𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Existence of frame sols of type 2nu1

✍ Scribed by Xu Yunqing; Zhu Lie

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
981 KB
Volume
3
Category
Article
ISSN
1063-8539

No coin nor oath required. For personal study only.

✦ Synopsis

An SOLS (self-orthogonal latin square) of order n with ni missing sub-SOLS (holes) of order hi (1 5 i 5 k), which are disjoint and spanning (i.e., xlcisknihi = n), is called a frame SOLS and denoted by FSOLS(h;'h~2.. h?). In this article, it is shown that for u 2 2, an FSOLS(2"u') exists if and only if n 2 1 + u.

πŸ“œ SIMILAR VOLUMES

Holey SchrΓΆder designs of type 2nu1
Holey SchrΓΆder designs of type 2nu1
✍ F. E. Bennett; Ruizhong Wei; Hantao Zhang πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 283 KB

## A holey SchrΓΆder design of type h n ] of order m with ni missing subquasigroups (holes) of order hi, 1 ≀ i ≀ k, which are disjoint and spanning, that is, 1 ≀i≀k nihi = m. In this article, we first consider the existence of HSD(2 n u 1 ) for 1 ≀ u ≀ 4 and show that these HSDs exist if and only i

On the existence of room frames of type
On the existence of room frames of type tu for u = 4 and 5
✍ Ge Gennian; Zhu Lie πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 459 KB

In this article, we describe some new constructions for Room frames and use them to show the existence of Room frames of types t 4 and t s . Combining the result with those of Dinitz and Stinson leads to the following: the only cases for which the existence of Room frames is undecided are those type

Crystal Structure Determination of Zeoli
Crystal Structure Determination of Zeolite Nu-6(2) and Its Layered Precursor Nu-6(1)
✍ Stefano Zanardi; Alberto Alberti; Giuseppe Cruciani; Avelino Corma; Vicente Forn πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 190 KB

We thank the European Synchrotron Radiation Facility (ESRF) for providing beamtime. Special thanks to BM1 (the Swiss-Norwegian Beam Lines) staff for the kind assistance during data collections. Dr. A. Chica is acknowledged for performing catalytic tests. Dr. R. Rizzi (CNR-IC, Bari) and Dr. V. Ferret