strong fffz分析Part6：修订间差异

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2026年8月2日 (日) 07:03的最新版本

$ψ_{Z} [ω^{ω}] (ω^{ω}) = (0) (1^{ω})$

$ψ_{Z} [ω^{ω}, ω^{ω} + ω] (ω^{ω} + ω) = (0) (1^{ω}) (1) (2)$

$ψ_{Z} [ω^{ω}, ω^{ω} + ω] (ψ_{Z} [ω^{ω}] (ω^{ω})) = (0) (1^{ω}) (1) (2, 1^{ω})$

$ψ_{Z} [ω^{ω}] (ω^{ω} + ω) = (0) (1^{ω}) (1, 1)$

$ψ_{Z} [ω^{ω}, ω^{ω} + ω^{2}] (ω^{ω} + ω^{2}) = (0) (1^{ω}) (1, 1) (2)$

$ψ_{Z} [ω^{ω}] (ω^{ω} + ω^{2}) = (0) (1^{ω}) (1, 1, 1)$

$ψ_{Z} [ω^{ω}] (ω^{ω} \times 2) = (0) (1^{ω}) (1^{ω})$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ω^{ω + 1}) = (0) (1^{ω}) (2)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ω^{ω + 1} + ω^{ω}) = (0) (1^{ω}) (2) (1^{ω})$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}, ω^{ω \times 2}] (ω^{ω \times 2}) = (0) (1^{ω}) (2) (3)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ω^{ω \times 2}) = (0) (1^{ω}) (2, 1)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}, ω^{ω^{2}}] (ω^{ω^{2}}) = (0) (1^{ω}) (2, 1) (3)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ω^{ω^{2}}) = (0) (1^{ω}) (2, 1, 1)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ω^{ω^{3}}) = (0) (1^{ω}) (2, 1, 1, 1)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ω^{ω^{ω}}) = (0) (1^{ω}) (2, 1^{ω})$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ω^{ω^{ω} + 1}) = (0) (1^{ω}) (2, 1^{ω}) (2)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ω^{ω^{ω} + ω}) = (0) (1^{ω}) (2, 1^{ω}) (2, 1)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ω^{ω^{ω} \times 2}) = (0) (1^{ω}) (2, 1^{ω}) (2, 1^{ω})$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ω^{ω^{ω + 1}}) = (0) (1^{ω}) (2, 1^{ω}) (3)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}, ω^{ω^{ω \times 2}}] (ω^{ω^{ω \times 2}}) = (0) (1^{ω}) (2, 1^{ω}) (3) (4)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ω^{ω^{ω \times 2}}) = (0) (1^{ω}) (2, 1^{ω}) (3, 1)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ω^{ω^{ω^{ω}}}) = (0) (1^{ω}) (2, 1^{ω}) (3, 1^{ω})$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ψ_{Z} (ω)) = (0) (1^{ω}) (2, 2)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ψ_{Z} (ω + 1)) = (0) (1^{ω}) (2, 2) (2)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ψ_{Z} [ω \times 2] (ω \times 2)) = (0) (1^{ω}) (2, 2) (2, 1)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ψ_{Z} [ω \times 2] (ω^{2})) = (0) (1^{ω}) (2, 2) (2, 1, 1)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ψ_{Z} [ω \times 2] (ω^{ω})) = (0) (1^{ω}) (2, 2) (2, 1^{ω})$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ψ_{Z} [ω \times 2] (ω^{ω + 1})) = (0) (1^{ω}) (2, 2) (2, 1^{ω}) (3)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ψ_{Z} [ω \times 2] (ω^{ω \times 2})) = (0) (1^{ω}) (2, 2) (2, 1^{ω}) (3, 1)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ψ_{Z} [ω \times 2] (ω^{ω^{ω}})) = (0) (1^{ω}) (2, 2) (2, 1^{ω}) (3, 1^{ω})$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ψ_{Z} [ω \times 2] (ψ_{Z} (ω))) = (0) (1^{ω}) (2, 