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Although cause and effect can be de ned counterfactually, a complete view of causation requires attention to underlying generative mechanisms as well In addition, at least one more piece is needed for a satisfactory conception of causality INUS Conditions: The Contingent Nature of Causal Relations Cook and Campbell (1979, chap 1), in what remains one of the most valuable reviews of concepts of causation for social scientists, contended that causation is probabilistic Mackie (1965, 1974) provided an important conceptualization of the probabilistic nature of causal relations Mackie claimed that what we call causes are actually INUS conditions That is, they are an insuf cient but necessary part of a condition that is itself unnecessary but suf cient to cause the result A classic example is a cigarette that is identi ed as the cause of a house re.

for portioning and to hold the portioned pieces together for hot-setting, the shaped restructured log should be portioned and cooked while frozen If the portioned pieces are not held together suf ciently to enable the protein matrix at the bind junctures to be heated to the desired binding temperatures, restructured individual pieces of meat in the portion will fall apart due to shape distortions caused by the shrinkage of the meat proteins The bind strength at the juncture between meat pieces depends on the nature, amount, and functionality of the protein at the juncture prior to heating Purslow and his associates (Purslow et al 1987; Lewis and Purslow 1990; Savage et al 1990) demonstrated in a series of model studies that the binding of pieces in heated restructured meat was affected by the muscle ber alignment with respect to the adhesive junction and the size of the meat pieces.

The cigarette by itself is insuf cient in that other conditions had to occur, such as the presence of combustible material and the absence of a sprinkler system But the cigarette was a necessary component of the speci c causal package that actually caused the re Nevertheless, the causal package that included the dropped cigarette was unnecessary in the sense that in principle several other causal packages could have led to a re (involving, say, an electrical short circuit or a forest re) But the cigarette and its associated package of conditions were suf cient to cause the house re; nothing else was needed The counterfactualist approach, by emphasizing one cause as the manipulable focus of interest, may lead people to miss the other conditions that must be present for the cause to produce the effect The logic of INUS causes applied nicely to social programs and policies.

Stephen is an Excel developer based in the United Kingdom, and head of Business Modeling Solutions Ltd. His Web site contains some fascinating examples of Excel code, including a section titled They Said It Couldn t Be Done. The URL is:

For example, consider again the question of whether a freshman orientation program is effective in causing Bob, our college freshman, to drink less Perhaps for.

hypotheses. In this case we wish to minimize the overall probability of error given by the weighted sum of the individual probabilities of error. The resulting error exponent is the Chernoff information. The setup is as follows: X1 , X2 , . . . , Xn i.i.d. Q. We have two hypotheses: Q = P1 with prior probability 1 and Q = P2 with prior probability 2 . The overall probability of error is Pe(n) = 1 n + 2 n . Let 1 D = lim log min n Pe(n) . n n An X (11.230) (11.229)

A significant performance penalty can occur when the Web server software resides on a different physical machine from the database. You must do extensive testing before implementing this approach. One way around this slow-down is to copy (nightly or more often, if necessary) the data from the remotely located database to a mirror copy of the database located on your Web-server machine. How well this actually works depends on the location of the database, the size of the database, and the processing power of both machines.

Using (15.3) as a local linear model one can express (15.1) in terms of a Takagi-Sugeno fuzzy model [17]: c X wi t Ai t di 15:4 q t

There are eight (8) sites in the system. Sites 1 and 2 are the sites that T only reads from. Sites 3, 4, and 5 are the sites that T only writes to. Sites 6 and 7 are the sites that T reads and writes.