## Duke Mathematical Journal, Volume 10 |

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57 pages matching **necessary and sufficient** in this book

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### Contents

Sequences of Stieltjes integrals III By H M Schwartz | 595 |

The coefficients of schlicht functions | 611 |

Conformal minimal varieties By E F Beckenbach and R H Bing | 637 |

11 other sections not shown

### Common terms and phrases

algebra American Mathematical Society analytic arbitrary bicompact boundary bounded canonical line cardinal number closed sets closure relation coefficients complete conjugate consider constant contains continued fraction convergence convex coordinates Corollary corresponding curve Darboux defined definition denote derivation determined differential equation domain elements equal equivalent exists expansion finite fixed formula Fourier series function geodesic given Hausdorff space Hence holds homeomorphism implies independent inequality integral intersection interval isomorphic Lemma linear topological space MGCF Moutard necessary and sufficient neighborhood non-void normal mapping obtain open set osculating plane polynomial positive number problem projective proof prove quadric region regular relative topology relativisation respect result ruled surface satisfies sequence solution subset sufficient condition summable Suppose surface topological Abelian group topological space transformation uniformly unit circle Urysohn Urysohn space variables vectors zero