4,2)(3,2)(4,2)
|(0)(1,1)(2,2)(3,2)(4,2)(3,2)(4,2)
|ψ(Ω_2^(Ω_2*2))
|\(\psi(\Omega_2^{\Omega_2×2})\)
|-
|(0)(1,1)(2,2)(3,2)(4,2)(4)
|ψ(Ω_2^(Ω_2*ω))
|-
|-
|(0)(1,1)(2,2)(3,2)(4,2)(4,1)
|(0)(1,1)(2,2)(3,2)(4,2)(4,1)
|ψ(Ω_2^(Ω_2*Ω))
|\(\psi(\Omega_2^{\Omega_2×\Omega})\)
|-
|-
|(0)(1,1)(2,2)(3,2)(4,2)(4,2)
|(0)(1,1)(2,2)(3,2)(4,2)(4,2)
|ψ(Ω_2^Ω_2^2)
|\(\psi(\Omega_2^{\Omega_2^2})\)
|-
|(0)(1,1)(2,2)(3,2)(4,2)(4,2)(4,2)
|ψ(Ω_2^Ω_2^3)
|-
|-
|(0)(1,1)(2,2)(3,2)(4,2)(5)
|(0)(1,1)(2,2)(3,2)(4,2)(5)
|ψ(Ω_2^Ω_2^ω)
|\(\psi(\Omega_2^{\Omega_2^\omega})\)
|-
|(0)(1,1)(2,2)(3,2)(4,2)(5,1)
|ψ(Ω_2^Ω_2^Ω)
|-
|-
|(0)(1,1)(2,2)(3,2)(4,2)(5,2)
|(0)(1,1)(2,2)(3,2)(4,2)(5,2)
|ψ(Ω_2^^3)
|<nowiki>\(\psi(\Omega_2^{\Omega_2^{\Omega_2}})\)</nowiki>
|-
|(0)(1,1)(2,2)(3,2)(4,2)(5,2)(6,2)
|ψ(Ω_2^^4)
|-
|-
|(0)(1,1)(2,2)(3,3)
|(0)(1,1)(2,2)(3,3)
|ψ(Ω_3)
|\(\psi(\Omega_3)\)
|-
|-
|(0)(1,1)(2,2)(3,3)(1,1)
|(0)(1,1)(2,2)(3,3)(1,1)
|ψ(Ω_3+Ω)
|\(\psi(\Omega_3+\Omega)\)
|-
|-
|(0)(1,1)(2,2)(3,3)(1,1)(2,1)(3,1)
|(0)(1,1)(2,2)(3,3)(1,1)(2,2)(3,3)
|ψ(Ω_3+Ω^Ω)
|\(\psi(\Omega_3+\psi_1(\Omega_3))\)
|-
|-
|(0)(1,1)(2,2)(3,3)(1,1)(2,2)
|(0)(1,1)(2,2)(3,3)(2,1)
|ψ(Ω_3+ψ_1(Ω_2))
|\(\psi(\Omega_3+\psi_1(\Omega_3+\Omega))\)
|-
|(0)(1,1)(2,2)(3,3)(2,1)(3,2)(4,3)
|ψ(Ω_3+ψ_1(Ω_3))
|-
|-
|(0)(1,1)(2,2)(3,3)(2,2)
|(0)(1,1)(2,2)(3,3)(2,2)
|ψ(Ω_3+Ω_2)
|\(\psi(\Omega_3+\Omega_2)\)
|-
|(0)(1,1)(2,2)(3,3)(2,2)(3,2)
|ψ(Ω_3+Ω_2^2)
|-
|-
|(0)(1,1)(2,2)(3,3)(2,2)(3,3)
|(0)(1,1)(2,2)(3,3)(2,2)(3,3)
|ψ(Ω_3+ψ_2(Ω_3))
|\(\psi(\Omega_3+\psi_2(\Omega_3))\)
|-
|-
|(0)(1,1)(2,2)(3,3)(3)
|(0)(1,1)(2,2)(3,3)(3)
|ψ(Ω_3+ψ_2(Ω_3+1))
|\(\psi(\Omega_3+\psi_2(\Omega_3+1))\)
|-
|-
|(0)(1,1)(2,2)(3,3)(3,1)
|(0)(1,1)(2,2)(3,3)(3,2)(4,3)
|ψ(Ω_3+ψ_2(Ω_3+Ω))
|\(\psi(\Omega_3+\psi_2(\Omega_3+\psi_2(\Omega_3)))\)
|-
|-
|(0)(1,1)(2,2)(3,3)(3,1)(4,2)(5,3)
|(0)(1,1)(2,2)(3,3)(3,3)
|ψ(Ω_3+ψ_2(Ω_3+ψ_1(Ω_3)))
|\(\psi(\Omega_3×2)\)
|-
|-
|(0)(1,1)(2,2)(3,3)(3,2)
|(0)(1,1)(2,2)(3,3)(4,2)
|ψ(Ω_3+ψ_2(Ω_3+Ω_2))
|\(\psi(\Omega_3×\Omega_2)\)
|-
|-
|(0)(1,1)(2,2)(3,3)(3,2)(4,3)
|(0)(1,1)(2,2)(3,3)(4,2)(5,3)
|ψ(Ω_3+ψ_2(Ω_3+ψ_2(Ω_3)))
|\(\psi(\Omega_3×\psi_2(\Omega_3))\)
|-
|-
|(0)(1,1)(2,2)(3,3)(3,3)
|(0)(1,1)(2,2)(3,3)(4,3)
|ψ(Ω_3*2)
|\(\psi(\Omega_3^2)\)
|-
|-
|(0)(1,1)(2,2)(3,3)(4)
|(0)(1,1)(2,2)(3,3)(4,3)(3,3)(4,2)(5,3)(6,3)
|ψ(Ω_3*ω)
|\(\psi(\Omega_3^2+\Omega_3×\psi_2(\Omega_3^2))\)
|-
|-
|(0)(1,1)(2,2)(3,3)(4,3)
|(0)(1,1)(2,2)(3,3)(4,3)(3,3)(4,3)
|ψ(Ω_3^2)
|\(\psi(\Omega_3^2×2)\)
|-
|-
|(0)(1,1)(2,2)(3,3)(4,3)(4,3)
|(0)(1,1)(2,2)(3,3)(4,3)(4,3)
|ψ(Ω_3^3)
|\(\psi(\Omega_3^3)\)
|-
|(0)(1,1)(2,2)(3,3)(4,3)(5,3)
|\(\psi(\Omega_3^{\Omega_3})\)
|-
|(0)(1,1)(2,2)(3,3)(4,3)(5,3)(3,3)(4,3)(5,2)(6,3)(7,3)(8,3)
|\(\psi(\Omega_3^{\Omega_3}+\Omega_3^{\psi_2(\Omega_3^{\Omega_3})})\)
|-
|-
|(0)(1,1)(2,2)(3,3)(4,3)(5)
|(0)(1,1)(2,2)(3,3)(4,3)(5,3)(3,3)(4,3)(5,3)
|ψ(Ω_3^ω)
|\(\psi(\Omega_3^{\Omega_3}×2)\)
|-
|-
|(0)(1,1)(2,2)(3,3)(4,3)(5,3)
|(0)(1,1)(2,2)(3,3)(4,3)(5,3)(4,3)
|ψ(Ω_3^Ω_3)
|\(\psi(\Omega_3^{\Omega_3+1})\)
|-
|-
|(0)(1,1)(2,2)(3,3)(4,4)
|(0)(1,1)(2,2)(3,3)(4,3)(5,3)(5,3)
|ψ(Ω_4)
|\(\psi(\Omega_3^{\Omega_3^2})\)
|-
|-
|(0)(1,1)(2,2)(3,3)(4,4)(5,5)
|(0)(1,1)(2,2)(3,3)(4,3)(5,3)(6,3)
|ψ(Ω_5)
|<nowiki>\(\psi(\Omega_3^{\Omega_3^{\Omega_3}})\)</nowiki>
|-
|-
|(0)(1,1)(2,2)(3,3)(4,4)(5,5)(6,6)
|(0)(1,1)(2,2)(3,3)(4,4)
|ψ(Ω_6)
|\(\psi(\Omega_4)\)
|-
|-
|(0)(1,1,1)
|(0)(1,1,1)
|ψ(Ω_ω) = Buchholz's Ordinal
|\(\psi(\Omega_\omega)=BO\)
|}
|}
[[分类:分析]]
[[分类:分析]]

2025年8月30日 (六) 21:57的最新版本

本条目展示BMS强度分析的第一部分

BMS 向上投影递归化
0 0
(0)(0) \(\psi(0)\)
(0)(1) \(\psi(1)\)
(0)(1)(0) \(\psi(1)+\psi(0)\)
(0)(1)(0)(1) \(\psi(1)×2\)
(0)(1)(1) \(\psi(2)\)
(0)(1)(2) \(\psi(\omega)\)
(0)(1)(2)(0) \(\psi(\omega)+\psi(0)\)
(0)(1)(2)(0)(1) \(\psi(\omega)+\psi(1)\)
(0)(1)(2)(0)(1)(1) \(\psi(\omega)+\psi(2)\)
(0)(1)(2)(0)(1)(2) \(\psi(\omega)×2\)
(0)(1)(2)(1) \(\psi(\omega+1)\)
(0)(1)(2)(1)(2) \(\psi(\omega×2)=\psi(\psi(1)×2)\)
