• Thumbnail for Constantin Carathéodory
    Constantin Carathéodory (Greek: Κωνσταντίνος Καραθεοδωρή, romanized: Konstantinos Karatheodori; 13 September 1873 – 2 February 1950) was a Greek mathematician...
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  • In mathematics, Carathéodory's theorem may refer to one of a number of results of Constantin Carathéodory: Carathéodory's theorem (conformal mapping)...
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  • the maximum modulus principle. It is named for Émile Borel and Constantin Carathéodory. Let a function f {\displaystyle f} be analytic on a closed disc...
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  • Carathéodory's theorem: the latter theorem can be used to prove the former theorems and vice versa. The result is named for Constantin Carathéodory,...
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  • Carathéodory's criterion is a result in measure theory that was formulated by Greek mathematician Constantin Carathéodory that characterizes when a set...
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  • In measure theory, Carathéodory's extension theorem (named after the mathematician Constantin Carathéodory) states that any pre-measure defined on a given...
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  • In mathematics, Carathéodory's theorem is a theorem in complex analysis, named after Constantin Carathéodory, which extends the Riemann mapping theorem...
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  • Thumbnail for Alexander Karatheodori Pasha
    by Nasir al-Din al-Tusi. His great-nephew was the mathematician Constantin Carathéodory. Papadopoulos, Athanase (2018). "Naṣīr al-Dīn al-Ṭūsī's treatise...
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  • introduced by Constantin Carathéodory to provide an abstract basis for the theory of measurable sets and countably additive measures. Carathéodory's work on...
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  • Thumbnail for Thermodynamics
    motion of particles from their microscopic behavior. In 1909, Constantin Carathéodory presented a purely mathematical approach in an axiomatic formulation...
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  • Thumbnail for Second law of thermodynamics
    Kelvin (1851), and the statement in axiomatic thermodynamics by Constantin Carathéodory (1909). These statements cast the law in general physical terms...
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  • Thumbnail for Constantinos Caratheodory (1802–1879)
    Caratheodory (Greek: Κωνσταντίνος Καραθεοδωρή, romanized: Konstantinos Karatheodori, Turkish: Konstantin Karateodori, French: Constantin Carathéodory;...
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  • offene zusammenhängende Punktmenge heißt ein Gebiet. — Constantin Carathéodory, (Carathéodory 1918, p. 222) According to Hans Hahn, the concept of a domain...
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  • hyperbolic geometry. It is named after the Greek mathematician Constantin Carathéodory. Let (X, || ||) be a complex Banach space and let B be the open...
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  • Thumbnail for Hermann Minkowski
    David Hilbert, whom he first met at university in Königsberg. Constantin Carathéodory was one of his students there. By 1908 Minkowski realized that...
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  • In differential geometry, the Carathéodory conjecture is a mathematical conjecture attributed to Constantin Carathéodory by Hans Ludwig Hamburger in a...
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  • Thumbnail for Ionian University of Smyrna
    organization of the institution was undertaken by the mathematician Constantin Carathéodory. However, the University of Smyrna, the first to be established...
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  • Carathéodory's theorem shows existence of solutions (in a more general sense) for some discontinuous equations. The theorem is named after Constantin...
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  • In mathematical analysis, a Carathéodory function (or Carathéodory integrand) is a multivariable function that allows us to solve the following problem...
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  • Georg-August-Universität Göttingen; Constantin Carathéodory supervised his dissertation. In 1919, he became privatdozent under Constantin Carathéodory at University of Berlin...
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  • functions, respectively. It is named after Giuseppe Vitali and Constantin Carathéodory. Let X be a locally compact Hausdorff space equipped with a Borel...
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  • Thumbnail for Conformal map
    geometric function theory, New York: McGraw–Hill Book Co., MR 0357743 Constantin Carathéodory (1932) Conformal Representation, Cambridge Tracts in Mathematics...
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  • system (or of different such systems). The concept was coined by Constantin Carathéodory in 1909 ("adiabatische Erreichbarkeit") and taken up 90 years later...
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  • Thumbnail for Carl Ludwig Siegel
    prevented Siegel's appointment as a successor to the chair of Constantin Carathéodory in Munich. In Frankfurt he took part with Dehn, Hellinger, Paul...
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  • Thumbnail for Measure (mathematics)
    works of Émile Borel, Henri Lebesgue, Nikolai Luzin, Johann Radon, Constantin Carathéodory, and Maurice Fréchet, among others. Let X {\displaystyle X} be...
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  • part. Such functions had already been characterized in 1907 by Constantin Carathéodory in terms of the positive definiteness of their Taylor coefficients...
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  • Thumbnail for First law of thermodynamics
    This reinterpretation was systematically expounded in 1909 by Constantin Carathéodory, whose attention had been drawn to it by Max Born. Largely through...
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  • Thumbnail for Culture of Greece
    of the finite element method and the direct stiffness method. Constantin Carathéodory made significant contributions to the theory of functions of a...
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  • Henri Poincaré, who discussed it in 1890. A proof was presented by Constantin Carathéodory using measure theory in 1919. Any dynamical system defined by an...
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  • Thumbnail for Occupation of Smyrna
    Venizelos and entrusted to Professor German-Greek mathematician Constantin Carathéodory of Göttingen University, as head of the new university. In the...
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