A Quick Guide to Combat Damage

[Satan]

Introduction

Okay recently, I had to work on a math project. The instruction were to find an equation in real life, and develop a formula or theory on how this particular thing works. I choose Evony battle meachanics.
I started to input numbers into different various formulas and started testing them. Here is what I found, and I am pretty shocked at the end results.

To this day, we have been wondering about certain damage points, etc etc. Here I will explain all. So just sit back, and read.

Before I get into examples, I will give you the stats for a the units I will be using. So, Unit A has a defense of 50, and a life of 100. So you could say it's total life is 150. For these purposes, unit A will not be attacking back.
Unit B has an attack of 10.

Ex. 1- Okay Unit A is stationary, or too far away from the ranged unit B. So Unit B attacks Unit A. Unit B deals 10 points of damage to Unit A's defense. Since unit B cannot break Unit A's defense, no matter how many rounds there are(since defense regenerates every round), it will become a tie, or unit A wins.
Idea here- Defense regenerates every round, and is different from life, which will stay the same.

Ex. 2- unit A is being attacked by 10 unit B's. Now remember that attacking units attack as a group. So together unit B deals 100 damage to unit A. Crushing unit A's defense, and dealing 50 damage to unit A's life.
Next round- The 10 Unit B's attack again this round. They deal 100 damage again. Crushing the defense, and hitting unit A's life again for 50 points. This kills unit A, and the 10 unit B's win.

Idea here- This shows what happens when the attack is greater then the defense. Also shows that high defense is CRITICAL, as that regenerates every round, unlike Life points.

Ex. 3- There are 10 unit A's that are being attacked by 100 unit B's. The combined attack for unit B is 1,000. Unit B attacks unit A. Since killing one unit A would have to have an attack of 150 or up, the unit B's kills 6 unit A's, and deals 100 damage to another(leaving it with 50 health). In the next round, the unit B's finish off the remaining unit A's.

Idea here- Shows how groups attack and defend. Very orderly, and easy to predict.

Ex. 4- This is the last example, and this is where it becomes a bit complicated. Now let's say unit A and unit B have the same speed and range. Since they meet at the same point, they will clash at the same time. Let's say for these purposes, that unit A has an attack of 50. Again we will use 10 unit A's and 100 unit B's. As in before the unit B's attack with the same amount of damage. Killing 6 unit A's and damaging another. But at the same time, those 10 unit A's attack the 100 unit B's. So if the unit B's defense is 10, as well as it's life, the 10 unit A's kill off 25 unit B's evenly.
Next round- What remains are; 3 unharmed unit A's, and one injured one, and 75 unit B's. Combat again happens like before. The 4 unit A's deal 200 damage to the group of unit B's, killing off 10 unit B's, and the 75 unit B's kill the remaining unit A's.

Idea here- This shows what happens when both sides interact.


Some notes- Since every battle isn't as nearly as straighforward as this, you need to add a lot of factors. One variable has been what does heroes attack have to do with this all, and the answer is every 4 levels of hero attack, equals 1% increase of your troops attack(this is an approximation).


Well I hope this helps, and please tell me if I am blatantly wrong, even thought I'm sure I am right. Any testing of this theory would be greatly appreciated.