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Günter Hellwig 《Mathematische Zeitschrift》1962,78(1):446-448
Ohne ZusammenfassungDem Gedächtnis vonErich Kamke gewidmet 相似文献
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Prof. Dr. Dieter Wolke 《Monatshefte für Mathematik》1985,100(4):337-339
It is shown that the function
(s) (k large) can be used to derive the prime number theorem from the known zero-free regions for the Riemann Zeta-function. For the proof no upper bound for |/(s)| is required. 相似文献
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Prof. Dr. Curt Christian 《Monatshefte für Mathematik》1977,83(3):191-200
Corresponding to a graduation of the comprehension predicateC there arise two systems PC1 and PC2. PC1 represents constructive mathematics whereas PC2 as a restricted enlargement of PC1 enables one to deal with full set theory. Unnatural definitions likeKuratowski's ordered pair and identification of 0 and
are avoided. In PC1 the postulate introduced for ordered pairs holds not only for sets but for classes generally. The comprehension condition in PC1 implicitly contains a set axiom for at most denumerable calsses and for ordered pairs. By introduction of the concept ordered self-pair the real numbers are interpreted as self-pairs of (non denumerable) equivalence classes of concentrated ratioal sequences and they can be shown to be sets in PC1.
Motto: Funktoren- und Axio-meneinsparung ist mitunter am falschen Platz.
Diese Arbeit schließt an die in Mh. Math.82, 81–116 (1976) erschienene Arbeit Peano-Systeme desselben Autors an. 相似文献
Motto: Funktoren- und Axio-meneinsparung ist mitunter am falschen Platz.
Diese Arbeit schließt an die in Mh. Math.82, 81–116 (1976) erschienene Arbeit Peano-Systeme desselben Autors an. 相似文献
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Gudrun Albrecht 《Journal of Geometry》1994,50(1-2):1-10
In 1809 J. IVORY found a distance relation between any two confocal ellipsoids in Euclidean space E3. After that, the theorem of IVORY has been formulated for any two nondegenerate confocal quadrics of the same type. In this paper we succeed in completing these results and in formulating and proving them uniformly for any two quadrics of the same type belonging to a general system of confocal quadrics.
Herrn Prof. Dr. Oswald Giering zum 60. Geburtstag gewidmet 相似文献
Herrn Prof. Dr. Oswald Giering zum 60. Geburtstag gewidmet 相似文献
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K. Tandori 《Acta Mathematica Hungarica》1969,20(3-4):315-322
Ohne ZusammenfassungHerrn ProfessorG. Alexits zum 70. Geburtstag gewidmet 相似文献
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Wilhelm Forst 《manuscripta mathematica》1971,5(3):235-240
Luxemburg and Korevaar obtain in [3] a relationship between entire functions and Müntz's approximation theorem. In this note we want to show that a slightly modified version of [2] implies the main results of [3]. 相似文献