非递归BMS分析

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
$\varnothing$	$0$
$(1)$	$1$
$(1)(1)$	$2$
$(1)(2)$	$\omega$
$(1)(2)(1)$	$\omega +1$
$(1)(2)(2)$	${\omega }^2$
$(1)(2)(3)$	${\omega }^{\omega }$
$(1)(2,1)$	${\epsilon }_0$
$(1)(2,1,1)$	$\psi ({\mathrm{\Omega }}_{\omega })$
$(1,1)$	$\mathrm{\Omega }$

2

非递归BMS	其他记号
$(1,1)$	$\mathrm{\Omega }$
$(1,1)(1)$	$\mathrm{\Omega }+1$
$(1,1)(1)(2)$	$\mathrm{\Omega }+\omega$
$(1,1)(1)(2,1)$	$\mathrm{\Omega }+{\epsilon }_0$
$(1,1)(1)(2,1,1)$	$\mathrm{\Omega }+\psi ({\mathrm{\Omega }}_{\omega })$
$(1,1)(1,1)$	$\mathrm{\Omega }\times 2$
$(1,1)(1,1)(1,1)$	$\mathrm{\Omega }\times 3$
$(1,1)(2)$	$\mathrm{\Omega }\times \omega$
$(1,1)(2)(1,1)$	$\mathrm{\Omega }\times \omega +\mathrm{\Omega }$
$(1,1)(2)(2)$	$\mathrm{\Omega }\times {\omega }^2$
$(1,1)(2)(3,1,1)$	$\mathrm{\Omega }\times \psi ({\mathrm{\Omega }}_{\omega })$
$(1,1)(2,1)$	${\mathrm{\Omega }}^2$
$(1,1)(2,1)(1,1)(2,1)$	${\mathrm{\Omega }}^2\times 2$
$(1,1)(2,1)(2)$	${\mathrm{\Omega }}^2\times \omega$
$(1,1)(2,1)(2)(3,1,1)$	${\mathrm{\Omega }}^2\times \psi ({\mathrm{\Omega }}_{\omega })$
$(1,1)(2,1)(2,1)$	${\mathrm{\Omega }}^3$
$(1,1)(2,1)(2,1)(2,1)$	${\mathrm{\Omega }}^4$
$(1,1)(2,1)(3)$	${\mathrm{\Omega }}^{\omega }$
$(1,1)(2,1)(3)(4,1,1)$	${\mathrm{\Omega }}^{\psi ({\mathrm{\Omega }}_{\omega })}$
$(1,1)(2,1)(3,1)$	${\mathrm{\Omega }}^{\mathrm{\Omega }}$
$(1,1)(2,1)(3,1)(4,1)$	${\mathrm{\Omega }}^{{\mathrm{\Omega }}^{\mathrm{\Omega }}}$
$(1,1)(2,2)$	${\psi }_1({\mathrm{\Omega }}_2)$
$(1,1)(2,2)(2,1)$	${\psi }_1({\mathrm{\Omega }}_2+\mathrm{\Omega })$
$(1,1)(2,2)(2,1)(2,1)$	${\psi }_1({\mathrm{\Omega }}_2+\mathrm{\Omega }\times 2)$
$(1,1)(2,2)(2,1)(3)$	${\psi }_1({\mathrm{\Omega }}_2+\mathrm{\Omega }\times \omega )$
$(1,1)(2,2)(2,1)(3,1)$	${\psi }_1({\mathrm{\Omega }}_2+{\mathrm{\Omega }}^2)$
$(1,1)(2,2)(2,1)(3,2)$	${\psi }_1({\mathrm{\Omega }}_2+{\psi }_1({\mathrm{\Omega }}_2))$
$(1,1)(2,2)(2,1)(3,2)(2,1)(3,2)$	${\psi }_1({\mathrm{\Omega }}_2+{\psi }_1({\mathrm{\Omega }}_2)\times 2)$
$(1,1)(2,2)(2,1)(3,2)(3)$	${\psi }_1({\mathrm{\Omega }}_2+{\psi }_1({\mathrm{\Omega }}_2+1))$
$(1,1)(2,2)(2,1)(3,2)(3,1)(4,2)$	${\psi }_1({\mathrm{\Omega }}_2+{\psi }_1({\mathrm{\Omega }}_2+{\psi }_1({\mathrm{\Omega }}_2)))$
$(1,1)(2,2)(2,2)$	${\psi }_1({\mathrm{\Omega }}_2\times 2)$
$(1,1)(2,2)(3)$	${\psi }_1({\mathrm{\Omega }}_2\times \omega )$
$(1,1)(2,2)(3,1)(4,2)$	${\psi }_1({\mathrm{\Omega }}_2\times {\psi }_1({\mathrm{\Omega }}_2))$
$(1,1)(2,2)(3,2)$	${\psi }_1({\mathrm{\Omega }}_2^2)$
$(1,1)(2,2)(3,2)(4,2)$	${\psi }_1({\mathrm{\Omega }}_2^{{\mathrm{\Omega }}_2})$
$(1,1)(2,2)(3,3)$	${\psi }_1({\mathrm{\Omega }}_3)$
$(1,1)(2,2,1)$	${\psi }_1({\mathrm{\Omega }}_{\omega })$
$(1,1)(2,2,1,1)$	${\psi }_1(\omega -proj.)$
$(1,1,1)$	${\mathrm{\Omega }}_2$

