ユーザー:108Hassium/第2物置

BM vs \({\tau}\)

(0,0,0)(1,1,1)=\({\tau_0}({\tau_0}({\tau_1}(0)))\)

(0,0,0)(1,1,1)(0,0,0)(1,1,1)=\({\tau_0}({\tau_0}({\tau_1}(0)),{\tau_0}({\tau_1}(0)))\)

(0,0,0)(1,1,1)(1,0,0)=\({\tau_0}({\tau_0}({\tau_1}(0),0))\)

(0,0,0)(1,1,1)(1,1,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_0}({\Omega})))\)

(0,0,0)(1,1,1)(1,1,0)(2,1,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_0}({\Omega},{\tau_0}({\Omega}))))\)

(0,0,0)(1,1,1)(1,1,0)(2,2,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_0}({\Omega},{\tau_0}({\Omega},{\Omega}))))\)

(0,0,0)(1,1,1)(1,1,0)(2,2,1)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_0}({\Omega},{\tau_0}({\tau_1}(0)))))\)

(0,0,0)(1,1,1)(1,1,0)(2,2,1)(2,2,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_0}({\Omega},{\Omega})))\)

(0,0,0)(1,1,1)(1,1,1)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0))))\)

(0,0,0)(1,1,1)(2,0,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),0)))\)

(0,0,0)(1,1,1)(2,1,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_0}({\Omega}))))\)

(0,0,0)(1,1,1)(2,1,0)(1,1,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_0}({\Omega})),{\tau_0}({\Omega})))\)

(0,0,0)(1,1,1)(2,1,0)(1,1,0)(2,2,1)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_0}({\Omega})),{\tau_0}({\Omega},{\tau_0}({\tau_1}(0)))))\)

(0,0,0)(1,1,1)(2,1,0)(1,1,0)(2,2,1)(3,1,0)

=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_0}({\Omega})),{\tau_0}({\Omega},{\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_0}({\Omega}))))))\)

(0,0,0)(1,1,1)(2,1,0)(1,1,0)(2,2,1)(3,1,0)(2,1,0)(3,2,1)

=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_0}({\Omega})),{\tau_0}({\Omega},{\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_0}({\Omega})),{\tau_0}({\Omega},{\tau_0}({\tau_1}(0))))))\)

(0,0,0)(1,1,1)(2,1,0)(1,1,0)(2,2,1)(3,1,0)(2,2,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_0}({\Omega})),{\tau_0}({\Omega},{\Omega})))\)

(0,0,0)(1,1,1)(2,1,0)(1,1,0)(2,2,1)(3,1,0)(2,2,1)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_0}({\Omega})),{\tau_0}({\tau_1}(0))))\)

(0,0,0)(1,1,1)(2,1,0)(1,1,0)(2,2,1)(3,1,0)(3,0,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_0}({\Omega}),0)))\)

(0,0,0)(1,1,1)(2,1,0)(1,1,0)(2,2,1)(3,1,0)(4,2,1)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_0}({\Omega},{\tau_0}({\tau_1}(0))))))\)

(0,0,0)(1,1,1)(2,1,0)(1,1,0)(2,2,1)(3,2,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_0}({\Omega},{\Omega}))))\)

(0,0,0)(1,1,1)(2,1,0)(1,1,1)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0)))))\)

(0,0,0)(1,1,1)(2,1,0)(1,1,1)(1,1,1)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0))),{\tau_0}({\tau_1}(0))))\)

(0,0,0)(1,1,1)(2,1,0)(1,1,1)(2,1,0)(1,1,1)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0))),{\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0)))))\)

(0,0,0)(1,1,1)(2,1,0)(2,0,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0)),0)))\)

(0,0,0)(1,1,1)(2,1,0)(2,1,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0)),{\tau_0}({\Omega}))))\)

(0,0,0)(1,1,1)(2,1,0)(2,1,0)(1,1,1)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0)),{\tau_0}({\tau_1}(0)))))\)

(0,0,0)(1,1,1)(2,1,0)(3,0,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),0))))\)

(0,0,0)(1,1,1)(2,1,0)(3,1,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_0}({\Omega})))))\)

(0,0,0)(1,1,1)(2,1,0)(3,1,0)(1,1,0)(2,2,1)(3,2,0)(4,1,0)

=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_0}({\Omega},{\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_0}({\Omega}))))))))\)

(0,0,0)(1,1,1)(2,1,0)(3,1,0)(1,1,0)(2,2,1)(3,2,0)(4,2,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_0}({\Omega},{\Omega})))))\)

(0,0,0)(1,1,1)(2,1,0)(3,1,0)(1,1,1)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0))))))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\Omega}))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,0)(1,1,0)(2,2,1)=\({\tau_0}({\tau_0}({\tau_1}(0),{\Omega},{\tau_0}({\Omega},{\tau_0}({\tau_1}(0)))))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,0)(1,1,0)(2,2,1)(3,1,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\Omega},{\tau_0}({\Omega},{\tau_0}({\tau_1}(0),{\tau_0}({\Omega})))))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,0)(1,1,0)(2,2,1)(3,2,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\Omega},{\tau_0}({\Omega},{\tau_0}({\tau_1}(0),{\tau_0}({\Omega},{\Omega})))))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,0)(1,1,0)(2,2,1)(3,2,0)(4,3,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\Omega},{\tau_0}({\Omega},{\tau_0}({\tau_1}(0),{\Omega}))))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,0)(1,1,0)(2,2,1)(3,2,0)(4,3,0)(2,2,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\Omega},{\tau_0}({\Omega},{\Omega})))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,0)(1,1,1)=\({\tau_0}({\tau_0}({\tau_1}(0),{\Omega},{\tau_0}({\tau_1}(0))))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,0)(1,1,1)(2,1,0)(3,2,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\Omega},{\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\Omega}))))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,0)(2,1,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\Omega},{\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\Omega}),{\tau_0}({\Omega}))))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,0)(2,1,0)(1,1,1)=\({\tau_0}({\tau_0}({\tau_1}(0),{\Omega},{\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\Omega}),{\tau_0}({\tau_1}(0)))))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,0)(2,1,0)(2,0,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\Omega},{\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\Omega}),{\tau_0}({\tau_1}(0)),0)))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,0)(2,1,0)(3,0,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\Omega},{\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\Omega}),{\tau_0}({\tau_1}(0),0))))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,0)(2,1,0)(3,2,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\Omega},{\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\Omega}),{\tau_0}({\tau_1}(0),{\Omega}))))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,0)(3,0,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\Omega},{\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\Omega},0))))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,0)(3,1,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\Omega},{\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\Omega},{\tau_0}({\Omega})))))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,0)(3,1,0)(1,1,1)=\({\tau_0}({\tau_0}({\tau_1}(0),{\Omega},{\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\Omega},{\tau_0}({\tau_1}(0))))))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,0)(3,1,0)(4,2,0)

=\({\tau_0}({\tau_0}({\tau_1}(0),{\Omega},{\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\Omega},{\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\Omega}))))))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,0)(3,2,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\Omega},{\tau_0}({\tau_1}(0),{\Omega})))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,0)(4,0,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\Omega},{\tau_0}({\tau_1}(0),{\Omega},0)))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,0)(4,1,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\Omega},{\tau_0}({\tau_1}(0),{\Omega},{\tau_0}({\Omega}))))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,0)(4,1,0)(5,2,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\Omega},{\tau_0}({\tau_1}(0),{\Omega},{\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\Omega})))))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,0)(4,2,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\Omega},{\tau_0}({\tau_1}(0),{\Omega},{\tau_0}({\tau_1}(0),{\Omega}))))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,0)(4,3,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\Omega},{\Omega}))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,1)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_1}(0)))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,1)(1,1,1)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_1}(0),{\tau_0}({\tau_1}(0))))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,1)(1,1,1)(2,1,0)(3,2,1)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_1}(0)))))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,1)(3,2,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_1}(0),{\tau_0}({\tau_1}(0),{\Omega})))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,1)(3,2,0)(4,3,1)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_1}(0),{\tau_0}({\tau_1}(0),{\Omega},{\tau_0}({\tau_1}(0),{\tau_1}(0)))))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,1)(3,2,0)(4,3,1)(4,3,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_1}(0),{\tau_0}({\tau_1}(0),{\Omega},{\Omega})))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,1)(3,2,1)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_1}(0))))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,0,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_1}(0),0)))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,1,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_1}(0),{\tau_0}({\Omega}))))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,1,0)(3,2,1)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_1}(0),{\tau_0}({\Omega})),{\tau_0}({\tau_1}(0),{\tau_1}(0))))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,2,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_1}(0),{\tau_0}({\Omega},{\Omega}))))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,2,0)(3,2,1)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_1}(0),{\tau_0}({\tau_1}(0),{\tau_1}(0)))))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,2,0)(5,3,0)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_1}(0),{\Omega}))\)

