投影 VS 反射稳定：修订间差异

2026年6月23日 (二) 20:16的最新版本

1


投影序数	反射序数	常规表示
$ψ_{a} (0)$	$m i n 2$	$Ω$
$ψ_{a} (0) \times 2$	$(1 -)^{(2)} a f t 2$	$Ω \times 2$
$ψ_{a} (0) \times 3$	$2 n d (1 -)^{(2)} a f t 2$	$Ω \times 3$
$ψ_{a} (1)$	$(1 -)^{(2) + 1} a f t 2$	$Ω \times ω$
$ψ_{a} (2)$	$(1 -)^{(2) + 2} a f t 2$	$Ω \times ω^{2}$
$ψ_{a} (ω)$	$(1 -)^{(2) + ω} a f t 2$	$Ω \times ω^{ω}$
$ψ_{a} (B O)$	$(1 -)^{(2) + B O} a f t 2$	$Ω \times B O$
$ψ_{a} (ψ_{a} (0))$	$(1 -)^{(1 -)^{(2)} a f t 2} a f t 2$	$Ω^{2}$
$ψ_{a} (ψ_{a} (0) + 1)$	$(1 -)^{(1 -)^{(2)} a f t 2 + 1} a f t 2$	$Ω^{2} \times ω$
$ψ_{a} (ψ_{a} (0) \times 2)$	$(1 -)^{2 n d (1 -)^{(2)} a f t 2} a f t 2$	$Ω^{3}$
$ψ_{a} (ψ_{a} (1))$	$(1 -)^{(1 -)^{(2) + 1} a f t 2} a f t 2$	$Ω^{ω}$
$ψ_{a} (ψ_{a} (ψ_{a} (0)))$	$(1 -)^{(1 -)^{(1 -)^{(2)} a f t 2} a f t 2} a f t 2$	$Ω^{Ω}$
$ψ_{a} (ψ_{a} (ψ_{a} (ψ_{a} (0))))$	$(1 -)^{(1 -)^{(1 -)^{(1 -)^{(2)} a f t 2} a f t 2} a f t 2} a f t 2$	$Ω^{Ω^{Ω}}$
$ψ_{a} (a)$	$(1 -)^{a} a f t 2$	$ψ_{1} (Ω_{2})$
$ψ_{a} (a) \times 2$	$(1 -)^{(1 -)^{a} a f t 2} a f t (1 -)^{a} a f t 2$	$ψ_{1} (Ω_{2}) \times 2$
$ψ_{a} (a + 1)$	$(1 -)^{(1 -)^{a} a f t 2 + 1} a f t (1 -)^{a} a f t 2$	$ψ_{1} (Ω_{2} + 1)$
$ψ_{a} (a + ψ_{a} (a))$	$(1 -)^{(1 -)^{(1 -)^{a} a f t 2} a f t (1 -)^{a} a f t 2} a f t (1 -)^{a} a f t 2$	$ψ_{1} (Ω_{2} + ψ_{1} (Ω_{2}))$
$ψ_{a} (a \times 2)$	$2 n d (1 -)^{a} a f t 2$	$ψ_{1} (Ω_{2} \times 2)$
$ψ_{a} (a \times 3)$	$3 r d (1 -)^{a} a f t 2$	$ψ_{1} (Ω_{2} \times 3)$
$ψ_{a} (a \times ω)$	$(1 -)^{a + 1} a f t 2$	$ψ_{1} (Ω_{2} \times ω)$
$ψ_{a} (a \times ψ_{a} (a))$	$(1 -)^{a + (1 -)^{a} a f t 2} a f t 2$	$ψ_{1} (Ω_{2} \times ψ_{1} (Ω_{2}))$
$ψ_{a} (a^{2})$	$(1 -)^{a \times 2} a f t 2$	$ψ_{1} (Ω_{2}^{2})$
$ψ_{a} (a^{2} + a)$	$(1 -)^{a} a f t (1 -)^{a \times 2} a f t 2$	$ψ_{1} (Ω_{2}^{2} + Ω_{2})$
$ψ_{a} (a^{2} + a \times ψ_{a} (a^{2}))$	$(1 -)^{a + (1 -)^{a \times 2} a f t 2} a f t (1 -)^{a \times 2} a f t 2$	$ψ_{1} (Ω_{2}^{2} + Ω_{2} \times ψ_{1} (Ω_{2}^{2}))$
$ψ_{a} (a^{2} \times 2)$	$2 n d (1 -)^{a \times 2} a f t 2$	$ψ_{1} (Ω_{2}^{2} \times 2)$
$ψ_{a} (a^{2} \times ω)$	$(1 -)^{a \times 2 + 1} a f t 2$	$ψ_{1} (Ω_{2}^{2} \times ω)$
