Electrochemical and associated techniques for the study of the inclusion complexes of thymol and β-cyclodextrin and its interaction with DNA

Journal of Solid State Electrochemistry - Thymol, a potent agent for microbial, fungal, and bacterial disease, has low aqueous solubility and it is genotoxic, i.e., is capable of damaging...     

On fully invariant ideals of the free group algebra

Let be the group algebra of a free noncyclic group over an integral domain . It is proved that if is not a field, then there exists a fully invariant ideal of such is torsion-free but not projective as an -module. In other words, there exists a pure nonprojective variety of group representations over .

     

Development of a reference material for residues of chlorfluazuron and fluazuron in beef fat ACSL CRM 3

A beef fat sample was prepared and tested as candidate reference material for the pesticides chlorfluazuron (CFZ) and fluazuron (FZN). An analytical method employing HPLC with UV absorbance detection was developed for homogeneity and stability testing. The material consisted of beef fat spiked with acetone solutions of CFZ and FZN to achieve concentrations close to 1.0 mg/kg for each compound. The coefficients of variation of 7 analyses carried out to test between-jar homogeneity were 1.8% and 2.3% for FZN and CFZ, respectively. No instability of CFZ was detected over a three month period. The candidate reference material was found to be suitable for certification by interlaboratory testing.     

Quasi-interpolants from spline interpolation operators

For bi-infinite Toeplitz matrices, it is easy to see that thekth partial sum of the Neumann series reproduces polynomials of orderk There is no guarantee, however, that the spectral radius is less than 1. A principal result of this paper is to show that for the spline interpolation Toeplitz case the spectral radius is less than 1 whenA is invertible and the main diagonal is the central diagonal. This is not true for all totally positive Toeplitz matrices as shown by an example in Section 2.Communicated by Charles A. Micchelli.     

Mahler measure and entropy for commuting automorphisms of compact groups

We compute the joint entropy ofd commuting automorphisms of a compact metrizable group. LetR _d = [u ₁ ^±1 ,...,[d ₁ ^±1 ] be the ring of Laurent polynomials ind commuting variables, andM be anR _d -module. Then the dual groupX _M ofM is compact, and multiplication onM by each of thed variables corresponds to an action _M of ^d by automorphisms ofX _M . Every action of ^d by automorphisms of a compact abelian group arises this way. IffR _d , our main formula shows that the topological entropy of is given by