deletions | additions       diff --git a/subsubsection_Mutual_Information_There_are__.tex b/subsubsection_Mutual_Information_There_are__.tex  index 7262294..c9e997e 100644  --- a/subsubsection_Mutual_Information_There_are__.tex  +++ b/subsubsection_Mutual_Information_There_are__.tex 
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The most intuitive definition is the following:  Let $X : P_1 \rightarrow E_1$ and $Y: P_2 \rightarrow E_2$ be two random variables, where $E_1$ and $E_2$ are two discrete probability spaces.   We define the Mutual information of$ X$ and $Y$, noted $I(X,Y)$ as:$  \[I(X,Y) \[ I(X,Y)  = \sum{x \in E_1, y \in E_2}P_{(X,Y)}(x,y)*log(\frac{log(P_{(X,Y)}(x,y))}{P_{X}(x)P_{Y}(y)})\] E_2}P_{(X,Y)}(x,y)*log(\frac{log(P_{(X,Y)}(x,y))}{P_{X}(x)*P_{Y}(y)}) \]