Titlebook: Selecta Mathematica II; Karl Menger,Bert Schweizer,Abe Sklar,Leopold Schme Book 2003 Springer-Verlag GmbH Austria, part of Springer Nature

摘要

Commentary on Karl Menger’s Contributions to Analysisytisches Gebilde” (complete analytic function) defined by . as the set of all power series . obtained from . by direct and indirect analytic (i.e., holomorphic) continuation. In his article A.7, which is supplemented by his papers A.4, A.5 and A.6, K. Menger emphasizes that for many decades this was

AWRY

The Behavior of a Complex Function at Infinity.. This definition adequately describes the class of values .(z) for large z. For instance, the range near ∞of the identity function . (whose value for any z is .(z)=z) coincides with the range near 0 of the function ... But that definition does not in any way describe the structural behavior of f n

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A Characterization of Weierstrass Analytic Functionsof C. (the set of all ordered pairs of complex numbers) .. A complete Weierstrass function . is a set consisting of a power series and all its analytic continuations. Its graph, ϕ(.), is the set of all points (..,..) such that .includes at least one power series . of positive radius of convergence.

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羊栏

Une Caractérisation Des Fonctions Analytiquesomaine de Jordan contenu dans un plan. Il admettait encore l’hypothèse que toute correspondance biunivoque entre les images planes de deux voisinages, due à des points communs de ces derniers, soit continue. Dans sonéloge de Hilbert, H. Weyl (.) soulignait en 1944 qu’en définissant des varitéttés di

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Weierstrass Analytic Functionsansion of . introduction of a function as a power series — was formany decades the only alternative to the classical introduction of functions as laws or rules associating or pairing numbers with numbers or à la . — as those associations themselves. These traditional introductions are not entirely t

TOM

Définition intrinsèque de la notion de cheminplets. En topologie, depuis Jordan, nous éludions des trajectoires des mouvements, c’est-é-dire les ensembles des positions d’un mobile. Une idée intermédiaire, résultant d’une abstraction partielle du facteur temporel, est la notion de chemin.

整体

溺爱

A Topological Characterization of the Length of Pathssociated. For any particular metrization of . the corresponding length of paths is an example of a non-negative universal functional. To different metrizations of . correspond, in general, different lengths. . In other words, what properties of a functional λ are necessary and sufficient in order th

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