(0,0,0)(1,1,1)(2,1,0)(3,2,1)(4,2,0)(5,3,1)=\({\tau_0}({\tau_0}({\tau_1}(0),{\tau_1}(0),{\tau_1}(0)))\)

(0,0,0)(1,1,1)(2,1,1)=\({\tau_0}({\tau_0}({\tau_1}(1)))\)

(0,0,0)(1,1,1)(2,1,1)(1,1,1)=\({\tau_0}({\tau_0}({\tau_1}(1),{\tau_0}({\tau_1}(0))))\)

SLPpS

(0,1,2)=\({\beta_0}({\beta_0}({\Omega}))\)

(0,1,2,0,1,1,2,3)=\({\beta_0}({\beta_0}({\Omega}),0,{\beta_0}({\Omega}))\)

(0,1,2,0,1,1,2,3,0,1,2)=(|0,1,2,0,1,1,2,3|1,2,3,1,2,2,3,4|2,3,4,2,3,3,4,5|...)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega})))\)

(0,1,2,0,1,1,2,3,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega})))\)

(0,1,2,0,1,1,2,3,1,0,1,1,2,3,0,1,2)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),1,0,{\beta_0}({\Omega})))\)

(0,1,2,0,1,1,2,3,1,0,1,1,2,3,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),1,1))\)

(0,1,2,0,1,1,2,3,1,0,1,2)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),1,{\beta_0}({\Omega})))\)

(0,1,2,0,1,1,2,3,1,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),2))\)

(0,1,2,0,1,1,2,3,1,1,2)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),{\omega}))\)

(0,1,2,0,1,1,2,3,1,1,2,3)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),{\beta_0}({\beta_0}({\Omega}))))\)

(0,1,2,0,1,1,2,3,1,2)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),{\beta_0}({\beta_0}({\Omega}),0)))\)

(0,1,2,0,1,2)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),{\beta_0}({\Omega})))\)

(0,1,2,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0)))\)

(0,1,2,2)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega}))))\)

(0,1,2,2,0,1,2,2)=(|0,1,2,2,0,1,2|1,2,3,3,1,2,3|2,3,4,4,2,3,4|...)

(0,1,2,2,0,1,2)=(|0,1,2,2,0,1|1,2,3,3,1,2|2,3,4,4,2,3|...)

• A=0,1,1,2,3
• B=0,1,2,1,2,3,3

(0,1,2,2,A,0,1,2)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),0,{\beta_0}({\Omega})))\)

(0,1,2,2,A,0,1,2,A,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),0,{\beta_0}({\Omega}),1))\)

(0,1,2,2,A,0,1,2,0,1,2)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),0,{\beta_0}({\Omega}),{\beta_0}({\Omega})))\)

(0,1,2,2,A,0,1,2,0,1,2,2)=(0,1,2,2,0,1,1,2,3,0,1,2|0,1,2|1,2,3|2,3,4|...)

=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),0,{\beta_0}({\Omega},0,{\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})))))))\)

(0,1,2,2,A,0,1,2,1)

=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),0,{\beta_0}({\Omega},0,{\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega}))))),1))\)

(0,1,2,2,A,0,1,2,1,A,0,1,2,1)

=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),0,{\beta_0}({\Omega},0,{\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega}))))),1,1))\)

(0,1,2,2,A,0,1,2,1,A,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),0,{\beta_0}({\Omega},0,{\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega}))))),1,2))\)

(0,1,2,2,A,0,1,2,1,0,1,2)

=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),0,{\beta_0}({\Omega},0,{\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega}))))),{\beta_0}({\Omega})))\)

(0,1,2,2,A,0,1,2,1,0,1,2,1,1)

=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),0,{\beta_0}({\Omega},0,{\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})))),0)))\)

(0,1,2,2,A,B,0,1,2,2)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),0,{\beta_0}({\Omega},0,{\beta_0}({\Omega}))))\)

(0,1,2,2,A,B,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),1))\)

(0,1,2,2,A,B,1,A,B,0,1,2,2)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),1,0,{\beta_0}({\Omega},0,{\beta_0}({\Omega}))))\)

(0,1,2,2,A,B,1,A,B,0,1,2,2,A,B,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),1,0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),1))\)

(0,1,2,2,A,B,1,A,B,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),1,1))\)

(0,1,2,2,A,B,1,A,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),1,2))\)

(0,1,2,2,A,B,1,A,1,A,B,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),1,2,1))\)

(0,1,2,2,A,B,1,A,1,A,B,1,A,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),1,2,1,2))\)

(0,1,2,2,A,B,1,A,1,A,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),1,2,2))\)

(0,1,2,2,A,B,1,A,1,0,1,2)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),1,{\beta_0}({\Omega})))\)

(0,1,2,2,A,B,1,A,1,B,0,1,2,2)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),1,{\beta_0}({\Omega},0,{\beta_0}({\Omega}))))\)

(0,1,2,2,A,B,1,A,1,B,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),2))\)

(0,1,2,2,A,B,1,A,1,B,1,A,B,0,1,2,2)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega}),2,0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})))))\)

(0,1,2,2,A,B,1,A,1,B,1,A,B,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),2,1))\)

(0,1,2,2,A,B,1,A,1,B,1,A,B,1,A,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),2,1,2))\)

(0,1,2,2,A,B,1,A,1,B,1,A,B,1,A,1,B,0,1,2,2)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),2,1,{\beta_0}({\Omega},0,{\beta_0}({\Omega}))))\)

(0,1,2,2,A,B,1,A,1,B,1,A,B,1,A,1,B,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),2,2))\)

(0,1,2,2,A,B,1,A,1,B,1,A,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),2,3))\)

(0,1,2,2,A,B,1,A,1,B,1,A,1,B,0,1,2,2)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),2,{\beta_0}({\Omega},0,{\beta_0}({\Omega})))\)

(0,1,2,2,A,B,1,A,1,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),{\omega}))\)

(0,1,2,2,A,B,1,0,1,2)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),{\beta_0}({\Omega})))\)

(0,1,2,2,A,B,1,B,0,1,2,2)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),{\beta_0}({\Omega},0,{\beta_0}({\Omega}))))\)

(0,1,2,2,A,B,1,B,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega}),0)))\)

TLPpS

(0,1,2)=\({\beta_0}({\beta_0}({\Omega}))\)

(0,1,2,0,1,1,2,3)=\({\beta_0}({\beta_0}({\Omega}),0,{\beta_0}({\Omega}))\)

(0,1,2,0,1,1,2,3,0,1,2)=(|0,1,2,0,1,1,2,3|1,2,3,1,2,2,3,4|2,3,4,2,3,3,4,5|...)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega})))\)

(0,1,2,0,1,1,2,3,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega})))\)

(0,1,2,0,1,1,2,3,1,0,1,1,2,3,0,1,2)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),1,0,{\beta_0}({\Omega})))\)

(0,1,2,0,1,1,2,3,1,0,1,1,2,3,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),1,1))\)

(0,1,2,0,1,1,2,3,1,0,1,2)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},1,{\beta_0}({\Omega}))))\)

(0,1,2,0,1,1,2,3,1,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),2))\)

(0,1,2,0,1,1,2,3,1,1,2)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),{\omega}))\)

(0,1,2,0,1,1,2,3,1,1,2,3)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),{\beta_0}({\beta_0}({\Omega}))))\)

(0,1,2,0,1,1,2,3,1,2)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),{\beta_0}({\beta_0}({\Omega}),0)))\)

(0,1,2,0,1,2)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),{\beta_0}({\Omega})))\)

(0,1,2,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0)))\)

(0,1,2,1,2)=(|0,1,2,1|1,2,3,2|2,3,4,3|...)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega}))))\)

HUM

(0)(1)(2)(2)=|(0,0)(1,0)(2,0)|(1,1)(2,0)(3,0)|(2,2)(3,0)(4,0)|...=B(0,0,0)(1,1,1)

(0)(1)(2)(3)(3)=(0,0)(1,0)(2,0)(3,0)|(2,2)(3,0)(4,0)(5,0)|(4,4)(5,0)(6,0)(7,0)|...

