Carathéodory’s thermodynamics and constructive mathematics
✍ Scribed by A. Drago
- Book ID
- 112901336
- Publisher
- Società Italiana di Fisica
- Year
- 1982
- Weight
- 291 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0375-930X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In 1976, V. Boltyanski introduced the functional md for compact, convex bodies. With the help of this functional, some theorems of combinatorial geometry were derived. For example, the first author obtained a Helly-type theorem, later some particular cases of the Szo kefalvi Nagy problem were resolv
## 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
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