(0)(1)(2)(2) \(\psi(\psi(2))\)
(0)(1)(2)(2)(1) \(\psi(\psi(2)+\psi(0))\)
(0)(1)(2)(2)(1)(2) \(\psi(\psi(2)+\psi(1))\)
(0)(1)(2)(2)(1)(2)(2) \(\psi(\psi(2)×2)\)
(0)(1)(2)(2)(2) \(\psi(\psi(3))\)
(0)(1)(2)(3) \(\psi(\psi(\omega))\)
(0)(1)(2)(3)(2) \(\psi(\psi(\omega+1))\)
(0)(1)(2)(3)(2)(3) \(\psi(\psi(\psi(1)×2))\)
(0)(1)(2)(3)(3) \(\psi(\psi(\psi(2)))\)
(0)(1)(2)(3)(4) \(\psi(\psi(\psi(\omega)))\)
(0)(1,1) \(\psi(\Omega)=ε0\)
(0)(1,1)(0)(1,1) \(\psi(\Omega)×2\)
(0)(1,1)(1) \(\psi(\Omega+1)\)
(0)(1,1)(1)(1) \(\psi(\Omega+2)\)
(0)(1,1)(1)(2) \(\psi(\Omega+\omega)\)
(0)(1,1)(1)(2)(1)(2) \(\psi(\Omega+\omega×2)\)
(0)(1,1)(1)(2)(2) \(\psi(\Omega+\omega^2)=\psi(\Omega+\psi(2))\)
(0)(1,1)(1)(2)(3) \(\psi(\Omega+\psi(\omega))\)
(0)(1,1)(1)(2)(3)(2) \(\psi(\Omega+\psi(\omega+1))\)
(0)(1,1)(1)(2)(3)(2)(3) \(\psi(\Omega+\psi(\omega×2))\)
(0)(1,1)(1)(2)(3)(3) \(\psi(\Omega+\psi(\psi(2)))\)
(0)(1,1)(1)(2)(3)(4) \(\psi(\Omega+\psi(\psi(\omega)))\)
(0)(1,1)(1)(2,1) \(\psi(\Omega+\psi(\Omega))\)
(0)(1,1)(1)(2,1)(0)(1,1)(1)(2,1) \(\psi(\Omega+\psi(\Omega))×2\)
(0)(1,1)(1)(2,1)(1) \(\psi(\Omega+\psi(\Omega)+1)\)
(0)(1,1)(1)(2,1)(1)(2) \(\psi(\Omega+\psi(\Omega)+\omega)\)
(0)(1,1)(1)(2,1)(1)(2,1) \(\psi(\Omega+\psi(\Omega)×2)\)
(0)(1,1)(1)(2,1)(2) \(\psi(\Omega+\psi(\Omega+1))\)
(0)(1,1)(1)(2,1)(2)(1)(2,1)(2) \(\psi(\Omega+\psi(\Omega+1)×2)\)
(0)(1,1)(1)(2,1)(2)(2) \(\psi(\Omega+\psi(\Omega+2))\)
(0)(1,1)(1)(2,1)(2)(3) \(\psi(\Omega+\psi(\Omega+\omega))\)
(0)(1,1)(1)(2,1)(2)(3,1) \(\psi(\Omega+\psi(\Omega+\psi(\Omega)))\)
(0)(1,1)(1,1) \(\psi(\Omega×2)=ε1\)
(0)(1,1)(1,1)(1) \(\psi(\Omega×2+1)\)
(0)(1,1)(1,1)(1)(2,1) \(\psi(\Omega×2+\psi(\Omega))\)
(0)(1,1)(1,1)(1)(2,1)(2) \(\psi(\Omega×2+\psi(\Omega+1))\)
(0)(1,1)(1,1)(1)(2,1)(2)(3,1) \(\psi(\Omega×2+\psi(\Omega+\psi(\Omega)))\)
(0)(1,1)(1,1)(1)(2,1)(2,1) \(\psi(\Omega×2+\psi(\Omega×2))\)
(0)(1,1)(1,1)(1)(2,1)(2,1)(1)(2,1)(2,1) \(\psi(\Omega×2+\psi(\Omega×2)×2)\)
(0)(1,1)(1,1)(1)(2,1)(2,1)(2) \(\psi(\Omega×2+\psi(\Omega×2+1))\)
(0)(1,1)(1,1)(1)(2,1)(2,1)(2)(1)(2,1)(2,1)(2) \(\psi(\Omega×2+\psi(\Omega×2+1)×2)\)
(0)(1,1)(1,1)(1)(2,1)(2,1)(2)(2) \(\psi(\Omega×2+\psi(\Omega×2+2))\)
(0)(1,1)(1,1)(1)(2,1)(2,1)(2)(3) \(\psi(\Omega×2+\psi(\Omega×2+\omega))\)
(0)(1,1)(1,1)(1)(2,1)(2,1)(2)(3,1) \(\psi(\Omega×2+\psi(\Omega×2+\psi(\Omega)))\)
(0)(1,1)(1,1)(1)(2,1)(2,1)(2)(3,1)(3,1) \(\psi(\Omega×2+\psi(\Omega×2+\psi(\Omega×2)))\)
(0)(1,1)(1,1)(1,1) \(\psi(\Omega×3)=ε2\)
(0)(1,1)(1,1)(1,1)(1)(2,1)(2,1)(2,1) \(\psi(\Omega×3+\psi(\Omega×3))\)
(0)(1,1)(1,1)(1,1)(1,1) \(\psi(\Omega×4)\)
(0)(1,1)(2) \(\psi(\Omega×\omega)\)
(0)(1,1)(2)(1) \(\psi(\Omega×\omega+1)\)
(0)(1,1)(2)(1)(2) \(\psi(\Omega×\omega+\omega)\)
(0)(1,1)(2)(1)(2,1) \(\psi(\Omega×\omega+\psi(\Omega))\)
(0)(1,1)(2)(1)(2,1)(3) \(\psi(\Omega×\omega+\psi(\Omega×\omega))\)
(0)(1,1)(2)(1)(2,1)(3)(1)(2,1)(3) \(\psi(\Omega×\omega+\psi(\Omega×\omega)×2)\)
(0)(1,1)(2)(1)(2,1)(3)(2) \(\psi(\Omega×\omega+\psi(\Omega×\omega+1))\)
(0)(1,1)(2)(1)(2,1)(3)(2)(3,1) \(\psi(\Omega×\omega+\psi(\Omega×\omega+\psi(\Omega)))\)
(0)(1,1)(2)(1)(2,1)(3)(2)(3,1)(4) \(\psi(\Omega×\omega+\psi(\Omega×\omega+\psi(\Omega×\omega)))\)
(0)(1,1)(2)(1,1) \(\psi(\Omega×(\omega+1))\)
(0)(1,1)(2)(1,1)(2) \(\psi(\Omega×\omega×2)\)
(0)(1,1)(2)(2) \(\psi(\Omega×\psi(2))\)
(0)(1,1)(2)(3) \(\psi(\Omega×\psi(\omega))\)
(0)(1,1)(2)(3,1) \(\psi(\Omega×\psi(\Omega))\)
(0)(1,1)(2)(3,1)(1,1)(2)(3,1) \(\psi(\Omega×\psi(\Omega)×2)\)
(0)(1,1)(2)(3,1)(2) \(\psi(\Omega×\psi(\Omega+1))\)
(0)(1,1)(2)(3,1)(2)(3) \(\psi(\Omega×\psi(\Omega+\omega))\)
(0)(1,1)(2)(3,1)(2)(3,1) \(\psi(\Omega×\psi(\Omega+\psi(\Omega)))\)
(0)(1,1)(2)(3,1)(2)(3,1)(2) \(\psi(\Omega×\psi(\Omega+\psi(\Omega)+1))\)
(0)(1,1)(2)(3,1)(2)(3,1)(2)(3,1) \(\psi(\Omega×\psi(\Omega+\psi(\Omega)×2))\)
(0)(1,1)(2)(3,1)(3) \(\psi(\Omega×\psi(\Omega+\psi(\Omega+1)))\)
(0)(1,1)(2)(3,1)(3)(4,1) \(\psi(\Omega×\psi(\Omega+\psi(\Omega+\psi(\Omega))))\)