(0,0)(1,0)(2,0)(3,0)(2,2)=(0,0,0)(1,0,0)(2,0,0)(3,0,0)|(2,1,1)(3,0,0)(4,0,0)(5,0,0)|(4,2,2)(5,0,0)(6,0,0)(7,0,0)|...

(0)(1)(2)(3)(4)(4)=|(0,0)(1,0)(2,0)(3,0)(4,0)|(3,3)(4,0)(5,0)(6,0)(7,0)|(6,6)(7,0)(8,0)(9,0)(10,0)|...

(0,0)(1,0)(2,0)(3,0)(4,0)(3,3)=|(0,0,0)(1,0,0)(2,0,0)(3,0,0)(4,0,0)|(3,2,2)(4,0,0)(5,0,0)(6,0,0)(7,0,0)|...

(0,0,0)(1,0,0)(2,0,0)(3,0,0)(4,0,0)(3,2,2)=|(0,0,0,0)(1,0,0,0)(2,0,0,0)(3,0,0,0)(4,0,0,0)|(3,2,1,1)(4,0,0,0)(5,0,0,0)(6,0,0,0)(7,0,0,0)|...

(0,0)(1,1)=B(0(0)0)(1(0)1)

(0,0)(1,1)(1,1)=B(0,0(0)0)(1,1(0)1)(1,1(0)0)

(0,0)(1,1)(2,0)=(0,0)|(1,1)|(1,1)|(1,1)|...=B(0,0(0)0)(1,1(0)1)(1,1(0)0)(2,0(0)0)

(0,0)(1,1)(2,0)(2,0)=|(0,0)(1,1)(2,0)|(1,1)(2,2)(3,0)|(2,2)(3,3)(4,0)|...

(0,0)(1,1)(2,0)(1,1)(2,2)=(0,0)(1,1)(2,0)|(1,1)|(2,1)|(3,1)|...

(0,0)(1,1)(2,0)(1,1)(2,1)=|(0,0)(1,1)(2,0)(1,1)|(2,0)(3,1)(4,0)(3,1)|(4,0)(5,1)(6,0)(5,1)|...

(0,0)(1,1)(2,0)(1,1)(2,0)(3,1)=B(0,0,0(0)0)(1,1,1(0)1)(1,1,0(0)0)(2,2,1(0)1)

(0,0)(1,1)(2,0)(1,1)(2,0)(3,1)(2,1)=B(0,0,0(0)0)(1,1,1(0)1)(1,1,0(0)0)(2,2,1(0)1)(2,1,0(0)0)

(0,0)(1,1)(2,0)(1,1)(2,0)(3,1)(2,2)=B(0,0,0(0)0)(1,1,1(0)1)(1,1,0(0)0)(2,2,1(0)1)(2,2,0(0)0)

(0,0)(1,1)(2,0)(1,1)(2,0)(3,1)(3,0)=B(0,0,0(0)0)(1,1,1(0)1)(1,1,1(0)0)

(0,0)(1,1)(2,0)(1,1)(2,0)(3,1)(3,1)=B(0,0,0(0)0)(1,1,1(0)1)(1,1,1(0)0)(2,1,0(0)0)

(0,0)(1,1)(2,0)(1,1)(2,0)(3,1)(4,0)=B(0,0,0(0)0)(1,1,1(0)1)(1,1,1(0)0)(2,1,0(0)0)(2,0,0(0)0)

(0,0)(1,1)(2,0)(1,1)(2,0)(3,1)(4,0)(3,1)(4,0)(5,0)(4,1)=B(0,0,0(0)0)(1,1,1(0)1)(1,1,1(0)0)(2,1,0(0)0)(2,1,0(0)0)

(0,0)(1,1)(2,0)(1,1)(2,0)(3,1)(4,0)(3,1)(4,0)(5,1)=B(0,0,0(0)0)(1,1,1(0)1)(1,1,1(0)0)(2,1,0(0))(3,2,1(0)1)

(0,0)(1,1)(2,0)(1,1)(2,1)=B(0,0,0(0)0)(1,1,1(0)1)(1,1,1(0)0)(2,1,0(0)0)(3,2,1(0)1)(3,2,1(0)0)(4,2,0(0)0)

(0,0)(1,1)(2,0)(1,1)(2,1)(3,0)(4,1)=B(0,0,0,0(0)0)(1,1,1,1(0)1)(1,1,1,0(0)0)(2,2,2,1(0)1)

(0,0)(1,1)(2,0)(1,1)(2,2)=B(0(0)0)(1(0)1)(1(0)1)

(0,0)(1,1)(2,0)(1,1)(2,2)(2,0)=B(0(0)0)(1(0)1)(2(0)0)

(0,0)(1,1)(2,0)(1,1)(2,2)(2,1)(3,2)=B(0,0(0)0)(1,1(0)1)(2,1(0)1)

(0,0)(1,1)(2,0)(1,1)(2,2)(2,2)=B(0,0(0)0)(1,1(0)1)(2,2(0)0)

(0,0)(1,1)(2,0)(1,1)(2,2)(3,0)=B(0,0(0)0)(1,1(0)1)(2,2(0)0)(3,0(0)0)

第2-\(m\)-階差数列

• m=-1

(0,1,2)=(0[1],2)=\({\varepsilon_0}\)

(0,1,2,2)=(0[1,1],2)=\({\varepsilon_1}\)

(0,1,2,2,3)=(0[1,1],2,3)=(0,1,2|2|2|2|...)=\({\psi_0({\omega})}\)

(0,1,2,2,3,4)=(0[1,1],2[1],4)=(|0,1,2,2,3|3,4,5,5,6|6,7,8,8,9|...)=\({\psi_0({\Omega})}\)

(0,1,2,2,3,4,2,3,4)=(0[1,1],2[1,1],2[1],4)=\({\psi_0({\Omega×2})}\)

(0,1,2,2,3,4,3)=\({\psi_0({\Omega×{\omega}})}\)

(0,1,2,2,3,4,4)=\({\psi_0({\Omega^2})}\)

(0,1,2,2,3,4,4,5)=\({\psi_0({\Omega^{\omega}})}\)

(0,1,2,2,3,4,4,5,6)=\({\psi_0({\Omega^{\Omega}})}\)

(0,1,2,3)=\({\psi_0({\psi_1(0)})}\)

(0,1,2,3,2)=\({\psi_0({\psi_1(0)+1})}\)

(0,1,2,3,2,3,4)=\({\psi_0({\psi_1(0)+{\Omega}})}\)

(0,1,2,3,2,3,4)=\({\psi_0({\psi_1(0)×2})}\)

(0,1,2,3,2,3,4,4)=\({\psi_0({\psi_1(0)×{\Omega}})}\)

(0,1,2,3,2,3,4,5)=\({\psi_0({\psi_1(0)^2})}\)

(0,1,2,3,2,3,4,5,4,5,6,7)=\({\psi_0({\psi_1(0)^{\psi_1(0)}})}\)

(0,1,2,3,3)=\({\psi_0({\psi_1(1)})}\)

(0,1,2,3,3,4,5)=\({\psi_0({\psi_1({\Omega})})}\)

(0,1,2,3,3,4,5,5,6,7,8)=\({\psi_0({\psi_1({\psi_1(0)})})}\)

(0,1,2,3,3,4,5,6)=\({\psi_0({\psi_1({\Omega_2})})}\)

(0,1,3)=\({\psi_0({\Omega_{\omega}})}\)

(0,1,3,3)=(0[1,2],3)=(|0,1,3|2,3,5|4,5,7|...)

