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Male animals bene t from EPCs by fathering a greater number of offspring than might otherwise be possible. They may also bene t because they spread their offspring throughout their immediate environment rather than clustering them in one place. This might work as an insurance against the loss of the brood that they are rearing. Males pay a cost if they are the victim of EPCs because they will be forced (unknowingly) to rear the young of a competitor male. Females might bene t from EPCs because they act as a form of fertility insurance reducing the risk that all of their eggs will be wasted if their mate is infertile. Mating with a number of males may also increase the chance that a female s eggs will be genetically compatible with the sperm of at least one of her partners. EPCs may also allow females to secure the best available genetic material for their offspring. This could be particularly important if the female has been forced to settle for a poorer quality mate. EPCs may secure better resources or social protection/standing for the female. They may also reduce male paternity assurance and thereby reduce the risk of infanticide by males.

The circuit presented here is just one of many ways of adding Bluetooth to the Roomba. The above devices could be used instead. If you have easy access to one of them, try playing around with it. If you have more than one, try adding Bluetooth to something else in addition to Roomba, like your coffee maker or stereo. These little wireless communication gadgets are fun to hack on to a variety of things. The BlueSMiRF module is sensitive to static electricity. Make sure you re properly grounded before handling it. See Appendix A for techniques for staying grounded.

The Decimal data type was introduced in Excel 2000, and cannot be used in previous versions. This is a rather unusual data type because you cannot actually declare it. In fact, it is a subtype of a variant. You need to use VBA s CDec function to convert a variant to the decimal data type.

X is a direct descendant of Y if there is a path of length 1 from Y to X X will be called a root node (denoted as R) if it has no ancestors Every controller has at least one R node Whenever the controller has to be executed, the control ows starting from its R node(s) X is an actuator node (A) if its outputs establish values for the actuators X is an actuator modulating node (AM) if its outputs modify (multiplying by a value between 0 and 2) the outputs of its descendant nodes of type A Assuming that an AM modulates the values of n actuators, its number of outputs is n number of direct descendants, as the modulation propagated to each descendant is different An AM does not necessarily modulate all the actuators over which the set of nodes acts, just any subset of them.

(a) Find a binary Huffman code for X. (b) Find the expected code length for this encoding. (c) Find a ternary Huffman code for X. 5.5 More Huffman codes. Find the binary Huffman code for the 2 2 source with probabilities ( 1 , 1 , 1 , 15 , 15 ). Argue that this code is 3 5 5 also optimal for the source with probabilities ( 1 , 1 , 1 , 1 , 1 ). 5 5 5 5 5 Bad codes. Which of these codes cannot be Huffman codes for any probability assignment (a) {0, 10, 11} (b) {00, 01, 10, 110} (c) {01, 10} Huffman 20 questions. Consider a set of n objects. Let Xi = 1 or 0 accordingly as the ith object is good or defective. Let X1 , X2 , . . . , Xn be independent with Pr{Xi = 1} = pi ; and p1 > p2 > > pn > 1 . We are asked to determine the set of all defec2 tive objects. Any yes no question you can think of is admissible.

Hence, if R1 < I (X; Y1 |U ), the fourth term in the probability of error goes to 0. Thus, we can bound the probability of error Pe(n) (1) + + 2nR2 2 n(I (U ;Y1 ) 3 ) + 2nR1 2 n(I (X;Y1 |U ) 4 4

If between R and A there is more than one AM that modulates one output of A, the resulting modulating value will be the product of the individual modulations in the path When more than one node A provides values for the same actuator, the actuator receives the sum of these values X is a sensor modulating node (SM) if its outputs modify (multiplying by a value between 0 and 2) the inputs of its descendant nodes Assuming that an SM modulates the values of n sensors, its number of outputs is n number of direct descendants, as the modulation propagated to each descendant is different An SM does not necessarily modulate all the sensors over which the nodes act, just any subset of them.

125 13.5 3.3