(0)(1,1)(2)(3,1)(3,1) \(\psi(\Omega×\psi(\Omega×2))\)
(0)(1,1)(2)(3,1)(4) \(\psi(\Omega×\psi(\Omega×\omega))\)
(0)(1,1)(2)(3,1)(4)(5) \(\psi(\Omega×\psi(\Omega×\psi(\omega)))\)
(0)(1,1)(2)(3,1)(4)(5,1) \(\psi(\Omega×\psi(\Omega×\psi(\Omega)))\)
(0)(1,1)(2,1) \(\psi(\Omega^2)\)
(0)(1,1)(2,1)(1) \(\psi(\Omega^2+1)\)
(0)(1,1)(2,1)(1)(2,1) \(\psi(\Omega^2+\psi(\Omega))\)
(0)(1,1)(2,1)(1)(2,1)(3) \(\psi(\Omega^2+\psi(\Omega×\omega))\)
(0)(1,1)(2,1)(1)(2,1)(3,1) \(\psi(\Omega^2+\psi(\Omega^2))\)
(0)(1,1)(2,1)(1)(2,1)(3,1)(2) \(\psi(\Omega^2+\psi(\Omega^2+1))\)
(0)(1,1)(2,1)(1)(2,1)(3,1)(2)(3,1) \(\psi(\Omega^2+\psi(\Omega^2+\psi(\Omega)))\)
(0)(1,1)(2,1)(1)(2,1)(3,1)(2)(3,1)(4,1) \(\psi(\Omega^2+\psi(\Omega^2+\psi(\Omega^2)))\)
(0)(1,1)(2,1)(1,1) \(\psi(\Omega^2+\Omega)\)
(0)(1,1)(2,1)(1,1)(1)(2,1)(3,1) \(\psi(\Omega^2+\Omega+\psi(\Omega^2))\)
(0)(1,1)(2,1)(1,1)(1)(2,1)(3,1)(2,1) \(\psi(\Omega^2+\Omega+\psi(\Omega^2+\Omega))\)
(0)(1,1)(2,1)(1,1)(1)(2,1)(3,1)(2,1)(2) \(\psi(\Omega^2+\Omega+\psi(\Omega^2+\Omega+1))\)
(0)(1,1)(2,1)(1,1)(1)(2,1)(3,1)(2,1)(2)(3,1) \(\psi(\Omega^2+\Omega+\psi(\Omega^2+\Omega+\psi(\Omega)))\)
(0)(1,1)(2,1)(1,1)(1,1) \(\psi(\Omega^2+\Omega×2)\)
(0)(1,1)(2,1)(1,1)(2) \(\psi(\Omega^2+\Omega×\omega)\)
(0)(1,1)(2,1)(1,1)(2)(1,1)(2) \(\psi(\Omega^2+\Omega×\omega×2)\)
(0)(1,1)(2,1)(1,1)(2)(2) \(\psi(\Omega^2+\Omega×\psi(2))\)
(0)(1,1)(2,1)(1,1)(2)(3) \(\psi(\Omega^2+\Omega×\psi(\omega))\)
(0)(1,1)(2,1)(1,1)(2)(3,1) \(\psi(\Omega^2+\Omega×\psi(\Omega))\)
(0)(1,1)(2,1)(1,1)(2)(3,1)(2) \(\psi(\Omega^2+\Omega×\psi(\Omega+1))\)
(0)(1,1)(2,1)(1,1)(2)(3,1)(2)(3,1) \(\psi(\Omega^2+\Omega×\psi(\Omega+\psi(\Omega)))\)
(0)(1,1)(2,1)(1,1)(2)(3,1)(3) \(\psi(\Omega^2+\Omega×\psi(\Omega+\psi(\Omega+1)))\)
(0)(1,1)(2,1)(1,1)(2)(3,1)(3)(4,1) \(\psi(\Omega^2+\Omega×\psi(\Omega+\psi(\Omega+\psi(\Omega))))\)
(0)(1,1)(2,1)(1,1)(2)(3,1)(3,1) \(\psi(\Omega^2+\Omega×\psi(\Omega×2))\)
(0)(1,1)(2,1)(1,1)(2)(3,1)(4) \(\psi(\Omega^2+\Omega×\psi(\Omega×\omega))\)
(0)(1,1)(2,1)(1,1)(2)(3,1)(4)(5,1) \(\psi(\Omega^2+\Omega×\psi(\Omega×\psi(\Omega)))\)
(0)(1,1)(2,1)(1,1)(2)(3,1)(4)(5,1)(6) \(\psi(\Omega^2+\Omega×\psi(\Omega×\psi(\Omega×\omega)))\)
(0)(1,1)(2,1)(1,1)(2)(3,1)(4,1) \(\psi(\Omega^2+\Omega×\psi(\Omega^2))\)
(0)(1,1)(2,1)(1,1)(2)(3,1)(4,1)(2) \(\psi(\Omega^2+\Omega×\psi(\Omega^2+1))\)
(0)(1,1)(2,1)(1,1)(2)(3,1)(4,1)(2)(3,1)(4,1) \(\psi(\Omega^2+\Omega×\psi(\Omega^2+\psi(\Omega^2)))\)
(0)(1,1)(2,1)(1,1)(2)(3,1)(4,1)(3) \(\psi(\Omega^2+\Omega×\psi(\Omega^2+\psi(\Omega^2+1)))\)
(0)(1,1)(2,1)(1,1)(2)(3,1)(4,1)(3,1) \(\psi(\Omega^2+\Omega×\psi(\Omega^2+\Omega))\)
(0)(1,1)(2,1)(1,1)(2)(3,1)(4,1)(3,1)(4) \(\psi(\Omega^2+\Omega×\psi(\Omega^2+\Omega×\omega))\)
(0)(1,1)(2,1)(1,1)(2)(3,1)(4,1)(3,1)(4)(5,1) \(\psi(\Omega^2+\Omega×\psi(\Omega^2+\Omega×\psi(\Omega)))\)
(0)(1,1)(2,1)(1,1)(2)(3,1)(4,1)(3,1)(4)(5,1)(6,1) \(\psi(\Omega^2+\Omega×\psi(\Omega^2+\Omega×\psi(\Omega^2)))\)
(0)(1,1)(2,1)(1,1)(2,1) \(\psi(\Omega^2×2)\)
(0)(1,1)(2,1)(1,1)(2,1)(1)(2,1)(3,1)(2,1)(3,1) \(\psi(\Omega^2×2+\psi(\Omega^2×2))\)
(0)(1,1)(2,1)(1,1)(2,1)(1,1) \(\psi(\Omega^2+\Omega×2)\)
(0)(1,1)(2,1)(1,1)(2,1)(1,1)(2) \(\psi(\Omega^2+\Omega×\omega)\)
(0)(1,1)(2,1)(1,1)(2,1)(1,1)(2)(3,1)(4,1) \(\psi(\Omega^2×2+\Omega×\psi(\Omega^2))\)
(0)(1,1)(2,1)(1,1)(2,1)(1,1)(2)(3,1)(4,1)(3,1)(4,1) \(\psi(\Omega^2×2+\Omega×\psi(\Omega^2×2))\)
(0)(1,1)(2,1)(1,1)(2,1)(1,1)(2,1) \(\psi(\Omega^2×3)\)
(0)(1,1)(2,1)(2) \(\psi(\Omega^2×\omega)\)
(0)(1,1)(2,1)(2)(1)(2,1)(3,1)(3) \(\psi(\Omega^2×\omega+\psi(\Omega^2×\omega))\)
(0)(1,1)(2,1)(2)(1,1) \(\psi(\Omega^2×\omega+\Omega)\)
(0)(1,1)(2,1)(2)(1,1)(2,1) \(\psi(\Omega^2×(\omega+1))\)
(0)(1,1)(2,1)(2)(1,1)(2,1)(2) \(\psi(\Omega^2×\omega×2)\)
(0)(1,1)(2,1)(2)(2) \(\psi(\Omega^2×\psi(2))\)
(0)(1,1)(2,1)(2)(3) \(\psi(\Omega^2×\psi(\omega))\)
(0)(1,1)(2,1)(2)(3,1) \(\psi(\Omega^2×\psi(\Omega))\)
