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非递归BMS分析:修订间差异

来自Googology Wiki
Z留言 | 贡献
无编辑摘要
Z留言 | 贡献
无编辑摘要
第426行: 第426行:
|<math>(1,1,1)(2,2,1)(3,2)(4,3,1,1)</math>
|<math>(1,1,1)(2,2,1)(3,2)(4,3,1,1)</math>
|<math>\psi_\mathrm{I}(\omega-proj.)</math>
|<math>\psi_\mathrm{I}(\omega-proj.)</math>
|-
|<math>(1,1,1)(2,2,1)(3,2,1)</math>
|<math>\mathrm{I}</math>
|}
== 5 ==
{| class="wikitable"
|+
!非递归BMS
!其他记号
|-
|-
|<math>(1,1,1)(2,2,1)(3,2,1)</math>
|<math>(1,1,1)(2,2,1)(3,2,1)</math>
第462行: 第471行:
|<math>(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,2)</math>
|<math>(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,2)</math>
|<math>\psi_{\mathrm{I}_2}(\mathrm{I}_2)</math>
|<math>\psi_{\mathrm{I}_2}(\mathrm{I}_2)</math>
|-
|<math>(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,2)(2,2,1)(3,1,1)(4,2,1)(5,2,1)(4,2,1)(5,2)</math>
|<math>\psi_{\mathrm{I}_2}(\mathrm{I}_2+\psi_{\mathrm{I}_2}(\mathrm{I}_2))</math>
|-
|<math>(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,2)(2,2,1)(3,2)</math>
|<math>\psi_{\mathrm{I}_2}(\mathrm{I}_2\times2)</math>
|-
|<math>(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,2)(3,2)</math>
|<math>\psi_{\mathrm{I}_2}(\mathrm{I}_2^2)</math>
|-
|<math>(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,2)(4,3)</math>
|<math>\psi_{\mathrm{I}_2}(\Omega_{\mathrm{I}_2+1})</math>
|-
|<math>(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,2)(4,3,1,1)</math>
|<math>\psi_{\mathrm{I}_2}(\omega-proj.)</math>
|-
|<math>(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,2,1)</math>
|<math>\mathrm{I}_2</math>
|-
|<math>(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,2,1)(2,2,1)</math>
|<math>\Omega_{\mathrm{I}_2+1}</math>
|-
|<math>(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,2,1)(2,2,1)(3,1,1)(4,2,1)(5,2,1)(4,2,1)(5,2,1)</math>
|<math>\Omega_{\mathrm{I}_2\times2}</math>
|-
|<math>(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,2,1)(2,2,1)(3,2)</math>
|<math>\psi_{\mathrm{I}_3}(\mathrm{I}_3)</math>
|-
|<math>(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,2,1)(2,2,1)(3,2)(4,3,1,1)</math>
|<math>\psi_{\mathrm{I}_2}(\omega-proj.)</math>
|-
|<math>(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,2,1)(2,2,1)(3,2,1)</math>
|<math>\mathrm{I}_3</math>
|-
|<math>(1,1,1)(2,2,1)(3,2,1)(3)</math>
|<math>\mathrm{I}_\omega</math>
|}
|}
[[分类:分析]]
[[分类:分析]]

2025年7月20日 (日) 10:12的版本

本条目展示非递归BMS和其他非递归记号的列表分析

1

非递归BMS 其他记号
0
(1) 1
(1)(1) 2
(1)(2) ω
(1)(2)(1) ω+1
(1)(2)(2) ω2
(1)(2)(3) ωω
(1)(2,1) ε0
(1)(2,1,1) ψ(Ωω)
(1,1) Ω

