where the constant 0 < β < 1 depends on the constituents of the electrochemical system but not on their concentrations. Here λ is a constant highly dependent on their concentrations and g an externally imposed current. Assuming the presence of no sources or sinks in Ω, the balanced situation β = 1 2 and g = 0, the boundary value problem satisfied by the voltage potential becomes in ideal situation

Let S be a set of n ideals of a commutative ring A and let Geven (respectively Godd) denote the product of all the sums of even (respectively odd) number of ideals of S. If n ≤ 6 the product of Geven and the intersection of all ideals of S is included in Godd. In the case A is an Noetherian integral domain, this inclusion is replaced by equality if and only if A is a Dedekind domain.

The concept of a 0-distributive poset is introduced. It is shown that a section semicomplemented poset is distributive if and only if it is 0-distributive. It is also proved that every pseudocomplemented poset is 0-distributive. Further, 0-distributive posets are characterized in terms of their ideal lattices.

We present first ideas on how results about qualitative spatial reasoning can be exploited in reasoning about action and change. Current work concentrates on a line segment based calculus, the dipole calculus and necessary extensions for representing navigational concepts like turn right. We investigate how its conceptual neighborhood structure can be applied in the situation calculus for reaso...

Situation identification methodologies in pervasive computing aim to abstract low level context data into more meaningful high level contexts for use by context-aware application developers and users. Many situation identification techniques have been developed and successfully applied to limited scenarios. It is not possible to apply a single technique to a wide range of diverse applications. ...

When dentists are considering restoration of maxillary anterior teeth to improve esthetics, they must often choose between porcelain veneers and full-coverage crowns. Porcelain veneers are considered much more conservative in terms of the requirements for preparation, and they provide satisfactory, long-lasting esthetic results. Typically only the facial surface is involved in veneer preparatio...

This note states a conjecture for Nevanlinna theory or diophantine approximation, with a sheaf of ideals in place of the normal crossings divisor. This is done by using a correction term involving a multiplier ideal sheaf. This new conjecture trivially implies earlier conjectures in Nevanlinna theory or diophantine approximation, and in fact is equivalent to these conjectures. Although it does ...