This work develops algorithmic results for the classic cake-cutting problem in which a divisible, heterogeneous resource (modeled as cake) needs to be partitioned among agents with distinct preferences. We focus on standard formulation of cake cutting wherein each agent must receive contiguous piece cake. Although multiple hardness exist this setup finding fair/efficient divisions, we show that...

Article history: Received 20 May 2013 Received in revised form 7 July 2014 Accepted 9 July 2014 Available online xxxx Communicated by B. Doerr

We study the problem of fair division of a heterogeneous resource among strategic players. Given a divisible heterogeneous cake, we wish to divide the cake among n players in a way that meets the following criteria: (I) every player (weakly) prefers his allocated cake to any other player’s share (such notion is known as envy-freeness), (II) the mechanism is strategy-proof (truthful), and (III) ...

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The aim of the work was to define the influence of dietary supplementation with GM (genetically modified) GT#4 flaxseed cake enriched in polyphenols on inflammation development in mice liver. Mice were given ad libitum isoprotein diets: (1) standard diet; (2) high-fat diet rich in lard, high-fat diet enriched with 30% of (3) isogenic flax Linola seed cake; and (4) GM GT#4 flaxseed cake; for 96 ...

A lab-scale membrane bioreactor (MBR) was continuously operated to investigate the membrane fouling. A new membrane fouling mechanism: osmotic pressure mechanism in cake layer filtration process was identified. Osmotic pressure was proposed to stem from the retention of counter-ions in the matrix of biopolymers in cake layer. Through Fourier transform infrared (FT-IR) spectroscopy and X-ray pho...

SIMULATION OF DUST CAKE BUILD-UP ON THE FILTER MEDIUM This section describes a physical model for cake and pressure build-up on candle filters. The model was aimed at investigating filtration operation and reverse pulse cleaning of the filter. It is useful to calculate the filter cake thickness and pressure drop along the filter candle. Figure 1 shows the schematic diagram of filter cake build-...

Flaxseed cake containing antioxidants is a valuable dietary component. Its nutritional effect may be diminished by the presence of anti-nutrients. The work was aimed at determining the effect of different contents of flaxseed cake in diets and their administration period on the development of rats and selected parameters of their health status. Diets with 15% and 30% addition of genetically mod...

This study aimed to determine the impact of replacing soybean meal with peanut cake in the diets of crossbred Boer goats as determined by carcass characteristics and quality and by the fatty acid profile of meat. Forty vaccinated and dewormed crossbred Boer goats were used. Goats had an average age of 5 mo and an average BW of 15.6 ± 2.7 kg. Goats were fed Tifton-85 hay and a concentrate consis...

This study compared the nutritional value of canola (B. napa) and mustard (B. hirta) press cakes obtained from the biodiesel industry as ingredients for use in diets fed to broiler chickens. A total of 210, one-day old, male broiler chicks were randomly assigned to one of seven dietary treatments. The control diet was based on wheat and soybean meal and contained 15% canola meal. For the experi...