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...

The problem studied in this paper arises from a simple practical problem: how to divide a cake among the children attending a birthday p a r t y i n s u c h a way that each c hild gets the same amount o f c a k e and (perhaps more important to them) the same amount of icing. Let S be a convex set contained in the (xx y)-plane. In mathematical terms, a c a k e C with base S is a solid containing...

a field experiment was conducted during 2009-2011 at the aligarh muslim university agricultural research farm, india, to evaluate the efficacious nature of some oil-seed cakes such as neem cake and castor cake, a botanical calotropis procera and phosphate solubilizing bacteria (psb) pseudomonas fluorescens singly and in various combinations, on the growth and productivity of trigonella plant. g...

despite the numerous health effects of the dietary fibers, the amount of the fiber in the diet is generally lower than the recommended value. therefore, increasing the fiber content of the foods particularly those of high consumption can compensate for the shortage of the fiber in the diet. however, it seems a difficult task since increasing the fiber content can have adverse effects on product...

We here study magnetic properties of NixFe1−x using Augmented space recursion technique coupled with tight-binding linearized muffin tin orbital method. Also the spectral properties of this alloy has been studied here. PACS numbers: 71.20.-b,71.23.-k,71.20.Be,71.15.-m