$ψ_{a} (a^{3})$	$(1 -)^{a \times 3} a f t 2$	$ψ_{1} (Ω_{2}^{3})$
$ψ_{a} (a^{ω})$	$(1 -)^{a \times ω} a f t 2$	$ψ_{1} (Ω_{2}^{ω})$
$ψ_{a} (a^{a})$	$(1 -)^{a^{2}} a f t 2$	$ψ_{1} (Ω_{2}^{Ω_{2}})$
$ψ_{a} (a^{a + 1})$	$(1 -)^{a^{2} + a} a f t 2$	$ψ_{1} (Ω_{2}^{Ω_{2} + 1})$
$ψ_{a} (a^{a + ω})$	$(1 -)^{a^{2} + a \times ω} a f t 2$	$ψ_{1} (Ω_{2}^{Ω_{2} + ω})$
$ψ_{a} (a^{a \times 2})$	$(1 -)^{a^{2} \times 2} a f t 2$	$ψ_{1} (Ω_{2}^{Ω_{2} \times 2})$
$ψ_{a} (a^{a \times ω})$	$(1 -)^{a^{2} \times ω} a f t 2$	$ψ_{1} (Ω_{2}^{Ω_{2} \times ω})$
$ψ_{a} (a^{a^{2}})$	$(1 -)^{a^{3}} a f t 2$	$ψ_{1} (Ω_{2}^{Ω_{2}^{2}})$
$ψ_{a} (a^{a^{3}})$	$(1 -)^{a^{4}} a f t 2$	$ψ_{1} (Ω_{2}^{Ω_{2}^{3}})$
$ψ_{a} (a^{a^{ω}})$	$(1 -)^{a^{ω}} a f t 2$	$ψ_{1} (Ω_{2}^{Ω_{2}^{ω}})$
$ψ_{a} (a^{a^{a}})$	$(1 -)^{a^{a}} a f t 2$	$ψ_{1} (Ω_{2}^{Ω_{2}^{Ω_{2}}})$
$ψ_{a} (ε_{a + 1})$	$(1 -)^{ε_{a + 1}} a f t 2$	$ψ_{1} (Ω_{3})$
$ψ_{a} (ζ_{a + 1})$	$(1 -)^{ζ_{a + 1}} a f t 2$	$ψ_{1} (Ω_{3}^{2})$
$ψ_{a} (Γ_{a + 1})$	$(1 -)^{Γ_{a + 1}} a f t 2$	$ψ_{1} (Ω_{3}^{Ω_{3}})$
$ψ_{a} (B H O (a + 1))$	$(1 -)^{B H O (a + 1)} a f t 2$	$ψ_{1} (Ω_{4})$
$ψ_{a} (B O (a + 1))$	$(1 -)^{B O (a + 1)} a f t 2$	$ψ_{1} (Ω_{ω})$
$ψ_{a} (Ω_{a + 1})$	$2 n d 2$	$Ω_{2}$
$ψ_{a} (Ω_{a + 1} + 1)$	$(1 -)^{2 n d 2} a f t 2 n d 2$	$Ω_{2} \times ω$
$ψ_{a} (Ω_{a + 1} + ψ_{a} (Ω_{a + 1}))$	$(1 -)^{(1 -)^{2 n d 2} a f t 2 n d 2} a f t 2 n d 2$	$Ω_{2}^{2}$
$ψ_{a} (Ω_{a + 1} + ψ_{a} (Ω_{a + 1}) \times 2)$	$(1 -)^{2 n d (1 -)^{2 n d 2} a f t 2 n d 2} a f t 2 n d 2$	$Ω_{2}^{3}$
$ψ_{a} (Ω_{a + 1} + ψ_{a} (Ω_{a + 1} + 1))$	$(1 -)^{(1 -)^{O r d a f t 2 n d 2} a f t 2 n d 2} a f t 2 n d 2$	$Ω_{2}^{ω}$
$ψ_{a} (Ω_{a + 1} + ψ_{a} (Ω_{a + 1} + ψ_{a} (Ω_{a + 1})))$	$(1 -)^{(1 -)^{(1 -)^{2 n d 2} a f t 2 n d 2} a f t 2 n d 2} a f t 2 n d 2$	$Ω_{2}^{Ω_{2}}$
$ψ_{a} (Ω_{a + 1} + a)$	$(1 -)^{a} a f t 2 n d 2$	$ψ_{2} (Ω_{3})$
$ψ_{a} (Ω_{a + 1} + a^{a})$	$(1 -)^{a^{2}} a f t 2 n d 2$	$ψ_{2} (Ω_{3}^{Ω_{3}})$
$ψ_{a} (Ω_{a + 1} + ε_{a + 1})$	$(1 -)^{ε_{a + 1}} a f t 2 n d 2$	$ψ_{2} (Ω_{4})$
$ψ_{a} (Ω_{a + 1} + B O (a + 1))$	$(1 -)^{B O (a + 1)} a f t 2 n d 2$	$ψ_{2} (Ω_{ω})$
$ψ_{a} (Ω_{a + 1} \times 2)$	$3 r d 2$	$Ω_{3}$
