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strong fffz分析Part4:修订间差异

来自Googology Wiki
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第98行: 第98行:


<math>\psi_Z[\omega^3](\psi_Z[\omega^3, \omega^\omega](\psi_Z(\omega))) = (0)(1,1,1)(2,2,2)(3,1,1)(4,2)</math>
<math>\psi_Z[\omega^3](\psi_Z[\omega^3, \omega^\omega](\psi_Z(\omega))) = (0)(1,1,1)(2,2,2)(3,1,1)(4,2)</math>
<math>\psi_Z[\omega^3](\psi_Z[\omega^3, \omega^\omega](\psi_Z[\omega^2](\omega^2))) = (0)(1,1,1)(2,2,2)(3,1,1)(4,2,1)</math>


<math>\psi_Z[\omega^3](\psi_Z[\omega^3, \omega^\omega](\psi_Z(\omega^2))) = (0)(1,1,1)(2,2,2)(3,1,1)(4,2,2)</math>
<math>\psi_Z[\omega^3](\psi_Z[\omega^3, \omega^\omega](\psi_Z(\omega^2))) = (0)(1,1,1)(2,2,2)(3,1,1)(4,2,2)</math>

2026年7月30日 (四) 21:20的最新版本

ψZ[ω3](ψZ[ω2](ω2))=(0)(1,1,1)(2,2,1)

ψZ[ω3](ψZ[ω2](ω2+1))=(0)(1,1,1)(2,2,1)(2)

ψZ[ω3](ψZ[ω2,ω2+ω](ω2+ω))=(0)(1,1,1)(2,2,1)(2,1)

ψZ[ω3,ψZ[ω2,ω2+ω](ω2×2)](ψZ[ω2,ω2+ω](ω2×2))=(0)(1,1,1)(2,2,1)(2,1)(3)

ψZ[ω3](ψZ[ω2,ω2+ω](ω2×2))=(0)(1,1,1)(2,2,1)(2,1,1)

ψZ[ω3,ψZ[ω2,ω2+ω](ψZ[ω2](ω2))](ψZ[ω2,ω2+ω](ψZ[ω2](ω2)))=(0)(1,1,1)(2,2,1)(2,1,1)(3,2)(4)

ψZ[ω3](ψZ[ω2,ω2+ω](ψZ[ω2](ω2)))=(0)(1,1,1)(2,2,1)(2,1,1)(3,2,1)

ψZ[ω3](ψZ[ω2](ω2+ω))=(0)(1,1,1)(2,2,1)(2,2)

ψZ[ω3,ψZ[ω2](ω2×2)](ψZ[ω2](ω2×2))=(0)(1,1,1)(2,2,1)(2,2)(3)

ψZ[ω3,ψZ[ω2](ω2×2)](ψZ(ω2×2))=(0)(1,1,1)(2,2,1)(2,2)(3,3,1)

ψZ[ω3](ψZ[ω2](ω2×2))=(0)(1,1,1)(2,2,1)(2,2,1)

ψZ[ω3](ψZ[ω2](ω3))=(0)(1,1,1)(2,2,1)(3)

ψZ[ω3](ψZ[ω2,ωω](ωω))=(0)(1,1,1)(2,2,1)(3,1)

ψZ[ω3](ψZ[ω2,ωω](ωω2))=(0)(1,1,1)(2,2,1)(3,1,1)

ψZ[ω3,ψZ[ω2,ωω](ψZ[ω2](ω2))](ψZ[ω2,ωω](ψZ[ω2](ω2)))=(0)(1,1,1)(2,2,1)(3,1,1)(4,2)(5)

ψZ[ω3](ψZ[ω2,ωω](ψZ[ω2](ω2)))=(0)(1,1,1)(2,2,1)(3,1,1)(4,2,1)

ψZ[ω3](ψZ[ω2](ωω))=(0)(1,1,1)(2,2,1)(3,2)

ψZ[ω3,ψZ[ω2](ωω2)](ψZ[ω2](ωω2))=(0)(1,1,1)(2,2,1)(3,2)(4)

ψZ[ω3](ψZ[ω2](ωω2))=(0)(1,1,1)(2,2,1)(3,2,1)