2) (2, 1^{ω}) (3, 2)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ψ_{Z} (ω \times 2)) = (0) (1^{ω}) (2, 2) (2, 2)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}, ψ_{Z} [ω^{2}] (ω^{2})] (ψ_{Z} [ω^{2}] (ω^{2})) = (0) (1^{ω}) (2, 2) (3)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}, ψ_{Z} [ω^{2}] (ω^{2})] (ψ_{Z} [ω^{2}, ω^{ω}] (ω^{ω})) = (0) (1^{ω}) (2, 2) (3, 1)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}, ψ_{Z} [ω^{2}] (ω^{2})] (ψ_{Z} [ω^{2}, ω^{ω}] (ω^{ω^{2}})) = (0) (1^{ω}) (2, 2) (3, 1, 1)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}, ψ_{Z} [ω^{2}] (ω^{2})] (ψ_{Z} [ω^{2}, ω^{ω}] (ω^{ω^{ω}})) = (0) (1^{ω}) (2, 2) (3, 1^{ω})$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}, ψ_{Z} [ω^{2}] (ω^{2})] (ψ_{Z} [ω^{2}, ω^{ω}] (ψ_{Z} (ω))) = (0) (1^{ω}) (2, 2) (3, 1^{ω}) (4, 2)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}, ψ_{Z} [ω^{2}] (ω^{2})] (ψ_{Z} [ω^{2}] (ω^{ω})) = (0) (1^{ω}) (2, 2) (3, 2)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}, ψ_{Z} [ω^{2}] (ω^{2})] (ψ_{Z} [ω^{ω}] (ω^{ω})) = (0) (1^{ω}) (2, 2) (3, 3, 1^{ω})$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ψ_{Z} [ω^{2}] (ω^{2})) = (0) (1^{ω}) (2, 2, 1)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ψ_{Z} [ω^{2}] (ω^{3})) = (0) (1^{ω}) (2, 2, 1, 1)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ψ_{Z} [ω^{2}, ω^{ω}] (ω^{ω})) = (0) (1^{ω}) (2, 2, 1^{ω})$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ψ_{Z} [ω^{2}, ω^{ω}] (ω^{ω + 1})) = (0) (1^{ω}) (2, 2, 1^{ω}) (3)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ψ_{Z} [ω^{2}, ω^{ω}] (ω^{ω \times 2})) = (0) (1^{ω}) (2, 2, 1^{ω}) (3, 1)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ψ_{Z} [ω^{2}, ω^{ω}] (ω^{ω^{ω}})) = (0) (1^{ω}) (2, 2, 1^{ω}) (3, 1^{ω})$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ψ_{Z} [ω^{2}, ω^{ω}] (ψ_{Z} (ω))) = (0) (1^{ω}) (2, 2, 1^{ω}) (3, 1^{ω}) (4, 2)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ψ_{Z} [ω^{2}, ω^{ω}] (ψ_{Z} [ω^{2}] (ω^{2}))) = (0) (1^{ω}) (2, 2, 1^{ω}) (3, 1^{ω}) (4, 2, 1)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ψ_{Z} [ω^{2}, ω^{ω}] (ψ_{Z} [ω^{2}, ω^{ω}] (ω^{ω}))) = (0) (1^{ω}) (2, 2, 1^{ω}) (3, 1^{ω}) (4, 2, 1^{ω})$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ψ_{Z} [ω^{2}] (ω^{ω})) = (0) (1^{ω}) (2, 2, 1^{ω}) (3, 2)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ψ_{Z} [ω^{2}, ω^{ω^{ω}}] (ω^{ω^{ω}})) = (0) (1^{ω}) (2, 2, 1^{ω}) (3, 2, 1^{ω})$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ψ_{Z} [ω^{2}] (ω^{ω^{ω}})) = (0) (1^{ω}) (2, 2, 1^{ω}) (3, 2, 1^{ω}) (4, 2)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ψ_{Z} [ω^{2}] (ψ_{Z} (ω))) = (0) (1^{ω}) (2, 2, 1^{ω}) (3, 3)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ψ_{Z} (ω^{2})) = (0) (1^{ω}) (2, 2, 2)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ψ_{Z} [ω^{ω}] (ω^{ω})) = (0) (1^{ω}) (2^{ω})$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ω^{ω + 1})) = (0) (1^{ω}) (2^{ω}) (3)$

$ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ψ_{Z} [ω^{ω}] (ω^{ω}))) = (0) (1^{ω}) (2^{ω}) (3^{ω})$

$ψ_{Z} [ω^{ω}] (ω^{ω + 1}) = (0) (1^{ω + 1})$

$ψ_{Z} [ω^{ω}, ω^{ω + 2}] (ω^{ω + 2}) = (0) (1^{ω + 1}) (2)$

$ψ_{Z} [ω^{ω}, ω^{ω + 2}] (ω^{ω \times 2}) = (0) (1^{ω + 1}) (2, 1)$

$ψ_{Z} [ω^{ω}, ω^{ω + 2}] (ω^{ω^{2}}) = (0) (1^{ω + 1}) (2, 1, 1)$

$ψ_{Z} [ω^{ω}, ω^{ω + 2}] (ω^{ω^{ω}}) = (0) (1^{ω + 1}) (2, 1^{ω})$

$ψ_{Z} [ω^{ω}, ω^{ω + 2}, ω^{ω^{ω + 1}}] (ω^{ω^{ω + 1}}) = (0) (1^{ω + 1}) (2, 1^{ω}) (3)$

$ψ_{Z} [ω^{ω}, ω^{ω + 2}, ω^{ω^{ω + 1}}] (ψ_{Z} [ω^{ω}] (ω^{ω + 1})) = (0) (1^{ω + 1}) (2, 1^{ω}) (3, 2^{ω}, 1)$

$ψ_{Z} [ω^{ω}, ω^{ω + 2}] (ω^{ω^{ω + 1}}) = (0) (1^{ω + 1}) (2, 1^{ω + 1})$

$ψ_{Z} [ω^{ω}, ω^{ω + 2}] (ψ_{Z} (ω)) = (0) (1^{ω + 1}) (2, 2)$

$ψ_{Z} [ω^{ω}, ω^{ω + 2}] (ψ_{Z} [ω^{ω}] (ω^{ω})) = (0) (1^{ω + 1}) (2^{ω})$

$ψ_{Z} [ω^{ω}, ω^{ω + 2}, ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ω^{ω + 1})] (ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ω^{ω + 1})) = (0) (1^{ω + 1}) (2^{ω}) (3)$

$ψ_{Z} [ω^{ω}, ω^{ω + 2}] (ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ω^{ω + 1})) = (0) (1^{ω + 1}) (2^{ω}, 1)$

$ψ_{Z} [ω^{ω}, ω^{ω + 2}] (ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ω^{ω + 2})) = (0) (1^{ω + 1}) (2^{ω}, 1) (3)$

$ψ_{Z} [ω^{ω}, ω^{ω + 2}] (ψ_{Z} [ω^{ω}, ω^{ω + 1}, ω^{ω \times 2}] (ω^{ω \times 2})) = (0) (1^{ω + 1}) (2^{ω}, 1) (3, 1)$

$ψ_{Z} [ω^{ω}, ω^{ω + 2}] (ψ_{Z} [ω^{ω}, ω^{ω + 1}, ω^{ω \times 2}] (ω^{ω^{ω + 1}})) = (0) (1^{ω + 1}) (2^{ω}, 1) (3, 1^{ω + 1})$

