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She is especially angry because she feels that all the doctors and nurses think her problems are all in her head She has had over 20 hospitalizations for these symptoms An excerpt from a group session follows: Psychologist: Welcome to the group We meet every day at 11:00 AM for one hour The purpose of the group is to talk about feelings and issues in the moment Anger, sadness, anxiety, interpersonal conflicts are, for example, typical topics that we discuss We try to avoid talking about things in the past or future problems and concerns because we don t feel that we can be very helpful on these topics within our limited amount of time and given the number of people that participate in the group.

Let s quickly go around the room and introduce ourselves and then let us go around a second time and state what topic or agenda you would like to talk about in our group today My name is Dr Gerard and I am a psychologist on the unit (Group members introduce themselves and then each states what his or her topic or agenda is for the day) Anna: I really have nothing to say today Psychologist: Anna, you seem angry when you said that Are you feeling angry today Anna: Yes, I guess I am I want to just go home I m sick of being locked up here My doctor tells me that he thinks I should stay for at least another 4 days,.

Then you iterate through these messages, adding them to a list if they are marked as unread. You print the sender s address and the subject line of the e-mail, with a number next to it, pushing that number and the message:

the symbol from the document Library into the newly created symbol. For example, when you create drag-and-drop elements for your Flash designs, you nest an invisible button in the movie clip and then assign the startDrag action to the invisible button. Remember you can also import objects such as bitmap images when you re modifying a symbol. Nesting a bitmap within another symbol keeps everything compact and tidy. And if for any reason you need to change the bitmap currently nested in the movie clip, you can use the Swap Bitmap command, which will be discussed before the end of this chapter. To nest one or more symbols within another movie clip: 1. Create a new movie clip as discussed previously. 2. Choose Window Library. 3. Select the Library item you want to nest in the symbol and position it on Stage. 4. If the nested symbol is a movie clip and you re going to use ActionScript to modify it, open the Property inspector and enter a name in the <Instance Name> field. 5. At this point you can drag other symbols from the document Library and nest them within the newly created movie clip. After you add the other graphics needed for the symbol, click the Back button to exit symbol-editing mode. Alternately, you can double-click anywhere on Stage. Figure 6-2 shows an example of symbol nesting.

15.3.1 Achievability of the Capacity Region for the Multiple-Access Channel We now prove the achievability of the rate region in Theorem 15.3.1; the proof of the converse will be left until the next section. The proof of achievability is very similar to the proof for the single-user channel. We therefore only emphasize the points at which the proof differs from the single-user case. We begin by proving the achievability of rate pairs that satisfy (15.58) for some xed product distribution p(x1 )p(x2 ). In Section 15.3.3 we extend this to prove that all points in the convex hull of (15.58) are achievable. Proof: (Achievability in Theorem 15.3.1). Fix p(x1 , x2 ) = p1 (x1 )p2 (x2 ). Codebook generation: Generate 2nR1 independent codewords X1 (i), i {1, 2, . . . , 2nR1 }, of length n, generating each element i.i.d. n p1 (x1i ). Similarly, generate 2nR2 independent codewords X2 (j ), i=1 j {1, 2, . . . , 2nR2 }, generating each element i.i.d. n p2 (x2i ). These i=1 codewords form the codebook, which is revealed to the senders and the receiver. Encoding: To send index i, sender 1 sends the codeword X1 (i). Similarly, to send j , sender 2 sends X2 (j ). Decoding: Let A(n) denote the set of typical (x1 , x2 , y) sequences. The receiver Y n chooses the pair (i, j ) such that (x1 (i), x2 (j ), y) A(n) (15.60)