$ψ_{a} (Ω_{a + 1} \times 2 + a)$	$(1 -)^{a} a f t 3 r d 2$	$ψ_{3} (Ω_{4})$
$ψ_{a} (Ω_{a + 1} \times 3)$	$4 t h 2$	$Ω_{4}$
$ψ_{a} (Ω_{a + 1} \times ω)$	$1 - 2$	$Ω_{ω}$
$ψ_{a} (Ω_{a + 1} \times ω \times 2)$	$2 n d 1 - 2$	$Ω_{ω \times 2}$
$ψ_{a} (Ω_{a + 1} \times ω^{2})$	$1 - 1 - 2$	$Ω_{ω^{2}}$
$ψ_{a} (Ω_{a + 1} \times ω^{ω})$	$(1 -)^{ω} 2$	$Ω_{ω^{ω}}$
$ψ_{a} (Ω_{a + 1} \times ψ_{a} (0))$	$(1 -)^{(2)} 2$	$Ω_{Ω}$
$ψ_{a} (Ω_{a + 1} \times ψ_{a} (Ω_{a + 1} \times ω))$	$(1 -)^{1 - 2} 2$	$Ω_{Ω_{ω}}$
$ψ_{a} (Ω_{a + 1} \times a)$	$(1 -)^{a} 2$	$O F P = ψ_{I} (I)$
$ψ_{a} (Ω_{a + 1} \times a + Ω_{a + 1})$	$2 a f t (1 -)^{a} 2$	$ψ_{I} (I + 1)$
$ψ_{a} (Ω_{a + 1} \times a + Ω_{a + 1} \times ψ_{a} (Ω_{a + 1} \times a))$	$(1 -)^{(1 -)^{a} 2} 2 a f t (1 -)^{a} 2$	$ψ_{I} (I + ψ_{I} (I))$
$ψ_{a} (Ω_{a + 1} \times a \times 2)$	$2 n d (1 -)^{a} 2$	$ψ_{I} (I \times 2)$
$ψ_{a} (Ω_{a + 1} \times a \times ω)$	$(1 -)^{a + 1} 2$	$ψ_{I} (I \times ω)$
$ψ_{a} (Ω_{a + 1} \times a \times ψ_{a} (Ω_{a + 1} \times a))$	$(1 -)^{a + (1 -)^{a} 2} 2$	$ψ_{I} (I \times ψ_{I} (I))$
$ψ_{a} (Ω_{a + 1} \times a^{2})$	$(1 -)^{a \times 2} 2$	$ψ_{I} (I^{2})$
$ψ_{a} (Ω_{a + 1} \times a^{3})$	$(1 -)^{a \times 3} 2$	$ψ_{I} (I^{3})$
$ψ_{a} (Ω_{a + 1} \times a^{a})$	$(1 -)^{a^{2}} 2$	$ψ_{I} (I^{I})$
$ψ_{a} (Ω_{a + 1} \times ε_{a + 1})$	$(1 -)^{ε_{a + 1}} 2$	$ψ_{I} (Ω_{I + 1})$
$ψ_{a} (Ω_{a + 1} \times B O (a + 1))$	$(1 -)^{B O (a + 1)} 2$	$ψ_{I} (Ω_{I + ω})$
$ψ_{a} (Ω_{a + 1} \times S H O (a + 1))$	$(1 -)^{S H O (a + 1)} 2$	$ψ_{I} (ψ_{H} (ε_{H + 1}))$
$ψ_{a} (Ω_{a + 1}^{2})$	$2 1 - 2$	$I$
$ψ_{a} (Ω_{a + 1}^{2} + Ω_{a + 1})$	$2 a f t 2 1 - 2$	$Ω_{I + 1}$
$ψ_{a} (Ω_{a + 1}^{2} + Ω_{a + 1} \times ω)$	$1 - 2 a f t 2 1 - 2$	$Ω_{I + ω}$
$ψ_{a} (Ω_{a + 1}^{2} + Ω_{a + 1} \times ψ_{a} (Ω_{a + 1}^{2}))$	$(1 -)^{2 1 - 2} 2 a f t 2 1 - 2$	$Ω_{I \times 2}$
$ψ_{a} (Ω_{a + 1}^{2} + Ω_{a + 1} \times ψ_{a} (Ω_{a + 1}^{2} + 1))$	$(1 -)^{O r d a f t 2 1 - 2} 2 a f t 2 1 - 2$	$Ω_{I \times ω}$
$ψ_{a} (Ω_{a + 1}^{2} + Ω_{a + 1} \times ψ_{a} (Ω_{a + 1}^{2} + ψ_{a} (Ω_{a + 1}^{2})))$	$(1 -)^{(1 -)^{2 1 - 2} a f t 2 1 - 2} 2 a f t 2 1 - 2$	$Ω_{I^{2}}$
