# Talk:Unity

Updated at 9 pm where?

## Formula

So I've been looking at this formula:

and I think I see some things that can be simplified.

If **ΣL _{t}** is the sum of all guild members' levels today and

**n**is the number of members today, then (

_{t}**ΣL**)/(

_{t}**n**) is the (mean) average level today (we can call it

_{t}**A**). Likewise, (

_{t}**ΣL**)/(

_{y}**n**) is the average level yesterday (

_{y}**A**).

_{y}So, from that we can take:

and express it instead as **M = 3n _{t} + n_{t}(A_{t} - A_{y})**, or better yet,

**M = 3n**

_{t}+ n_{t}(∆A)Then we can refactor that and get **M = n _{t}(3 + ∆A)**

Plugging this value for M into the first equation, we get **(n _{t}(3 + ∆A))(ΣL_{t}/n_{t})**

Then we can cancel out the **n _{t}** from the coefficient in the Modifier and the denominator in the fraction, and get

**ΣL**as the full formula.

_{t}(3 + ∆A)This can now even be expressed verbally - "The unity value is equal to the sum of all guild members' levels, times 3 plus the net change in average level from yesterday to today."

If only I knew how to make those math-y images I would put this into the main page, but since I don't, I'm just putting it here for someone who does.