A t-wise balanced design (tBD) of type t-vY KY ! is a pair XY Bwhere X is a velement set of points and B is a collection of subsets of X called blocks with the property that the size of every block is in K and every t-element subset of X is contained in exactly ! blocks. If K is a set of positive in
A necessary condition for balance of a block design
β Scribed by J. K. Baksalary; A. Dobek; R. Kala
- Publisher
- John Wiley and Sons
- Year
- 1980
- Tongue
- English
- Weight
- 198 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0323-3847
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper w e prove the following result. Let ml 2 m2 2 ... 2 ml be nonnegative integers. A necessary and sufficient condition for the complete graph K,, to be decomposed into stars S,,, , S
Corresponding to each odd integer q, we construct a complex orthogonal design. The number of variables and the form of the design depends on the integer q. Almost all of these designs are new and as a corollary we get a new asymptotic existence result for complex Hadamard matrices.
## Abstract A basic inequality which is necessary and sufficient for macroscopic stability of lumped dynamical systems is applied to obtain further insight into the construction of stability regions, development of stability and control criteria, and meaning and simplified derivation of some conven