Rounding linear programs using techniques from discrepancy is a recent approach that has been very successful in certain settings. However this method also has some limitations when compared to approaches such as randomized and iterative rounding. We provide an extension of the discrepancy-based rounding algorithm due to Lovett-Meka that (i) combines the advantages of both randomized and iterat...

BACKGROUND Bedside interprofessional rounding is gaining ground as a means to improve collaboration and patient outcomes, yet little is known regarding patients' perceptions of the practice. METHODS This descriptive study used individual patient interviews to elicit views on interprofessional rounding from 35 patients at a large, urban hospital. RESULTS The findings identified three major c...

If rounded data are used in estimating moments and regression coffiecients, the estimates are typically more or less biased. The purpose of the paper is to study the bias inducing effect of rounding, which is also seen when population moments intstead of their estimates are considered. Under appropriate conditions this effect can be approximately specified by versions of Sheppard’s correction f...

Epidermal growth factor (EGF) induces rapid rounding of A-431 human epidermoid carcinoma cells in Ca(++)-free medium. Cell rounding is not induced by a variety of other polypeptide hormones, antiserum to cell membranes, local anesthetics, colchicine, cytochalasin B, or cyclic nucleotides. However, trypsin, like EGF, induces rounding of A- 431 cells in the absence of Ca(++). Both trypsin- and EG...

Solid models may be rounded through filleting or blending operations. In 3D, the faces created by rounding are portions of the canal surface bounding the region swept by a ball (of constant or varying radius) as the ball rolls on (i.e., moves while maintaining tangential contact with) the two solids. Procedural or algebraic definitions of how the radius of the ball varies as it rolls may prove ...

All of the isotopes of radon are radioactive, which means that its chemistry has not been studied as widely as its smaller and more stable cousin, xenon. In particular, the supramolecular chemistry of xenon has been the focus of much research, and it is known that individual xenon atoms can bind inside hollow cage-like molecules with relatively high affinities. Although radon is incorporated in...

Na+/H+ antiporter activation by incubation in bicarbonate buffered saline induces long flat anchored human lung fibroblasts in monolayer culture to retract their cytoplasmic processes and become eventually globular in form. Reduction of cell profile area and perimeter in antiporter mediated rounding (AMR) is quantitated by microspectrophotometry and the roundness form factor (PE) calculated fro...

We study the effect of realistically rounding nanorod antennae and gap antennae on their far field and near field properties. The simulations show that both scattering behaviour and polarisation charge distribution depend significantly on rounding. Rounding is also seen to have a major effect on coupling between nanostructures. The results suggest that it is important to incorporate the effect ...

We give a new randomized LP-rounding 1.725-approximation algorithm for the metric Fault-Tolerant Uncapacitated Facility Location problem. This improves on the previously best known 2.076-approximation algorithm of Swamy & Shmoys. To the best of our knowledge, our work provides the first application of a dependent-rounding technique in the domain of facility location. The analysis of our algorit...

One of the most conventional toppling instabilities is the block-flexural toppling failure that occurs in civil and mining engineering projects. In this kind of failure, some rock columns are broken due to tensile bending stresses, and the others are overturned due to their weights, and finally, all of the blocks topple together. A specific feature of spheroidal weathering is the rounding of th...