$ψ_{Z} [ω^{ω}, ω^{ω + 2}] (ψ_{Z} [ω^{ω}, ω^{ω + 1}, ω^{ω \times 2}] (ψ_{Z} (ω))) = (0) (1^{ω + 1}) (2^{ω}, 1) (3, 1^{ω + 1}) (4, 2)$

$ψ_{Z} [ω^{ω}, ω^{ω + 2}] (ψ_{Z} [ω^{ω}, ω^{ω + 1}, ω^{ω \times 2}] (ψ_{Z} [ω^{ω}] (ω^{ω}))) = (0) (1^{ω + 1}) (2^{ω}, 1) (3, 1^{ω + 1}) (4, 2^{ω})$

$ψ_{Z} [ω^{ω}, ω^{ω + 2}] (ψ_{Z} [ω^{ω}, ω^{ω + 1}, ω^{ω \times 2}] (ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ω^{ω + 1}))) = (0) (1^{ω + 1}) (2^{ω}, 1) (3, 1^{ω + 1}) (4, 2^{ω}, 1)$

$ψ_{Z} [ω^{ω}, ω^{ω + 2}] (ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ω^{ω \times 2})) = (0) (1^{ω + 1}) (2^{ω}, 1) (3, 2)$

$ψ_{Z} [ω^{ω}, ω^{ω + 2}] (ψ_{Z} [ω^{ω}, ω^{ω + 1}, ω^{ω^{2}}] (ω^{ω^{ω + 1}})) = (0) (1^{ω + 1}) (2^{ω}, 1) (3, 2, 1^{ω + 1})$

$ψ_{Z} [ω^{ω}, ω^{ω + 2}] (ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ω^{ω^{2}})) = (0) (1^{ω + 1}) (2^{ω}, 1) (3, 2, 2)$

$ψ_{Z} [ω^{ω}, ω^{ω + 2}] (ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ω^{ω^{ω}})) = (0) (1^{ω + 1}) (2^{ω}, 1) (3, 2^{ω})$

$ψ_{Z} [ω^{ω}, ω^{ω + 2}] (ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ω^{ω^{ω + 1}})) = (0) (1^{ω + 1}) (2^{ω}, 1) (3, 2^{ω}, 1)$

$ψ_{Z} [ω^{ω}, ω^{ω + 2}] (ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ψ_{Z} (ω))) = (0) (1^{ω + 1}) (2^{ω}, 1) (3, 3)$

$ψ_{Z} [ω^{ω}, ω^{ω + 2}] (ψ_{Z} [ω^{ω}, ω^{ω + 1}] (ψ_{Z} [ω^{ω}] (ω^{ω}))) = (0) (1^{ω + 1}) (2^{ω}, 1) (3^{ω})$

$ψ_{Z} [ω^{ω}, ω^{ω + 2}] (ψ_{Z} [ω^{ω}] (ω^{ω + 1})) = (0) (1^{ω + 1}) (2^{ω + 1})$

$ψ_{Z} [ω^{ω}] (ω^{ω + 2}) = (0) (1^{ω + 2})$

$ψ_{Z} [ω^{ω}] (ω^{ω \times 2}) = (0) (1^{ω \times 2})$

$ψ_{Z} [ω^{ω}] (ω^{ω^{2}}) = (0) (1^{ω^{2}})$

$ψ_{Z} [ω^{ω}] (ψ_{Z} (ω)) = (0) (1^{(0) (1, 1)})$

$ψ_{Z} [ω^{ω}, ψ_{Z} (ω + 1)] (ψ_{Z} (ω + 1)) = (0) (1^{(0) (1, 1)}) (2)$

$ψ_{Z} [ω^{ω}, ψ_{Z} (ω + 1)] (ψ_{Z} [ω \times 2] (ω \times 2)) = (0) (1^{(0) (1, 1)}) (2, 1)$

$ψ_{Z} [ω^{ω}, ψ_{Z} (ω + 1)] (ψ_{Z} [ω \times 2] (ψ_{Z} (ω))) = (0) (1^{(0) (1, 1)}) (2, 1^{(0) (1, 1)})$

