On a Theorem of Cooper
✍ Scribed by J.C. Candeal; J.R. De Miguel; E. Induráin; G.B. Mehta
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 78 KB
- Volume
- 258
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper we study some purely mathematical considerations that arise in a paper of Cooper on the foundations of thermodynamics that was published in this journal. Connections with mathematical utility theory are studied and some errors in Cooper's paper are rectified.
📜 SIMILAR VOLUMES
1. In [ 8 ] , p. 201, P. LELONQ has shown the following theorem: "Let X be a domain in C", n 2 3, and k a fixed integer, 2 5 k 5 n -1. Then X is STEIN ii and only if lor extra assumptiong on X are needed, see e.g. GRAUERT-REMMERT, [6], p. 158, th. 1). Its equivalence with the classical LEVI problem
The theorem of Fong for a p-solvable group and the theorem of Green for a p-group, both on induced modules, are extended in a unified general setting, but in an elementary way.
Let be an irreducible character of G s GL ކ invariant under the automorphism of G induced by the field automorphism ކ d ª ކ d, x ¬ x q , and let e be a divisor of d. By a theorem of Shintani, there exists an extension of ˜e ² e : to G i whose Shintani descent to G is, up to a sign , an irred