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 1 Why this is not a sigma algebra 1 Show the iff statement of lower semicontinuous 1 Are there names for these types of convergence of measures? 1 How should I understand probability distribution defined as $P^X(A)=\frac{1}{3}\delta_0(A)+\frac{2}{3}P_2(A)$? 1 Find Formulas of Absolute and “Ray” Functions

### Reputation (193)

 +10 Why this is not a sigma algebra +10 Show the iff statement of lower semicontinuous +10 Are there names for these types of convergence of measures? +15 How should I understand probability distribution defined as $P^X(A)=\frac{1}{3}\delta_0(A)+\frac{2}{3}P_2(A)$?

### Questions (3)

 1 Curves that intersect all exponential functions precisely once? 1 Does this random variable built from log normals have a recognizable distribution? 0 Is this a common (nonlinear?) optimal control problem?

### Tags (11)

 3 measure-theory × 3 1 stochastic-processes 2 probability-theory × 2 1 real-analysis 1 algebra-precalculus × 2 0 probability-distributions × 2 1 reference-request 0 control-theory 1 functions 0 probability

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