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HISTORICAL NOTES The concept of entropy was introduced in thermodynamics, where it was used to provide a statement of the second law of thermodynamics. Later, statistical mechanics provided a connection between thermodynamic entropy and the logarithm of the number of microstates in a macrostate of the system. This work was the crowning achievement of Boltzmann, who had the equation S = k ln W inscribed as the epitaph on his gravestone [361]. In the 1930s, Hartley introduced a logarithmic measure of information for communication. His measure was essentially the logarithm of the alphabet size. Shannon [472] was the rst to de ne entropy and mutual information as de ned in this chapter. Relative entropy was rst de ned by Kullback and Leibler [339]. It is known under a variety of names, including the Kullback Leibler distance, cross entropy, information divergence, and information for discrimination, and has been studied in detail by Csisz r [138] and Amari [22]. a

that enables you to use it within the MT templates. Therefore, let s use the extended entry and keywords fields for them. If we do that, our mapping looks like this: title -> title excerpt -> description url -> mt_text_more blog_name -> mt_keywords Following is our existing code with a TrackBack listener added in. Happily, TrackBack acts just like the submission of a CGI form, so this is very simple:

Determine Your Amount of System Memory (RAM)

tiple hops can drastically decrease the probability that a unicast/broadcast message reaches one or all nodes. Alternatively, one can de ne the network as being q-connected if the probability of a packet to be routed successfully between any two of the nodes, or broadcasting from any node to reach all of the nodes in the network, is !q [24]. We recommend to read [50,51] for a deeper treatment of topology in ad hoc and sensor networks.

where T = Tb is the in time duration of each bit. The binary signalling rate is measured in bits per second (bps).

Tragically, about a million Americans are infected with the HIV virus, and close to 500,000 deaths have occurred from Acquired Immune Deficiency Syndrome (AIDS) in the United States since 1981 (Brookmeyer, 1996; Centers for Disease Control, 2001; Chesney, 1993; National Institute of Allergy and Infectious Diseases, 1999; S. Taylor, 2003). It is estimated that 58 million people are infected worldwide (Institute for the Future, 2000) and AIDS is now the second leading cause of death among young Americans ages 25 through 44 (Institute of Medicine, 2001). Changing problematic high-risk behavior is the best way to prevent AIDS from spreading since no vaccine is currently available. Engaging in safer-sex as well as avoidance of shared

Figure 5.1 Normal distribution, distributions with skewness, and distributions with kurtosis. Reprinted with permission of Tabachnick and Fidell (2001b), Using multivariate statistics (Boston: Allyn and Bacon).

or alternatively, if the Mahalanobis-like distances dik s from expression (12.46) are determined, another set of membership functions could be calculated: uik Pc 1 dik =djk 2 ; 8i; Mi > Mmin ; i 1; c 12:48

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After evaluating and adjusting current assets and current liability accounts, the net income figure has to be further adjusted for noncash items that appear on the income statement that do not involve a cash inflow or cash outflow As discussed earlier, the major noncash item typically used in most hospitality operations is depreciation This transaction affects only depreciation expense and accumulated depreciation (a contra asset account) Since depreciation expense is deducted on the accrual income statement but no cash is involved to arrive at net income, depreciation must to be added back to net income to adjust cash from operations In other words, depreciation expense can be considered a source of cash and added back to income (or loss).