vault backup: 2023-03-24 12:29:32

TIiK/Wykład/2..md

@@ -43,7 +43,7 @@ $$H(x)=-\sum\limits_{i=1}^{3}P(x_{i})ld\ P(x_{i})= P(x_{1})=P(x_1y_1)+P(x_1y_{2)
 $$P(y_{1})=P(x1y1)+p(x2y1)+p(x3y1)=0.6 max ld 1$$
 
 Średnia entropia dwóch źródeł  - max ld 6
-H(x,y)= $-\sum_{i}\sum_{j}P(xiyj)ldP(xiyj)$
+H(x,y)= $-\sum_{i}\sum_{j}P(x_iy_j)ldP(x_iy_j)$
 H(x/y) x pod warunkiem y , a posteriori=$-\sum_{i}\sum_{j}P(xiyj)ldP(xi/yj)$
 
 H(x/y)=-01ld0.1-0.25ld0.25-0.2ld0.2-0ld0-0.3ld0.3-0.15ld0.15 = max ld 6
@@ -63,4 +63,6 @@ hahahahahahahahahahahahahahahahahahahahahahahahhahahahhahahashdambgbvakabs
 
 "
 :I just read a book about Stockholm syndrome. It was pretty bad at first, but by the end I liked it."
-\end{gathered}$$
+\end{gathered}$$
+
+prawdopodobieństwo warunkowe: $P(X/Y)=\frac{P(X,Y)}{P(Y)}$

TIiK/Wykład/3. Łańcuchy markowa.md

@@ -0,0 +1,18 @@
+0->0 (p(0/0)=1/8)
+0->1 (p(1/0)=/8)
+1->1(p(1/1)=1/4)
+1->0(p(0/1)=3/4)
+
+Źródło nieergodyczne - uśrednianie po czasie
+o->0 = 0.999
+0-1 = 0.001
+1-1 = 1
+
+$$
+\begin{bmatrix}
+0.8 & 0.2 & 0 & 0 \\0 & 0 & 0.5 & 0.5  \\ 0.5 & 0.5 & 0 & 0 \\ 0  & 0 & 0.2 & 0.8  \\ 
+\end{bmatrix}
+$$
+
+
+$Hz(x)$