We consider a setting in which a single divisible good (“cake”) needs to be dividedbetween n players, each with a possibly different valuation function over pieces of thecake. For this setting, we address the problem of finding divisions that maximize thesocial welfare, focusing on divisions where each player needs to get one contiguouspiece of the cake. We show that for both th...

The main objective of this research was to test the hypothesis that bioavailable protein and, more specifically, the sulfur-containing amino acids within the protein, can be degraded by proteolytic enzymes to produce odor-causing compounds--mainly volatile sulfur compounds (VSCs)--during biosolids storage. To achieve these objectives, samples of digester effluent and cake solids were collected ...

A laboratory-scale submerged anaerobic membrane bioreactor (SAnMBR) treating sewage was used to investigate the membrane fouling mechanism. Characterization of cake layer formed on membrane surface showed that cake layer was hydrated, rich of extracellular polymeric substances (EPS) and negative charged with the charge density of 0.21-0.46 meq/kg MLSS. Detailed analysis revealed a new membrane ...

PHYSIOLOGY TEACHING often comprises of a large percentage of didactic lectures. A 1-h didactic lecture is often much longer than the average attention span of most students (2). It is preferable to use different methods to decrease the possible monotony of the didactic lecture (1). This is even more important when the topic being discussed has a greater number of facts that require memorizing. ...

The technique that employs flash freezing and environmental scanning electron microscopy (ESEM) was utilised for detailed investigation of the fouling materials in a membrane bioreactor (MBR). The method involves the flash freezing of a wet sample in liquid nitrogen for 10s to preserve its structure for direct ESEM observation with a high image resolution. ESEM images show that the sludge cake ...

The algorithmic aspects of the following problem are investigated: n (22) persons want to cut a cake into n shares so that every person will get at least l/n of the cake by his own measure and so that the number of cuts made on the cake is minimal. The cutting process is to be governed by a protocol (computer program). It is shown that no deterministic protocol exists which is fair (in a sense ...

Freshly harvested alfalfa was fractionated using centrifugation and filtration, whereby alfalfa was separated into a fiber-rich cake and a nutrient-rich juice. The solid cakes from the above separation processes were used as the feedstock for ethanol production using separate hydrolysis and fermentation. The filtration process proved to be more efficient at reducing the solids mass transfer to ...

We study the problem of finding an envy-free allocation of a cake to d+1 players using d cuts. Two models are considered, namely, the oracle-function model and the polynomial-time function model. In the oracle-function model, we are interested in the number of times an algorithm has to query the players about their preferences to find an allocation with the envy less than …. We derive a matchin...

This study, through an incubation experiment, evaluates the effect that different biomass ashes exert on the extractability of nutrients and some chemical parameters and dehydrogenase activity of a slightly acid soil. Three types of as were selected: two new ashes generated by the dry combustion of olive cake or by gasification of greenhouse vegetable wastes, and a third produced by wood combus...