Computer tests of __Axis and Allies__ "Rising Factor" (that the success of a battle between two pure armies, can be determined by the relative magnitudes of the value (*a n^2*) (*a* is the roll needed for success, *n* is the number of combatants: 10000000 results of 10 infintry attacking 7 infintry (Rising factors are 100 vs. 98), computer generated; Borderline Tests, using the floor and ceiling of the Rising-factor-predicted number of defenders for a given number of attackers (note that the only failing cases are due to defenders "winning" in the case of a wash), computer generated.