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strong fffz分析Part7

来自Googology Wiki

ψZ[ωω](ωω)=(0)(1ω)

ψZ[ωω,ωω+ω](ωω+ω)=(0)(1ω)(1)(2)

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

ψZ[ωω](ωω+ω)=(0)(1ω)(1,1)

ψZ[ωω,ωω+ω2](ωω+ω2)=(0)(1ω)(1,1)(2)

ψZ[ωω](ωω+ω2)=(0)(1ω)(1,1,1)

ψZ[ωω](ωω×2)=(0)(1ω)(1ω)

ψZ[ωω,ωω+1](ωω+1)=(0)(1ω)(2)

ψZ[ωω,ωω+1](ωω+1+ωω)=(0)(1ω)(2)(1ω)

ψZ[ωω,ωω+1,ωω×2](ωω×2)=(0)(1ω)(2)(3)

ψZ[ωω,ωω+1](ωω×2)=(0)(1ω)(2,1)

ψZ[ωω,ωω+1,ωω2](ωω2)=(0)(1ω)(2,1)(3)

ψZ[ωω,ωω+1](ωω2)=(0)(1ω)(2,1,1)

ψZ[ωω,ωω+1](ωω3)=(0)(1ω)(2,1,1,1)

ψZ[ωω,ωω+1](ωωω)=(0)(1ω)(2,1ω)

ψZ[ωω,ωω+1](ωωω+1)=(0)(1ω)(2,1ω)(2)

ψZ[ωω,ωω+1](ωωω+ω)=(0)(1ω)(2,1ω)(2,1)

ψZ[ωω,ωω+1](ωωω×2)=(0)(1ω)(2,1ω)(2,1ω)

ψZ[ωω,ωω+1](ωωω+1)=(0)(1ω)(2,1ω)(3)

ψZ[ωω,ωω+1,ωωω×2](ωωω×2)=(0)(1ω)(2,1ω)(3)(4)

ψZ[ωω,ωω+1](ωωω×2)=(0)(1ω)(2,1ω)(3,1)

ψZ[ωω,ωω+1](ωωωω)=(0)(1ω)(2,1ω)(3,1ω)

ψZ[ωω,ωω+1](ψZ(ω))=(0)(1ω)(2,2)

ψZ[ωω,ωω+1](ψZ(ω+1))=(0)(1ω)(2,2)(2)

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

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

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

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

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

ψZ[ωω,ωω+1](ψZ[ω×2](ωωω))=(0)(1ω)(2,2)(2,1ω)(3,1ω)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

ψZ[ωω,ωω+1](ψZ(ω2))=(0)(1ω)(2,2,2)

ψZ[ωω,ωω+1](ψZ[ωω](ωω))=(0)(1ω)(2ω)

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

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

ψZ[ωω](ωω+1)=(0)(1ω+1)

ψZ[ωω,ωω+2](ωω+2)=(0)(1ω+1)(2)

ψZ[ωω,ωω+2](ωω×2)=(0)(1ω+1)(2,1)

ψZ[ωω,ωω+2](ωω2)=(0)(1ω+1)(2,1,1)

ψZ[ωω,ωω+2](ωωω)=(0)(1ω+1)(2,1ω)

ψZ[ωω,ωω+2,ωωω+1](ωωω+1)=(0)(1ω+1)(2,1ω)(3)

ψZ[ωω,ωω+2,ωωω+1](ψZ[ωω](ωω+1))=(0)(1ω+1)(2,1ω)(3,2ω,1)

ψZ[ωω,ωω+2](ωωω+1)=(0)(1ω+1)(2,1ω+1)

ψZ[ωω,ωω+2](ψZ(ω))=(0)(1ω+1)(2,2)

ψZ[ωω,ωω+2](ψZ[ωω](ωω))=(0)(1ω+1)(2ω)

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

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

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

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

ψZ[ωω,ωω+2](ψZ[ωω,ωω+1,ωω×2](ωωω+1))=(0)(1ω+1)(2ω,1)(3,1ω+1)

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

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

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

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

ψZ[ωω,ωω+2](ψZ[ωω,ωω+1,ωω2](ωωω+1))=(0)(1ω+1)(2ω,1)(3,2,1ω+1)

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

ψZ[ωω,ωω+2](ψZ[ωω,ωω+1](ωωω))=(0)(1ω+1)(2ω,1)(3,2ω)

ψZ[ωω,ωω+2](ψZ[ωω,ωω+1](ωωω+1))=(0)(1ω+1)(2ω,1)(3,2ω,1)

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

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

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

ψZ[ωω](ωω+2)=(0)(1ω+2)

ψZ[ωω](ωω×2)=(0)(1ω×2)

ψZ[ωω](ωω2)=(0)(1ω2)

ψZ[ωω](ψZ(ω))=(0)(1(0)(1,1))

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

ψZ[ωω,ψZ[ωω,ωω+1](ωω+1)](ψZ[ωω,ωω+1](ωω+1))=(0)(1,,1)(2)(1)(2,1,,1)(3,1,,1)(4)(5,1,,1)(6)

ψZ[ωω,ψZ[ωω,ωω+1](ωω+1),ψZ[ωω,ωω+1,ωω×2](ωω×2)](ψZ[ωω,ωω+1,ωω×2](ωω×2))=(0)(1,,1)(2)(1)(2,1,,1)(3,1,,1)(4)(5,1,,1)(6)(7)

ψZ[ωω,ψZ[ωω,ωω+1](ωω+1),ψZ[ωω,ωω+1,ωω×2](ωω×2)](ψZ[ωω,ωω+1](ωω×2))=(0)(1,,1)(2)(1)(2,1,,1)(3,1,,1)(4)(5,1,,1)(6,1)

ψZ[ωω,ψZ[ωω,ωω+1](ωω+1),ψZ[ωω,ωω+1,ωω×2](ωω×2)](ψZ[ωω](ωω+1)=(0)(1,,1)(2)(1)(2,1,,1)(3,1,,1)(4)(5,1,,1)(6,1)(7,2,1)

ψZ[ωω,ψZ[ωω,ωω+1](ωω+1),ψZ[ωω,ωω+1,ωω×2](ωω×2)](ψZ[ωω](ωω×2)=(0)(1,,1)(2)(1)(2,1,,1)(3,1,,1)(4)(5,1,,1)(6,1)(7,2,1,,1)

ψZ[ωω,ψZ[ωω,ωω+1](ωω+1),ψZ[ωω,ωω+1,ωω×2](ωω×2)](ψZ[ωω](ωω2)=(0)(1,,1)(2)(1)(2,1,,1)(3,1,,1)(4)(5,1,,1)(6,1,,1)

ψZ[ωω,ψZ[ωω,ωω+1](ωω+1),ψZ[ωω,ωω+1,ωω×2](ωω×2)](ψZ[ωω](ψZ[ωω](ωω))=(0)(1,,1)(2)(1)(2,1,,1)(3,1,,1)(4)(5,1,,1)(6,1,,1)(7)(8,1,,1)

ψZ[ωω,ψZ[ωω,ωω+1](ωω+1)](ψZ[ωω,ωω+1,ωω×2](ωω×2))=(0)(1,,1)(2)(1)(2,1,,1)(3,1,,1)(4,1)