PrSS VS 康托范式

本条目展示PrSS和康托范式的列表分析

$()=0$

$(0)=1$

$(0,0)=2$

$(0,0,0)=3$

$(0,1)=(0,0,\cdots ,0)=\omega$

$(0,1,0)=\omega +1$

$(0,1,0,0)=\omega +2$

$(0,1,0,1)=(0,1,0,0,\cdots ,0)=\omega \times 2$

$(0,1,0,1,0,1)=\omega \times 3$

$(0,1,1)=(0,1,0,1,\cdots ,0,1)={\omega }^2$

$(0,1,1,0)={\omega }^2+1$

$(0,1,1,0,1)={\omega }^2+\omega$

$(0,1,1,0,1,0)={\omega }^2+\omega +1$

$(0,1,1,0,1,0,1)={\omega }^2+\omega \times 2$

$(0,1,1,0,1,1)=(0,1,1,0,1,0,1,\cdots ,0,1)={\omega }^2\times 2$

$(0,1,1,0,1,1,0,1,1)={\omega }^2\times 3$

$(0,1,1,1)=(0,1,1,0,1,1,\cdots ,0,1,1)={\omega }^3$

$(0,1,1,1,1)={\omega }^4$

$(0,1,2)=(0,1,1,\cdots ,1)={\omega }^{\omega }$

$(0,1,2,0,1,2)={\omega }^{\omega }\times 2$

$(0,1,2,1)=(0,1,2,0,1,2,\cdots ,0,1,2)={\omega }^{\omega +1}$

$(0,1,2,1,0,1,2)={\omega }^{\omega +1}+{\omega }^{\omega }$

$(0,1,2,1,0,1,2,1)={\omega }^{\omega +1}\times 2$

$(0,1,2,1,1)=(0,1,2,1,0,1,2,1,\cdots ,0,1,2,1)={\omega }^{\omega +2}$

$(0,1,2,1,1,1)={\omega }^{\omega +3}$

$(0,1,2,1,2)=(0,1,2,1,1,\cdots ,1)={\omega }^{\omega \times 2}$

$(0,1,2,1,2,1)={\omega }^{\omega \times 2+1}$

$(0,1,2,1,2,1,2)={\omega }^{\omega \times 3}$

$(0,1,2,2)=(0,1,2,1,2,\cdots ,1,2)={\omega }^{{\omega }^2}$

$(0,1,2,2,1)={\omega }^{{\omega }^2+1}$

$(0,1,2,2,1,2)={\omega }^{{\omega }^2+\omega }$

$(0,1,2,2,1,2,1)={\omega }^{{\omega }^2+\omega +1}$

$(0,1,2,2,1,2,1,2)={\omega }^{{\omega }^2+\omega \times 2}$

$(0,1,2,2,1,2,2)=(0,1,2,2,1,2,1,2,\cdots ,1,2)={\omega }^{{\omega }^2*2}$

$(0,1,2,2,2)=(0,1,2,2,1,2,2,\cdots ,1,2,2)={\omega }^{{\omega }^3}$

$(0,1,2,3)=(0,1,2,2,\cdots ,2)={\omega }^{{\omega }^{\omega }}$

$(0,1,2,3,2)={\omega }^{{\omega }^{\omega +1}}$

$(0,1,2,3,2,3)={\omega }^{{\omega }^{\omega \times 2}}$

$(0,1,2,3,3)={\omega }^{{\omega }^{{\omega }^2}}$

$(0,1,2,3,4)=(0,1,2,3,3,\cdots ,3)={\omega }^{{\omega }^{{\omega }^{\omega }}}$

$(0,1,2,3,4,5,...)=\mathrm{L}\mathrm{i}\mathrm{m}\mathrm{i}\mathrm{t}\mathrm{o}\mathrm{f}\mathrm{P}\mathrm{r}\mathrm{S}\mathrm{S}={\epsilon }_0$

最终得到，PrSS 的极限为 ${\epsilon }_0$.