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+ω法序数超运算是一种超运算型记号，作者是量子杰克，与+1法超运算类似，但区别是遇到不动点会+ω而不是+1，原因是根据分析，这样能给出更整的基本列。序数超运算可以进行许多更高级别的拓展。 == 定义 == 一个序数超运算的格式必须是<math>\beta\{\lambda\}\alpha</math>，其中β,λ,α都是正序数。 底数β只能是正整数或超限基数。若底数是超限基数，只能是<math>\Omega_x</math>，其中x是序数。定义：<math>\Omega_0=\omega</math>，对于正序数x，<math>\Omega_x</math>为第x个不可数基数（不是可数非递归序数，因为在超运算型记号中，不可数与可数非递归的效果存在本质区别）。 若底数有限，则指数α必须有限。若底数为超限基数，则指数的势必须小于等于底数的势。例如，若底数为ω，指数必须可数。若底数为<math>\Omega_x</math>，指数必须小于<math>\Omega_{x+1}</math>。 算符序数λ的势在目前版本中最多允许比底数多不超过I（首个不可达基数）。. 计算规则： 若指数为1，则值为底数。<math>\beta\{\lambda\}1=\beta</math> 若算符序数与指数均为后继序数，使用带跳不动点函数的简单迭代规则。<math>\beta\{\lambda+1\}(\alpha+1)=if(\beta\{\lambda\}\beta\{\lambda+1\}\alpha=\beta\{\lambda+1\}\alpha)?\beta\{\lambda\}j(\beta\{\lambda+1\}\alpha)\ else\ \beta\{\lambda\}\beta\{\lambda+1\}\alpha</math> 跳跃函数j(x)取<math>j(x)=x+\omega</math>，虽然可以取其他值，但根据分析，取x+ω能使基本列更整。 若指数为极限序数，值为对指数取基本列时得到的值的极限。<math>\beta\{\lambda\}\alpha=lim(\beta\{\lambda\}\alpha[x])</math>。共尾性<math>\Omega_x</math>的极限序数的基本列长度为<math>\Omega_x</math>。 若指数为后继序数，算符序数为共尾性小于等于底数的极限序数：对于<math>\beta=\Omega_x,\ cof(\lambda)=\Omega_y,\ y\leq x</math>，将指数分解为一个<math>\Omega_y</math>的倍数与一个小于<math>\Omega_y</math>的序数之和，<math>\alpha=\Omega_y\times c+d</math>。若α<<math>\Omega_y</math>即c=0，则<math>\beta\{\lambda\}\alpha=\beta\{\lambda\}d=\beta\{\lambda[d]\}\beta</math>。若α><math>\Omega_y</math>即c>0,<math>\beta\{\lambda\}\alpha=\beta\{\lambda\}(\Omega_y\times c+d)=\beta\{\lambda[d]\}j(\beta\{\lambda\}(\Omega_y\times c))</math> 。 若指数为后继序数，算符序数为共尾性为底数的下一个超限基数：对于<math>\beta=\Omega_x,\ cof(\lambda)=\Omega_{x+1}</math>，展开为：<math>\beta\{\lambda\}(\alpha+1)=if(\beta\{\lambda[\beta\{\lambda\}\alpha]\}\beta=\beta\{\lambda\}\alpha)?\beta\{\lambda[j(\beta\{\lambda\}\alpha)]\}\beta\ else\ \beta\{\lambda[\beta\{\lambda\}\alpha]\}\beta</math>。 若指数是后继序数，算符序数的共尾性大于底数的下一个超限基数，底数必须是超限基数（不能为有限数）。对于<math>\beta=\Omega_x,\ cof(\lambda)=\Omega_{x+y+1}</math>，y为正序数，将指数分为ω的倍数与自然数之和：<math>\alpha=\omega\times c+d</math>。 定义：<math>\lambda_1=\lambda</math>；<math>\lambda_n</math>（n为大于1的正整数）= 将<math>\lambda_{n-1}</math>的表达式中所有x>0的<math>\Omega_x</math>全部替换为<math>\Omega_{x+y}</math>。若指数有限，β{λ}α = Ω_x{λ[Ω_(x+y+1)]}d；β{λ}1 = Ω_x{λ[Ω_(x+y)]}ω；β{λ}(n+1) = 将β{λ}n表达式中的λ_n[Ω_(x+y*n)]替换为λ_n[Ω_(x+y*n)]{λ_(n+1)[Ω_(x+y*(n+1))]}ω。