2

非递归BMS 其他记号
(1,1) Ω
(1,1)(1) Ω+1
(1,1)(1)(2) Ω+ω
(1,1)(1)(2,1) Ω+ε0
(1,1)(1)(2,1,1) Ω+ψ(Ωω)
(1,1)(1,1) Ω×2
(1,1)(1,1)(1,1) Ω×3
(1,1)(2) Ω×ω
(1,1)(2)(1,1) Ω×ω+Ω
(1,1)(2)(2) Ω×ω2
(1,1)(2)(3,1,1) Ω×ψ(Ωω)
(1,1)(2,1) Ω2
(1,1)(2,1)(1,1)(2,1) Ω2×2
(1,1)(2,1)(2) Ω2×ω
(1,1)(2,1)(2)(3,1,1) Ω2×ψ(Ωω)
(1,1)(2,1)(2,1) Ω3
(1,1)(2,1)(2,1)(2,1) Ω4
(1,1)(2,1)(3) Ωω
(1,1)(2,1)(3)(4,1,1) Ωψ(Ωω)
(1,1)(2,1)(3,1) ΩΩ
(1,1)(2,1)(3,1)(4,1) ΩΩΩ
(1,1)(2,2) ψ1(Ω2)
(1,1)(2,2)(2,1) ψ1(Ω2+Ω)
(1,1)(2,2)(2,1)(2,1) ψ1(Ω2+Ω×2)
(1,1)(2,2)(2,1)(3) ψ1(Ω2+Ω×ω)
(1,1)(2,2)(2,1)(3,1) ψ1(Ω2+Ω2)
(1,1)(2,2)(2,1)(3,2) ψ1(Ω2+ψ1(Ω2))
(1,1)(2,2)(2,1)(3,2)(2,1)(3,2) ψ1(Ω2+ψ1(Ω2)×2)
(1,1)(2,2)(2,1)(3,2)(3) ψ1(Ω2+ψ1(Ω2+1))
(1,1)(2,2)(2,1)(3,2)(3,1)(4,2) ψ1(Ω2+ψ1(Ω2+ψ1(Ω2)))
(1,1)(2,2)(2,2) ψ1(Ω2×2)
(1,1)(2,2)(3) ψ1(Ω2×ω)
(1,1)(2,2)(3,1)(4,2) ψ1(Ω2×ψ1(Ω2))
(1,1)(2,2)(3,2) ψ1(Ω22)
(1,1)(2,2)(3,2)(4,2) ψ1(Ω2Ω2)
(1,1)(2,2)(3,3) ψ1(Ω3)
(1,1)(2,2,1) ψ1(Ωω)
(1,1)(2,2,1)(3,2,1) ψ1(Ωω2)
(1,1)(2,2,1)(3,2,1)(4,1) ψ1(ΩΩ)
(1,1)(2,2,1,1) ψ1(ωproj.)
(1,1,1) Ω2

3

非递归BMS 其他记号
(1,1,1) Ω2
(1,1,1)(1,1) Ω2+Ω
(1,1,1)(1,1)(2,2,1,1) Ω2+ψ1(ωproj.)
(1,1,1)(1,1,1) Ω2×2
(1,1,1)(2) Ω2×ω
(1,1,1)(2,1) Ω2×Ω
(1,1,1)(2,1)(2,1) Ω2×Ω2
(1,1,1)(2,1)(3,2) Ω2×ψ1(Ω2)
(1,1,1)(2,1)(3,2,1,1) Ω2×ψ1(ωproj.)
(1,1,1)(2,1,1) Ω22
(1,1,1)(2,1,1)(2,1,1) Ω23
(1,1,1)(2,1,1)(3,1,1) Ω2Ω2
(1,1,1)(2,2) ψ2(Ω3)
(1,1,1)(2,2)(2,1,1)(3,2) ψ2(Ω3+ψ2(Ω3))
(1,1,1)(2,2)(2,2) ψ2(Ω3×2)
(1,1,1)(2,2)(3,1,1)(4,2) ψ2(Ω3×ψ2(Ω3))
(1,1,1)(2,2)(3,2) ψ2(Ω32)
(1,1,1)(2,2)(3,3) ψ2(Ω4)
(1,1,1)(2,2)(3,3,1) ψ2(Ωω)
(1,1,1)(2,2)(3,3,1)(4,3,1)(5,1) ψ2(ΩΩ)
(1,1,1)(2,2)(3,3,1)(4,3,1)(5,1,1) ψ2(ΩΩ2)
(1,1,1)(2,2)(3,3,1,1) ψ2(ωproj.)
(1,1,1)(2,2,1) Ω3
(1,1,1)(2,2,1)(2,1) Ω3×Ω
(1,1,1)(2,2,1)(2,1,1) Ω3×Ω2
(1,1,1)(2,2,1)(2,1,1)(2,1,1) Ω3×Ω22
(1,1,1)(2,2,1)(2,1,1)(3,2) Ω3×ψ2(Ω3)
(1,1,1)(2,2,1)(2,1,1)(3,2)(3,2) Ω3×ψ2(Ω3×2)
(1,1,1)(2,2,1)(2,1,1)(3,2)(4,3) Ω3×ψ2(Ω4)
(1,1,1)(2,2,1)(2,1,1)(3,2)(4,3,1,1) Ω3×ψ2(ωproj.)
(1,1,1)(2,2,1)(2,1,1)(3,2,1) Ω32
(1,1,1)(2,2,1)(2,1,1)(3,2,1)(2,1,1)(3,2,1) Ω33
(1,1,1)(2,2,1)(2,1,1)(3,2,1)(3) Ω3ω
(1,1,1)(2,2,1)(2,1,1)(3,2,1)(3,1,1)(4,2,1) Ω3Ω3
(1,1,1)(2,2,1)(2,2) ψ3(Ω4)
(1,1,1)(2,2,1)(2,2)(2,2) ψ3(Ω4×2)
(1,1,1)(2,2,1)(2,2)(3,3,1) ψ3(Ωω)
(1,1,1)(2,2,1)(2,2)(3,3,1,1) ψ3(ωproj.)
(1,1,1)(2,2,1)(2,2,1) Ω4
(1,1,1)(2,2,1)(2,2,1)(2,2,1) Ω5
(1,1,1)(2,2,1)(3) Ωω

