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strong fffz分析Part1
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<math>\psi_Z(0) = 1</math> <math>\psi_Z[1](1) = 2</math> <math>\psi_Z[1](\psi_Z[1](1)) = 3</math> <math>\psi_Z(1) = \omega</math> <math>\psi_Z[2](2) = \omega+1</math> <math>\psi_Z[2](\psi_Z(1)) = \omega \times 2</math> <math>\psi_Z[2](\psi_Z[2](2)) = \omega \times 2+1</math> <math>\psi_Z(2) = \omega^2</math> <math>\psi_Z[\omega](\omega) = \omega^\omega</math> <math>\psi_Z[\omega](\omega+1) = \omega^{\omega+1}</math> <math>\psi_Z[\omega](\omega^2) = \omega^{\omega^2}</math> <math>\psi_Z[\omega](\psi_Z[\omega](\omega)) = \omega^{\omega^\omega}</math> <math>\psi_Z(\omega) = (0)(1,1)</math> <math>\psi_Z(\omega+1) = (0)(1,1)(1)</math> <math>\psi_Z[\omega \times 2](\omega \times 2) = (0)(1,1)(1)(2)</math> <math>\psi_Z[\omega \times 2](\omega^\omega) = (0)(1,1)(1)(2)(3)</math> <math>\psi_Z[\omega \times 2](\psi_Z(\omega)) = (0)(1,1)(1)(2,1)</math> <math>\psi_Z[\omega \times 2](\psi_Z[\omega \times 2](\omega \times 2)) = (0)(1,1)(1)(2,1)(2)(3)</math> <math>\psi_Z(\omega \times 2) = (0)(1,1)(1,1)</math> <math>\psi_Z[\omega^2](\omega^2) = (0)(1,1)(2)</math> <math>\psi_Z[\omega^2,\omega^2+\omega](\omega^2+\omega) = (0)(1,1)(2)(1)(2)</math> <math>\psi_Z[\omega^2](\omega^2+\omega) = (0)(1,1)(2)(1,1)</math> <math>\psi_Z[\omega^2](\omega^2 \times 2) = (0)(1,1)(2)(1,1)(2)</math> <math>\psi_Z[\omega^2](\omega^3) = (0)(1,1)(2)(2)</math> <math>\psi_Z[\omega^2, \omega^\omega](\omega^\omega) = (0)(1,1)(2)(3)</math> <math>\color{red}\psi_Z[\omega^2, \omega^\omega, \omega^\omega + \omega](\omega^\omega + \omega) = (0)(1,1)(2)(3)(1)(2)</math> <math>\psi_Z[\omega^2, \omega^\omega](\omega^\omega + \omega) = (0)(1,1)(2)(3)(1,1)</math> <math>\psi_Z[\omega^2, \omega^\omega](\omega^\omega \times 2) = (0)(1,1)(2)(3)(1,1)(2)(3)</math> <math>\psi_Z[\omega^2, \omega^\omega](\omega^{\omega+1}) = (0)(1,1)(2)(3)(2)</math> <math>\psi_Z[\omega^2, \omega^\omega](\omega^{\omega \times 2}) = (0)(1,1)(2)(3)(2)(3)</math> <math>\psi_Z[\omega^2, \omega^\omega](\omega^{\omega^2}) = (0)(1,1)(2)(3)(3)</math> <math>\psi_Z[\omega^2, \omega^\omega](\omega^{\omega^\omega}) = (0)(1,1)(2)(3)(4)</math> <math>\psi_Z[\omega^2, \omega^\omega](\psi_Z(\omega)) = (0)(1,1)(2)(3,1)</math> <math>\psi_Z[\omega^2, \omega^\omega](\psi_Z(\omega) + \omega) = (0)(1,1)(2)(3,1)(1,1)</math> <math>\psi_Z[\omega^2, \omega^\omega](\psi_Z(\omega+1)) = (0)(1,1)(2)(3,1)(2)</math> <math>\psi_Z[\omega^2, \omega^\omega](\psi_Z[\omega \times 2](\omega \times 2)) = (0)(1,1)(2)(3,1)(2)(3)</math> <math>\psi_Z[\omega^2, \omega^\omega](\psi_Z[\omega \times 2](\psi_Z(\omega))) = (0)(1,1)(2)(3,1)(2)(3,1)</math> <math>\psi_Z[\omega^2, \omega^\omega](\psi_Z[\omega \times 2](\psi_Z(\omega+1))) = (0)(1,1)(2)(3,1)(3)</math> <math>\psi_Z[\omega^2, \omega^\omega](\psi_Z(\omega \times 2)) = (0)(1,1)(2)(3,1)(3,1)</math> <math>\psi_Z[\omega^2, \omega^\omega](\psi_Z[\omega^2, \omega^\omega](\omega^\omega)) = (0)(1,1)(2)(3,1)(4)(5)</math> <math>\psi_Z[\omega^2](\omega^\omega) = (0)(1,1)(2,1)</math> <math>\psi_Z[\omega^2](\omega^\omega + \omega) = (0)(1,1)(2,1)(1,1)</math> <math>\psi_Z[\omega^2, \omega^\omega \times 2](\omega^\omega \times 2) = (0)(1,1)(2,1)(1,1)(2)(3)</math> <math>\psi_Z[\omega^2](\omega^\omega \times 2) = (0)(1,1)(2,1)(1,1)(2,1)</math> <math>\psi_Z[\omega^2](\omega^{\omega+1}) = (0)(1,1)(2,1)(2)</math> <math>\psi_Z[\omega^2](\omega^{\omega+1}+\omega^\omega) = (0)(1,1)(2,1)(2)(1,1)(2,1)</math> <math>\psi_Z[\omega^2](\omega^{\omega+2}) = (0)(1,1)(2,1)(2)(2)</math> <math>\psi_Z[\omega^2, \omega^{\omega \times 2}](\omega^{\omega \times 2}) = (0)(1,1)(2,1)(2)(3)</math> <math>\psi_Z[\omega^2, \omega^{\omega \times 2}](\psi_Z(\omega)) = (0)(1,1)(2,1)(2)(3,1)</math> <math>\psi_Z[\omega^2, \omega^{\omega \times 2}](\psi_Z[\omega^2, \omega^{\omega \times 2}](\omega^{\omega \times 2})) = (0)(1,1)(2,1)(2)(3,1)(4,1)(4)(5)</math> <math>\psi_Z[\omega^2](\omega^{\omega \times 2}) = (0)(1,1)(2,1)(2,1)</math> <math>\psi_Z[\omega^2](\omega^{\omega^2}) = (0)(1,1)(2,1)(3)</math> <math>\psi_Z[\omega^2](\omega^{\omega^2+\omega}) = (0)(1,1)(2,1)(3)(2,1)</math> <math>\psi_Z[\omega^2](\omega^{\omega^3}) = (0)(1,1)(2,1)(3)(3)</math> <math>\psi_Z[\omega^2, \omega^{\omega^\omega}](\omega^{\omega^\omega}) = (0)(1,1)(2,1)(3)(4)</math> <math>\psi_Z[\omega^2, \omega^{\omega^\omega}, \omega^{\omega^\omega+\omega}](\omega^{\omega^\omega+\omega}) = (0)(1,1)(2,1)(3)(4)(2)(3)</math> <math>\psi_Z[\omega^2, \omega^{\omega^\omega}](\omega^{\omega^\omega+\omega}) = (0)(1,1)(2,1)(3)(4)(2,1)</math> <math>\psi_Z[\omega^2, \omega^{\omega^\omega}](\psi_Z(\omega)) = (0)(1,1)(2,1)(3)(4,1)</math> <math>\psi_Z[\omega^2, \omega^{\omega^\omega}](\psi_Z[\omega^2, \omega^{\omega^\omega}](\omega^{\omega^\omega})) = (0)(1,1)(2,1)(3)(4,1)(5,1)(6)(7)</math> <math>\psi_Z[\omega^2](\omega^{\omega^\omega}) = (0)(1,1)(2,1)(3,1)</math> <math>\psi_Z[\omega^2, \omega^{\omega^\omega+\omega}](\omega^{\omega^\omega+\omega}) = (0)(1,1)(2,1)(3,1)(2)(3)</math> <math>\psi_Z[\omega^2, \omega^{\omega^\omega+\omega}, \omega^{\omega^\omega+\omega}+\omega^{\omega^\omega}](\omega^{\omega^\omega+\omega}+\omega^{\omega^\omega}) = (0)(1,1)(2,1)(3,1)(2)(3)(1,1)(2,1)(3)(4)</math> <math>\psi_Z[\omega^2, \omega^{\omega^\omega+\omega}](\omega^{\omega^\omega+\omega}+\omega^{\omega^\omega}) = (0)(1,1)(2,1)(3,1)(2)(3)(1,1)(2,1)(3,1)</math> <math>\psi_Z[\omega^2](\omega^{\omega^\omega+\omega}) = (0)(1,1)(2,1)(3,1)(2,1)</math> <math>\psi_Z[\omega^2](\omega^{\omega^{\omega+1}}) = (0)(1,1)(2,1)(3,1)(3)</math> <math>\psi_Z[\omega^2](\omega^{\omega^{\omega \times 2}}) = (0)(1,1)(2,1)(3,1)(3,1)</math> <math>\psi_Z[\omega^2](\omega^{\omega^{\omega^2}}) = (0)(1,1)(2,1)(3,1)(4)</math> <math>\psi_Z[\omega^2, \omega^{\omega^{\omega^\omega}}](\omega^{\omega^{\omega^\omega}}) = (0)(1,1)(2,1)(3,1)(4)(5)</math> <math>\psi_Z[\omega^2](\omega^{\omega^{\omega^\omega}}) = (0)(1,1)(2,1)(3,1)(4,1)</math> <math>\psi_Z[\omega^2](\psi_Z(\omega)) = (0)(1,1)(2,2)</math> <math>\psi_Z[\omega^2](\psi_Z(\omega) + \omega) = (0)(1,1)(2,2)(1,1)</math> <math>\psi_Z[\omega^2](\psi_Z(\omega) \times 2) = (0)(1,1)(2,2)(1,1)(2,2)</math> <math>\psi_Z[\omega^2](\psi_Z(\omega+1)) = (0)(1,1)(2,2)(2)</math> <math>\psi_Z[\omega^2](\psi_Z(\omega+1) + \psi_Z(\omega)) = (0)(1,1)(2,2)(2)(1,1)(2,2)</math> <math>\psi_Z[\omega^2](\psi_Z(\omega+2)) = (0)(1,1)(2,2)(2)(2)</math> <math>\psi_Z[\omega^2, \psi_Z[\omega \times 2](\omega \times 2)](\psi_Z[\omega \times 2](\omega \times 2)) = (0)(1,1)(2,2)(2)(3)</math> <math>\psi_Z[\omega^2, \psi_Z[\omega \times 2](\omega \times 2)](\psi_Z(\omega \times 2)) = (0)(1,1)(2,2)(2)(3,1)</math> <math>\psi_Z[\omega^2, \psi_Z[\omega \times 2](\omega \times 2)](\psi_Z[\omega^2, \psi_Z[\omega \times 2](\omega \times 2)](\psi_Z[\omega \times 2](\omega \times 2))) = (0)(1,1)(2,2)(2)(3,1)(4,2)(4)(5)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega \times 2](\omega \times 2)) = (0)(1,1)(2,2)(2,1)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega \times 2](\omega \times 2+1)) = (0)(1,1)(2,2)(2,1)(2)</math> <math>\psi_Z[\omega^2, \psi_Z[\omega \times 2](\omega \times 3)](\psi_Z[\omega \times 2](\omega \times 3)) = (0)(1,1)(2,2)(2,1)(2)(3)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega \times 2](\omega \times 3)) = (0)(1,1)(2,2)(2,1)(2,1)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega \times 2](\omega^2)) = (0)(1,1)(2,2)(2,1)(3)</math> <math>\psi_Z[\omega^2, \psi_Z[\omega \times 2](\omega^\omega)](\psi_Z[\omega \times 2](\omega^\omega)) = (0)(1,1)(2,2)(2,1)(3)(4)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega \times 2](\omega^\omega)) = (0)(1,1)(2,2)(2,1)(3,1)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega \times 2](\omega^{\omega^\omega})) = (0)(1,1)(2,2)(2,1)(3,1)(4,1)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega \times 2](\psi_Z(\omega))) = (0)(1,1)(2,2)(2,1)(3,2)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega \times 2](\psi_Z(\omega) + \omega)) = (0)(1,1)(2,2)(2,1)(3,2)(2,1)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega \times 2](\psi_Z(\omega+1))) = (0)(1,1)(2,2)(2,1)(3,2)(3)</math> <math>\psi_Z[\omega^2, \psi_Z[\omega \times 2](\psi_Z[\omega \times 2](\omega \times 2))](\psi_Z[\omega \times 2](\psi_Z[\omega \times 2](\omega \times 2))) = (0)(1,1)(2,2)(2,1)(3,2)(3)(4)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega \times 2](\psi_Z[\omega \times 2](\omega \times 2))) = (0)(1,1)(2,2)(2,1)(3,2)(3,1)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega \times 2](\psi_Z[\omega \times 2](\omega^2))) = (0)(1,1)(2,2)(2,1)(3,2)(3,1)(4)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega \times 2](\psi_Z[\omega \times 2](\omega^\omega))) = (0)(1,1)(2,2)(2,1)(3,2)(3,1)(4,1)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega \times 2](\psi_Z[\omega \times 2](\psi_Z(\omega))) = (0)(1,1)(2,2)(2,1)(3,2)(3,1)(4,2)</math> <math>\psi_Z[\omega^2](\psi_Z(\omega \times 2)) = (0)(1,1)(2,2)(2,2)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega^2](\omega^2)) = (0)(1,1)(2,2)(3)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega^2](\omega^2 + \omega)) = (0)(1,1)(2,2)(3)(2,2)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega^2](\omega^3)) = (0)(1,1)(2,2)(3)(3)</math> <math>\psi_Z[\omega^2, \psi_Z[\omega^2, \omega^\omega](\omega^\omega)](\psi_Z[\omega^2, \omega^\omega](\omega^\omega)) = (0)(1,1)(2,2)(3)(4)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega^2, \omega^\omega](\omega^\omega)) = (0)(1,1)(2,2)(3,1)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega^2, \omega^\omega](\omega^{\omega+1})) = (0)(1,1)(2,2)(3,1)(3)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega^2, \omega^\omega](\omega^{\omega \times 2})) = (0)(1,1)(2,2)(3,1)(3,1)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega^2, \omega^\omega](\omega^{\omega^2})) = (0)(1,1)(2,2)(3,1)(4)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega^2, \omega^\omega](\omega^{\omega^\omega})) = (0)(1,1)(2,2)(3,1)(4,1)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega^2, \omega^\omega](\psi_Z(\omega))) = (0)(1,1)(2,2)(3,1)(4,2)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega^2, \omega^\omega](\psi_Z[\omega \times 2](\omega \times 2))) = (0)(1,1)(2,2)(3,1)(4,2)(3,1)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega^2, \omega^\omega](\psi_Z[\omega \times 2](\omega^2))) = (0)(1,1)(2,2)(3,1)(4,2)(3,1)(4)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega^2, \omega^\omega](\psi_Z[\omega \times 2](\omega^\omega))) = (0)(1,1)(2,2)(3,1)(4,2)(3,1)(4,1)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega^2, \omega^\omega](\psi_Z[\omega \times 2](\psi_Z(\omega)))) = (0)(1,1)(2,2)(3,1)(4,2)(3,1)(4,2)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega^2, \omega^\omega](\psi_Z[\omega \times 