(0)(1,1)(2,1)(2)(3,1)(3,1) \(\psi(\Omega^2×\psi(\Omega×2))\)
(0)(1,1)(2,1)(2)(3,1)(4) \(\psi(\Omega^2×\psi(\Omega×\omega))\)
(0)(1,1)(2,1)(2)(3,1)(4)(5,1) \(\psi(\Omega^2×\psi(\Omega×\psi(\Omega)))\)
(0)(1,1)(2,1)(2)(3,1)(4,1) \(\psi(\Omega^2×\psi(\Omega^2))\)
(0)(1,1)(2,1)(2)(3,1)(4,1)(1,1)(2,1)(2)(3,1)(4,1) \(\psi(\Omega^2×\psi(\Omega^2)×2)\)
(0)(1,1)(2,1)(2)(3,1)(4,1)(2) \(\psi(\Omega^2×\psi(\Omega^2+1))\)
(0)(1,1)(2,1)(2)(3,1)(4,1)(2)(3,1)(4,1) \(\psi(\Omega^2×\psi(\Omega^2+\psi(\Omega^2)))\)
(0)(1,1)(2,1)(2)(3,1)(4,1)(3) \(\psi(\Omega^2×\psi(\Omega^2+\psi(\Omega^2+1)))\)
(0)(1,1)(2,1)(2)(3,1)(4,1)(3,1) \(\psi(\Omega^2×\psi(\Omega^2+\Omega))\)
(0)(1,1)(2,1)(2)(3,1)(4,1)(3,1)(4) \(\psi(\Omega^2×\psi(\Omega^2+\Omega×\omega))\)
(0)(1,1)(2,1)(2)(3,1)(4,1)(3,1)(4)(5,1)(6,1)(5,1) \(\psi(\Omega^2×\psi(\Omega^2+\Omega×\psi(\Omega^2+\Omega)))\)
(0)(1,1)(2,1)(2)(3,1)(4,1)(3,1)(4,1) \(\psi(\Omega^2×\psi(\Omega^2×2))\)
(0)(1,1)(2,1)(2)(3,1)(4,1)(4) \(\psi(\Omega^2×\psi(\Omega^2×\omega))\)
(0)(1,1)(2,1)(2,1) \(\psi(\Omega^3)=η0\)
(0)(1,1)(2,1)(2,1)(1,1) \(\psi(\Omega^3+\Omega)\)
(0)(1,1)(2,1)(2,1)(1,1)(2)(3,1)(4,1)(4,1) \(\psi(\Omega^3+\Omega×\psi(\Omega^3))\)
(0)(1,1)(2,1)(2,1)(1,1)(2,1) \(\psi(\Omega^3+\Omega^2)\)
(0)(1,1)(2,1)(2,1)(1,1)(2,1)(2) \(\psi(\Omega^3+\Omega^2×\omega)\)
(0)(1,1)(2,1)(2,1)(1,1)(2,1)(2)(3,1)(4,1)(4,1) \(\psi(\Omega^3+\Omega^2×\psi(\Omega^3))\)
(0)(1,1)(2,1)(2,1)(1,1)(2,1)(2)(3,1)(4,1)(4,1)(3,1)(4,1)(4) \(\psi(\Omega^3+\Omega^2×\psi(\Omega^3+\Omega^2×\omega))\)
(0)(1,1)(2,1)(2,1)(1,1)(2,1)(2,1) \(\psi(\Omega^3×2)\)
(0)(1,1)(2,1)(2,1)(2) \(\psi(\Omega^3×\omega)\)
(0)(1,1)(2,1)(2,1)(2)(3,1) \(\psi(\Omega^3×\psi(\Omega))\)
(0)(1,1)(2,1)(2,1)(2)(3,1)(4,1)(4,1) \(\psi(\Omega^3×\psi(\Omega^3))\)
(0)(1,1)(2,1)(2,1)(2,1) \(\psi(\Omega^4)\)
(0)(1,1)(2,1)(3) \(\psi(\Omega^\omega)=φ(\omega,0)\)
(0)(1,1)(2,1)(3)(1) \(\psi(\Omega^\omega+1)\)
(0)(1,1)(2,1)(3)(1)(2,1)(3,1)(4) \(\psi(\Omega^\omega+\psi(\Omega^\omega))\)
(0)(1,1)(2,1)(3)(1,1) \(\psi(\Omega^\omega+\Omega)\)
(0)(1,1)(2,1)(3)(1,1)(2,1) \(\psi(\Omega^\omega+\Omega^2)\)
(0)(1,1)(2,1)(3)(1,1)(2,1)(3) \(\psi(\Omega^\omega×2)\)
(0)(1,1)(2,1)(3)(2) \(\psi(\Omega^\omega×\omega)\)
(0)(1,1)(2,1)(3)(2)(3,1) \(\psi(\Omega^\omega×\psi(\Omega))\)
(0)(1,1)(2,1)(3)(2)(3,1)(4,1)(5) \(\psi(\Omega^\omega×\psi(\Omega^\omega))\)
(0)(1,1)(2,1)(3)(2)(3,1)(4,1)(5)(4) \(\psi(\Omega^\omega×\psi(\Omega^\omega×\omega))\)
(0)(1,1)(2,1)(3)(2,1) \(\psi(\Omega^{\omega+1})\)
(0)(1,1)(2,1)(3)(2,1)(3) \(\psi(\Omega^{\omega×2})\)
(0)(1,1)(2,1)(3)(3) \(\psi(\Omega^{\psi(2)})\)
(0)(1,1)(2,1)(3)(4) \(\psi(\Omega^{\psi(\omega)})\)
(0)(1,1)(2,1)(3)(4,1) \(\psi(\Omega^{\psi(\Omega)})\)
(0)(1,1)(2,1)(3)(4,1)(3)(4,1) \(\psi(\Omega^{\psi(\Omega+\psi(\Omega))})\)
(0)(1,1)(2,1)(3)(4,1)(4,1) \(\psi(\Omega^{\psi(\Omega×2)})\)
(0)(1,1)(2,1)(3)(4,1)(5,1) \(\psi(\Omega^{\psi(\Omega^2)})\)
(0)(1,1)(2,1)(3)(4,1)(5,1)(6) \(\psi(\Omega^{\psi(\Omega^\omega)})\)
(0)(1,1)(2,1)(3,1) \(\psi(\Omega^\Omega)=\Gamma_0\)
(0)(1,1)(2,1)(3,1)(1) \(\psi(\Omega^\Omega+1)\)
(0)(1,1)(2,1)(3,1)(1)(2,1)(3,1)(4,1) \(\psi(\Omega^\Omega+\psi(\Omega^\Omega))\)
(0)(1,1)(2,1)(3,1)(1)(2,1)(3,1)(4,1)(2) \(\psi(\Omega^\Omega+\psi(\Omega^\Omega+1))\)
(0)(1,1)(2,1)(3,1)(1,1) \(\psi(\Omega^\Omega+\Omega)\)
(0)(1,1)(2,1)(3,1)(1,1)(2) \(\psi(\Omega^\Omega+\Omega×\omega)\)
(0)(1,1)(2,1)(3,1)(1,1)(2)(3,1)(4,1)(5,1) \(\psi(\Omega^\Omega+\Omega×\psi(\Omega^\Omega))\)
(0)(1,1)(2,1)(3,1)(1,1)(2,1) \(\psi(\Omega^\Omega+\Omega^2)\)
(0)(1,1)(2,1)(3,1)(1,1)(2,1)(2)(3,1)(4,1)(5,1)(3,1)(4,1) \(\psi(\Omega^\Omega+\Omega^2×\psi(\Omega^\Omega+\Omega^2))\)
(0)(1,1)(2,1)(3,1)(1,1)(2,1)(2,1) \(\psi(\Omega^\Omega+\Omega^3)\)
(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3) \(\psi(\Omega^\Omega+\Omega^\omega)\)
(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(4,1) \(\psi(\Omega^\Omega+\Omega^{\psi(\Omega)})\)
