𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The p-Rank of (0, 1)-matrices

✍ Scribed by Gert Hillebrandt


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
405 KB
Volume
60
Category
Article
ISSN
0097-3165

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On the rank of random matrices
✍ C. Cooper πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 209 KB πŸ‘ 2 views

Let M = m ij be a random n Γ— n matrix over GF(2). Each matrix entry m ij is independently and identically distributed, with Pr m ij = 0 = 1 -p n and Pr m ij = 1 = p n . The probability that the matrix M is nonsingular tends to c 2 β‰ˆ 0 28879 provided min p 1 -p β‰₯ log n + d n /n for any d n β†’ ∞. Sharp

On the rank of certain matrices
✍ Pietro Corvaja; Umberto Zannier πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 98 KB

Osculating spaces and diophantine equations (with an Appendix by Pietro Corvaja and Umberto Zannier)" by M. Bolognesi and G. Pirola.