若指数为超限后继序数，β{λ}α = Ω_x{λ[Ω_(x+y+1)]}(ω*c+d)；β{λ}(ω*c+1) = Ω_x{λ[Ω_(x+y)]}j(β{λ}(ω*c))；β{λ}(ω*c+n+1) = 将β{λ}n表达式中的λ_n[Ω_(x+y*n)]替换为λ_n[Ω_(x+y*n)]{λ_(n+1)[Ω_(x+y*(n+1))]}ω；若指数为极限序数，β{λ}α = lim(β{λ}(α[n]))。 == 分析1 == {| class="wikitable" |+分析1：SCO~HCO !序数超运算 !BMS |- |<math>\omega\uparrow\uparrow\omega</math> |(0)(1,1) = [[SCO]] |- |<math>\omega\uparrow\uparrow(\omega+1)=\omega^{\omega\uparrow\uparrow\omega+\omega}</math> |(0)(1,1)(1)(2) |- |<math>\omega\uparrow\uparrow(\omega+2)=\omega^{\omega^{\omega\uparrow\uparrow\omega+\omega}}</math> |(0)(1,1)(1)(2,1)(2)(3) |- |<math>\omega\uparrow\uparrow(\omega+3)</math> |(0)(1,1)(1)(2,1)(2)(3,1)(3)(4) |- |<math>\omega\uparrow\uparrow\omega2</math> |(0)(1,1)(1,1) |- |<math>\omega\uparrow\uparrow(\omega2+1)=\omega^{\omega\uparrow\uparrow\omega2+\omega}</math> |(0)(1,1)(1,1)(1)(2) |- |<math>\omega\uparrow\uparrow\omega3</math> |(0)(1,1)(1,1)(1,1) |- |<math>\omega\uparrow\uparrow\omega^2</math> |(0)(1,1)(2) |- |<math>\omega\uparrow\uparrow(\omega^2+\omega)</math> |(0)(1,1)(2)(1,1) |- |<math>\omega\uparrow\uparrow\omega^22</math> |(0)(1,1)(2)(1,1)(2) |- |<math>\omega\uparrow\uparrow\omega^3</math> |(0)(1,1)(2)(2) |- |<math>\omega\uparrow\uparrow\omega^\omega</math> |(0)(1,1)(2)(3) |- |<math>\omega\uparrow\uparrow\uparrow3=\omega\uparrow\uparrow\omega\uparrow\uparrow\omega</math> |(0)(1,1)(2)(3,1) |- |<math>\omega\uparrow\uparrow\uparrow4</math> |(0)(1,1)(2)(3,1)(4)(5,1) |- |<math>\omega\uparrow\uparrow\uparrow\omega</math> |(0)(1,1)(2,1) = [[CO]] |- |<math>\omega\uparrow\uparrow\uparrow(\omega+1)=\omega\uparrow\uparrow(\omega\uparrow\uparrow\uparrow\omega+\omega)</math> |(0)(1,1)(2,1)(1,1) |- |<math>\omega\uparrow\uparrow\uparrow(\omega+2)</math> |(0)(1,1)(2,1)(1,1)(2)(3,1)(4,1)(3,1) |- |<math>\omega\uparrow\uparrow\uparrow\omega2</math> |(0)(1,1)(2,1)(1,1)(2,1) |- |<math>\omega\uparrow\uparrow\uparrow\omega^2</math> |(0)(1,1)(2,1)(2) |- |<math>\omega\{4\}3</math> |(0)(1,1)(2,1)(2)(3,1)(4,1) |- |<math>\omega\{4\}\omega</math> |(0)(1,1)(2,1)(2,1) = [[LCO]] |- |<math>\omega\{4\}(\omega+1) = \omega\uparrow\uparrow\uparrow(\omega\{4\}\omega+\omega)</math> |(0)(1,1)(2,1)(2,1)(1,1)(2,1) |- |<math>\omega\{4\}\omega2</math> |(0)(1,1)(2,1)(2,1)(1,1)(2,1)(2,1) |- |<math>\omega\{5\}\omega</math> |(0)(1,1)(2,1)(2,1)(2,1) |- |<math>\omega\{\omega\}\omega</math> |(0)(1,1)(2,1)(3) = [[HCO]] |} == 分析2 == {| class="wikitable" |+分析2：HCO~FSO !