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Simplification of a Proof of Carathéodory's Theorem

✍ Scribed by Buchdahl, H. A.


Book ID
120222030
Publisher
American Institute of Physics
Year
1955
Tongue
English
Weight
448 KB
Volume
23
Category
Article
ISSN
0002-9505

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📜 SIMILAR VOLUMES


A generalization of carathéodory's theor
✍ Imre Bárány 📂 Article 📅 1982 🏛 Elsevier Science 🌐 English ⚖ 812 KB

The following theorem is lproved. If the sets VI, . . . , Vn+, CR" and a E fly:: conv Vi, then there exist elements ui E Vi (i = 1, . . . , n + 1) such that a E conv{o,, . . . , un+J. Thii is a generalization of Carathtidory's theorem. By applying this and similar results some open questions are ans

On suggested simplifications of CARATHÉO
✍ P. T. Landsberg 📂 Article 📅 1961 🏛 John Wiley and Sons 🌐 English ⚖ 546 KB

## Abstract The geometrical approach to thermodynamics which was initiated by CARATHÉODORY has recently been more widely accepted. In fact, in the last few years a number of attempts have been made aimed at simplifying it with a view to developing __an elementary__ approach. An attempt has also bee