3

非递归BMS	其他记号
$(1,1,1)$	${\mathrm{\Omega }}_2$
$(1,1,1)(1,1)$	${\mathrm{\Omega }}_2+\mathrm{\Omega }$
$(1,1,1)(1,1)(2,2,1,1)$	${\mathrm{\Omega }}_2+{\psi }_1(\omega -proj.)$
$(1,1,1)(1,1,1)$	${\mathrm{\Omega }}_2\times 2$
$(1,1,1)(2)$	${\mathrm{\Omega }}_2\times \omega$
$(1,1,1)(2,1)$	${\mathrm{\Omega }}_2\times \mathrm{\Omega }$
$(1,1,1)(2,1)(2,1)$	${\mathrm{\Omega }}_2\times {\mathrm{\Omega }}^2$
$(1,1,1)(2,1)(3,2)$	${\mathrm{\Omega }}_2\times {\psi }_1({\mathrm{\Omega }}_2)$
$(1,1,1)(2,1)(3,2,1,1)$	${\mathrm{\Omega }}_2\times {\psi }_1(\omega -proj.)$
$(1,1,1)(2,1,1)$	${\mathrm{\Omega }}_2^2$
$(1,1,1)(2,1,1)(2,1,1)$	${\mathrm{\Omega }}_2^3$
$(1,1,1)(2,1,1)(3,1,1)$	${\mathrm{\Omega }}_2^{{\mathrm{\Omega }}_2}$
$(1,1,1)(2,2)$	${\psi }_2({\mathrm{\Omega }}_3)$
$(1,1,1)(2,2)(2,1,1)(3,2)$	${\psi }_2({\mathrm{\Omega }}_3+{\psi }_2({\mathrm{\Omega }}_3))$
$(1,1,1)(2,2)(2,2)$	${\psi }_2({\mathrm{\Omega }}_3\times 2)$
$(1,1,1)(2,2)(3,1,1)(4,2)$	${\psi }_2({\mathrm{\Omega }}_3\times {\psi }_2({\mathrm{\Omega }}_3))$
$(1,1,1)(2,2)(3,2)$	${\psi }_2({\mathrm{\Omega }}_3^2)$
$(1,1,1)(2,2)(3,3)$	${\psi }_2({\mathrm{\Omega }}_4)$
$(1,1,1)(2,2)(3,3,1)$	${\psi }_2({\mathrm{\Omega }}_{\omega })$
$(1,1,1)(2,2)(3,3,1,1)$	${\psi }_2(\omega -proj.)$
$(1,1,1)(2,2,1)$	${\mathrm{\Omega }}_3$
$(1,1,1)(2,2,1)(2,1)$	${\mathrm{\Omega }}_3\times \mathrm{\Omega }$
$(1,1,1)(2,2,1)(2,1,1)$	${\mathrm{\Omega }}_3\times {\mathrm{\Omega }}_2$
$(1,1,1)(2,2,1)(2,1,1)(2,1,1)$	${\mathrm{\Omega }}_3\times {\mathrm{\Omega }}_2^2$
$(1,1,1)(2,2,1)(2,1,1)(3,2)$	${\mathrm{\Omega }}_3\times {\psi }_2({\mathrm{\Omega }}_3)$
$(1,1,1)(2,2,1)(2,1,1)(3,2)(3,2)$	${\mathrm{\Omega }}_3\times {\psi }_2({\mathrm{\Omega }}_3\times 2)$
$(1,1,1)(2,2,1)(2,1,1)(3,2)(4,3)$	${\mathrm{\Omega }}_3\times {\psi }_2({\mathrm{\Omega }}_4)$
$(1,1,1)(2,2,1)(2,1,1)(3,2)(4,3,1,1)$	${\mathrm{\Omega }}_3\times {\psi }_2(\omega -proj.)$
$(1,1,1)(2,2,1)(2,1,1)(3,2,1)$	${\mathrm{\Omega }}_3^2$
$(1,1,1)(2,2,1)(2,1,1)(3,2,1)(2,1,1)(3,2,1)$	${\mathrm{\Omega }}_3^3$
$(1,1,1)(2,2,1)(2,1,1)(3,2,1)(3)$	${\mathrm{\Omega }}_3^{\omega }$
$(1,1,1)(2,2,1)(2,1,1)(3,2,1)(3,1,1)(4,2,1)$	${\mathrm{\Omega }}_3^{{\mathrm{\Omega }}_3}$
$(1,1,1)(2,2,1)(2,2)$	${\psi }_3({\mathrm{\Omega }}_4)$
$(1,1,1)(2,2,1)(2,2)(2,2)$	${\psi }_3({\mathrm{\Omega }}_4\times 2)$
$(1,1,1)(2,2,1)(2,2)(3,3,1)$	${\psi }_3({\mathrm{\Omega }}_{\omega })$
$(1,1,1)(2,2,1)(2,2)(3,3,1,1)$	${\psi }_3(\omega -proj.)$
$(1,1,1)(2,2,1)(2,2,1)$	${\mathrm{\Omega }}_4$
$(1,1,1)(2,2,1)(2,2,1)(2,2,1)$	${\mathrm{\Omega }}_5$
$(1,1,1)(2,2,1)(3)$	${\mathrm{\Omega }}_{\omega }$