ψZ[ω3](ψZ[ω2](ωω3))=(0)(1,1,1)(2,2,1)(3,2,1)(4)

ψZ[ω3](ψZ[ω2](ωωω))=(0)(1,1,1)(2,2,1)(3,2,1)(4,2)

ψZ[ω3](ψZ[ω2](ωωω2))=(0)(1,1,1)(2,2,1)(3,2,1)(4,2,1)

ψZ[ω3](ψZ[ω2](ψZ(ω)))=(0)(1,1,1)(2,2,1)(3,3)

ψZ[ω3](ψZ[ω2](ψZ(ω+1)))=(0)(1,1,1)(2,2,1)(3,3)(3)

ψZ[ω3](ψZ[ω2](ψZ[ω×2](ω×2)))=(0)(1,1,1)(2,2,1)(3,3)(3,2)

ψZ[ω3](ψZ[ω2](ψZ(ω×2)))=(0)(1,1,1)(2,2,1)(3,3)(3,3)

ψZ[ω3,ψZ[ω2](ψZ[ω2](ω2))](ψZ[ω2](ψZ[ω2](ω2)))=(0)(1,1,1)(2,2,1)(3,3)(4)

ψZ[ω3,ψZ[ω2](ψZ[ω2](ω2))](ψZ[ω2,ψZ[ω2,ωω](ωω)](ψZ[ω2,ωω](ωω)))=(0)(1,1,1)(2,2,1)(3,3)(4,1)

ψZ[ω3,ψZ[ω2](ψZ[ω2](ω2))](ψZ[ω2,ψZ[ω2,ωω](ωω)](ψZ[ω2,ωω](ωω2)))=(0)(1,1,1)(2,2,1)(3,3)(4,1,1)

ψZ[ω3,ψZ[ω2](ψZ[ω2](ω2))](ψZ[ω2](ψZ[ω2,ωω](ωω)))=(0)(1,1,1)(2,2,1)(3,3)(4,2)

ψZ[ω3,ψZ[ω2](ψZ[ω2](ω2)),ψZ[ω2](ψZ[ω2,ωω](ωω2))](ψZ[ω2](ψZ[ω2,ωω](ωω2)))=(0)(1,1,1)(2,2,1)(3,3)(4,2)(5)

ψZ[ω3,ψZ[ω2](ψZ[ω2](ω2))](ψZ[ω2,ωω](ωω2)))=(0)(1,1,1)(2,2,1)(3,3)(4,2,1)

ψZ[ω3,ψZ[ω2](ψZ[ω2](ω2))](ψZ[ω2](ψZ[ω2](ωω)))=(0)(1,1,1)(2,2,1)(3,3)(4,3)

ψZ[ω3,ψZ[ω2](ψZ[ω2](ω2))](ψZ[ω2](ψZ[ω2](ωωω)))=(0)(1,1,1)(2,2,1)(3,3)(4,3)(5,3)

ψZ[ω3,ψZ[ω2](ψZ[ω2](ω2))](ψZ[ω2](ψZ[ω2](ψZ(ω))))=(0)(1,1,1)(2,2,1)(3,3)(4,4)

ψZ[ω3,ψZ[ω2](ψZ[ω2](ω2))](ψZ(ω2))=(0)(1,1,1)(2,2,1)(3,3)(4,4,1)

ψZ[ω3,ψZ[ω2](ψZ[ω2](ω2))](ψZ[ω3](ψZ[ω2](ω2)))=(0)(1,1,1)(2,2,1)(3,3)(4,4,1)(5,5,1)

ψZ[ω3](ψZ[ω2](ψZ[ω2](ω2)))=(0)(1,1,1)(2,2,1)(3,3,1)

ψZ[ω3](ψZ(ω2))=(0)(1,1,1)(2,2,2)

ψZ[ω3](ψZ(ω2+ω))=(0)(1,1,1)(2,2,2)(2,2)

ψZ[ω3](ψZ[ω2×2](ω2×2))=(0)(1,1,1)(2,2,2)(2,2,1)

ψZ[ω3](ψZ[ω2×2](ω3))=(0)(1,1,1)(2,2,2)(2,2,1)(3)

