It is shown that the shadow of a Sperner family can cover 10 percent of the Boolean algebra. Whether this can be improved to (100 -o(l))% remains open. 1 a91 < c( J2) -=I C' 5 (l-1) holds for every Sperner family 97 This was disproved by Kospanov [8] who
The statistics of the volumes covered by systems of penetrating spheres
β Scribed by T.W Melnyk; J.S Rowlinson
- Publisher
- Elsevier Science
- Year
- 1971
- Tongue
- English
- Weight
- 390 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0021-9991
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
An explicit expression is obtained for the generating series for the number of ramified coverings of the sphere by the torus, with elementary branch points and prescribed ramification type over infinity. This proves a conjecture of Goulden, Jackson, and Vainshtein for the explicit number of such cov
A study has been made of the absorption of SO2 by water flowing in a lamhrar Alm over the surface of single spheres and columns of spheres. By means of the penetration theory it is possible to correlate the data for spheres of radii from 1 to 8 cm, and for columns containing up to fourteen spheres.
An explicit expression is obtained for the generating series for the number of ramified coverings of the sphere by the double torus, with elementary branch points and prescribed ramification type over infinity. Thus we are able to determine various linear recurrence equations for the numbers of thes
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