The Hydration Omnipool is a novel type of AMM which concentrates all liquidity in a single trading pool, thus unlocking an array of efficiencies. This doc contains a mathematical specification of the mechanics which power the Omnipool. The Omnipool uses H2O as a "hub" token through which all trades are routed, avoiding the segmentation of liquidity inherent to AMMs which require LPs to provide liquidity for a pair of tokens. Both transaction fees and partial impermanent loss mitigation are paid out in H2O.