(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(4,1)(5,1)(6,1) \(\psi(\Omega^\Omega+\Omega^{\psi(\Omega^\Omega)})\)
(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(4,1)(5,1)(6,1)(3) \(\psi(\Omega^\Omega+\Omega^{\psi(\Omega^\Omega+1)})\)
(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(4,1)(5,1)(6,1)(4,1) \(\psi(\Omega^\Omega+\Omega^{\psi(\Omega^\Omega+\Omega)})\)
(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(4,1)(5,1)(6,1)(4,1)(5,1)(6) \(\psi(\Omega^\Omega+\Omega^{\psi(\Omega^\Omega+\Omega^\omega)})\)
(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(4,1)(5,1)(6,1)(4,1)(5,1)(6)(7,1) \(\psi(\Omega^\Omega+\Omega^{\psi(\Omega^\Omega+\Omega^{\psi(\Omega)})})\)
(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3,1) \(\psi(\Omega^\Omega×2)\)
(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3,1)(1,1)(2,1)(3) \(\psi(\Omega^\Omega×2+\Omega^\omega)\)
(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(4,1)(5,1)(6,1)(4,1)(5,1)(6,1) \(\psi(\Omega^\Omega×2+\Omega^{\psi(\Omega^\Omega×2)})\)
(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3,1)(1,1)(2,1)(3,1) \(\psi(\Omega^\Omega×3)\)
(0)(1,1)(2,1)(3,1)(2) \(\psi(\Omega^\Omega×\omega)\)
(0)(1,1)(2,1)(3,1)(2)(3,1)(4,1)(5,1) \(\psi(\Omega^\Omega×\psi(\Omega^\Omega))\)
(0)(1,1)(2,1)(3,1)(2,1) \(\psi(\Omega^{\Omega+1})\)
(0)(1,1)(2,1)(3,1)(2,1)(1,1)(2,1)(3,1) \(\psi(\Omega^{\Omega+1}+\Omega^\Omega)\)
(0)(1,1)(2,1)(3,1)(2,1)(1,1)(2,1)(3,1)(2) \(\psi(\Omega^{\Omega+1}+\Omega^\Omega×\omega)\)
(0)(1,1)(2,1)(3,1)(2,1)(1,1)(2,1)(3,1)(2)(3,1)(4,1)(5,1) \(\psi(\Omega^{\Omega+1}+\Omega^\Omega×\psi(\Omega^\Omega))\)
(0)(1,1)(2,1)(3,1)(2,1)(1,1)(2,1)(3,1)(2)(3,1)(4,1)(5,1)(4,1) \(\psi(\Omega^{\Omega+1}+\Omega^\Omega×\psi(\Omega^{\Omega+1}))\)
(0)(1,1)(2,1)(3,1)(2,1)(1,1)(2,1)(3,1)(2,1) \(\psi(\Omega^{\Omega+1}×2)\)
(0)(1,1)(2,1)(3,1)(2,1)(2) \(\psi(\Omega^{\Omega+1}×\omega)\)
(0)(1,1)(2,1)(3,1)(2,1)(2)(3) \(\psi(\Omega^{\Omega+1}×\psi(\omega))\)
(0)(1,1)(2,1)(3,1)(2,1)(2)(3,1)(4,1)(5,1)(4,1) \(\psi(\Omega^{\Omega+1}×\psi(\Omega^{\Omega+1}))\)
(0)(1,1)(2,1)(3,1)(2,1)(2,1) \(\psi(\Omega^{\Omega+2})\)
(0)(1,1)(2,1)(3,1)(2,1)(3) \(\psi(\Omega^{\Omega+\omega})\)
(0)(1,1)(2,1)(3,1)(2,1)(3)(4,1)(5,1)(6,1)(5,1)(6) \(\psi(\Omega^{\Omega+\psi(\Omega^{\Omega+\omega})})\)
(0)(1,1)(2,1)(3,1)(2,1)(3,1) \(\psi(\Omega^{\Omega×2})\)
(0)(1,1)(2,1)(3,1)(3) \(\psi(\Omega^{\Omega×\omega})\)
(0)(1,1)(2,1)(3,1)(3)(4,1)(5,1)(6,1)(6) \(\psi(\Omega^{\Omega×\psi(\Omega^{\Omega×\omega})})\)
(0)(1,1)(2,1)(3,1)(3,1) \(\psi(\Omega^{\Omega^2})\)
(0)(1,1)(2,1)(3,1)(3,1)(1,1)(2,1)(3,1) \(\psi(\Omega^{\Omega^2}+\Omega^\Omega)\)
(0)(1,1)(2,1)(3,1)(3,1)(1,1)(2,1)(3,1)(3) \(\psi(\Omega^{\Omega^2}+\Omega^{\Omega×\omega})\)
(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3,1)(3)(4,1)(5,1)(6,1)(6,1) \(\psi(\Omega^{\Omega^2}+\Omega^{\Omega×\psi(\Omega^{\Omega^2})})\)
(0)(1,1)(2,1)(3,1)(3,1)(1,1)(2,1)(3,1)(3,1) \(\psi(\Omega^{\Omega^2}×2)\)
(0)(1,1)(2,1)(3,1)(3,1)(2) \(\psi(\Omega^{\Omega^2}×\omega)\)
(0)(1,1)(2,1)(3,1)(3,1)(2)(3,1)(4,1)(5,1)(5,1)(4) \(\psi(\Omega^{\Omega^2}×\psi(\Omega^{\Omega^2}×\omega))\)
(0)(1,1)(2,1)(3,1)(3,1)(2,1) \(\psi(\Omega^{\Omega^2+1})\)
(0)(1,1)(2,1)(3,1)(3,1)(2,1)(3) \(\psi(\Omega^{\Omega^2+\omega})\)
(0)(1,1)(2,1)(3,1)(3,1)(2,1)(3)(4,1)(5,1)(6,1)(6,1) \(\psi(\Omega^{\Omega^2+\psi(\Omega^{\Omega^2})})\)
(0)(1,1)(2,1)(3,1)(3,1)(2,1)(3,1) \(\psi(\Omega^{\Omega^2+\Omega})\)
(0)(1,1)(2,1)(3,1)(3,1)(2,1)(3,1)(3) \(\psi(\Omega^{\Omega^2+\Omega×\omega})\)
(0)(1,1)(2,1)(3,1)(3,1)(2,1)(3,1)(3)(4,1)(5,1)(6,1)(6,1) \(\psi(\Omega^{\Omega^2+\Omega×\psi(\Omega^{\Omega^2})})\)
(0)(1,1)(2,1)(3,1)(3,1)(2,1)(3,1)(3,1) \(\psi(\Omega^{\Omega^2×2})\)
(0)(1,1)(2,1)(3,1)(3,1)(3) \(\psi(\Omega^{\Omega^2×\omega})\)
(0)(1,1)(2,1)(3,1)(3,1)(3)(4,1)(5,1)(6,1)(6,1) \(\psi(\Omega^{\Omega^2×\psi(\Omega^{\Omega^2})})\)
(0)(1,1)(2,1)(3,1)(3,1)(3,1) \(\psi(\Omega^{\Omega^3})\)
