The accuracy of low-order mixed nite element methods for the incompressible (Navier-)Stokes equations is investigated in this work. Some numerical experiments suggest that the lowest-order stabilised P1{P0 method (linear velocity, constant pressure) is more eecient than the alternative a-priori stable non-conforming Crouzeix-Raviart (P?1{P0) approach. The relative accuracy of stabilised P1{P0 a...

Two targeted chromogenic octapeptide combinatorial libraries, comprised of 38 pools each containing 361 different peptides, were used to analyze the enzyme/substrate interactions of five plasmepsins. The first library (P1 library) was based on a good synthetic aspartic peptidase substrate [Westling, J., Cipullo, P., Hung, S. H., Saft, H., Dame, J. B., and Dunn, B. M. (1999) Protein Sci. 8, 2001...

We consider the integral domain restriction operator TΩ for certain bilinear operator T . We obtain that if (s, p1, p2) satisfies 1 p1 + 1 p2 ≥ 2 min{1,s} and ‖T‖Lp1×Lp2→Ls < ∞, then ‖TΩ‖Lp1×Lp2→Ls < ∞. For some special domain Ω, this property holds for triplets (s, p1, p2) satisfying 1 p1 + 1 p2 > 1 min{1,s} . 2010 Mathematics Subject Classification: 42B25.

In consenting to publish an extravagantly long report of the most tedious kind—a genome analysis (10)—this journal has shown what appears to be extraordinary indulgence. The genome is that of P1, a bacteriophage that, unlike certain of its cousins, neither raises hopes nor instills fear. P1 phage particles are not the “great hope of universal therapy and prophylaxis,” as Felix d’Hérelle believe...

Let P1, . . . ,Pn be properties of graphs. A (P1, . . . ,Pn)-partition of a graph G is a partition of the vertex set V (G) into subsets V1, . . . , Vn such that the subgraph G[Vi] induced by Vi has property Pi; i = 1, . . . , n. A graph G is said to be uniquely (P1, . . . ,Pn)-partitionable if G has exactly one (P1, . . . ,Pn)-partition. A property P is called hereditary if every subgraph of ev...

When we know the subjective probabilities (degrees of belief) p1 and p2 of two statements S1 and S2 , and we have no information about the relationship between these statements, then the probability of S1 & S2 can take any value from the interval max(p1 + p2 ? 1; 0); min(p1; p2)]. If we must select a single number from this interval, the natural idea is to take its midpoint. The corresponding \...