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| Carathéodory's theorem (disambiguation) ： ウィキペディア英語版 |
Carathéodory's theorem
In mathematics, Carathéodory's theorem may refer to one of a number of results of Constantin Carathéodory:
*Carathéodory's theorem (conformal mapping), about the extension of conformal mappings to the boundary
*Carathéodory's theorem (convex hull), about the convex hulls of sets in Euclidean space
*Carathéodory's existence theorem, about the existence of solutions to ordinary differential equations
*Carathéodory's extension theorem, about the extension of a measure
*Borel–Carathéodory theorem, about the boundedness of a complex analytic function
*Carathéodory–Jacobi–Lie theorem, a generalization of Darboux's theorem in symplectic topology
* The Carathéodory kernel theorem, a geometric criterion for local uniform convergence of univalent functions
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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