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
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
## 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