Separation of formic, acetic, and propionic acids from the aqueous stream using membrane solvent extraction has been studied using three different membrane contactors made of polysulfone (PS), polyethersulfone (PES), and polyvinylidene fluoride (PVDF) using two different solvents; including ethyl acetate (EA) and diisopropyl ether (DIPE). The efciency of the membrane and e...

Optimized spatial partitioning algorithms are the corner stone of many successful experimental designs and statistical methods. Of these algorithms, the Centroidal Voronoi Tessellation (CVT) is the most widely utilized. CVT based methods require global knowledge of spatial boundaries, do not readily allow for weighted regions, have challenging implementations, and are inefficiently extended to ...

The number partitioning problem can be interpreted physically in terms of a thermally isolated non-interacting Bose gas trapped in a one-dimensional harmonic oscillator potential. We exploit this analogy to characterize, by means of a detour to the Bose gas within the canonical ensemble, the probability distribution for finding a specified number of summands in a randomly chosen partition of an...

Carbon is an essential element for the existence and evolution of life on Earth. Its abundance in Earth's crust mantle (the Bulk Silicate Earth, BSE) surprisingly high given that carbon strongly siderophile (metal-loving) at low pressures temperatures, hence should have segregated almost completely into core during accretion. Estimates concentration BSE lie range 100-260 ppm are much higher tha...

We introduce the Partitioning-Hub-Location-Routing Problem (PHLRP), a hub location problem involving graph partitioning and routing features. The PHLRP consists of partitioning a given network into sub-networks, locating at least one hub in each sub-network and routing the traffic within the network at minimum cost. This problem finds applications in deployment of an Internet Routing Protocol c...

High performance of data-parallel applications on heterogeneous platforms can be achieved by partitioning the data in proportion to the speeds of processors. It has been proven that the speed functions built from a history of time measurements better reflect different aspects of heterogeneity of processors. However, existing data partitioning algorithms based on functional performance models im...

Dynamic adaptive mesh re nement methods for the numerical solution to partial di erential equations yield highly advantageous ratios for cost/accuracy when compared to methods based upon static uniform approximations. Parallel/distributed implementations of these techniques, however, present signi cant challenges in dynamic data-distribution and load-balancing. This is because the choice of the...