2](\psi_Z(\omega)+\omega))) = (0)(1,1)(2,2)(3,1)(4,2)(3,1)(4,2)(3,1)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega^2, \omega^\omega](\psi_Z[\omega \times 2](\psi_Z(\omega+1)))) = (0)(1,1)(2,2)(3,1)(4,2)(4)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega^2, \omega^\omega](\psi_Z[\omega \times 2](\psi_Z[\omega \times 2](\omega \times 2)))) = (0)(1,1)(2,2)(3,1)(4,2)(4,1)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega^2, \omega^\omega](\psi_Z[\omega \times 2](\psi_Z[\omega \times 2](\psi_Z(\omega))))) = (0)(1,1)(2,2)(3,1)(4,2)(4,1)(5,2)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega^2, \omega^\omega](\psi_Z(\omega \times 2))) = (0)(1,1)(2,2)(3,1)(4,2)(4,2)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega^2, \omega^\omega](\psi_Z[\omega^2](\omega^2))) = (0)(1,1)(2,2)(3,1)(4,2)(5)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega^2, \omega^\omega](\psi_Z[\omega^2, \omega^\omega](\omega^\omega))) = (0)(1,1)(2,2)(3,1)(4,2)(5,1)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega^2, \omega^\omega](\psi_Z[\omega^2, \omega^\omega](\psi_Z(\omega)))) = (0)(1,1)(2,2)(3,1)(4,2)(5,1)(6,2)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega^2](\omega^\omega)) = (0)(1,1)(2,2)(3,2)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega^2](\omega^\omega + \omega)) = (0)(1,1)(2,2)(3,2)(2,2)</math> <math>\psi_Z[\omega^2, \psi_Z[\omega^2, \omega^\omega \times 2](\omega^\omega \times 2)](\psi_Z[\omega^2, \omega^\omega \times 2](\omega^\omega \times 2)) = (0)(1,1)(2,2)(3,2)(2,2)(3)(4)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega^2, \omega^\omega \times 2](\omega^\omega \times 2)) = (0)(1,1)(2,2)(3,2)(2,2)(3,1)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega^2](\omega^\omega \times 2)) = (0)(1,1)(2,2)(3,2)(2,2)(3,2)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega^2](\omega^{\omega+1})) = (0)(1,1)(2,2)(3,2)(3)</math> <math>\psi_Z[\omega^2, \psi_Z[\omega^2, \omega^{\omega \times 2}](\omega^{\omega \times 2})](\psi_Z[\omega^2, \omega^{\omega \times 2}](\omega^{\omega \times 2})) = (0)(1,1)(2,2)(3,2)(3)(4)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega^2, \omega^{\omega \times 2}](\omega^{\omega \times 2})) = (0)(1,1)(2,2)(3,2)(3,1)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega^2](\omega^{\omega \times 2})) = (0)(1,1)(2,2)(3,2)(3,2)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega^2](\omega^{\omega^2})) = (0)(1,1)(2,2)(3,2)(4)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega^2](\omega^{\omega^\omega})) = (0)(1,1)(2,2)(3,2)(4,2)</math> <math>\psi_Z[\omega^2](\psi_Z[\omega^2](\psi_Z(\omega))) = (0)(1,1)(2,2)(3,3)</math> <math>\psi_Z(\omega^2) = (0)(1,1,1)</math> [[分类:分析]]
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