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Abstract We prove that finite flat digraph algebras and, more generally, finite compatible flat algebras satisfying a certain condition are finitely q-based (possess a finite basis for their quasiequations). We also exhibit an example of a twelve-element compatible flat algebra that is not finitely q-based.

Intra-continental deformation of soft zones during continental collision requires weak continental lithosphere which is able to be shortened across considerable width during later convergence. This enables significant thickening with formation of an orogenic root. We have examined models with a history of lithospheric thinning by pure shear during an earlier phase of intra-continental extension with associated heating. Geologically this situation is appropriate to intra-continental rifts and back-arc basins.

The polynomial equation approach can be used to solve a variety of important control problems. The approach leads to the requirement to solve linear polynomial equations. We present a new algorithm for the numerical solution of a general coupled pair of linear polynomial equations. The algorithm is based upon the method of polynomial reductions. Theoretically, solving the coupled equations together enhances the numerical robustness of the equation solution. The algorithm finds a specific and unique minimal degree solution of the equations. The general couple of equations studied is representative of a number of problems in linear control theory, and the minimal degree solution usually corresponds to an optimizing solution of the control problem

ChemInform is a weekly Abstracting Service, delivering concise information at a glance that was extracted from about 100 leading journals. To access a ChemInform Abstract of an article which was published elsewhere, please select a “Full Text” option. The original article is trackable via the “References” option.

An alternative synthesis of the known title compound (VIII), an agent exhibiting high immunoadjuvant activity, starts from the benzoylation product (Ib) of the readily available normuramate (Ia).

ChemInform is a weekly Abstracting Service, delivering concise information at a glance that was extracted from about 100 leading journals. To access a ChemInform Abstract of an article which was published elsewhere, please select a “Full Text” option. The original article is trackable via the “References” option.