We introduce the simultaneous model for cake cutting (the fair allocation of a divisible good), in which agents simultaneously send messages containing a sketch of their preferences over the cake. We show that this model enables the computation of divisions that satisfy proportionality — a popular fairness notion — using a protocol that circumvents a standard lower bound via parallel informatio...

The use of biological phosphorus removal by activated sludge has been shown to have adverse effects downstream in the solids handling processes of anaerobic digestion. From struvite formation problems within the digesters to increased polymer dosage and dewatered biosolids solids content. The fundamental cause is unknown however phosphorus removal prior to anaerobic digestion has been shown to ...

Cake cutting has been recognized as a fundamental model in fair division, and several envy-free cake cutting algorithms have been proposed. Recent works from the computer science field proposed novelmechanisms for cake cutting, whose approaches are based on the theory of mechanism design; these mechanisms are strategy-proof, i.e., no agent has any incentive to misrepresent her utility function,...

Jatropha curcas belongs to the family Euphorbiaceae and is distributed in many tropical and subtropical countries. The toxicity of the whole seed Jatropha curcas has been known for a long time. Jatropha plant is used as a source of biodiesel. In addition to being a source of oil, Jatropha also provides seed-cake and is a by-product of oil extraction that serves as a highly nutritious and econom...

For decades researchers have struggled with the problem of envy-free cake cutting: how to divide a divisible good between multiple agents so that each agent likes his own allocation best. Although an envy-free cake cutting protocol was ultimately devised, it is unbounded, in the sense that the number of operations can be arbitrarily large, depending on the preferences of the agents. We ask whet...

We study the envy-free cake-cutting problem for d+1 players with d cuts, for both the oracle function model and the polynomial time function model. For the former, we derive a θ(( ǫ )) time matching bound for the query complexity of d + 1 player cake cutting with Lipschitz utilities for any d > 1. When the utility functions are given by a polynomial time algorithm, we prove the problem to be PP...

The relationship between the pore liquid pressure (pL) and the cake compressive stress (ps) is required in analyzing cake ltration. This relationship (for the one-dimensional case) is commonly assumed to be dpL+dps =0 although similar but di#erent ones may also be advanced from the multiphase 9ow theory. The e#ect of these di#erent expressions is studied by examining the correspondence between ...

The use of Argania spinosa press cake for livestock feed is limited due to the presence of saponins, which give it a very bitter flavor and make it unpalatable to livestock. The present study aims to evaluate whether a detoxification method reduces saponin levels of press cake and how that affects its nutrient contents. The response surface methodology was used in this study involved g...

The imaging finding of omental cake has been demonstrated in other modalities, such as computed tomography, magnetic resonance imaging, and ultrasonography. However, to the best of our knowledge, the image presentation of omental cake on a routine kidney-ureter-bladder film has not been reported before in the literature. We presented a unique case of a 61-year-old woman, with known advanced cec...

Species diversity and seasonal abundance of muscoid flies (Diptera: Muscidae) developing in biosolid cake (dewatered biosolids) stored at a wastewater treatment facility in northeastern Kansas were evaluated. Emergence traps were deployed 19 May through 20 October 2009 (22 wk) and 27 May through 18 November 2010 (25 wk). In total, 11,349 muscoid flies were collected emerging from the biosolid c...