(0,1,3,2)=\({\psi_0({\Omega_{\omega}+1})}\)

(0,1,3,2,3)=\({\psi_0({\Omega_{\omega}+{\omega}})}\)

(0,1,3,2,3,4)=\({\psi_0({\Omega_{\omega}+{\Omega}})}\)

(0,1,3,2,3,4,5)=\({\psi_0({\Omega_{\omega}+{\psi_1(0)}})}\)

(0,1,3,2,3,5)=\({\psi_0({\Omega_{\omega}+{\psi_1({\Omega_{\omega}})}})}\)

(0,1,3,2,3,5,3)=\({\psi_0({\Omega_{\omega}+{\psi_1({\Omega_{\omega}})×{\omega}}})}\)

(0,1,3,2,3,5,4)=\({\psi_0({\Omega_{\omega}+{\psi_1({\Omega_{\omega}})×{\Omega}}})}\)

(0,1,3,2,3,5,4,5,6)=\({\psi_0({\Omega_{\omega}+{\psi_1({\Omega_{\omega}})×{\Omega^2}}})}\)

(0,1,3,2,3,5,4,5,7)=\({\psi_0({\Omega_{\omega}+{\psi_1({\Omega_{\omega}+1})^2}})}\)

(0,1,3,3)=\({\psi_0({\Omega_{\omega}+{\psi_1({\Omega_{\omega}+1})}})}\)

(0,1,3,3,4)=\({\psi_0({\Omega_{\omega}+{\psi_1({\Omega_{\omega}+{\omega}})}})}\)

(0,1,3,3,4,5)=\({\psi_0({\Omega_{\omega}+{\psi_1({\Omega_{\omega}+{\Omega}})}})}\)

(0,1,3,3,4,6)=\({\psi_0({\Omega_{\omega}+{\psi_1({\Omega_{\omega}+{\psi_1({\Omega_{\omega}})}})}})}\)

(0,1,3,4)=\({\psi_0({\Omega_{\omega}+{\psi_1({\Omega_{\omega}+{\Omega_2}})}})}\)

(0,1,3,4,5)=(0[1,2,1],5)=(|0,1,3,4|4,5,7,8|8,9,11,12|...)

(0,1,3,4,4)=(0[1,2,1],4)=(|0,1,3,4|3,4,6,7|6,7,9,10|...)

(0,1,3,4,3,4,6,7)=\({\psi_0({\Omega_{\omega}+{\psi_1({\Omega_{\omega}+{\Omega_2}+{\psi_1({\Omega_{\omega}+{\Omega_2}})}})}})}\)

(0,1,3,4,4)=\({\psi_0({\Omega_{\omega}+{\psi_1({\Omega_{\omega}+{\Omega_2×2}})}})}\)

(0,1,3,4,4,5,6)=\({\psi_0({\Omega_{\omega}+{\psi_1({\Omega_{\omega}+{\Omega_2×{\Omega}}})}})}\)

(0,1,3,4,4,5,6,6,7,9)=\({\psi_0({\Omega_{\omega}+{\psi_1({\Omega_{\omega}+{\Omega_2×{\psi_1({\Omega_{\omega}+{\Omega_2}})}}})}})}\)

(0,1,3,4,4,5,6,7)=\({\psi_0({\Omega_{\omega}+{\psi_1({\Omega_{\omega}+{\Omega_2^2}})}})}\)

(0,1,3,4,4,5,7)=\({\psi_0({\Omega_{\omega}+{\psi_1({\Omega_{\omega}+{\psi_2({\Omega_{\omega}})}})}})}\)

(0,1,3,4,5)=\({\psi_0({\Omega_{\omega}+{\psi_1({\Omega_{\omega}+{\psi_2({\Omega_{\omega}+{\Omega_3}})}})}})}\)

(0,1,3,4,6)=\({\psi_0({\Omega_{\omega}×2})}\)

(0,1,3,5)=\({\psi_0({\Omega_{\omega}×{\omega}})}\)

(0,1,3,5,6,8)=\({\psi_0({\Omega_{\omega}×({\omega+1})})}\)

(0,1,3,5,6,8,10)=\({\psi_0({\Omega_{\omega}×{\omega×2}})}\)

(0,1,3,5,7)=\({\psi_0({\Omega_{\omega}×{\omega^2}})}\)

(0,1,3,6)=\({\psi_0({\Omega_{\omega}×{\omega^{\omega}}})}\)

(0,1,3,6,10...)=\({\psi_0({\Omega_{\omega}×{\varepsilon_0}})}\)

• m=0

(0,1,1,2,2)=(0[1,0,1],2)=\({\varepsilon_0}\)

(0,1,1,2,2,3)=\({\psi_0({\omega})}\)

(0,1,1,2,2,3,2,3,3,4,4)=(0[1,0,1,0,1],2[1,0,1],4)=\({\psi_0({\Omega})}\)

(0,1,1,2,2,3,2,3,3,4,4,2,3,3,4,4)=\({\psi_0({\Omega×2})}\)

(0,1,1,2,2,3,2,3,3,4,4,3)=\({\psi_0({\Omega×{\omega}})}\)

(0,1,1,2,2,3,2,3,3,4,4,4)=\({\psi_0({\Omega^2})}\)

(0,1,1,2,2,3,2,3,3,4,4,5)=\({\psi_0({\Omega^{\omega}})}\)

(0,1,1,2,2,3,2,3,3,4,4,5,4,5,5,6,6)=\({\psi_0({\Omega^{\Omega}})}\)

(0,1,1,2,2,3,3)=\({\psi_0({\psi_1(0)})}\)

(0,1,1,2,2,3,3,2)=\({\psi_0({\psi_1(0)+1})}\)

(0,1,1,2,2,3,3,2,3,3,4,4)=\({\psi_0({\psi_1(0)+{\Omega}})}\)

(0,1,1,2,2,3,3,2,3,3,4,4,5,5)=\({\psi_0({\psi_1(0)×2})}\)

(0,1,1,2,2,3,3,2,3,3,4,4,5,5,4)=\({\psi_0({\psi_1(0)×{\Omega}})}\)

(0,1,1,2,2,3,3,2,3,3,4,4,5,5,4,5,5,6,6,7,7)=\({\psi_0({\psi_1(0)^2})}\)

(0,1,1,2,2,3,3,3)=\({\psi_0({\psi_1(1)})}\)

(0,1,1,2,2,3,3,4)=\({\psi_0({\psi_1({\omega})})}\)

(0,1,1,2,2,3,3,4,3,4,4,5,5)=\({\psi_0({\psi_1({\Omega})})}\)

(0,1,1,2,2,3,3,4,3,4,4,5,5,6,5,6,6,7,7,8,8)=\({\psi_0({\psi_1({\psi_1(0)})})}\)

(0,1,1,2,2,3,3,4,3,4,4,5,5,6,6)=\({\psi_0({\psi_1({\Omega_2})})}\)

(0,1,2)=\({\psi_0({\Omega_{\omega}})}\)

(0,1,2,2)=\({\psi_0({\Omega_{\omega}+1})}\)

(0,1,2,2,3,3)=(0[1,1,0,1],3)=(|0,1,2,2,3|2,3,4,4,5|4,5,6,6,7|...)

