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Carathéodory — Carathéodory, Constantin, Mathematiker griechischer Herkunft, * Berlin 13. 9. 1873, ✝ München 2. 2. 1950; Professor in Hannover (1905 10), Breslau, Göttingen (1913 18), Berlin, Smyrna (1920 22), Athen und München (1924 39). Seine mathematischen … Universal-Lexikon
Caratheodory — Constantin Carathéodory (ca. 1920) Constantin Carathéodory (griechisch Κωνσταντίνος Καραθεοδωρή Konstantínos Karatheodorí; * 13. September 1873 in Berlin; † 2. Februar 1950 in München) war ein griechischer Mathematiker (in der Literatur findet … Deutsch Wikipedia
Carathéodory's criterion — is a result in measure theory that was formulated by Greek mathematician Constantin Carathéodory. Its statement is as follows: Let lambda^* denote the Lebesgue outer measure on mathbb{R}^n, and let Esubseteqmathbb{R}^n. Then E is Lebesgue… … Wikipedia
Carathéodory's theorem — In mathematics, Carathéodory s theorem may refer to one of a number of results of Constantin Carathéodory:* Carathéodory s theorem (convex hull) about the convex hulls of sets in Euclidean space *Carathéodory s theorem (measure theory) about… … Wikipedia
Carathéodory metric — In mathematics, the Carathéodory metric is a metric defined on the open unit ball of a complex Banach space that has many similar properties to the Poincaré metric of hyperbolic geometry. It is named after the Greek mathematician Constantin… … Wikipedia
Carathéodory's extension theorem — See also Carathéodory s theorem for other meanings. In measure theory, Carathéodory s extension theorem proves that for a given set Ω, you can always extend a sigma; finite measure defined on R to the sigma; algebra generated by R , where R is a… … Wikipedia
Caratheodory Pascha — Alexander Carathéodory Pascha ( * 1833; † 1906) war ein osmanischer Diplomat griechischer Abstammung (in der Literatur finden sich verschiedene Schreibweisen des Namens: Karatheodori, Caratheodory, Carathéodori). Carathéodory Pascha war Phanariot … Deutsch Wikipedia
Carathéodory's theorem (convex hull) — See also Carathéodory s theorem for other meanings In convex geometry Carathéodory s theorem states that if a point x of R d lies in the convex hull of a set P , there is a subset P prime; of P consisting of d +1 or fewer points such that x lies… … Wikipedia
Carathéodory's theorem (conformal mapping) — See also Carathéodory s theorem for other meanings. In mathematics, Carathéodory s theorem in complex analysis states that if U is a simply connected open subset of the complex plane C, whose boundary is a Jordan curve Γ then the Riemann map : f … Wikipedia
Carathéodory conjecture — The Carathéodory conjecture is a mathematical conjecture attributed to Constantin Carathéodory by Hans Ludwig Hamburger in a session of the Berlin Mathematical Society in 1924, [1] . Other early referencesare the presentation [3] of Stefan Cohn… … Wikipedia
