Military formulas
From eRepublik Official Wiki
Languages:  

Soldier Actions 

Soldier · Training · Fight · Guerrilla fights · Battlefield · Vehicle depot · Military rank · Military formulas 
On the battlefield of the New World the following rules apply to citizens' fights.
Influence formula
This formula calculates how much influence per hit a citizen can inflict on the domination bar from the battlefield.
I = 10 × (1 + S/400) × (1 + R/5) × (1 + FP/100)
 I: Influence on the hit
 FP: Citizen's firepower
 R: Value of the Rank
 S: Strength
Higher are citizen's skills (rank and strength), higher will be its influence to the domination bar.
 Note
 This formula doesn't calculate accessory bonuses like natural enemy, determination and boosters.
Examples
 A newly born citizen has 0 strenght points and Recruit rank which value is 1; a newly born citizen contributes to battles with 12 damage points per hit if unarmed (firepower 0), 24 damage points per hit with Q5 weapon (firepower 100), 36 damage points per hit with Q7 weapon.
 Citizen A has 100 strength points and Sergeant rank which value is 10; citizen A contributes to battles with 37.50 damage points per hit if unarmed (firepower 0), 75.00 damage points per hit with Q5 weapon (firepower 100), 112,50 damage points per hit with Q7 weapon (firepower 200).
 Citizen B has 11764 strength points and World Class Force** rank which value is 56; citizen B contributes to battles with 3710.02 damage points per hit if unarmed (firepower 0), 7420.07 damage points per hit with Q5 weapon (firepower 100), 11,130.06 damage points per hit with Q7 weapon (firepower 200).
 Citizen C has 60373 strength points and Titan rank which value is 66; citizen C contributes to battles with 21,574.42 damage points per hit if unarmed (firepower 0), 43,148.83 damage points per hit with Q5 weapon, 64,723.25 damage points per hit with Q7 weapon.
Damage formula
This formula calculates how many hits a citizen needs to defeat its own opponent on the battlefield.
D = (60 + ((S1  S2)/10)) × (1 + (FP1  FP2)/400) / 2
 D: Damage
 FP1: Citizen's firepower
 FP2: Enemy's firepower
 S1: Your strength
 S2: Enemy's strength
Firepower
 Unarmed  0
 Weapon Q1  20
 Weapon Q2  40
 Weapon Q3  60
 Weapon Q4  80
 Weapon Q5  100
 Weapon Q6  120
 Weapon Q7  200