(0,1,2,2,3,2,3,3,4,4)=(|0[1,1,0,1],2[1,0,1],4)=\({\psi_0({\Omega_{\omega}+{\Omega}})}\)

(0,1,2,2,3,2,3,4)=\({\psi_0({\Omega_{\omega}+{\psi_1({\Omega_{\omega}})}})}\)

(0,1,2,2,3,3)=\({\psi_0({\Omega_{\omega}+{\psi_1({\Omega_{\omega}+1})}})}\)

(0,1,2,2,3,3,4,3,4,4,5,5)=\({\psi_0({\Omega_{\omega}+{\psi_1({\Omega_{\omega}+{\Omega}})}})}\)

(0,1,2,2,3,3,4,4)=(|0,1,2,2,3,3,4|3,4,5,5,6,6,7|6,7,8,8,9,9,10|...)=\({\psi_0({\Omega_{\omega}+{\psi_1({\Omega_{\omega}+{\Omega_2}})}})}\)

(0,1,2,2,3,4)=\({\psi_0({\Omega_{\omega}×2})}\)

(0,1,2,3)=\({\psi_0({\Omega_{\omega}×{\omega^2}})}\)

(0,1,3)=\({\psi_0({\Omega_{\omega}×{\omega^{\omega}}})}\)

(0,1,3,4,6)=\({\psi_0({\Omega_{\omega}×{\omega^{\omega×2}}})}\)

(0,1,3,5)=\({\psi_0({\Omega_{\omega}×{\omega^{\omega^2}}})}\)

(0,1,3,6)=\({\psi_0({\Omega_{\omega}×{\omega^{\omega^{\omega}}}})}\)

(0,1,3,10...)=\({\psi_0({\Omega_{\omega}×{\varepsilon_0}})}\)

• m=1

(0,1,1,2,1,2,2,3,2)=(0[1,0,1,-1,1,0,1]2)=\({\varepsilon_0}\)

(0,1,1,2,1,2,2,3,2,1,2,2,3,2)=\({\varepsilon_1}\)

(0,1,1,2,1,2,2,3,2,2)=(0[1,0,1],1[1,0,1],2,2)=\({\psi_0({\omega})}\)

(0,1,1,2,1,2,2,3,2,3)=\({\psi_0({\omega^{\omega}})}\)

(0,1,1,2,1,2,2,3,2,3,2)=\({\psi_0({\omega^{\omega}+1})}\)

(0,1,1,2,1,2,2,3,2,3,2,1,2,2,3,2)=\({\psi_0({\omega^{\omega}+2})}\)

(0,1,1,2,1,2,2,3,2,3,2,2)=\({\psi_0({\omega^{\omega+1}})}\)

(0,1,1,2,1,2,2,3,2,3,3,4,3)=(0[1,0,1,-1,1,0,1,-1,1,0,1],3)=(|0,1,1,2,1,2,2,3,2,3,3,4|2,3,3,4,3,4,4,5,4,5,5,6|4,5,5,6,5,6,6,7,6,7,7,8|...)

(0,1,1,2,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,4)=\({\psi_0({\Omega})}\)

(0,1,1,2,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,4,2)=\({\psi_0({\Omega}+1)}\)

(0,1,1,2,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,4,2,1,2,2,3,2)=\({\psi_0({\Omega+2})}\)

(0,1,1,2,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,4,2,2)=\({\psi_0({\Omega×{\omega}})}\)

(0,1,1,2,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,4,2,3,3,4,3,4,4,5,4)=\({\psi_0({\Omega^2})}\)

(0,1,1,2,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,4,3)=\({\psi_0({\Omega^{\omega}})}\)

(S_2,S_2+1,S_2+2,S_2+2,S_2+3,S_2+4,S_2+4,S_2+5,S_2+6,4)=\({\psi_0({\Omega^{\Omega}})}\)

(S_2,S_2+1,S_2+2,3)=\({\psi_0({\psi_1(0)})}\)

(0,1,1,2,2)=\({\psi_0({\Omega_{\omega}})}\)

(0,1,1,2,2,2)=(|0,1,1,2,2|1,2,2,3,3|2,3,3,4,4|...)

(0,1,1,2,2,1,2,2,3,2)=\({\psi_0({\Omega_{\omega}+1})}\)

(0,1,1,2,2,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,4)=\({\psi_0({\Omega_{\omega}+{\Omega}})}\)

(0,1,1,2,2,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,4,5,5,6,5)=\({\psi_0({\Omega_{\omega}+{\psi_1(0)}})}\)

(0,1,1,2,2,1,2,2,3,2,3,3,4,2,3,3,4,4)=\({\psi_0({\Omega_{\omega}+{\psi_1({\Omega_{\omega}})}})}\)

(0,1,1,2,2,1,2,2,3,2,3,3,4,3)=\({\psi_0({\Omega_{\omega}+{\psi_1({\Omega_{\omega}+1})}})}\)

(0,1,1,2,2,1,2,2,3,3)=\({\psi_0({\Omega_{\omega}×2})}\)

(0,1,1,2,2,1,2,2,3,3,2)=\({\psi_0({\Omega_{\omega}×2+1})}\)

(0,1,1,2,2,1,2,2,3,3,2,1,2,2,3,3)=\({\psi_0({\Omega_{\omega}×3})}\)

(0,1,1,2,2,1,2,2,3,3,2,2)=\({\psi_0({\Omega_{\omega}×{\omega}})}\)

(0,1,1,2,2,1,2,2,3,3,2,3,3,4,3)=\({\psi_0({\Omega_{\omega}×{\Omega}})}\)

(0,1,1,2,2,1,2,2,3,3,2,3,3,4,3,2,3,3,4,3,4,4,5,5)=\({\psi_0({\Omega_{\omega}×{\psi_1({\Omega_{\omega}})}})}\)

(0,1,1,2,2,1,2,2,3,3,2,3,3,4,4)=\({\psi_0({\Omega_{\omega}^2})}\)

(0,1,1,2,2,1,2,2,3,3,2,3,3,4,4,2)=\({\psi_0({\Omega_{\omega}^2+1})}\)

(0,1,1,2,2,1,2,2,3,3,2,3,3,4,4,2,1,2,2,3,3,2,3,3,4)=\({\psi_0({\Omega_{\omega}^2}+{\psi_1({\Omega_{\omega}×2})})}\)

(0,1,1,2,2,1,2,2,3,3,2,3,3,4,4,2,2)=\({\psi_0({\Omega_{\omega}^2+{\psi_1({\Omega_{\omega}×2})×{\omega}}})}\)

(0,1,1,2,2,1,2,2,3,3,2,3,3,4,4,2,3,3,4,4,3,4,4,5,5,4,5,5,6,6)=\({\psi_0({\Omega_{\omega}^2+{\psi_1({\Omega_{\omega}^2})}})}\)

(0,1,1,2,2,1,2,2,3,3,2,3,3,4,4,3)=\({\psi_0({\Omega_{\omega}^2+{\psi_1({\Omega_{\omega}^2+1})}})}\)

(0,1,1,2,2,1,2,2,3,3,2,3,3,4,4,3,2,1,2,2,3,3)=\({\psi_0({\Omega_{\omega}^2+{\Omega_{\omega}}})}\)

(0,1,1,2,2,1,2,2,3,3,2,3,3,4,4,3,2,1,2,2,3,3,2,3,3,4,4)=\({\psi_0({\Omega_{\omega}^2×2})}\)

(0,1,1,2,2,1,2,2,3,3,2,3,3,4,4,3,2,2)=\({\psi_0({\Omega_{\omega}^2×{\omega}})}\)

(0,1,1,2,2,1,2,2,3,3,2,3,3,4,4,3,2,3,3,4,4)=\({\psi_0({\Omega_{\omega}^3})}\)

(0,1,1,2,2,1,2,2,3,3,2,3,3,4,4,3,3)=\({\psi_0({\Omega_{\omega}^{\omega}})}\)

(0,1,1,2,2,1,2,2,3,3,2,3,3,4,4,3,4,4,5,5)=\({\psi_0({\Omega_{\omega}^{\Omega_{\omega}}})}\)

(0,1,1,2,2,2)=\({\psi_0({\psi_{\omega}(0)})}\)

(0,1,1,2,2,2,1,2,2,3,3)=\({\psi_0({\psi_{\omega}(0)+{\Omega_{\omega}}})}\)

(0,1,1,2,2,2,1,2,2,3,3,3)=\({\psi_0({\psi_{\omega}(0)×2})}\)

(0,1,1,2,2,2,2)=\({\psi_0({\psi_{\omega}(1)})}\)

(0,1,1,2,2,3)=\({\psi_0({\psi_{\omega}({\omega})})}\)

(0,1,1,2,2,3,2,3)=\({\psi_0({\psi_{\omega}({\omega×2})})}\)

(0,1,1,2,2,3,2,3,3,4,3)=\({\psi_0({\psi_{\omega}({\Omega})})}\)

