CHEMISTRY: Made to Order Even More

Finite groups have even more centralizers

For a finite group $G$‎, ‎let $Cent(G)$ denote the set of centralizers of single elements of $G$‎. ‎In this note we prove that if $|G|leq frac{3}{2}|Cent(G)|$ and $G$ is 2-nilpotent‎, ‎then $Gcong S_3‎, ‎D_{10}$ or $S_3times S_3$‎. ‎This result gives a partial and positive answer to a conjecture raised by A‎. ‎R‎. ‎Ashrafi [On finite groups with a given number of centralizers‎, ‎Algebra‎ ‎Collo...

Nanoparticle assembly: made to order.

The DNA-mediated assembly of anisotropic gold nanoparticles shows the importance of particle shape in the controlled formation of DNA–nanoparticle superlattices. s ince the early days of the nanoscience revolution, scientists have recognized the great potential in exploiting the highly specific and recognitive properties of DNA to assemble nanomaterials. The four nucleotide bases of DNA bind on...

Compounded medications: made to order?

Extending Higher-Order Deforestation: Transforming Programs to Eliminate Even More Trees

In previous work, we have shown howWadler’s original deforestation algorithm can be extended to handle higher-order programs. A higher-order treeless form of expression was defined to ensure the termination of this algorithm. Our higher-order algorithm was further extended by Seidl and Sørensen, and this extension was shown to remove some intermediate structures not removed by our algorithm (al...

An Herbicide-Susceptible Rigid Ryegrass (Lolium rigidum) Population Made Even More Susceptible

A wild population of a plant species, especially a cross-pollinated species, can display considerable genetic variation. Genetic variability is evident in differential susceptibility to an herbicide because the population can show continuous phenotypic variation. Recent, recurrent selection studies have revealed that phenotypic variation in response to low herbicide rates is heritable and can r...