序数超运算 !BMS |- |<math>\omega\{\omega\}\omega</math> |(0)(1,1)(2,1)(3) = [[HCO]] |- |<math>\omega\{\omega\}(\omega+1)=\omega^{\omega\{\omega\}\omega+\omega}</math> |(0)(1,1)(2,1)(3)(1)(2) |- |<math>\omega\{\omega\}(\omega+2)=\omega\uparrow\uparrow(\omega\{\omega\}\omega+\omega)</math> |(0)(1,1)(2,1)(3)(1,1) |- |<math>\omega\{\omega\}(\omega+3)=\omega\uparrow\uparrow\uparrow(\omega\{\omega\}\omega+\omega)</math> |(0)(1,1)(2,1)(3)(1,1)(2,1) |- |<math>\omega\{\omega\}\omega2</math> |(0)(1,1)(2,1)(3)(1,1)(2,1)(3) |- |<math>\omega\{\omega\}\omega^2</math> |(0)(1,1)(2,1)(3)(2) |- |<math>\omega\{\omega+1\}3</math> |(0)(1,1)(2,1)(3)(2)(3,1)(4,1)(5) |- |<math>\omega\{\omega+1\}\omega</math> |(0)(1,1)(2,1)(3)(2,1) |- |<math>\omega\{\omega+2\}\omega</math> |(0)(1,1)(2,1)(3)(2,1)(2,1) |- |<math>\omega\{\omega2\}\omega</math> |(0)(1,1)(2,1)(3)(2,1)(3) |- |<math>\omega\{\omega^2\}\omega</math> |(0)(1,1)(2,1)(3)(3) |- |<math>\omega\{\omega^\omega\}\omega</math> |(0)(1,1)(2,1)(3)(4) |- |<math>\omega\{\omega\uparrow\uparrow\omega\}\omega</math> |(0)(1,1)(2,1)(3)(4,1) |- |<math>\omega\{\Omega\}3=\omega\{\omega\{\omega\}\omega\}\omega</math> |(0)(1,1)(2,1)(3)(4,1)(5,1)(6) |- |<math>\omega\{\Omega\}4</math> |(0)(1,1)(2,1)(3)(4,1)(5,1)(6)(7,1)(8,1)(9) |- |<math>\omega\{\Omega\}\omega</math> |(0)(1,1)(2,1)(3,1) = [[FSO]] |} == 分析3 == {| class="wikitable" |+分析3：FSO~BHO !序数超运算 !BMS |- |<math>\omega\{\Omega\}\omega</math> |(0)(1,1)(2,1)(3,1) = [[FSO]] |- |<math>\omega\{\omega\{\Omega\}\omega\}(\omega+1)=\omega\{\omega\}\omega\{\Omega\}\omega</math> |(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3) |- |<math>\omega\{\omega\{\Omega\}\omega\}(\omega+2)=\omega\{\omega\{\omega\}\omega\}\omega\{\Omega\}\omega</math> |(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(4,1)(5,1)(6) |- |<math>\omega\{\omega\{\Omega\}\omega\}\omega2</math> |(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(4,1)(5,1)(6,1) |- |<math>\omega\{\omega\{\Omega\}\omega+1\}\omega</math> |(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(4,1)(5,1)(6,1)(2,1) |- |<math>\omega\{\Omega\}(\omega+1)=\omega\{\omega\{\Omega\}\omega+\omega\}\omega</math> |(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(4,1)(5,1)(6,1)(2,1)(3) |- |<math>\omega\{\Omega\}(\omega+2)=\omega\{\omega\{\omega\{\Omega\}\omega+\omega\}\omega\}\omega</math> |(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3)(4,1)(5,1)(6,1)(4,1)(5,1)(6)(7,1)(8,1)(