(0,1,1,2,2,3,2,3,3,4,4)=\({\psi_0({\psi_{\omega}({\Omega_{\omega}})})}\)

(0,1,1,2,2,3,2,3,3,4,4,4)=\({\psi_0({\psi_{\omega}({\psi_{\omega}(0)})})}\)

(0,1,1,2,2,3,3)=\({\psi_0({\psi_{\omega}({\Omega_{\omega+1}})})}\)

(0,1,2)=\({\psi_0({\psi_{\omega}({\psi_{\omega+1}(0)})})}\)

PLSZNOS

(0,0)(1,1)=\({\beta_0}({\beta_0}({\Omega}))\)

(0,0)(1,1)(0,0)(0,0)(1,1)=\({\beta_0}({\beta_0}({\Omega}),0,{\beta_0}({\Omega}))\)

(0,0)(1,1)(0,0)(1,0)=\({\beta_0}({\beta_0}({\Omega}),1)\)

(0,0)(1,1)(0,0)(1,0)(1,0)=\({\beta_0}({\beta_0}({\Omega}),1,2)\)

(0,0)(1,1)(0,0)(1,0)(2,1)=\({\beta_0}({\beta_0}({\Omega}),1,{\beta_0}({\Omega}))\)

(0,0)(1,1)(0,0)(1,0)(2,1)(0,0)(1,0)=\({\beta_0}({\beta_0}({\Omega}),1,{\beta_0}({\Omega}),1)\)

(0,0)(1,1)(0,0)(1,0)(2,1)(0,0)(1,0)(1,0)=\({\beta_0}({\beta_0}({\Omega}),2)\)

(0,0)(1,1)(0,0)(1,0)(2,1)(0,0)(1,0)(2,1)=\({\beta_0}({\beta_0}({\Omega}),{\beta_0}({\Omega}))\)

(0,0)(1,1)(0,0)(1,0)(2,1)(1,0)=\({\beta_0}({\beta_0}({\Omega},0))\)

(0,0)(1,1)(0,0)(1,0)(2,1)(1,0)(2,0)(3,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\beta_0}({\Omega}))))\)

(0,0)(1,1)(0,0)(1,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega})))\)

(0,0)(1,1)(0,0)(1,1)(0,0)(1,0)(2,1)(1,0)(2,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega})),1,{\beta_0}({\Omega},0,{\beta_0}({\Omega})))\)

(0,0)(1,1)(0,0)(1,1)(0,0)(1,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),0,{\beta_0}({\Omega})))\)

(0,0)(1,1)(1,0)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),1))\)

(0,0)(1,1)(1,0)(0,0)(1,0)(0,0)(1,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),1,0,{\beta_0}({\Omega})))\)

(0,0)(1,1)(1,0)(0,0)(1,0)(0,0)(1,1)(1,0)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),1,0,{\beta_0}({\Omega}),1))\)

(0,0)(1,1)(1,0)(0,0)(1,0)(1,0)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),1,1))\)

(0,0)(1,1)(1,0)(0,0)(1,0)(1,0)(1,0)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),1,2))\)

(0,0)(1,1)(1,0)(0,0)(1,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),1,{\beta_0}({\Omega})))\)

(0,0)(1,1)(1,0)(0,0)(1,1)(0,0)(1,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),1,{\beta_0}({\Omega}),0,{\beta_0}({\Omega})))\)

(0,0)(1,1)(1,0)(0,0)(1,1)(1,0)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),1,{\beta_0}({\Omega}),1))\)

(0,0)(1,1)(1,0)(1,0)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),2))\)

(0,0)(1,1)(1,0)(2,0)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),{\omega}))\)

(0,0)(1,1)(1,0)(2,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),{\beta_0}({\Omega})))\)

(0,0)(1,1)(1,0)(2,1)(1,0)(2,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),{\beta_0}({\Omega}),{\beta_0}({\Omega})))\)

(0,0)(1,1)(1,0)(2,1)(2,0)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0)))\)

(0,0)(1,1)(1,0)(2,1)(2,0)(3,0)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,1)))\)

(0,0)(1,1)(1,0)(2,1)(2,0)(3,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega}))))\)

(0,0)(1,1)(1,1)=\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega})))\)

(0,0)(1,1)(2,0)=\({\beta_0}({\beta_0}({\Omega},1))\)

(0,0)(1,1)(2,0)(1,1)=\({\beta_0}({\beta_0}({\Omega},1,0,{\Omega}))\)

(0,0)(1,1)(2,0)(1,1)(1,1)(2,0)=\({\beta_0}({\beta_0}({\Omega},1,0,{\Omega},1))\)

(0,0)(1,1)(2,0)(1,1)(2,0)=\({\beta_0}({\beta_0}({\Omega},1,1))\)

(0,0)(1,1)(2,0)(2,0)=\({\beta_0}({\beta_0}({\Omega},1,2))\)

(0,0)(1,1)(2,0)(3,1)=\({\beta_0}({\beta_0}({\Omega},1,{\beta_0}({\Omega})))\)

(0,0)(1,1)(2,1)=\({\beta_0}({\beta_0}({\Omega},1,{\Omega}))\)

(0,0)(1,1)(2,1)(1,1)(2,0)=\({\beta_0}({\beta_0}({\Omega},1,{\Omega},1))\)

(0,0)(1,1)(2,1)(1,1)(2,1)=\({\beta_0}({\beta_0}({\Omega},1,{\Omega},1,{\Omega}))\)

(0,0)(1,1)(2,1)(2,0)=\({\beta_0}({\beta_0}({\Omega},2))\)

(0,0)(1,1)(2,1)(2,0)(1,1)(1,1)(2,1)(2,0)=\({\beta_0}({\beta_0}({\Omega},2,0,{\Omega},2))\)

(0,0)(1,1)(2,1)(2,0)(1,1)(2,0)=\({\beta_0}({\beta_0}({\Omega},2,1))\)

(0,0)(1,1)(2,1)(2,0)(1,1)(2,0)(1,1)(2,1)=\({\beta_0}({\beta_0}({\Omega},2,1,{\Omega}))\)

(0,0)(1,1)(2,1)(2,0)(1,1)(2,0)(1,1)(2,1)(2,0)=\({\beta_0}({\beta_0}({\Omega},2,1,{\Omega},2))\)

(0,0)(1,1)(2,1)(2,0)(1,1)(2,0)(2,0)=\({\beta_0}({\beta_0}({\Omega},2,2))\)

(0,0)(1,1)(2,1)(2,0)(1,1)(2,1)=\({\beta_0}({\beta_0}({\Omega},2,{\Omega}))\)

(0,0)(1,1)(2,1)(2,0)(1,1)(2,1)(2,0)=\({\beta_0}({\beta_0}({\Omega},2,{\Omega},2))\)

(0,0)(1,1)(2,1)(2,0)(2,0)=\({\beta_0}({\beta_0}({\Omega},3))\)

(0,0)(1,1)(2,1)(2,0)(3,0)=\({\beta_0}({\beta_0}({\Omega},{\omega}))\)

(0,0)(1,1)(2,1)(2,1)=\({\beta_0}({\beta_0}({\Omega},{\Omega}))\)

(0,0)(1,1)(2,1)(3,0)=\({\beta_0}({\beta_0}({\beta_1(0)}))\)

(0,0)(1,1)(2,1)(3,0)(1,1)=\({\beta_0}({\beta_0}({\beta_1}(0),0,{\Omega}))\)

(0,0)(1,1)(2,1)(3,0)(1,1)(1,1)(2,1)(3,0)=\({\beta_0}({\beta_0}({\beta_1}(0),0,{\beta_1}(0)))\)

(0,0)(1,1)(2,1)(3,0)(1,1)(2,0)=\({\beta_0}({\beta_0}({\beta_1}(0),1))\)

(0,0)(1,1)(2,1)(3,0)(1,1)(2,0)(1,1)(2,1)(3,0)=\({\beta_0}({\beta_0}({\beta_1}(0),1,{\beta_1}(0)))\)

(0,0)(1,1)(2,1)(3,0)(1,1)(2,1)(3,0)=\({\beta_0}({\beta_0}({\beta_1}(0),{\beta_1}(0)))\)

