投影 VS 反射稳定

本条目展示投影序数和反射序数、稳定序数的列表分析

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投影序数	反射序数	常规表示
${\psi }_a(0)$	$min2$	$\mathrm{\Omega }$
${\psi }_a(0)\times 2$	$(1-{)}^{(2)}aft2$	$\mathrm{\Omega }\times 2$
${\psi }_a(0)\times 3$	$2nd(1-{)}^{(2)}aft2$	$\mathrm{\Omega }\times 3$
${\psi }_a(1)$	$(1-{)}^{(2)+1}aft2$	$\mathrm{\Omega }\times \omega$
${\psi }_a(2)$	$(1-{)}^{(2)+2}aft2$	$\mathrm{\Omega }\times {\omega }^2$
${\psi }_a(\omega )$	$(1-{)}^{(2)+\omega }aft2$	$\mathrm{\Omega }\times {\omega }^{\omega }$
${\psi }_a(BO)$	$(1-{)}^{(2)+BO}aft2$	$\mathrm{\Omega }\times BO$
${\psi }_a({\psi }_a(0))$	$(1-{)}^{(1-{)}^{(2)}aft2}aft2$	${\mathrm{\Omega }}^2$
${\psi }_a({\psi }_a(0)+1)$	$(1-{)}^{(1-{)}^{(2)}aft2+1}aft2$	${\mathrm{\Omega }}^2\times \omega$
${\psi }_a({\psi }_a(0)\times 2)$	$(1-{)}^{2nd(1-{)}^{(2)}aft2}aft2$	${\mathrm{\Omega }}^3$
${\psi }_a({\psi }_a(1))$	$(1-{)}^{(1-{)}^{(2)+1}aft2}aft2$	${\mathrm{\Omega }}^{\omega }$
${\psi }_a({\psi }_a({\psi }_a(0)))$	$(1-{)}^{(1-{)}^{(1-{)}^{(2)}aft2}aft2}aft2$	${\mathrm{\Omega }}^{\mathrm{\Omega }}$
${\psi }_a({\psi }_a({\psi }_a({\psi }_a(0))))$	$(1-{)}^{(1-{)}^{(1-{)}^{(1-{)}^{(2)}aft2}aft2}aft2}aft2$	${\mathrm{\Omega }}^{{\mathrm{\Omega }}^{\mathrm{\Omega }}}$
${\psi }_a(a)$	$(1-{)}^{a}aft2$	${\psi }_1({\mathrm{\Omega }}_2)$
${\psi }_a(a)\times 2$	$(1-{)}^{(1-{)}^{a}aft2}aft(1-{)}^{a}aft2$	${\psi }_1({\mathrm{\Omega }}_2)\times 2$
${\psi }_a(a+1)$	$(1-{)}^{(1-{)}^{a}aft2+1}aft(1-{)}^{a}aft2$	${\psi }_1({\mathrm{\Omega }}_2+1)$
${\psi }_a(a+{\psi }_a(a))$	$(1-{)}^{(1-{)}^{(1-{)}^{a}aft2}aft(1-{)}^{a}aft2}aft(1-{)}^{a}aft2$	${\psi }_1({\mathrm{\Omega }}_2+{\psi }_1({\mathrm{\Omega }}_2))$
${\psi }_a(a\times 2)$	$2nd(1-{)}^{a}aft2$	${\psi }_1({\mathrm{\Omega }}_2\times 2)$
${\psi }_a(a\times 3)$	$3rd(1-{)}^{a}aft2$	${\psi }_1({\mathrm{\Omega }}_2\times 3)$
${\psi }_a(a\times \omega )$	$(1-{)}^{a+1}aft2$	${\psi }_1({\mathrm{\Omega }}_2\times \omega )$
${\psi }_a(a\times {\psi }_a(a))$	$(1-{)}^{a+(1-{)}^{a}aft2}aft2$	${\psi }_1({\mathrm{\Omega }}_2\times {\psi }_1({\mathrm{\Omega }}_2))$
${\psi }_a(a^2)$	$(1-{)}^{a\times 2}aft2$	${\psi }_1({\mathrm{\Omega }}_2^2)$
