On a matrix version of Cochran's statistical theorem
✍ Scribed by Peter Šemrl
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 417 KB
- Volume
- 237-238
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
A general easily checkable Cochran theorem is obtained for a normal random operator \(Y\). This result does not require that the covariance, \(\Sigma_{\mathbf{r}}\), of \(Y\) is nonsingular or is of the usual form \(A \otimes 2\); nor does it assume that the mean. \(\mu\). of \(Y\) is equal to zero.
## Abstract A version of Birkhoff's theorem is proved by constructive, predicative, methods. The version we prove has two conditions more than the classical one. First, the class considered is assumed to contain a generic family, which is defined to be a set‐indexed family of algebras such that if
## dedicated to professor w. t. tutte on the occasion of his eightieth birthday An edge e of a minimally 3-connected graph G is non-essential if and only if the graph obtained by contracting e from G is both 3-connected and simple. Suppose that G is not a wheel. Tutte's Wheels Theorem states that