4

非递归BMS 其他记号
(1,1,1)(2,2,1)(3) Ωω
(1,1,1)(2,2,1)(3,1) ΩΩ
(1,1,1)(2,2,1)(3,1)(2,2,1)(3,1) ΩΩ×2
(1,1,1)(2,2,1)(3,1)(3,1) ΩΩ2
(1,1,1)(2,2,1)(3,1)(4,2) Ωψ1(Ω2)
(1,1,1)(2,2,1)(3,1)(4,2,1,1) Ωψ1(ωproj.)
(1,1,1)(2,2,1)(3,1,1) ΩΩ2
(1,1,1)(2,2,1)(3,1,1)(4,2) Ωψ2(Ω3)
(1,1,1)(2,2,1)(3,1,1)(4,2)(5,3,1,1) Ωψ2(ωproj.)
(1,1,1)(2,2,1)(3,1,1)(4,2,1) ΩΩ3
(1,1,1)(2,2,1)(3,1,1)(4,2,1)(4,2,1) ΩΩ4
(1,1,1)(2,2,1)(3,1,1)(4,2,1)(5) ΩΩω
(1,1,1)(2,2,1)(3,1,1)(4,2,1)(5,1,1) ΩΩΩ2
(1,1,1)(2,2,1)(3,1,1)(4,2,1)(5,1,1)(6,2,1) ΩΩΩ3
(1,1,1)(2,2,1)(3,1,1)(4,2,1)(5,1,1)(6,2,1)(7) ΩΩΩω
(1,1,1)(2,2,1)(3,2) ψI(I)
(1,1,1)(2,2,1)(3,2)(2,2,1) ψI(I+1)
(1,1,1)(2,2,1)(3,2)(2,2,1)(3,1,1) ψI(I+Ω2)
(1,1,1)(2,2,1)(3,2)(2,2,1)(3,1,1)(4,2,1)(5,2) ψI(I+ψI(I))
(1,1,1)(2,2,1)(3,2)(2,2,1)(3,1,1)(4,2,1)(5,2)(2,2,1)(3,1,1)(4,2,1)(5,2) ψI(I+ψI(I)×2)
(1,1,1)(2,2,1)(3,2)(2,2,1)(3,1,1)(4,2,1)(5,2)(3,1,1) ψI(I+ψI(I)×Ω2)
(1,1,1)(2,2,1)(3,2)(2,2,1)(3,1,1)(4,2,1)(5,2)(3,1,1)(4,2,1)(5,2) ψI(I+ψI(I)2)
(1,1,1)(2,2,1)(3,2)(2,2,1)(3,1,1)(4,2,1)(5,2)(4,1,1)(5,2,1)(6,2) ψI(I+ψI(I)ψI(I))
(1,1,1)(2,2,1)(3,2)(2,2,1)(3,1,1)(4,2,1)(5,2)(4,2) ψI(I+ψψI(I+1)(ψI(I+1)))
(1,1,1)(2,2,1)(3,2)(2,2,1)(3,1,1)(4,2,1)(5,2)(4,2)(5,3,1,1) ψI(I+ψψI(I+1)(ωproj.))
(1,1,1)(2,2,1)(3,2)(2,2,1)(3,1,1)(4,2,1)(5,2)(4,2,1) ψI(I+ψI(I+1))
(1,1,1)(2,2,1)(3,2)(2,2,1)(3,1,1)(4,2,1)(5,2)(4,2,1)(4,2,1) ψI(I+ψI(I+2)
(1,1,1)(2,2,1)(3,2)(2,2,1)(3,1,1)(4,2,1)(5,2)(4,2,1)(5) ψI(I+ψI(I+ω))
(1,1,1)(2,2,1)(3,2)(2,2,1)(3,1,1)(4,2,1)(5,2)(4,2,1)(5,1,1)(6,2,1)(7,2) ψI(I+ψI(I+ψI(I)))
(1,1,1)(2,2,1)(3,2)(2,2,1)(3,2) ψI(I×2)
(1,1,1)(2,2,1)(3,2)(2,2,1)(3,2)(2,2,1) ψI(I×2+1)
(1,1,1)(2,2,1)(3,2)(2,2,1)(3,2)(2,2,1)(3,1,1)(4,2,1)(5,2)(4,2,1)(5,2) ψI(I×2+ψI(I×2))
(1,1,1)(2,2,1)(3,2)(2,2,1)(3,2)(2,2,1)(3,2) ψI(I×3)
(1,1,1)(2,2,1)(3,2)(3) ψI(I×ω)
(1,1,1)(2,2,1)(3,2)(3,1,1)(4,2,1)(5,2) ψI(I×ψI(I))
(1,1,1)(2,2,1)(3,2)(3,2) ψI(I2)
(1,1,1)(2,2,1)(3,2)(3,2)(3,2) ψI(I3)
(1,1,1)(2,2,1)(3,2)(4) ψI(Iω)
(1,1,1)(2,2,1)(3,2)(4,2) ψI(II)
(1,1,1)(2,2,1)(3,2)(4,3) ψI(ΩI+1)
(1,1,1)(2,2,1)(3,2)(4,3,1,1) ψI(ωproj.)
(1,1,1)(2,2,1)(3,2,1) I

