On the definition of geometric continuity
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 173 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0010-4485
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π SIMILAR VOLUMES
In this paper we prove that the mth root of a nonnegative definite matrix-valued function with continuous entries is continuous. In particular, if all the entries are , which generalizes the result on the square Ε½ .
Let G be a locally compact commutative group and let g and h be positive definite functions on G, which are not identically zero. We show that continuity of gh implies the existence of a character y of Gd (the discrete version of G) such that yg and y h are continuous. As corollary we get a special
## Abstract A cost analysis of the continuous fermentation of penicillin G shows that materials cost and product yields are more significant than throughput rate. Number of fermentation stages, productivity, and the implications for research and development are discussed.