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."defender" "attacker" D d (1st strike) [[4 row column]] | [[squiggly line]] | ___ | [[squiggly line]] | ___ | | S | L | s | l | assume: xl fired in 1st strike [could be x(l+s)] or [xl+ys] ① no defenses (D = d = 0 = fraction of attack destroys) xl = defenders missiles destroyed L-xl = remaining missiles S + (L-xl) = retaliatory penetrating force = R ② defenses D & d Dxl = attackers missiles destroyed (1-D)xl = 1st strike missiles which penetrate L-(1-D)xl = defenders remaining land force S+L-(1-D)xl = defenders retaliatory force (note that it is larger by (Dxl) then above) d(S+L-(1-D)xl)=retaliatory force destroyed (1-d)(S+L-xl+xlD)=retaliatory penetrating force = (1-d)(R+xlD) → larger retaliatory force available → only a fraction of it survives