We describe the links existing between a recently introduced semideenite relaxation for the max-cut problem and the well known semideenite relaxation for the stable set problem underlying the Lovv asz's theta function. It turns out that the connection between the convex bodies deening the semideenite relaxations mimics the connection existing between the corresponding poly-hedra. We also show h...

Let $1 \lt q p \infty $, $1/r:=1/q-1/p$, and $T$ be a non-degenerate Calderón–Zygmund operator. We show that the commutator $[b,T]$ is compact from $L^p(\mathbb R^n)$ to $L^q(\mathbb if only $b=a+c$ with $a\in L^r(\mathbb $c

A number of genetic systems are described which involve the use of the yeast Saccharomyces cerevisiae. The systems may be used to detect the production of aneuploid cells produced during both mitotic and meiotic cell division in the presence of genetically active chemicals. During mitotic cell division, monosomic colonies (2n - 1) may be detected by plating upon selective medium. Increases in s...

Mutants were isolated which are derepressed for the synthesis of chorismate mutase P-prephenate dehydratase. No other enzymes involved in the synthesis of phenylalanine are derepressed in these strains. These mutants are able to grow in concentrations of o- and p-fluorophenylalanine that inhibit the growth of AB3259, the strain from which they were derived. They also excrete phenylalanine. Gene...