ONCE MORE ABOUT ANTONIA TRYPHAINA

Once More about 80 Steiner Triple Systems on 15 Points Once More about 80 Steiner Triple Systems on 15 Points

Subsets of a v-set are in one-to-one correspondence with vertices of a v-dimensional unit cube, a Delaunay polytope of the lattice Z v. All vertices of the same cardinality k generate a (v?1)-dimensional root lattice A v?1 and are vertices of the Delaunay polytope P(v; k) of the lattice A v?1. Hence k-blocks of a t ? (v; k;) design, being identiied with vertices of P(v; k), generate a sub-latti...

Once more unto the breach, dear friends, once more.

The first issue of the World Journal of Critical Care Medicine (WJCCM), whose preparatory work was initiated on December 16, 2010, will be published on February 4, 2012. The WJCCM Editorial Board has now been established and consists of 105 distinguished experts from 27 countries. Our purpose of launching the WJCCM is to publish peer-reviewed, high-quality articles via an open-access online pub...

Divided Once More

Once More With Feeling

Limit complexities revisited [once more]

The main goal of this article is to put some known results in a common perspective and to simplify their proofs. We start with a simple proof of a result of Vereshchagin [13] saying that limsupnC(x|n) (here C(x|n) is conditional (plain) Kolmogorov complexity of x when n is known) equals C0 ′ (x), the plain Kolmogorov complexity with 0′-oracle. Then we use the same argument to prove similar resu...