Unexpected Coordination Behaviour of a Polypyrrole Ligand

The first coordination compounds of a hexapyrrin reveal an unexpected binding mode of longer open‐chain oligopyrroles to transition metal ions as observed by the X‐ray structural analysis of a Pd^II derivative.     

On the Castelnuovo-Mumford regularity and the arithmetic degree of monomial ideals

In the first part of this paper we show that the Castelnuovo-Mumford regularity of a monomial ideal is bounded above by its arithmetic degree. The second part gives upper bounds for the Castelnuovo-Mumford regularity and the arithmetic degree of a monomial ideal in terms of the degrees of its generators. These bounds can be formulated for an arbitrary homogeneous ideal in terms of any Gröbner basis.     

A generalization of the cosine-sine functional equation on groups

The functional equation f(xy)=f(x)g(y)+g(x)f(y)+h(x)h(y) is solved where f, g, h are complex functions defined on a group.     

Crystallographic report: Crystal structure of a two‐dimensional coordination polymer: dizinc diterephthalate pyrazine dihydrate

A two‐dimensional coordination polymer [Zn₂(tp)₂(pz)(H₂O)₂]_n (tp = terephthalate, pz = pyrazine) has been synthesized by the hydrothermal reaction of zinc terephthalate and pyrazine. The Zinc(II) centre is in a distorted pyramidal geometry, being coordinated by one water molecule, one nitrogen atom from a bridging pz and two different bridging tp ligands, one chelating and the other monodentate. Copyright © 2003 John Wiley & Sons, Ltd.     

µ2‐Diiodotetrakis(2‐hydroxymethyl‐1‐methyl‐1‐imidazole‐N3)dicadmium(II) bis[triiodo(2‐hydroxymethyl‐1‐methyl‐1‐imidazole‐N3)cadmate(II)] dihydrate

There are two types of Cd in the title compound, the six‐coordinated Cd atom in the cation is in a distorted octahedral geometry while the four‐coordinated Cd in the anion shows a distorted tetrahedral geometry. Copyright © 2005 John Wiley & Sons, Ltd.     

Further experimental study of fast fission with the Cl + Au system

The onset of fast fission was investigated with the Cl + Au system. The mass distribution of the fragments and the fusion cross sections were determined at six different bombarding energies. It turns out that the width of the symmetric component of the mass distribution increases strongly with the critical angular momentum. This could be related with the disappearance of the fission barrier due to centrifugal effects. A semi-static model is developed and the results are compared with the experimental data. In this framework, the observed broadening of the mass distribution can be attributed to the presence of the fast fission phenomenon.     

A multivariate Markov chain model for categorical data sequences and its applications in demand predictions

Markov models are commonly used in modelling many practicalsystems such as telecommunication systems, manufacturing systemsand inventory systems. In this paper we propose a multivariateMarkov chain model for modelling multiple categorical data sequences.We develop efficient estimation methods for the model parameters.We then apply the model and method to demand predictions fora soft-drink company in Hong Kong.