Skillet (band) for highest-charting Christian album on the "Billboard" 200 with Underoath's 2006 release "Define the Great Line" and Casting Crowns' 2007 release "The Altar and the Door", as all three albums debuted at No. 2. Skillet was nominated for six Dove Awards for the 41st Annual GMA Dove Awards. "Awake" was certified gold July 2, 2010. Also in 2010, Ardent released "The Early Years", a collection of their songs from 1996 to 2001. On November 12, Skillet released an iTunes sessions EP consisting of songs from "Comatose" and "Awake". "Monster" was certified gold a day later. On February 14, 2011, Skillet
Envy-free item assignment the agents' utilities are not additive, the MNW solution is not necessarily EF1; but if the agents' utilities are at least submodular, the MNW solution satisfies a weaker property called "Marginal-Envy-Freeness except-1-item" (MEF1). There is an alternative criterion called Envy-freeness-except-cheapest (EFx): For each two agents A and B, if we remove from the bundle of B "any" item, then A does not envy B. EFx is strictly stronger than EF1. As of this writing, it is not known whether EFx allocations always exist. Given an allocation "X", define the envy ratio of "i" in "j" as: so the ratio is