$ψ_{a} (Ω_{a + 1}^{2} + Ω_{a + 1} \times ψ_{a} (Ω_{a + 1}^{2} + a))$	$(1 -)^{(1 -)^{a} a f t 2 1 - 2} 2 a f t 2 1 - 2$	$Ω_{ε_{I + 1}}$

@@ 第201行： / 第201行： @@
 |-
 |<math>\psi_a(\Omega_{a+1}+a)</math>
-|<math>(1-)^a~aft~2</math>
+|<math>(1-)^a~aft~2nd~2</math>
 |<math>\psi_2(\Omega_3)</math>
 |-
 |<math>\psi_a(\Omega_{a+1}+a^a)</math>
-|<math>(1-)^{a^2}~aft~2</math>
+|<math>(1-)^{a^2}~aft~2nd~2</math>
 |<math>\psi_2(\Omega_3^{\Omega_3})</math>
 |-
 |<math>\psi_a(\Omega_{a+1}+\varepsilon_{a+1})</math>
-|<math>(1-)^{\varepsilon_{a+1}}~aft~2</math>
+|<math>(1-)^{\varepsilon_{a+1}}~aft~2nd~2</math>
 |<math>\psi_2(\Omega_4)</math>
 |-
 |<math>\psi_a(\Omega_{a+1}+BO(a+1))</math>
-|<math>(1-)^{BO(a+1)}~aft~2</math>
+|<math>(1-)^{BO(a+1)}~aft~2nd~2</math>
 |<math>\psi_2(\Omega_\omega)</math>
 |-
 |<math>\psi_a(\Omega_{a+1}\times2)</math>
-|<math>2nd~2</math>
+|<math>3rd~2</math>
 |<math>\Omega_3</math>
 |-
 |<math>\psi_a(\Omega_{a+1}\times2+a)</math>
-|<math>(1-)^a~aft~2nd~2</math>
+|<math>(1-)^a~aft~3rd~2</math>
 |<math>\psi_3(\Omega_4)</math>
 |-
 |<math>\psi_a(\Omega_{a+1}\times3)</math>
-|<math>3rd~2</math>
+|<math>4th~2</math>
 |<math>\Omega_4</math>
 |-
@@ 第258行： / 第258行： @@
 |<math>\psi_a(\Omega_{a+1}\times a+\Omega_{a+1})</math>
 |<math>2~aft~(1-)^a~2</math>
-|<math>\rm \psi_I(I+1)</math>
+|<math>\psi_I(I+1)</math>
 |-
 |<math>\psi_a(\Omega_{a+1}\times a+\Omega_{a+1}\times\psi_a(\Omega_{a+1}\times a))</math>
 |<math>(1-)^{(1-)^a~2}~2~aft~(1-)^a~2</math>
-|<math>\rm \psi_I(I+\psi_I(I))</math>
+|<math>\psi_I(I+\psi_I(I))</math>
 |-
 |<math>\psi_a(\Omega_{a+1}\times a\times2)</math>
 |<math>2nd~(1-)^a~2</math>
-|<math>\rm \psi_I(I\times2)</math>
+|<math>\psi_I(I\times2)</math>
 |-
 |<math>\psi_a(\Omega_{a+1}\times a\times\omega)</math>
 |<math>(1-)^{a+1}~2</math>
-|<math>\rm \psi_I(I\times\omega)</math>
+|<math>\psi_I(I\times\omega)</math>
 |-
 |<math>\psi_a(\Omega_{a+1}\times a\times\psi_a(\Omega_{a+1}\times a))</math>
 |<math>(1-)^{a+(1-)^a~2}~2</math>
-|<math>\rm \psi_I(I\times\psi_I(I))</math>
+|<math>\psi_I(I\times\psi_I(I))</math>
 |-
 |<math>\psi_a(\Omega_{a+1}\times a^2)</math>
 |<math>(1-)^{a\times2}~2</math>
