Hero (Skillet song) Hero (Skillet song) "Hero" is the first single of the 2009 album "Awake" by the American Christian rock band Skillet and is the first track on the album. The song talks about mankind's need for a hero with the hero being Jesus Christ. It is the fourth single by Skillet to be released to physical media. The single sold 12,000 copies in its first week. It was used in a promo on NBC for the 2009 NFL Kickoff game between the Pittsburgh Steelers and the Tennessee Titans, as well as the Week 17 Sunday Night Football game between the Cincinnati
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