(0)(1,1)(2,1)(3,1)(4) \(\psi(\Omega^{\Omega^\omega})=SVO\)
(0)(1,1)(2,1)(3,1)(4)(1,1)(2,1)(3,1)(4) \(\psi(\Omega^{\Omega^\omega}×2)\)
(0)(1,1)(2,1)(3,1)(4)(2,1) \(\psi(\Omega^{\Omega^\omega+1})\)
(0)(1,1)(2,1)(3,1)(4)(2,1)(3,1)(4) \(\psi(\Omega^{\Omega^\omega×2})\)
(0)(1,1)(2,1)(3,1)(4)(3) \(\psi(\Omega^{\Omega^\omega×\omega})\)
(0)(1,1)(2,1)(3,1)(4)(3,1) \(\psi(\Omega^{\Omega^{\omega+1}})\)
(0)(1,1)(2,1)(3,1)(4)(4) \(\psi(\Omega^{\Omega^{\psi(2)}})\)
(0)(1,1)(2,1)(3,1)(4)(5,1)(6,1)(7,1)(8) \(\psi(\Omega^{\Omega^{\psi(\Omega^{\Omega^\omega})}})\)
(0)(1,1)(2,1)(3,1)(4,1) \(\psi(\Omega^{\Omega^\Omega})=LVO\)
(0)(1,1)(2,1)(3,1)(4,1)(1)(2,1)(3,1)(4,1)(5,1) \(\psi(\Omega^{\Omega^\Omega}+\psi(\Omega^{\Omega^\Omega}))\)
(0)(1,1)(2,1)(3,1)(4,1)(1,1) \(\psi(\Omega^{\Omega^\Omega}+\Omega)\)
(0)(1,1)(2,1)(3,1)(4,1)(1,1)(2)(3,1)(4,1)(5,1)(6,1) \(\psi(\Omega^{\Omega^\Omega}+\Omega×\psi(\Omega^{\Omega^\Omega}))\)
(0)(1,1)(2,1)(3,1)(4,1)(1,1)(2,1) \(\psi(\Omega^{\Omega^\Omega}+\Omega^2)\)
(0)(1,1)(2,1)(3,1)(4,1)(1,1)(2,1)(3)(4,1)(5,1)(6,1)(7,1) \(\psi(\Omega^{\Omega^\Omega}+\Omega^\psi(\Omega^{\Omega^\Omega}))\)
(0)(1,1)(2,1)(3,1)(4,1)(1,1)(2,1)(3,1) \(\psi(\Omega^{\Omega^\Omega}+\Omega^\Omega)\)
(0)(1,1)(2,1)(3,1)(4,1)(1,1)(2,1)(3,1)(2)(3,1)(4,1)(5,1)(6,1) \(\psi(\Omega^{\Omega^\Omega}+\Omega^\Omega×\psi(\Omega^{\Omega^\Omega}))\)
(0)(1,1)(2,1)(3,1)(4,1)(1,1)(2,1)(3,1)(2,1)(3,1) \(\psi(\Omega^{\Omega^\Omega}+\Omega^{\Omega×2})\)
(0)(1,1)(2,1)(3,1)(4,1)(1,1)(2,1)(3,1)(3) \(\psi(\Omega^{\Omega^\Omega}+\Omega^{\Omega×\omega})\)
(0)(1,1)(2,1)(3,1)(4,1)(1,1)(2,1)(3,1)(3)(4,1)(5,1)(6,1)(7,1) \(\psi(\Omega^{\Omega^\Omega}+\Omega^{\Omega×\psi(\Omega^{\Omega^\Omega})})\)
(0)(1,1)(2,1)(3,1)(4,1)(1,1)(2,1)(3,1)(3,1) \(\psi(\Omega^{\Omega^\Omega}+\Omega^{\Omega^2})\)
(0)(1,1)(2,1)(3,1)(4,1)(1,1)(2,1)(3,1)(4)(5,1)(6,1)(7,1)(8,1) \(\psi(\Omega^{\Omega^\Omega}+\Omega^{\Omega^{\psi(\Omega^{\Omega^\Omega})}})\)
(0)(1,1)(2,1)(3,1)(4,1)(1,1)(2,1)(3,1)(4,1) \(\psi(\Omega^{\Omega^\Omega}×2)\)
(0)(1,1)(2,1)(3,1)(4,1)(2)(3,1)(4,1)(5,1)(6,1) \(\psi(\Omega^{\Omega^\Omega}×\psi(\Omega^{\Omega^\Omega}))\)
(0)(1,1)(2,1)(3,1)(4,1)(2,1) \(\psi(\Omega^{\Omega^\Omega+1})\)
(0)(1,1)(2,1)(3,1)(4,1)(2,1)(3)(4,1)(5,1)(6,1)(7,1) \(\psi(\Omega^{\Omega^\Omega+\psi(\Omega^{\Omega^\Omega})})\)
(0)(1,1)(2,1)(3,1)(4,1)(2,1)(3,1) \(\psi(\Omega^{\Omega^\Omega+\Omega})\)
(0)(1,1)(2,1)(3,1)(4,1)(2,1)(3,1)(4) \(\psi(\Omega^{\Omega^\Omega+\Omega^\omega})\)
(0)(1,1)(2,1)(3,1)(4,1)(2,1)(3,1)(4)(5,1)(6,1)(7,1)(8,1) \(\psi(\Omega^{\Omega^\Omega+\Omega^\psi(\Omega^{\Omega^\Omega})})\)
(0)(1,1)(2,1)(3,1)(4,1)(2,1)(3,1)(4,1) \(\psi(\Omega^{\Omega^\Omega×2})\)
(0)(1,1)(2,1)(3,1)(4,1)(3) \(\psi(\Omega^{\Omega^\Omega×\omega})\)
(0)(1,1)(2,1)(3,1)(4,1)(3,1) \(\psi(\Omega^{\Omega^{\Omega+1}})\)
(0)(1,1)(2,1)(3,1)(4,1)(3,1)(4) \(\psi(\Omega^{\Omega^{\Omega+\omega}})\)
(0)(1,1)(2,1)(3,1)(4,1)(3,1)(4)(5,1)(6,1)(7,1)(8,1) \(\psi(\Omega^{\Omega^{\Omega+\psi(\Omega^{\Omega^\Omega})}})\)
(0)(1,1)(2,1)(3,1)(4,1)(3,1)(4,1) \(\psi(\Omega^{\Omega^{\Omega×2}})\)
(0)(1,1)(2,1)(3,1)(4,1)(4,1) \(\psi(\Omega^{\Omega^{\Omega^2}})\)
(0)(1,1)(2,1)(3,1)(4,1)(4,1)(3,1) \(\psi(\Omega^{\Omega^{\Omega^2+1}})\)
(0)(1,1)(2,1)(3,1)(4,1)(4,1)(3,1)(4,1)(4,1) \(\psi(\Omega^{\Omega^{\Omega^2×2}})\)
(0)(1,1)(2,1)(3,1)(4,1)(4,1)(4,1) \(\psi(\Omega^{\Omega^{\Omega^3}})\)
(0)(1,1)(2,1)(3,1)(4,1)(5,1) \(\psi(\Omega^{\Omega^{\Omega^\Omega}})\)
(0)(1,1)(2,1)(3,1)(4,1)(5,1)(3,1)(4,1)(5,1) \(\psi(\Omega^{\Omega^{\Omega^\Omega×2}})\)
(0)(1,1)(2,1)(3,1)(4,1)(5,1)(4,1) \(\psi(\Omega^{\Omega^{\Omega^{\Omega+1}}})\)
(0)(1,1)(2,1)(3,1)(4,1)(5,1)(4,1)(5,1) \(\psi(\Omega^{\Omega^{\Omega^{\Omega×2}}})\)
(0)(1,1)(2,1)(3,1)(4,1)(5,1)(5,1) \(\psi(\Omega^{\Omega^{\Omega^{\Omega^2}}})\)
(0)(1,1)(2,1)(3,1)(4,1)(5,1)(6,1) \(\psi(\Omega^{\Omega^{\Omega^{\Omega^\Omega}}})\)
(0)(1,1)(2,2) \(\psi(\Omega_2)=BHO\)
(0)(1,1)(2,2)(1) \(\psi(\Omega_2+1)\)