9,1)(5,1)(6) |- |<math>\omega\{\Omega\}\omega2</math> |(0)(1,1)(2,1)(3,1)(1,1)(2,1)(3,1) |- |<math>\omega\{\Omega\}\omega^2</math> |(0)(1,1)(2,1)(3,1)(2) |- |<math>\omega\{\Omega+1\}3</math> |(0)(1,1)(2,1)(3,1)(2)(3,1)(4,1)(5,1) |- |<math>\omega\{\Omega+1\}\omega</math> |(0)(1,1)(2,1)(3,1)(2,1) |- |<math>\omega\{\Omega+2\}\omega</math> |(0)(1,1)(2,1)(3,1)(2,1)(2,1) |- |<math>\omega\{\Omega+\omega\}\omega</math> |(0)(1,1)(2,1)(3,1)(2,1)(3) |- |<math>\omega\{\Omega2\}3=\omega\{\Omega+\omega\{\Omega+\omega\}\omega\}\omega</math> |(0)(1,1)(2,1)(3,1)(2,1)(3)(4,1)(5,1)(4,1)(5) |- |<math>\omega\{\Omega2\}\omega</math> |(0)(1,1)(2,1)(3,1)(2,1)(3,1) |- |<math>\omega\{\Omega\omega\}\omega</math> |(0)(1,1)(2,1)(3,1)(3) |- |<math>\omega\{\Omega^2\}3=\omega\{\Omega\times\omega\{\Omega\omega\}\omega\}\omega</math> |(0)(1,1)(2,1)(3,1)(3)(4,1)(5,1)(5) |- |<math>\omega\{\Omega^2\}\omega</math> |(0)(1,1)(2,1)(3,1)(3,1) = [[ACO]] |- |<math>\omega\{\Omega^2+1\}\omega</math> |(0)(1,1)(2,1)(3,1)(3,1)(2,1) |- |<math>\omega\{\Omega^22\}\omega</math> |(0)(1,1)(2,1)(3,1)(3,1)(2,1)(3,1)(3,1) |- |<math>\omega\{\Omega^2\omega\}\omega</math> |(0)(1,1)(2,1)(3,1)(3,1)(3) |- |<math>\omega\{\Omega^3\}\omega</math> |(0)(1,1)(2,1)(3,1)(3,1)(3,1) |- |<math>\omega\{\Omega^\omega\}\omega</math> |(0)(1,1)(2,1)(3,1)(4) = [[SVO]] |- |<math>\omega\{\Omega^\Omega\}3=\omega\{\Omega^{\omega\{\Omega^\omega\}\omega}\}\omega</math> |(0)(1,1)(2,1)(3,1)(4)(5,1)(6,1)(7,1)(8) |- |<math>\omega\{\Omega^\Omega\}\omega</math> |(0)(1,1)(2,1)(3,1)(4,1) = [[LVO]] |- |<math>\omega\{\Omega^\Omega+1\}\omega</math> |(0)(1,1)(2,1)(3,1)(4,1)(2,1) |- |<math>\omega\{\Omega^{\Omega+1}\}\omega</math> |(0)(1,1)(2,1)(3,1)(4,1)(3,1) |- |<math>\omega\{\Omega^{\Omega2}\}\omega</math> |(0)(1,1)(2,1)(3,1)(4,1)(3,1)(4,1) |- |<math>\omega\{\Omega^{\Omega^2}\}\omega</math> |(0)(1,1)(2,1)(3,1)(4,1)(4,1) |- |<math>\omega\{\Omega^{\Omega^\omega}\}\omega</math> |(0)(1,1)(2,1)(3,1)(4,1)(5) |- |<math>\omega\{\Omega\uparrow\uparrow\omega\}3=\omega\{\Omega^{\Omega^\Omega}\}\omega</math> |(0)(1,1)(2,1)(3,1)(4,1)(5,1) |- |<math>\omega\{\Omega\uparrow\uparrow\omega\}4=\omega\{\Omega\uparrow\uparrow4\}\omega</math> |(0)(1,1)(2,1)(3,1)(4,1)(5,1)(6,1) |- |<math>\omega\{\Omega\uparrow\uparrow\omega\}\omega</math> |(0)(1,1)(2,2) = [[BHO]] |} == 分析4 == {| class="wikitable" |+分析4：BHO~(0)(1,1)(2,2)(3,2)(4) !