5

非递归BMS 其他记号
(1,1,1)(2,2,1)(3,2,1) I
(1,1,1)(2,2,1)(3,2,1)(2,2,1) ΩI+1
(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,1,1) ΩI+Ω2
(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,1,1)(4,2,1)(5,2,1) ΩI×2
(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,1,1)(4,2,1)(5,2,1)(2,2,1)(3,1,1)(4,2,1)(5,2,1) ΩI×3
(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,1,1)(4,2,1)(5,2,1)(3,1,1)(4,2,1)(5,2,1) ΩI2
(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,1,1)(4,2,1)(5,2,1)(4,1,1)(5,2,1)(6,2,1) ΩII
(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,1,1)(4,2,1)(5,2,1)(4,2) ΩψΩI+1(ΩI+1)
(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,1,1)(4,2,1)(5,2,1)(4,2)(5,3,1,1) ΩψΩI+1(ωproj.)
(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,1,1)(4,2,1)(5,2,1)(4,2,1) ΩΩI+1
(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,1,1)(4,2,1)(5,2,1)(4,2,1)(5,1,1)(6,2,1)(7,2,1) ΩΩI×2
(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,2) ψI2(I2)
(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,2)(2,2,1)(3,1,1)(4,2,1)(5,2,1)(4,2,1)(5,2) ψI2(I2+ψI2(I2))
(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,2)(2,2,1)(3,2) ψI2(I2×2)
(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,2)(3,2) ψI2(I22)
(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,2)(4,3) ψI2(ΩI2+1)
(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,2)(4,3,1,1) ψI2(ωproj.)
(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,2,1) I2
(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,2,1)(2,2,1) ΩI2+1
(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,2,1)(2,2,1)(3,1,1)(4,2,1)(5,2,1)(4,2,1)(5,2,1) ΩI2×2
(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,2,1)(2,2,1)(3,2) ψI3(I3)
(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,2,1)(2,2,1)(3,2)(4,3,1,1) ψI2(ωproj.)
(1,1,1)(2,2,1)(3,2,1)(2,2,1)(3,2,1)(2,2,1)(3,2,1) I3
(1,1,1)(2,2,1)(3,2,1)(3) Iω