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34. i
P [T A
= m|X0 = i] = P [X1 = j|X0 = i]
j∈V
·P [T A
= m − 1|X0 = j]
= pij P [T A
= m − 1|X0 = j]
j∈V
TA = m m-1 A
35. A
X0 = i TA hi
∞
A
hi = mP [T A
= m|X0 = i]
m=1
∞
= m pij P [T A
= m − 1|X0 = j]
m=1 j∈V
∞
= (m − 1)pij P [T A
= m − 1|X0 = j]
j∈V m=1
∞
+ pij P [T A
= m − 1|X0 = j]
j∈V m=1
36. ∞
(m − 1)pij P [T A
= m − 1|X0 = j]
j∈V m=1
∞
= npij P [T A
= n|X0 = j]
j∈V n=1
= A
pij hj
j∈V
37. ∞
P [T A
= m − 1|X0 = j] = 1
m=1
∞
pij P [T A
= m − 1|X0 = j] = pij = 1
j∈V m=1 j∈V
A
hi = A
pij hj +1 A
hi = 0, f or i ∈ A
j∈V
38. w(i, k) w(k, j)
pij =
di dk
k∈V2
hi (t + 1) = pij hj (t) + 1, hi (0) = 0
j=s
57. p(x, y)
P M I(x, y) = log
p(x)p(y)
P M I(x, y)
P M I(J)(x, y) =
− log p(x, y)
P M I(x, y)
P M I(S)(x, y) =
− log p(x)
P M I(x, y)
P M I(G)(x, y) =
− log(p(y))