▁the ▁" lower ▁bound " ▁ 0 ▁distingu ishes ▁this ▁from ▁the ▁previous ▁definition ▁by ▁Ber lek amp ▁ ▁Oper ations ▁for ▁Go : ▁ch illing ▁and ▁war ming ▁▁▁ ▁Ch illing ▁is ▁a ▁variant ▁of ▁cool ing ▁by ▁ ▁used ▁to ▁analy se ▁the ▁Go ▁end game ▁of ▁Go ▁and ▁is ▁defined ▁by ▁▁ ▁This ▁is ▁equivalent ▁to ▁cool ing ▁by ▁ ▁when ▁ ▁is ▁an ▁" even ▁elementary ▁Go ▁position ▁in ▁canonical ▁form ". ▁ ▁W arm ing ▁is ▁a ▁special ▁case ▁of ▁over he ating , ▁namely ▁, ▁normally ▁written ▁simply ▁as ▁▁ ▁which ▁in ver ts ▁ch illing ▁when ▁ ▁is ▁an ▁" even ▁elementary ▁Go ▁position ▁in ▁canonical ▁form ". ▁In ▁this ▁case ▁the ▁previous ▁definition ▁simpl ifies ▁to ▁the ▁form ▁ ▁References ▁▁ ▁Category : Com bin atorial ▁game ▁theory <0x0A> </s> ▁Justin ▁Gold berg ▁( born ▁April ▁ 1 2 , ▁ 1 9 6 6 ) ▁is ▁an ▁American ▁music ▁and ▁film ▁industry ▁executive ▁and ▁artist ▁manager . ▁Gold berg ▁has ▁held ▁senior ▁executive ▁positions ▁at ▁such ▁companies ▁as ▁Sony ▁Music , ▁Red ▁Light ▁Management , ▁and ▁Raz or ▁& ▁T ie ▁Entertainment . ▁He ▁has ▁worked ▁extens ively ▁in ▁music , ▁television ▁and ▁film ▁as ▁a ▁producer , ▁writer ▁and ▁music ▁super visor , ▁collabor ating ▁on ▁projects ▁including ▁Disney ' s ▁animated ▁features ▁Tang led , ▁P rep ▁& ▁Land ing : ▁N aught y ▁vs . ▁Nice , ▁the ▁Forest ▁Whit aker ▁narr ated ▁film ▁Before ▁the ▁Music ▁Dies , ▁Touch stone