序数超运算 !BMS |- |<math>\omega\{\Omega\uparrow\uparrow\omega\}\omega</math> |(0)(1,1)(2,2) = [[BHO]] |- |<math>\omega\{\Omega\uparrow\uparrow\omega\}(\omega+1)=\omega\{\Omega\}(\omega\{\Omega\uparrow\uparrow\omega\}\omega+\omega)</math> |(0)(1,1)(2,2)(1,1)(2,1)(3,1) |- |<math>\omega\{\Omega\uparrow\uparrow\omega\}(\omega+1)=\omega\{\Omega^\Omega\}(\omega\{\Omega\uparrow\uparrow\omega\}\omega+\omega)</math> |(0)(1,1)(2,2)(1,1)(2,1)(3,1)(4,1) |- |<math>\omega\{\Omega\uparrow\uparrow\omega\}\omega2</math> |(0)(1,1)(2,2)(1,1)(2,2) |- |<math>\omega\{\Omega\uparrow\uparrow\omega\}\omega^2</math> |(0)(1,1)(2,2)(2) |- |<math>\omega\{\Omega\uparrow\uparrow\omega+1\}3</math> |(0)(1,1)(2,2)(2)(3,1)(4,2) |- |<math>\omega\{\Omega\uparrow\uparrow\omega+1\}\omega</math> |(0)(1,1)(2,2)(2,1) |- |<math>\omega\{\Omega\uparrow\uparrow\omega+\Omega\}\omega</math> |(0)(1,1)(2,2)(2,1)(3,1) |- |<math>\omega\{\Omega\uparrow\uparrow\omega\times2\}\omega</math> |(0)(1,1)(2,2)(2,1)(3,2) |- |<math>\omega\{\Omega\uparrow\uparrow\omega\times\omega\}\omega</math> |(0)(1,1)(2,2)(2,1)(3,2)(3) |- |<math>\omega\{\Omega\uparrow\uparrow(\omega+1)\}\omega=\omega\{\omega^{\Omega\uparrow\uparrow\omega+\omega}\}\omega</math> |(0)(1,1)(2,2)(2,1)(3,2)(3)(4) |- |<math>\omega\{\Omega\uparrow\uparrow\omega2\}\omega</math> |(0)(1,1)(2,2)(2,2) |- |<math>\omega\{\Omega\uparrow\uparrow\omega3\}\omega</math> |(0)(1,1)(2,2)(2,2)(2,2) |- |<math>\omega\{\Omega\uparrow\uparrow\omega^2\}\omega</math> |(0)(1,1)(2,2)(3) |- |<math>\omega\{\Omega\uparrow\uparrow\Omega\}3=\omega\{\Omega\uparrow\uparrow\omega\{\Omega\uparrow\uparrow\Omega\}\omega\}\omega</math> |(0)(1,1)(2,2)(3)(4,1)(5,2)(6) |- |<math>\omega\{\Omega\uparrow\uparrow\Omega\}\omega</math> |(0)(1,1)(2,2)(3,1) |- |<math>\omega\{\Omega\uparrow\uparrow(\Omega+\omega)\}\omega</math> |(0)(1,1)(2,2)(3,1)(2,2) |- |<math>\omega\{\Omega\uparrow\uparrow\Omega2\}\omega</math> |(0)(1,1)(2,2)(3,1)(2,2)(3,1) |- |<math>\omega\{\Omega\uparrow\uparrow\Omega^2\}\omega</math> |(0)(1,1)(2,2)(3,1)(3,1) |- |<math>\omega\{\Omega\uparrow\uparrow\Omega\uparrow\uparrow\omega\}\omega</math> |(0)(1,1)(2,2)(3,1)(4,2) |- |<math>\omega\{\Omega\uparrow\uparrow\uparrow3\}\omega</math> |(0)(1,1)(2,2)(3,1)(4,2)(5,1) |- |<math>\omega\{\Omega\uparrow\uparrow\uparrow\omega\}\omega</math> |(0)(1,1)(2,2)(3,2) |- |<math>\omega\{\Omega\uparrow\uparrow\uparrow(\omega+1)\}\omega=\omega\{\Omega\uparrow\uparrow(\Omega\uparrow\uparrow\uparrow\omega+\omega)\}\omega</math> |(0)(1,1)(2,2)(3,2)(2,2) |- |<math>\omega\{\Omega\uparrow\uparrow\uparrow\omega2\}\omega</math> |(0)(1,1)(2,2)(3,2)(2,2)(3,2) |- |<math>\omega\{\Omega\uparrow\uparrow\uparrow\omega^2\}\omega</math> |(0)(1,1)(2,2)(3,2)(3) |- |<math>\omega\{\Omega\uparrow\uparrow\uparrow\Omega\}\omega</math> |(0)(1,1)(2,2)(3,2)(3,1) |- |<math>\omega\{\Omega\{4\}\omega\}\omega</math> |(0)(1,1)(2,2)(3,2)(3,2) |- |<math>\omega\{\Omega\{\omega\}4\}\omega=\omega\{\Omega\{4\}\Omega\}\omega</math> |(0)(1,1)(2,2)(3,2)(3,2)(3,1) |- |<math>\omega\{\Omega\{5\}\omega\}\omega</math> |(0)(1,1)(2,2)(3,2)(3,2)(3,2) |- |<math>\omega\{\Omega\{\omega\}\omega\}\omega</math> |(0)(1,1)(2,2)(3,2)(4) |} == 分析5 == {| class="wikitable" |+分析：(0)(1,1)(2,2)(3,2)(4)~(0)(1,1)(2,2)(3,2)(4,2) !序数超运算 !BMS |- |<math>\omega\{\Omega\{\omega\}\omega\}\omega</math> |(0)(1,1)(2,2)(3,2)(4) |- |<math>\omega\{\Omega\{\omega\}(\omega+1)\}\omega=\omega\{\Omega^{\Omega\{\omega\}\omega+\omega}\}\omega</math> |(0)(1,1)(2,2)(3,2)(4)(2,1)(3,2)(3)(4) |- |<math>\omega\{\Omega\{\omega\}(\omega+2)\}\omega=\omega\{\Omega\uparrow\uparrow(\Omega\{\omega\}\omega+\omega)\}\omega</math> |(0)(1,1)(2,2)(3,2)(4)(2,2) |- |<math>\omega\{\Omega\{\omega\}\omega2\}\omega</math> |(0)(1,1)(2,2)(3,2)(4)(2,2)(3,2)(4) |- |<math>\omega\{\Omega\{\omega\}\omega^2\}\omega</math> |(0)(1,1)(2,2)(3,2)(4)(3) |- |<math>\omega\{\Omega\{\Omega\}\omega\}\omega=\omega\{\Omega\{\omega\}\Omega\}\omega</math> |(0)(1,1)(2,2)(3,2)(4)(3,1) |- |<math>\omega\{\Omega\{\omega+1\}\omega\}\omega</math> |(0)(1,1)(2,2)(3,2)(4)(3,2) |- |<math>\omega\{\Omega\{\omega2\}\omega\}\omega</math> |(0)(1,1)(2,2)(3,2)(4)(3,2)(4) |- |<math>\omega\{\Omega\{\omega^2\}\omega\}\omega</math> |(0)(1,1)(2,2)(3,2)(4)(4) |- |<math>\omega\{\Omega\{\omega\uparrow\uparrow\omega\}\omega\}\omega</math> |(0)(1,1)(2,2)(3,2)(4)(5,1) |- |<math>\omega\{\Omega\{\omega\{\Omega\uparrow\uparrow\omega\}\omega\}\omega\}\omega</math> |(0)(1,1)(2,2)(3,2)(4)(5,1)(6,2) |- |<math>\omega\{\Omega\{\Omega\}\Omega\}\omega</math> |(0)(1,1)(2,2)(3,2)(4,1) |- |<math>\omega\{\Omega\{\Omega\}(\Omega+1)\}\omega=\omega\{\Omega^{\Omega\{\Omega\}\Omega+\omega}\}\omega</math> |(0)(1,1)(2,2)(3,2)(4,1)(2,1)(3,2)(3)(4) |- |<math>\omega\{\Omega\{\Omega\}(\Omega+2)\}\omega=\omega\{\Omega\uparrow\uparrow(\Omega\{\Omega\}\Omega