Math equations for formulas
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Score delta:
[math]
Score\ delta_{player} =
round
\left (
K \cdot
\left (
\begin{Bmatrix}
{victory:1} \\
{draw:0.5} \\
{defeat:0}
\end{Bmatrix}
-
\frac{1}
{1 +
10^{
\left (
{Score_{opponent}} - {Score_{player}}
\right )
/ 400
}
}
\right )
\cdot
\begin{Bmatrix}
{draw:0.5} \\
{else:1}
\end{Bmatrix}
\right )
[/math]
Score delta example:
[math]
Score\ delta_{player} =
round
\left (
40 \cdot
\left (
1
-
\frac{1}
{1 +
10^{
\left (
{1200} - {1000}
\right )
/ 400
}
}
\right )
\cdot
1
\right )
=
round
\left (
40 \cdot
\left (
1
-
\frac{1}
{1 +
10^{
0.5
}
}
\right )
\right )
=
30
[/math]
Expected score difference
[math]
Expected\ score\ difference
=
400 \cdot
log_{10}
\left (
\frac{Victories + \frac{Draws}{4}}
{Defeats + \frac{Draws}{4}}
\right )
[/math]