## Memoirs of the Faculty of Science, Kyūsyū University: Kyūshū Daigaku Rigakubu Kiyō. Mathematics, Volume 12 |

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### Contents

Hiroshi Tanaka Certain Limit Theorems Concerning OneDimensional | 1 |

Nobuyuki Ikeda and Haruki Morimoto Notes on Some Relations | 12 |

Joji Kajiwara and Wasao Sibagaki A Note on an Existence Proof | 22 |

8 other sections not shown

### Common terms and phrases

a/NK/kA abelian extension analytic sheaf assertion assume assumption automorphism boundary machines class field theory coefficient cohomology group complex space condition conjugate cyclic cyclic extension decomposition theorem define definition denote diagram direct sum elementary abelian endomorphism exists an input f(xi firing inputs Formula Fourier series g-simplex Hence Hitotumatu's conjecture holomorphic functions holomorphic map homomorphisms induced inclusion maps indistinguishable Inequality input product integer Isomorphism Theorem K/k is normal Latin-connected Lemma Let K/k Levi's Levi's problem machine Mn,m,p Math Mayer-Vietoris cohomology sequence Norm Index Theorem norm residue open covering output sequence output symbols output-table pair partitions prime element Proof proposition 3.1 prove pure tamely ramified ramification number reduced form reduced machine relation respectively reversible machine root of unity sequential machine simple experiment simplicial maps state-table stationary inputs strongly connected machine subgroup sufficient statistic symmetric group tamely ramified extension variables