+\omega)\}\omega</math> |(0)(1,1)(2,2)(3,2)(4,1)(2,2) |- |<math>\omega\{\Omega\{\Omega\}(\Omega+\omega)\}\omega=\omega\{\Omega\{\omega\}(\Omega\{\Omega\}\Omega+\omega)\}\omega</math> |(0)(1,1)(2,2)(3,2)(4,1)(2,2)(3,2)(4) |- |<math>\omega\{\Omega\{\Omega\}\Omega2\}\omega</math> |(0)(1,1)(2,2)(3,2)(4,1)(2,2)(3,2)(4,1) |- |<math>\omega\{\Omega\{\Omega\}\Omega\omega\}\omega</math> |(0)(1,1)(2,2)(3,2)(4,1)(3) |- |<math>\omega\{\Omega\{\Omega\}\Omega^2\}\omega</math> |(0)(1,1)(2,2)(3,2)(4,1)(3,1) |- |<math>\omega\{\Omega\{\Omega+1\}3\}\omega</math> |(0)(1,1)(2,2)(3,2)(4,1)(3,1)(4,2)(5,3)(6,1) |- |<math>\omega\{\Omega\{\Omega+1\}\omega\}\omega</math> |(0)(1,1)(2,2)(3,2)(4,1)(3,2) |- |<math>\omega\{\Omega\{\Omega+\omega\}\omega\}\omega</math> |(0)(1,1)(2,2)(3,2)(4,1)(3,2)(4) |- |<math>\omega\{\Omega\{\Omega2\}\Omega\}\omega</math> |(0)(1,1)(2,2)(3,2)(4,1)(3,2)(4,1) |- |<math>\omega\{\Omega\{\Omega\omega\}\omega\}\omega</math> |(0)(1,1)(2,2)(3,2)(4,1)(4) |- |<math>\omega\{\Omega\{\Omega^2\}\Omega\}\omega</math> |(0)(1,1)(2,2)(3,2)(4,1)(4,1) |- |<math>\omega\{\Omega\{\Omega\uparrow\uparrow\omega\}\omega\}\omega</math> |(0)(1,1)(2,2)(3,2)(4,1)(5,2) |- |<math>\omega\{\Omega\{\Omega\uparrow\uparrow\Omega\}\Omega\}\omega</math> |(0)(1,1)(2,2)(3,2)(4,1)(5,2)(6,1) |- |<math>\omega\{\Omega\{\Omega\uparrow\uparrow\uparrow\omega\}\omega\}\omega</math> |(0)(1,1)(2,2)(3,2)(4,1)(5,2)(6,2) |- |<math>\omega\{\Omega\{\Omega\{\omega\}\omega\}\omega\}\omega</math> |(0)(1,1)(2,2)(3,2)(4,1)(5,2)(6,2)(7) |- |<math>\omega\{\Omega\{\Omega_2\}\omega\}3=\omega\{\Omega\{\Omega_2\}3\}\omega=\omega\{\Omega\{\Omega\{\Omega\}\Omega\}\Omega\}\omega</math> |(0)(1,1)(2,2)(3,2)(4,1)(5,2)(6,2)(7,1) |- |<math>\omega\{\Omega\{\Omega_2\}\omega\}4=\omega\{\Omega\{\Omega_2\}4\}\omega</math> |(0)(1,1)(2,2)(3,2)(4,1)(5,2)(6,2)(7,1)(8,2)(9,2)(10,1) |- |<math>\omega\{\Omega\{\Omega_2\}\omega\}\omega</math> |(0)(1,1)(2,2)(3,2)(4,2) |} == 预期强度 == {| class="wikitable" |+预期强度（已进行部分分析，待填写） !序数超运算 !BMS |- |<math>\omega\{\Omega\{\Omega_2\uparrow\uparrow\omega\}\omega\}\omega</math> |(0)(1,1)(2,2)(3,3) |- |<math>\omega\{\Omega\{\Omega_2\uparrow\uparrow\uparrow\omega\}\omega\}\omega</math> |(0)(1,1)(2,2)(3,3)(4,3) |- |<math>\omega\{\Omega\{\Omega_2\{\omega\}\omega\}\omega\}\omega</math> |(0)(1,1)(2,2)(3,3)(4,3)(5) |- |<math>\omega\{\Omega\{\Omega_2\{\Omega_3\}\omega\}\omega\}\omega</math> |(0)(1,1)(2,2)(3,3)(4,3)(5,3) |- |<math>\omega\{\Omega\{\Omega_2\{\Omega_3\uparrow\uparrow\omega\}\omega\}\omega\}\omega</math> |(0)(1,1)(2,2)(3,3)(4,4) |- |<math>\omega\{\Omega_2\}\omega</math> |(0)(1,1,1) = [[BO]] |- |<math>\omega\{\Omega_22\}\omega</math> |(0)(1,1,1)(1,1,1) |- |<math>\omega\{\Omega_2\Omega\}\omega</math> |(0)(1,1,1)(2,1) |- |<math>\omega\{\Omega_2\times(\Omega+1)\}\omega</math> |(0)(1,1,1)(2,1)(1,1,1) |- |<math>\omega\{\Omega_2\times(\Omega\uparrow\uparrow\omega)\}\omega</math> |(0)(1,1,1)(2,1)(3,2) = [[TFBO]] |- |<math>\omega\{\Omega_2\times(\Omega\{\Omega_3\}\omega)\}\omega</math> |(0)(1,1,1)(2,1)(3,2,1) |- |<math>\omega\{\Omega_2^2\}\omega</math> |(0)(1,1,1)(2,1,1) |- |<math>\omega\{\Omega_2^\Omega\}\omega</math> |(0)(1,1,1)(2,1,1)(3,1) = [[BIO]] |- |<math>\omega\{\Omega_2^\Omega\omega\}\omega</math> |(0)(1,1,1)(2,1,1)(3,1)(2) = [[EBO]] |- |<math>\omega\{\Omega_2^{\Omega\uparrow\uparrow\omega}\}\omega</math> |(0)(1,1,1)(2,1,1)(3,1)(4,2) = [[JO]] |- |<math>\omega\{\Omega_2^{\Omega_2}\}\omega</math> |(0)(1,1,1)(2,1,1)(3,1,1) = [[SIO]] |- |<math>\omega\{\Omega_2^{\Omega_2^2}\}\omega</math> |(0)(1,1,1)(2,1,1)(3,1,1)(3,1,1) = [[SMO]] |- |<math>\omega\{\Omega_2^{\Omega_2^{\Omega_2}}\}\omega</math> |(0)(1,1,1)(2,1,1)(3,1,1)(4,1,1) = [[SKO]] |- |<math>\omega\{\Omega_2\uparrow\uparrow\omega\}\omega</math> |(0)(1,1,1)(2,2) = [[SSO]] |- |<math>\omega\{\Omega_2\{\Omega\}\Omega\times\omega\}\omega</math> |(0)(1,1,1)(2,2)(3,2)(4,1)(2) = [[LSO]] |- |<math>\omega\{\Omega_2\{\Omega_2\}\Omega_2\}\omega</math> |(0)(1,1,1)(2,2)(3,2)(4,1,1) = [[APO]] |- |<math>\omega\{\Omega_3\}\omega</math> |(0)(1,1,1)(2,2,1) = [[BGO]] |- |<math>\omega\{\Omega_4\}\omega</math> |(0)(1,1,1)(2,2,1)(2,2,1) |- |<math>\omega\{\Omega_\omega\}\omega</math> |(0)(1,1,1)(2,2,1)(3) = [[SDO]] |- |<math>\omega\{\Omega_\Omega\}\omega</math> |(0)(1,1,1)(2,2,1)(3,1) |- |<math>\omega\{\Omega_{\Omega_2}\}\omega</math> |(0)(1,1,1)(2,2,1)(3,1,1) |- |<math>\omega\{\Phi(1,0)\}\omega</math> |(0)(1,1,1)(2,2,1)(3,2) = [[LDO]] |- |<math>psd.\omega\{I\}\omega=\omega\{\psi_I(X)\}\omega\ ct.\ \psi(X)</math> |(0)(1,1,1)(2,2,1)(3,2,1) |- |<math>psd. \omega\{\psi(X)\}\omega\ ct.\ \psi(X)</math> |(0)(1,1,1)(2,2,2) = [[LRO|pfec LRO]] |} [[分类:分析]] [[分类:序数超运算]]
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+ω法序数超运算分析
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