(0)(1,1)(2,2)(1)(2,1) \(\psi(\Omega_2+\psi(\Omega))\)
(0)(1,1)(2,2)(1)(2,1)(3,2) \(\psi(\Omega_2+\psi(\Omega_2))\)
(0)(1,1)(2,2)(1)(2,1)(3,2)(2) \(\psi(\Omega_2+\psi(\Omega_2+1))\)
(0)(1,1)(2,2)(1)(2,1)(3,2)(2)(3,1)(4,2) \(\psi(\Omega_2+\psi(\Omega_2+\psi(\Omega_2)))\)
(0)(1,1)(2,2)(1,1) \(\psi(\Omega_2+\Omega)\)
(0)(1,1)(2,2)(1,1)(2) \(\psi(\Omega_2+\Omega×\omega)\)
(0)(1,1)(2,2)(1,1)(2)(3,1)(4,2) \(\psi(\Omega_2+\Omega×\psi(\Omega_2))\)
(0)(1,1)(2,2)(1,1)(2,1) \(\psi(\Omega_2+\Omega^2)\)
(0)(1,1)(2,2)(1,1)(2,2) \(\psi(\Omega_2+\psi_1(\Omega_2))\)
(0)(1,1)(2,2)(2) \(\psi(\Omega_2+\psi_1(\Omega_2+1))\)
(0)(1,1)(2,2)(2)(3,1)(4,2) \(\psi(\Omega_2+\psi_1(\Omega_2+\psi(\Omega_2)))\)
(0)(1,1)(2,2)(2,1) \(\psi(\Omega_2+\psi_1(\Omega_2+\Omega))\)
(0)(1,1)(2,2)(2,1)(1,1)(2,2) \(\psi(\Omega_2+\psi_1(\Omega_2+\Omega)+\psi_1(\Omega_2))\)
(0)(1,1)(2,2)(2,1)(1,1)(2,2)(2)(3,1)(4,2)(4,1) \(\psi(\Omega_2+\psi_1(\Omega_2+\Omega)+\psi_1(\Omega_2+\psi(\Omega_2+\psi_1(\Omega_2+\Omega))))\)
(0)(1,1)(2,2)(2,1)(1,1)(2,2)(2,1) \(\psi(\Omega_2+\psi_1(\Omega_2+\Omega)×2)\)
(0)(1,1)(2,2)(2,1)(2) \(\psi(\Omega_2+\psi_1(\Omega_2+\Omega+1))\)
(0)(1,1)(2,2)(2,1)(2,1) \(\psi(\Omega_2+\psi_1(\Omega_2+\Omega×2))\)
(0)(1,1)(2,2)(2,1)(3) \(\psi(\Omega_2+\psi_1(\Omega_2+\Omega×\omega))\)
(0)(1,1)(2,2)(2,1)(3)(4,1)(5,2) \(\psi(\Omega_2+\psi_1(\Omega_2+\Omega×\psi(\Omega_2)))\)
(0)(1,1)(2,2)(2,1)(3,1) \(\psi(\Omega_2+\psi_1(\Omega_2+\Omega^2))\)
(0)(1,1)(2,2)(2,1)(3,2) \(\psi(\Omega_2+\psi_1(\Omega_2+\psi_1(\Omega_2)))\)
(0)(1,1)(2,2)(2,1)(3,2)(3) \(\psi(\Omega_2+\psi_1(\Omega_2+\psi_1(\Omega_2+1)))\)
(0)(1,1)(2,2)(2,1)(3,2)(3,1) \(\psi(\Omega_2+\psi_1(\Omega_2+\psi_1(\Omega_2+\Omega)))\)
(0)(1,1)(2,2)(2,1)(3,2)(3,1)(4,2) \(\psi(\Omega_2+\psi_1(\Omega_2+\psi_1(\Omega_2+\psi_1(\Omega_2))))\)
(0)(1,1)(2,2)(2,2) \(\psi(\Omega_2×2)\)
(0)(1,1)(2,2)(2,2)(1,1)(2,2) \(\psi(\Omega_2×2+\psi_1(\Omega_2))\)
(0)(1,1)(2,2)(2,2)(1,1)(2,2)(2,2) \(\psi(\Omega_2×2+\psi_1(\Omega_2×2))\)
(0)(1,1)(2,2)(2,2)(2) \(\psi(\Omega_2×2+\psi_1(\Omega_2×2+1))\)
(0)(1,1)(2,2)(2,2)(2,1) \(\psi(\Omega_2×2+\psi_1(\Omega_2×2+\Omega))\)
(0)(1,1)(2,2)(2,2)(2,1)(3,2)(3,2) \(\psi(\Omega_2×2+\psi_1(\Omega_2×2+\psi_1(\Omega_2×2)))\)
(0)(1,1)(2,2)(2,2)(2,2) \(\psi(\Omega_2×3)\)
(0)(1,1)(2,2)(3) \(\psi(\Omega_2×\omega)\)
(0)(1,1)(2,2)(3)(2,2)(3) \(\psi(\Omega_2×\omega×2)\)
(0)(1,1)(2,2)(3)(4,1) \(\psi(\Omega_2×\psi(\Omega))\)
(0)(1,1)(2,2)(3)(4,1)(5,2) \(\psi(\Omega_2×\psi(\Omega_2))\)
(0)(1,1)(2,2)(3,1) \(\psi(\Omega_2×\Omega)\)
(0)(1,1)(2,2)(3,1)(2,2)(3,1) \(\psi(\Omega_2×\Omega×2)\)
(0)(1,1)(2,2)(3,1)(3,1) \(\psi(\Omega_2×\Omega^2)\)
(0)(1,1)(2,2)(3,1)(4,2) \(\psi(\Omega_2×\psi_1(\Omega_2))\)
(0)(1,1)(2,2)(3,1)(4,2)(5) \(\psi(\Omega_2×\psi_1(\Omega_2×\omega))\)
(0)(1,1)(2,2)(3,1)(4,2)(5,1) \(\psi(\Omega_2×\psi_1(\Omega_2×\Omega))\)
(0)(1,1)(2,2)(3,2) \(\psi(\Omega_2^2)=\psi(ζ(\Omega+1))\)
(0)(1,1)(2,2)(3,2)(1,1)(2,2) \(\psi(\Omega_2^2+\psi_1(\Omega_2))\)
(0)(1,1)(2,2)(3,2)(1,1)(2,2)(3,2) \(\psi(\Omega_2^2+\psi_1(\Omega_2^2))\)
(0)(1,1)(2,2)(3,2)(2) \(\psi(\Omega_2^2+\psi_1(\Omega_2^2+1))\)
(0)(1,1)(2,2)(3,2)(2)(3,1)(4,2)(5,2) \(\psi(\Omega_2^2+\psi_1(\Omega_2^2+\psi(\Omega_2^2)))\)
(0)(1,1)(2,2)(3,2)(2,1) \(\psi(\Omega_2^2+\psi_1(\Omega_2^2+\Omega))\)
(0)(1,1)(2,2)(3,2)(2,1)(1,1)(2,2)(3,2)(2)(3,1)(4,2)(5,2)(4,1) \(\psi(\Omega_2^2+\psi_1(\Omega_2^2+\Omega)+\psi_1(\Omega_2^2+\psi(\Omega_2^2+\psi_1(\Omega_2^2+\Omega))))\)
(0)(1,1)(2,2)(3,2)(2,1)(2) \(\psi(\Omega_2^2+\psi_1(\Omega_2^2+\Omega+1))\)
(0)(1,1)(2,2)(3,2)(2,1)(2,1) \(\psi(\Omega_2^2+\psi_1(\Omega_2^2+\Omega×2))\)
(0)(1,1)(2,2)(3,2)(2,1)(3,2) \(\psi(\Omega_2^2+\psi_1(\Omega_2^2+\psi_1(\Omega_2)))\)
(0)(1,1)(2,2)(3,2)(2,1)(3,2)(4,2) \(\psi(\Omega_2^2+\psi_1(\Omega_2^2+\psi_1(\Omega_2^2)))\)
(0)(1,1)(2,2)(3,2)(2,2) \(\psi(\Omega_2^2+\Omega_2)\)
(0)(1,1)(2,2)(3,2)(2,2)(3) \(\psi(\Omega_2^2+\Omega_2×\omega)\)
(0)(1,1)(2,2)(3,2)(2,2)(3,1) \(\psi(\Omega_2^2+\Omega_2×\Omega)\)
(0)(1,1)(2,2)(3,2)(2,2)(3,1)(4,2)(5,2) \(\psi(\Omega_2^2+\Omega_2×\psi_1(\Omega_2^2))\)
(0)(1,1)(2,2)(3,2)(2,2)(3,2) \(\psi(\Omega_2^2×2)\)
(0)(1,1)(2,2)(3,2)(3) \(\psi(\Omega_2^2×\omega)\)
(0)(1,1)(2,2)(3,2)(3)(4,1)(5,2)(6,2) \(\psi(\Omega_2^2×\psi(\Omega_2^2))\)
(0)(1,1)(2,2)(3,2)(3,1) \(\psi(\Omega_2^2×\Omega)\)
(0)(1,1)(2,2)(3,2)(3,1)(4,2) \(\psi(\Omega_2^2×\psi_1(\Omega_2))\)
(0)(1,1)(2,2)(3,2)(3,2) \(\psi(\Omega_2^3)\)
(0)(1,1)(2,2)(3,2)(4) \(\psi(\Omega_2^\omega)\)
(0)(1,1)(2,2)(3,2)(4)(1,1)(2,2)(3,2)(4) \(\psi(\Omega_2^\omega+\psi_1(\Omega_2^\omega))\)
(0)(1,1)(2,2)(3,2)(4)(2) \(\psi(\Omega_2^\omega+\psi_1(\Omega_2^\omega+1))\)
(0)(1,1)(2,2)(3,2)(4)(2,1) \(\psi(\Omega_2^\omega+\psi_1(\Omega_2^\omega+\Omega))\)
(0)(1,1)(2,2)(3,2)(4)(2,1)(3,2)(4,2)(5) \(\psi(\Omega_2^\omega+\psi_1(\Omega_2^\omega+\psi_1(\Omega_2^\omega)))\)
(0)(1,1)(2,2)(3,2)(4)(2,2) \(\psi(\Omega_2^\omega+\Omega_2)\)
(0)(1,1)(2,2)(3,2)(4)(2,2)(3,1) \(\psi(\Omega_2^\omega+\Omega_2×\Omega)\)
(0)(1,1)(2,2)(3,2)(4)(2,2)(3,2)(4) \(\psi(\Omega_2^\omega×2)\)
(0)(1,1)(2,2)(3,2)(4)(3,1) \(\psi(\Omega_2^\omega×\Omega)\)
(0)(1,1)(2,2)(3,2)(4)(3,2) \(\psi(\Omega_2^{\omega+1})\)
(0)(1,1)(2,2)(3,2)(4)(4) \(\psi(\Omega_2^{\psi(2)})\)
(0)(1,1)(2,2)(3,2)(4,1) \(\psi(\Omega_2^\Omega)\)
(0)(1,1)(2,2)(3,2)(4,1)(5,2) \(\psi(\Omega_2^{\psi_1(\Omega_2)})\)
(0)(1,1)(2,2)(3,2)(4,1)(5,2)(6,2) \(\psi(\Omega_2^{\psi_1(\Omega_2^2)})\)
(0)(1,1)(2,2)(3,2)(4,2) \(\psi(\Omega_2^{\Omega_2})\)
(0)(1,1)(2,2)(3,2)(4,2)(2,2)(3,2)(4,1)(5,2)(6,2)(7,2) \(\psi(\Omega_2^{\Omega_2}+\Omega_2^{\psi_1(\Omega_2^{\Omega_2})})\)
(0)(1,1)(2,2)(3,2)(4,2)(2,2)(3,2)(4,2) \(\psi(\Omega_2^{\Omega_2}×2)\)
(0)(1,1)(2,2)(3,2)(4,2)(3,1) \(\psi(\Omega_2^{\Omega_2}×\Omega)\)
(0)(1,1)(2,2)(3,2)(4,2)(3,2) \(\psi(\Omega_2^{\Omega_2+1})\)
(0)(1,1)(2,2)(3,2)(4,2)(3,2)(4,1) \(\psi(\Omega_2^{\Omega_2+\Omega})\)
(0)(1,1)(2,2)(3,2)(4,2)(3,2)(4,2) \(\psi(\Omega_2^{\Omega_2×2})\)
(0)(1,1)(2,2)(3,2)(4,2)(4,1) \(\psi(\Omega_2^{\Omega_2×\Omega})\)
(0)(1,1)(2,2)(3,2)(4,2)(4,2) \(\psi(\Omega_2^{\Omega_2^2})\)
(0)(1,1)(2,2)(3,2)(4,2)(5) \(\psi(\Omega_2^{\Omega_2^\omega})\)
(0)(1,1)(2,2)(3,2)(4,2)(5,2) \(\psi(\Omega_2^{\Omega_2^{\Omega_2}})\)
(0)(1,1)(2,2)(3,3) \(\psi(\Omega_3)\)
(0)(1,1)(2,2)(3,3)(1,1) \(\psi(\Omega_3+\Omega)\)
(0)(1,1)(2,2)(3,3)(1,1)(2,2)(3,3) \(\psi(\Omega_3+\psi_1(\Omega_3))\)
(0)(1,1)(2,2)(3,3)(2,1) \(\psi(\Omega_3+\psi_1(\Omega_3+\Omega))\)
(0)(1,1)(2,2)(3,3)(2,2) \(\psi(\Omega_3+\Omega_2)\)
(0)(1,1)(2,2)(3,3)(2,2)(3,3) \(\psi(\Omega_3+\psi_2(\Omega_3))\)
(0)(1,1)(2,2)(3,3)(3) \(\psi(\Omega_3+\psi_2(\Omega_3+1))\)
(0)(1,1)(2,2)(3,3)(3,2)(4,3) \(\psi(\Omega_3+\psi_2(\Omega_3+\psi_2(\Omega_3)))\)
(0)(1,1)(2,2)(3,3)(3,3) \(\psi(\Omega_3×2)\)
(0)(1,1)(2,2)(3,3)(4,2) \(\psi(\Omega_3×\Omega_2)\)
(0)(1,1)(2,2)(3,3)(4,2)(5,3) \(\psi(\Omega_3×\psi_2(\Omega_3))\)
(0)(1,1)(2,2)(3,3)(4,3) \(\psi(\Omega_3^2)\)
(0)(1,1)(2,2)(3,3)(4,3)(3,3)(4,2)(5,3)(6,3) \(\psi(\Omega_3^2+\Omega_3×\psi_2(\Omega_3^2))\)
(0)(1,1)(2,2)(3,3)(4,3)(3,3)(4,3) \(\psi(\Omega_3^2×2)\)
(0)(1,1)(2,2)(3,3)(4,3)(4,3) \(\psi(\Omega_3^3)\)
(0)(1,1)(2,2)(3,3)(4,3)(5,3) \(\psi(\Omega_3^{\Omega_3})\)
(0)(1,1)(2,2)(3,3)(4,3)(5,3)(3,3)(4,3)(5,2)(6,3)(7,3)(8,3) \(\psi(\Omega_3^{\Omega_3}+\Omega_3^{\psi_2(\Omega_3^{\Omega_3})})\)
(0)(1,1)(2,2)(3,3)(4,3)(5,3)(3,3)(4,3)(5,3) \(\psi(\Omega_3^{\Omega_3}×2)\)
(0)(1,1)(2,2)(3,3)(4,3)(5,3)(4,3) \(\psi(\Omega_3^{\Omega_3+1})\)
(0)(1,1)(2,2)(3,3)(4,3)(5,3)(5,3) \(\psi(\Omega_3^{\Omega_3^2})\)
(0)(1,1)(2,2)(3,3)(4,3)(5,3)(6,3) \(\psi(\Omega_3^{\Omega_3^{\Omega_3}})\)
(0)(1,1)(2,2)(3,3)(4,4) \(\psi(\Omega_4)\)
(0)(1,1,1) \(\psi(\Omega_\omega)=BO\)
检索自“http://wiki.googology.top/index.php?title=BMS分析Part1：0~BO&oldid=2566”
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此页面最后编辑于2025年8月30日 (星期六) 21:57。
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