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Properties of C 1. 0 C min{log |X|, log |Y|}. 2. I (X; Y ) is a continuous concave function of p(x). Joint typicality. The set A(n) of jointly typical sequences {(x n , y n )} with respect to the distribution p(x, y) is given by A(n) = (x n , y n ) X n Y n : 1 log p(x n ) H (X) < , n (7.151) (7.152)

The overlay network operator manually con gures a mesh by specifying virtual links between overlay nodes and imposing preferences such as bandwidth limits on the virtual links From Joe s point of view, he is statically con gured with a set of neighbors No matter which application layer multicast group Joe may join, these precon gured neighbors are the only candidates for Joe s parent Compared to the point-of-contact approach, manual mesh simpli es but also limits Joe s choices This is desirable when network operators need to in uence the overlay topology, especially when the tree building algorithm isn t sophisticated enough to gure out the underlying topology For example, Joe may be connected via a satellite network, with a fat downlink but thin uplink.

To prevent Joe from relaying content to peer using the thin uplink, the network operator may con gure Joe to talk only to the node at the center of the star In another example, Joe is among many other peers in the same data center Instead of letting everyone there participate in tree building with nodes outside the data center, the network operator may con gure most nodes to talk only to peers in the same data center, while designating a couple nodes for connecting to the outside The downside of manual mesh is that, as the overlay network scales up, the required human intervention can become too complex and beyond comprehension Therefore, manual mesh should only complement automated tree building (and automated mesh building, which is the next topic).

Recovery from Disk Failure. Restore the database from the backup. Redo T1, T2, and T4. If T3 or T5 have logged before-commit, then redo T3 or T5 and log that have been committed; otherwise, log that they have been aborted.

Neighbor Selection In the absence of manual con guration, Joe automatically builds a narrowed list of neighbors (out of all the reachable overlay nodes) From the global perspective, such neighboring relationships are the virtual links and they form an overlay mesh In contract to manual mesh, we call this automesh Similar to manual-mesh, Joe evaluates and selects parents only among this set of neighbors In an overlay network with tens of thousands of nodes, maintaining states on only a narrowed set of peers can signi cantly reduce the resource usage in terms of memory, processor, and network bandwidth (for probing the peers) Although this may limit the choices for parent selection, in a large overlay network, scalability is much more important The guideline for narrowing the list of peers is twofold.

One is to minimize network distance to a peer, in terms of hop counts, roundtrip time, and throughput to the peer The other is to maximize overlay resources on the peer, in terms of disk space, provisioned bandwidth, and the number of existing peers supported on this peer Joe uses the point of contact or expanding-ring search to obtain a list of possible peers It then contacts every peer on the list to evaluate and select quali ed neighbors A slight problem, though, is that the selected set of neighbors is likely to be used for a long time and yet some metrics such as roundtrip times are transient and thus not representative over time One technique to mitigate this problem is.

risk and survival (p. 1 In addition, an important out1). growth of these areas of scienti c inquiry involves developing and evaluating the ef cacy of psychosocial interventions geared to improve a cancer patient s quality of life (Baum & Andersen, 2001; A. Nezu, Nezu, Freidman, Faddis, & Houts, 1998). This chapter provides an overview of this eld, beginning with a brief description of cancer itself.