(0,0)(1,1)(2,1)(3,0)(2,0)=\({\beta_0}({\beta_0}({\beta_1}(1)))\)

\({\beta}\)関数

\({\beta_0}({\beta_0}({\Omega}))={\psi_0({\Omega^{\Omega}})}\)

\({\beta_0}({\beta_0}({\Omega}),0,{\beta_0}({\Omega}))={\psi_0({\Omega^{\Omega}})×2}\)

\({\beta_0}({\beta_0}({\Omega}),{\omega})={\beta_0}({\Omega^{\Omega}+1})\)

\({\beta_0}({\beta_0}({\Omega}),{\beta_0}({\Omega}))={\psi_0({\Omega^{\Omega}+{\Omega^{\psi_0({\Omega^{\Omega}})}}})}\)

\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega})))={\psi_0({\Omega^{\Omega}×2})}\)

\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),1))={\psi_0({\Omega^{\Omega}×{\omega}})}\)

\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),1,{\beta_0}({\Omega})))={\psi_0({\Omega^{\Omega+1}})}\)

\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),2))={\psi_0({\Omega^{\Omega+{\omega}}})}\)

\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),2,{\beta_0}({\Omega})))={\psi_0({\Omega^{\Omega×2}})}\)

\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),3))={\psi_0({\Omega^{\Omega×{\omega}}})}\)

\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),3,{\beta_0}({\Omega})))={\psi_0({\Omega^{\Omega^2}})}\)

\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),4))={\psi_0({\Omega^{\Omega^{\omega}}})}\)

\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),4,{\beta_0}({\Omega})))={\psi_0({\Omega^{\Omega^{\Omega}}})}\)

\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),{\omega}))={\psi_0({\psi_1(0)})}\)

\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),{\omega^2}))={\psi_0({\psi_1({\Omega_2})})}\)

\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega}),{\beta_0}({\Omega})))={\psi_0({\psi_1({\Omega_2^{\Omega}})})}\)

\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0)))={\psi_0({\psi_1({\Omega_2^{\Omega}×{\omega}})})}\)

\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0),{\beta_0}({\Omega},0)))={\psi_0({\psi_1({\Omega_2^{\Omega}×{\omega^2}})})}\)

\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega}))))={\psi_0({\psi_1({\Omega_2^{\Omega}×{\Omega}})})}\)

\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),{\beta_0}({\Omega},0)))={\psi_0({\psi_1({\Omega_2^{\Omega}×{\Omega×{\omega}}})})}\)

\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),{\beta_0}({\Omega},0),{\beta_0}({\Omega},0,{\beta_0}({\Omega}))))={\psi_0({\psi_1({\Omega_2^{\Omega}×{\Omega^2}})})}\)

\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),{\beta_0}({\Omega},0,0)))={\psi_0({\psi_1({\Omega_2^{\Omega}×{\Omega^{\omega}}})})}\)

\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),{\beta_0}({\Omega},0,1,1)))={\psi_0({\psi_1({\Omega_2^{\Omega+1}})})}\)

\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),{\beta_0}({\Omega},0,1,1),{\beta_0}({\Omega},0,{\beta_0}({\Omega}))))={\psi_0({\psi_1({\Omega_2^{\Omega×2}})})}\)

\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),{\beta_0}({\Omega},0,1,1,0)))={\psi_0({\psi_1({\Omega_2^{\Omega×{\omega}}})})}\)

\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),{\beta_0}({\Omega},0,1,1,0),{\beta_0}({\Omega},0,{\beta_0}({\Omega}))))={\psi_0({\psi_1({\Omega_2^{\Omega^2}})})}\)

\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),{\beta_0}({\Omega},0,1,1,0,0)))={\psi_0({\psi_1({\Omega_2^{\Omega^{\omega}}})})}\)

\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),{\beta_0}({\Omega},0,1,1,0,0),{\beta_0}({\Omega},0,{\beta_0}({\Omega}))))={\psi_0({\psi_1({\Omega_2^{\Omega^{\Omega}}})})}\)

\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),{\beta_0}({\Omega},0,1,1,0,1)))={\psi_0({\psi_1({\Omega_2^{\psi_1(0)}})})}\)

\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega})),{\beta_0}({\Omega},0,{\beta_0}({\Omega}))))={\psi_0({\psi_1({\Omega_2^{\psi_1({\Omega_2^{\Omega}})}})})}\)

\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega}),0)))={\psi_0({\psi_1({\Omega_2^{\psi_1({\Omega_2^{\Omega}})×{\omega}}})})}\)

\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega}),0,{\beta_0}({\Omega}))))={\psi_0({\psi_1({\Omega_2^{\psi_1({\Omega_2^{\Omega}})×{\Omega}}})})}\)

\({\beta_0}({\beta_0}({\Omega},0,{\beta_0}({\Omega},0,{\beta_0}({\Omega},0))))={\psi_0({\psi_1({\Omega_2^{\psi_1({\Omega_2^{\Omega}})^{\omega}}})})}\)

\({\beta_0}({\beta_0}({\Omega},1))={\psi_0({\Omega_{\omega}})}\)

\({\beta_0}({\beta_0}({\Omega},1,{\beta_0}({\Omega})))={\psi_0({\Omega_{\Omega}})}\)

\({\beta_0}({\beta_0}({\Omega},1,{\Omega}))={\psi_0({\psi_I(0)})}\)

\({\beta_0}({\beta_0}({\Omega},1,{\Omega},0,{\beta_0}({\Omega},1,{\Omega})))\)

\(={\beta_0}({\beta_0}({\Omega},1,{\Omega},0,{\beta_0}({\Omega},1,{\beta_0}({\Omega},1,{\Omega},0,{\beta_0}({\Omega},1,{\beta_0}({\Omega},1,{\Omega},0,{\beta_0}({\Omega},1,...)))))))\)

\({\beta_0}({\Omega},1,{\Omega},0,{\beta_0}({\Omega},1,{\beta_0}({\Omega},1,{\Omega}),0,{\Omega},1))={\psi_0({\Omega_{\psi_I(0)+{\omega}}})}\)

\({\beta_0}({\beta_0}({\Omega},1,{\Omega},0,{\beta_0}({\Omega},1,{\beta_0}({\Omega},1,{\beta_0}({\Omega},1,{\Omega}),0,{\Omega},1))))={\psi_0({\Omega_{\Omega_{\psi_I(0)+{\omega}}}})}\)

\({\beta_0}({\beta_0}({\Omega},1,{\Omega},0,{\beta_0}({\Omega},1,{\Omega})))={\psi_0({\psi_I(1)})}\)

\({\beta_0}({\beta_0}({\Omega},1,{\beta_0},0,{\beta_0}({\Omega},1,{\Omega}),1))={\psi_0({\psi_I({\omega})})}\)

\({\beta_0}({\beta_0}({\Omega},1,{\Omega},0,{\beta_0}({\Omega},1,{\Omega}),1,{\beta_0}({\Omega},1,{\beta_0}({\Omega},1,{\Omega}))))={\psi_0({\psi_I({\psi_I(0)})})}\)

\({\beta_0}({\beta_0}({\Omega},1,{\Omega},0,{\beta_0}({\Omega},1,{\Omega}),1,{\beta_0}({\Omega},1,{\Omega})))={\psi_0({\psi_I(I)})}\)

\({\beta_0}({\beta_0}({\Omega},1,{\Omega},0,{\beta_0}({\Omega},1,{\Omega}),2))={\psi_0({\psi_I(I^{\omega})})}\)

\({\beta_0}({\beta_0}({\Omega},1,{\Omega},0,{\beta_0}({\Omega},1,{\Omega}),{\omega}))={\psi_0({\psi_I({\psi_{I+1}(0)})})}\)

\({\beta_0}({\beta_0}({\Omega},1,{\Omega},0,{\Omega},1))={\psi_0({\psi_I({\Omega_{I+{\omega}}})})}\)

\({\beta_0}({\beta_0}({\Omega},1,{\Omega},0,{\Omega},1,{\beta_0}({\Omega},1,{\beta_0}({\Omega},1,{\Omega}))))={\psi_0({\psi_I({\Omega_{I+{\psi_I(0)}}})})}\)

