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Figure 2 | EURASIP Journal on Wireless Communications and Networking

Figure 2

From: Optimal resource allocation in wireless communication and networking

Figure 2

Atomic measure. The random variable Y lands with equal probability in Y=5/2 and uniformly in the interval [0,1]. The measure w Y (E):=2 E ydY is atomic because the set {1} has strictly positive probability and no set other than the empty set is strictly included in {1}. Theorem 2 does not apply. The range of w Y (E) is the nonconvex union of the intervals [0,1/2] and [5/2,3].

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