查看“︁LPrSS VS veblen函数”︁的源代码

本条目展示[[长初等序列|LPrSS]]和[[Veblen 函数]]的列表分析。

<math>1,3</math>之前等价于PrSS，这里不再枚举，详情可以参见[[PrSS VS 康托范式]]。

<math>1,3=\varphi(1,0)</math>

<math>1,3,1=\varphi(1,0)+1</math>

<math>1,3,1,3=\varphi(1,0)\times2</math>

<math>1,3,2=\omega^{\varphi(1,0)+1}</math>

<math>1,3,2,1,3,2=\omega^{\varphi(1,0)+1}\times2</math>

<math>1,3,2,2=\omega^{\varphi(1,0)+2}</math>

<math>1,3,2,3=\omega^{\varphi(1,0)+\omega}</math>

<math>1,3,2,3,2,3=\omega^{\varphi(1,0)+\omega\times2}</math>

<math>1,3,2,3,3=\omega^{\varphi(1,0)+\omega^2}</math>

<math>1,3,2,3,4=\omega^{\varphi(1,0)+\omega^{\omega}}</math>

<math>1,3,2,4=\omega^{\varphi(1,0)\times2}</math>

<math>1,3,2,4,2,4=\omega^{\varphi(1,0)\times3}</math>

<math>1,3,2,4,3=\omega^{\omega^{\varphi(1,0)+1}}</math>

<math>1,3,2,4,3,2,4,3=\omega^{\omega^{\varphi(1,0)+1}\times2}</math>

<math>1,3,2,4,3,3=\omega^{\omega^{\varphi(1,0)+2}}</math>

<math>1,3,2,4,3,4=\omega^{\omega^{\varphi(1,0)+\omega}}</math>

<math>1,3,2,4,3,5=\omega^{\omega^{\varphi(1,0)\times2}}</math>

<math>1,3,2,4,3,5,4=\omega^{\omega^{\omega^{\varphi(1,0)+1}}}</math>

<math>1,3,3=\varphi(1,1)</math>

<math>1,3,3,2=\omega^{\varphi(1,1)+1}</math>

<math>1,3,3,2,4=\omega^{\varphi(1,1)+\varphi(1,0)}</math>

<math>1,3,3,2,4,4=\omega^{\varphi(1,1)\times2}</math>

<math>1,3,3,3=\varphi(1,2)</math>

<math>1,3,4=\varphi(1,\omega)</math>

<math>1,3,4,3=\varphi(1,\omega+1)</math>

<math>1,3,4,3,4=\varphi(1,\omega\times2)</math>

<math>1,3,4,4=\varphi(1,\omega^2)</math>

<math>1,3,4,5=\varphi(1,\omega^{\omega})</math>

<math>1,3,5=\varphi(1,\varphi(1,0))</math>

<math>1,3,5,3=\varphi(1,\varphi(1,0)+1)</math>

<math>1,3,5,3,5=\varphi(1,\varphi(1,0)\times2)</math>

<math>1,3,5,4,6=\varphi(1,\omega^{\varphi(1,0)\times2})</math>

<math>1,3,5,5=\varphi(1,\varphi(1,1))</math>

<math>1,3,5,6=\varphi(1,\varphi(1,\omega))</math>

<math>1,3,5,7=\varphi(1,\varphi(1,\varphi(1,0)))</math>

<math>1,4=\varphi(2,0)</math>

<math>1,4,3=\varphi(1,\varphi(2,0)+1)</math>

<math>1,4,3,4=\varphi(1,\varphi(2,0)+\omega)</math>

<math>1,4,3,5=\varphi(1,\varphi(2,0)+\varphi(1,0))</math>

<math>1,4,3,6=\varphi(1,\varphi(2,0)\times2)</math>

<math>1,4,3,6,4=\varphi(1,\omega^{\varphi(2,0)+1})</math>

<math>1,4,3,6,4,7=\varphi(1,\omega^{\varphi(2,0)\times2})</math>

<math>1,4,3,6,5=\varphi(1,\varphi(1,\varphi(2,0)+1))</math>

<math>1,4,3,6,5,8=\varphi(1,\varphi(1,\varphi(2,0)\times2))</math>

<math>1,4,4=\varphi(2,1)</math>

<math>1,4,5=\varphi(2,\omega))</math>

<math>1,4,6=\varphi(2,\varphi(1,0))</math>

<math>1,4,7=\varphi(2,\varphi(2,0))</math>

<math>1,5=\varphi(3,0)</math>

<math>1,5,2=\omega^{\varphi(3,0)+1}</math>

<math>1,5,3=\varphi(1,\varphi(3,0)+1)</math>

<math>1,5,4=\varphi(2,\varphi(3,0)+1)</math>

<math>1,5,5=\varphi(3,1)</math>

<math>1,6=\varphi(4,0)</math>

<math>Limit=\varphi(\omega,0)</math>
[[分类:分析]]