## Duke Mathematical Journal, Volume 9 |

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### Contents

Agnew Ralph Palmer Limits of integrals | 10 |

Ambrose Warren and Kakutani Shizuo Structure and continuity | 25 |

Kaplansky Irving Maximal fields with valuations 303 | 59 |

20 other sections not shown

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### Common terms and phrases

1-units Abelian absolutely continuous algebraic algorithm American Mathematical Society analytic arbitrary assume automorphism blocks bounded chain class field coefficients commutative complete components consider contains continued fraction convergence Corollary corresponding defined definition denote derivatives determined differential divisor elements equation equivalence relations exists finite number fixed flow built formula function Galois group given Hence Heun's equation implies inequality infinite integer integral curve intersection interval invariant isomorphic Lemma linear mapping matrix measurable sets measure space minimal G. C. F. necessary and sufficient nilpotent non-negative non-zero normal null set obtained pair parameters partition plane polynomial prime problem proof of Theorem properties prove radical extension real numbers region result ring roots of unity satisfied sequence singular solution subgroup subset summable Suppose tangent Theorem theory tion transformation variables vectors zero