▁more ▁or ▁less ▁reverse ▁cool ing ▁and ▁ch illing . ▁ ▁Basic ▁operations : ▁cool ing , ▁he ating ▁ ▁The ▁co o led ▁game ▁ ▁(" ▁co o led ▁by ▁") ▁for ▁a ▁game ▁▁ ▁and ▁a ▁( sur real ) ▁number ▁ ▁is ▁defined ▁by ▁ ▁. ▁The ▁amount ▁ ▁by ▁which ▁ ▁is ▁co o led ▁is ▁known ▁as ▁the ▁temperature ; ▁the ▁minimum ▁ ▁for ▁which ▁ ▁is ▁inf init es im ally ▁close ▁to ▁ ▁is ▁known ▁as ▁the ▁temperature ▁ ▁of ▁; ▁ ▁is ▁said ▁to ▁free ze ▁to ▁; ▁ ▁is ▁the ▁mean ▁value ▁( or ▁simply ▁mean ) ▁of ▁. ▁ ▁He ating ▁is ▁the ▁inverse ▁of ▁cool ing ▁and ▁is ▁defined ▁as ▁the ▁" integr al " ▁ ▁Mult ip lication ▁and ▁over he ating ▁ ▁N orton ▁multiplication ▁is ▁an ▁extension ▁of ▁multiplication ▁to ▁a ▁game ▁ ▁and ▁a ▁positive ▁game ▁ ▁( the ▁" unit ") ▁defined ▁by ▁▁ ▁The ▁in cent ives ▁ ▁of ▁a ▁game ▁ ▁are ▁defined ▁as ▁. ▁ ▁Over he ating ▁is ▁an ▁extension ▁of ▁he ating ▁used ▁in ▁Ber lek amp ' s ▁solution ▁of ▁Block b ust ing , ▁where ▁ ▁over he ated ▁from ▁ ▁to ▁ ▁is ▁defined ▁for ▁arbitrary ▁games ▁ ▁with ▁ ▁as ▁▁▁ ▁Win ning ▁W ays ▁also ▁defines ▁over he ating ▁of ▁a ▁game ▁ ▁by ▁a ▁positive ▁game ▁, ▁as ▁▁▁ ▁Note ▁that ▁in ▁this ▁definition ▁numbers ▁are ▁not ▁treated ▁differently ▁from ▁arbitrary ▁games . ▁ ▁Note ▁that