${\psi }_a(a^2+a)$	$(1-{)}^{a}aft(1-{)}^{a\times 2}aft2$	${\psi }_1({\mathrm{\Omega }}_2^2+{\mathrm{\Omega }}_2)$
${\psi }_a(a^2+a\times {\psi }_a(a^2))$	$(1-{)}^{a+(1-{)}^{a\times 2}aft2}aft(1-{)}^{a\times 2}aft2$	${\psi }_1({\mathrm{\Omega }}_2^2+{\mathrm{\Omega }}_2\times {\psi }_1({\mathrm{\Omega }}_2^2))$
$\psi (a^2\times 2)$	$2nd(1-{)}^{a\times 2}aft2$	${\psi }_1({\mathrm{\Omega }}_2^2\times 2)$
$\psi (a^2\times \omega )$	$(1-{)}^{a\times 2+1}aft2$	${\psi }_1({\mathrm{\Omega }}_2^2\times \omega )$
$\psi (a^3)$	$(1-{)}^{a\times 3}aft2$	${\psi }_1({\mathrm{\Omega }}_2^3)$
${\psi }_a(a^{\omega })$	$(1-{)}^{a\times \omega }aft2$	${\psi }_1({\mathrm{\Omega }}_2^{\omega })$
${\psi }_a(a^a)$	$(1-{)}^{a^2}aft2$	${\psi }_1({\mathrm{\Omega }}_2^{{\mathrm{\Omega }}_2})$
${\psi }_a(a^{a+1})$	$(1-{)}^{a^2+a}aft2$	${\psi }_1({\mathrm{\Omega }}_2^{{\mathrm{\Omega }}_2+1})$
${\psi }_a(a^{a+\omega })$	$(1-{)}^{a^2+a\times \omega }aft2$	${\psi }_1({\mathrm{\Omega }}_2^{{\mathrm{\Omega }}_2+\omega })$
${\psi }_a(a^{a\times 2})$	$(1-{)}^{a^2\times 2}aft2$	${\psi }_1({\mathrm{\Omega }}_2^{{\mathrm{\Omega }}_2\times 2})$
${\psi }_a(a^{a\times \omega })$	$(1-{)}^{a^2\times \omega }aft2$	${\psi }_1({\mathrm{\Omega }}_2^{{\mathrm{\Omega }}_2\times \omega })$
${\psi }_a(a^{a^2})$	$(1-{)}^{a^3}aft2$	${\psi }_1({\mathrm{\Omega }}_2^{{\mathrm{\Omega }}_2^2})$
${\psi }_a(a^{a^3})$	$(1-{)}^{a^4}aft2$	${\psi }_1({\mathrm{\Omega }}_2^{{\mathrm{\Omega }}_2^3})$
${\psi }_a(a^{a^{\omega }})$	$(1-{)}^{a^{\omega }}aft2$	${\psi }_1({\mathrm{\Omega }}_2^{{\mathrm{\Omega }}_2^{\omega }})$
${\psi }_a(a^{a^a})$	$(1-{)}^{a^a}aft2$	${\psi }_1({\mathrm{\Omega }}_2^{{\mathrm{\Omega }}_2^{{\mathrm{\Omega }}_2}})$
${\psi }_a({\epsilon }_{a+1})$	$(1-{)}^{{\epsilon }_{a+1}}aft2$	${\psi }_1({\mathrm{\Omega }}_3)$
${\psi }_a({\zeta }_{a+1})$	$(1-{)}^{{\zeta }_{a+1}}aft2$	${\psi }_1({\mathrm{\Omega }}_3^2)$
${\psi }_a({\mathrm{\Gamma }}_{a+1})$	$(1-{)}^{{\mathrm{\Gamma }}_{a+1}}aft2$	${\psi }_1({\mathrm{\Omega }}_3^{{\mathrm{\Omega }}_3})$
${\psi }_a(BHO(a+1))$	$(1-{)}^{BHO(a+1)}aft2$	${\psi }_1({\mathrm{\Omega }}_4)$
${\psi }_a(BO(a+1))$	$(1-{)}^{BO(a+1)}aft2$	${\psi }_1({\mathrm{\Omega }}_{\omega })$
${\psi }_a({\mathrm{\Omega }}_{a+1})$	$2nd2$	${\mathrm{\Omega }}_2$