ψZ[ω3](ψZ[ω2×2](ψZ(ω)))=(0)(1,1,1)(2,2,2)(2,2,1)(3,3)

ψZ[ω3](ψZ[ω2×2](ψZ[ω2](ω2)))=(0)(1,1,1)(2,2,2)(2,2,1)(3,3,1)

ψZ[ω3](ψZ[ω2×2](ψZ(ω2)))=(0)(1,1,1)(2,2,2)(2,2,1)(3,3,2)

ψZ[ω3](ψZ(ω2×2))=(0)(1,1,1)(2,2,2)(2,2,2)

ψZ[ω3](ψZ[ω3](ω3))=(0)(1,1,1)(2,2,2)(3)

ψZ[ω3](ψZ[ω3,ωω](ωω))=(0)(1,1,1)(2,2,2)(3,1)

ψZ[ω3](ψZ[ω3,ωω](ωω2))=(0)(1,1,1)(2,2,2)(3,1,1)

ψZ[ω3](ψZ[ω3,ωω](ψZ(ω)))=(0)(1,1,1)(2,2,2)(3,1,1)(4,2)

ψZ[ω3](ψZ[ω3,ωω](ψZ[ω2](ω2)))=(0)(1,1,1)(2,2,2)(3,1,1)(4,2,1)

ψZ[ω3](ψZ[ω3,ωω](ψZ(ω2)))=(0)(1,1,1)(2,2,2)(3,1,1)(4,2,2)

ψZ[ω3](ψZ[ω3](ωω))=(0)(1,1,1)(2,2,2)(3,2)

ψZ[ω3,ψZ[ω3,ωω2](ωω2)](ψZ[ω3,ωω2](ωω2))=(0)(1,1,1)(2,2,2)(3,2)(4)

ψZ[ω3](ψZ[ω3,ωω2](ωω2))=(0)(1,1,1)(2,2,2)(3,2,1)

ψZ[ω3](ψZ[ω3,ωω2](ωωω2))=(0)(1,1,1)(2,2,2)(3,2,1)(4,2,1)

ψZ[ω3](ψZ[ω3,ωω2](ψZ(ω)))=(0)(1,1,1)(2,2,2)(3,2,1)(4,3)

ψZ[ω3](ψZ[ω3,ωω2](ψZ(ω2)))=(0)(1,1,1)(2,2,2)(3,2,1)(4,3,2)

ψZ[ω3](ψZ[ω3](ωω2))=(0)(1,1,1)(2,2,2)(3,2,2)

ψZ[ω3](ψZ[ω3](ψZ(ω)))=(0)(1,1,1)(2,2,2)(3,3)

ψZ[ω3,ψZ[ω3,ψZ[ω2](ω2)](ψZ[ω2](ω2))](ψZ[ω3,ψZ[ω2](ω2)](ψZ[ω2](ω2)))=(0)(1,1,1)(2,2,2)(3,3)(4)

ψZ[ω3](ψZ[ω3,ψZ[ω2](ω2)](ψZ[ω2](ω2)))=(0)(1,1,1)(2,2,2)(3,3,1)

ψZ[ω3](ψZ[ω3,ψZ[ω2](ω2)](ψZ(ω2)))=(0)(1,1,1)(2,2,2)(3,3,1)(4,4,2)

ψZ[ω3](ψZ[ω3](ψZ[ω2](ω2)))=(0)(1,1,1)(2,2,2)(3,3,2)

ψZ[ω3](ψZ[ω3](ψZ[ω2](ψ(ω))))=(0)(1,1,1)(2,2,2)(3,3,2)(4,4)

ψZ[ω3](ψZ[ω3,ψZ[ω2](ψ[ω2](ω2))](ψZ[ω2](ψ[ω2](ω2))))=(0)(1,1,1)(2,2,2)(3,3,2)(4,4,1)

ψZ[ω3](ψZ[ω3](ψZ[ω2](ψZ[ω2](ω2))))=(0)(1,1,1)(2,2,2)(3,3,2)(4,4,2)

ψZ[ω3](ψZ[ω3](ψZ(ω2)))=(0)(1,1,1)(2,2,2)(3,3,3)

ψZ(ω3)=(0)(1,1,1,1)