\({\beta_0}({\beta_0}({\Omega},1,{\Omega},0,{\Omega},1,{\beta_0}({\Omega},1,{\Omega})))={\psi_0({\psi_I({\Omega_{I×2}})})}\)

\({\beta_0}({\beta_0}({\Omega},1,{\Omega},0,{\Omega},1,{\Omega}))={\psi_0({\psi_I({\psi_{I_2}(0)})})}\)

\({\beta_0}({\beta_0}({\Omega},1,{\Omega},1))={\psi_0({\psi_{I_{\omega}}(0)})}\)

\({\beta_0}({\beta_0}({\Omega},1,{\Omega},1,{\beta_0}({\Omega},1,{\beta_0}({\Omega},1,{\Omega}))))={\psi_0({\psi_{I_{\psi_I(0)}}(0)})}\)

\({\beta_0}({\beta_0}({\Omega},1,{\Omega},1,{\beta_0}({\Omega},1,{\Omega})))={\psi_0({\psi_{I_I}(0)})}\)

\({\beta_0}({\beta_0}({\Omega},1,{\Omega},1,{\Omega}))={\psi_0({\psi_{I(1,0)}(0)})}={\tau_0}({\tau_0}({\tau_1}({\Omega},{\Omega})))\)

\({\beta_0}({\beta_0}({\Omega},1,{\Omega},1,{\Omega},0,{\Omega}))={\tau_0}({\tau_0}({\tau_1}({\Omega},{\Omega}),{\Omega}))\)

\({\beta_0}({\beta_0}({\Omega},1,{\Omega},1,{\Omega},0,{\Omega},1,{\Omega},1,{\Omega}))={\tau_0}({\tau_0}({\tau_1}({\Omega},{\Omega}),{\tau_1}({\Omega},{\Omega})))\)

\({\beta_0}({\beta_0}({\Omega},1,{\Omega},1,{\Omega},1))={\tau_0}({\tau_0}({\tau_1}({\Omega},{\Omega},0)))\)

\({\beta_0}({\beta_0}({\Omega},1,{\Omega},1,{\Omega},1,{\Omega}))={\tau_0}({\tau_0}({\tau_1}({\Omega},{\Omega},{\Omega})))\)

\({\beta_0}({\beta_0}({\Omega},2))={\tau_0}({\tau_0}({\tau_1}({\tau_1}(0))))\)

\({\beta_0}({\beta_0}({\Omega},2,0,{\Omega},2))={\tau_0}({\tau_0}({\tau_1}({\tau_1}(0)),{\tau_1}({\tau_1}(0))))\)

\({\beta_0}({\beta_0}({\Omega},2,1))={\tau_0}({\tau_0}({\tau_1}({\tau_1}(0),0)))\)

\({\beta_0}({\beta_0}({\Omega},2,1,{\Omega}))={\tau_0}({\tau_0}({\tau_1}({\tau_1}(0),{\Omega})))\)

\({\beta_0}({\beta_0}({\Omega},2,2))={\tau_0}({\tau_0}({\tau_1}({\tau_1}(1))))\)

\({\beta_0}({\beta_0}({\Omega},2,{\Omega}))={\tau_0}({\tau_0}({\tau_1}({\tau_1}({\Omega}))))\)

\({\beta_0}({\beta_0}({\Omega},3))={\tau_0}({\tau_0}({\tau_1}({\tau_1}({\tau_1}(0)))))\)

\({\beta_0}({\beta_0}({\Omega},{\omega}))={\tau_0}({\tau_0}({\tau_1}({\tau_1}({\Omega_2}))))\)

\({\beta_0}({\beta_0}({\Omega},{\omega},0,{\Omega},{\omega}))={\tau_0}({\tau_0}({\tau_1}({\tau_1}({\Omega_2})),{\tau_1}({\tau_1}({\Omega_2}))))\)

\({\beta_0}({\beta_0}({\Omega},{\omega},1))={\tau_0}({\tau_0}({\tau_1}({\tau_1}({\Omega_2}),0)))\)

\({\beta_0}({\beta_0}({\Omega},{\omega},1,{\Omega},{\omega}))={\tau_0}({\tau_0}({\tau_1}({\tau_1}({\Omega_2}),{\tau_1}({\Omega_2}))))\)

\({\beta_0}({\beta_0}({\Omega},{\omega},2))={\tau_0}({\tau_0}({\tau_1}({\tau_1}({\Omega_2},0))))\)

\({\beta_0}({\beta_0}({\Omega},{\omega},{\omega}))={\tau_0}({\tau_0}({\tau_1}({\tau_1}({\Omega_2},{\tau_1}({\Omega_2})))))\)

\({\beta_0}({\beta_0}({\Omega},{\omega},{\omega+1}))={\tau_0}({\tau_0}({\tau_1}({\tau_1}({\Omega_2},{\tau_1}({\Omega_2},0)))))\)

\({\beta_0}({\beta_0}({\Omega},{\omega},{\Omega}))={\tau_0}({\tau_0}({\tau_1}({\tau_1}({\Omega_2},{\tau_1}({\Omega_2},{\Omega})))))\)

\({\beta_0}({\beta_0}({\Omega},{\omega},{\Omega},{\omega}))={\tau_0}({\tau_0}({\tau_1}({\tau_1}({\Omega_2},{\tau_1}({\Omega_2},{\Omega}),{\tau_1}({\Omega_2})))))\)

\({\beta_0}({\beta_0}({\Omega},{\omega},{\Omega},{\omega},{\Omega}))={\tau_0}({\tau_0}({\tau_1}({\tau_1}({\Omega_2},{\tau_1}({\Omega_2},{\Omega}),{\tau_1}({\Omega_2},{\Omega})))))\)

\({\beta_0}({\beta_0}({\Omega},{\omega+1}))={\tau_0}({\tau_0}({\tau_1}({\tau_1}({\Omega_2},{\tau_1}({\Omega_2},{\Omega},0)))))\)

\({\beta_0}({\beta_0}({\Omega},{\omega+1},{\omega},{\Omega},{\omega+1}))={\tau_0}({\tau_0}({\tau_1}({\tau_1}({\Omega_2},{\tau_1}({\Omega_2},{\Omega},0),{\tau_1}({\Omega_2},{\Omega},0)))))\)

\({\beta_0}({\beta_0}({\Omega},{\omega+1},{\omega+1}))={\tau_0}({\tau_0}({\tau_1}({\tau_1}({\Omega_2},{\tau_1}({\Omega_2},{\Omega},0,0)))))\)

\({\beta_0}({\beta_0}({\Omega},{\omega+1},{\Omega}))={\tau_0}({\tau_0}({\tau_1}({\tau_1}({\Omega_2},{\tau_1}({\Omega_2},{\Omega},{\Omega})))))\)

\({\beta_0}({\beta_0}({\Omega},{\omega+2}))={\tau_0}({\tau_0}({\tau_1}({\tau_1}({\Omega_2},{\tau_1}({\Omega_2},{\tau_1}(0))))))\)

\({\beta_0}({\beta_0}({\Omega},{\omega×2}))={\tau_0}({\tau_0}({\tau_1}({\tau_1}({\Omega_2},{\tau_1}({\Omega_2},{\tau_1}({\tau_1}({\Omega_2})))))))\)

\({\beta_0}({\beta_0}({\Omega},{\omega^2}))={\tau_0}({\tau_0}({\tau_1}({\tau_1}({\Omega_2},{\tau_1}({\Omega_2},{\tau_1}({\Omega_2}))))))\)

\({\beta_0}({\beta_0}({\Omega},{\omega^{\omega}}))={\tau_0}({\tau_0}({\tau_1}({\tau_1}({\Omega_2},{\tau_1}({\Omega_2},{\tau_1}({\Omega_2},0))))))\)

\({\beta_0}({\beta_0}({\Omega},{\Omega}))={\tau_0}({\tau_0}({\tau_1}({\tau_1}({\Omega_2},{\tau_1}({\Omega_2},{\tau_1}({\Omega_2},{\tau_1}({\Omega_2})))))))\)