-|<math>\rm \psi_I(I^2)</math>
+|<math>\psi_I(I^2)</math>
 |-
 |<math>\psi_a(\Omega_{a+1}\times a^3)</math>
 |<math>(1-)^{a\times3}~2</math>
-|<math>\rm \psi_I(I^3)</math>
+|<math>\psi_I(I^3)</math>
 |-
 |<math>\psi_a(\Omega_{a+1}\times a^a)</math>
 |<math>(1-)^{a^2}~2</math>
-|<math>\rm \psi_I(I^I)</math>
+|<math>\psi_I(I^I)</math>
 |-
 |<math>\psi_a(\Omega_{a+1}\times \varepsilon_{a+1})</math>
 |<math>(1-)^{\varepsilon_{a+1}}~2</math>
-|<math>\rm \psi_I(\Omega_{I+1})</math>
+|<math>\psi_I(\Omega_{I+1})</math>
 |-
 |<math>\psi_a(\Omega_{a+1}\times BO(a+1))</math>
 |<math>(1-)^{BO(a+1)}~2</math>
-|<math>\rm \psi_I(\Omega_{I+\omega})</math>
+|<math>\psi_I(\Omega_{I+\omega})</math>
 |-
 |<math>\psi_a(\Omega_{a+1}\times SHO(a+1))</math>
 |<math>(1-)^{SHO(a+1)}~2</math>
-|<math>\rm \psi_I(\psi_H(\varepsilon_{H+1}))</math>
+|<math>\psi_I(\psi_H(\varepsilon_{H+1}))</math>
 |-
 |<math>\psi_a(\Omega_{a+1}^2)</math>
 |<math>2~1-2</math>
-|<math>\rm I</math>
+|<math>I</math>
 |-
 |<math>\psi_a(\Omega_{a+1}^2+\Omega_{a+1})</math>
 |<math>2~aft~2~1-2</math>
-|<math>\rm \Omega_{I+1}</math>
+|<math>\Omega_{I+1}</math>
 |-
 |<math>\psi_a(\Omega_{a+1}^2+\Omega_{a+1}\times\omega)</math>
 |<math>1-2~aft~2~1-2</math>
-|<math>\rm \Omega_{I+\omega}</math>
+|<math>\Omega_{I+\omega}</math>
 |-
 |<math>\psi_a(\Omega_{a+1}^2+\Omega_{a+1}\times\psi_a(\Omega_{a+1}^2))</math>
 |<math>(1-)^{2~1-2}~2~aft~2~1-2</math>
-|<math>\rm \Omega_{I\times2}</math>
+|<math>\Omega_{I\times2}</math>
 |-
 |<math>\psi_a(\Omega_{a+1}^2+\Omega_{a+1}\times\psi_a(\Omega_{a+1}^2+1))</math>
 |<math>(1-)^{Ord~aft~2~1-2}~2~aft~2~1-2</math>
-|<math>\rm \Omega_{I\times\omega}</math>
+|<math>\Omega_{I\times\omega}</math>
 |-
 |<math>\psi_a(\Omega_{a+1}^2+\Omega_{a+1}\times\psi_a(\Omega_{a+1}^2+\psi_a(\Omega_{a+1}^2)))</math>
 |<math>(1-)^{(1-)^{2~1-2}~aft~2~1-2}~2~aft~2~1-2</math>
-|<math>\rm \Omega_{I^2}</math>
+|<math>\Omega_{I^2}</math>
 |-
 |<math>\psi_a(\Omega_{a+1}^2+\Omega_{a+1}\times\psi_a(\Omega_{a+1}^2+a))</math>
 |<math>(1-)^{(1-)^a~aft~2~1-2}~2~aft~2~1-2</math>
-|<math>\rm \Omega_{\varepsilon_{I+1}}</math>
+|<math>\Omega_{\varepsilon_{I+1}}</math>
 |}
 [[分类:分析]]