$ψ_{Z} [ω^{ω}, ψ_{Z} (ω + 1)] (ψ_{Z} [ω \times 2] (ψ_{Z} (ω + 1))) = (0) (1^{(0) (1, 1)}) (2, 1^{(0) (1, 1)}) (3)$

$ψ_{Z} [ω^{ω}, ψ_{Z} (ω + 1)] (ψ_{Z} (ω \times 2)) = (0) (1^{(0) (1, 1)}) (2, 2)$

$ψ_{Z} [ω^{ω}, ψ_{Z} (ω + 1)] (ψ_{Z} [ω^{ω}] (ψ_{Z} (ω))) = (0) (1^{(0) (1, 1)}) (2^{(0) (1, 1)})$

$ψ_{Z} [ω^{ω}] (ψ_{Z} (ω + 1)) = (0) (1^{(0) (1, 1) (0)})$

$ψ_{Z} [ω^{ω}] (ψ_{Z} [ω^{ω}] (ω^{ω})) = (0) (1^{(0) (1^{ω})})$

$ψ_{Z} (ω^{ω}) = (0) (1^{Ω})$

@@ 第128行： / 第128行： @@
 <math>\psi_Z[\omega^\omega, \omega^{\omega+2}](\psi_Z(\omega)) = (0)(1^{\omega+1})(2,2)</math>
+<math>\psi_Z[\omega^\omega, \omega^{\omega+2}](\psi_Z[\omega^\omega](\omega^\omega)) = (0)(1^{\omega+1})(2^\omega)</math>
 <math>\psi_Z[\omega^\omega, \omega^{\omega+2}, \psi_Z[\omega^\omega, \omega^{\omega+1}](\omega^{\omega+1})](\psi_Z[\omega^\omega, \omega^{\omega+1}](\omega^{\omega+1})) = (0)(1^{\omega+1})(2^\omega)(3)</math>
@@ 第168行： / 第170行： @@
 <math>\psi_Z[\omega^\omega](\psi_Z(\omega)) = (0)(1^{(0)(1,1)})</math>
+<math>\psi_Z[\omega^\omega, \psi_Z(\omega+1)](\psi_Z(\omega+1)) = (0)(1^{(0)(1,1)})(2)</math>
+<math>\psi_Z[\omega^\omega, \psi_Z(\omega+1)](\psi_Z[\omega \times 2](\omega \times 2)) = (0)(1^{(0)(1,1)})(2,1)</math>
+<math>\psi_Z[\omega^\omega, \psi_Z(\omega+1)](\psi_Z[\omega \times 2](\psi_Z(\omega))) = (0)(1^{(0)(1,1)})(2,1^{(0)(1,1)})</math>
+<math>\psi_Z[\omega^\omega, \psi_Z(\omega+1)](\psi_Z[\omega \times 2](\psi_Z(\omega+1))) = (0)(1^{(0)(1,1)})(2,1^{(0)(1,1)})(3)</math>
+<math>\psi_Z[\omega^\omega, \psi_Z(\omega+1)](\psi_Z(\omega \times 2)) = (0)(1^{(0)(1,1)})(2,2)</math>
+<math>\psi_Z[\omega^\omega, \psi_Z(\omega+1)](\psi_Z[\omega^\omega](\psi_Z(\omega))) = (0)(1^{(0)(1,1)})(2^{(0)(1,1)})</math>
+<math>\psi_Z[\omega^\omega](\psi_Z(\omega+1)) = (0)(1^{(0)(1,1)(0)})</math>
 <math>\psi_Z[\omega^\omega](\psi_Z[\omega^\omega](\omega^\omega)) = (0)(1^{(0)(1^\omega)})</math>
 <math>\psi_Z(\omega^\omega) = (0)(1^\Omega)</math>
+[[分类:分析]]