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Vector cross-products are only de ned for vectors with three components (i.e., 3-vectors). For any two 3-vectors x and y, their vector cross-products are de ned as Q x2 y3 x3 y 2 def x y R x3 y1 x1 y3 S ; x1 y2 x2 y1 which has the properties x y y x; x x 0; jx yj sin y jxjjyj; where y is the angle between the vectors x and y.

The eight message types each have a GIOP message header, shown in Figure 5.7. The purpose of the header is to declare that this message is a GIO P message in field m a g i c and to identifywhich version of the GIO P protocol it uses. It declares the type of which it is an instance in field m e s s a g e _ t y p e . Moreover it indicates how long the message is. The header also declares whether little or big endian representations are used to encode numbers. A GIOP request message adds a request header and a request body to the GIOP message header. The purpose of the request message is to transmit all information that is needed by the receiving O RB to identify the server object and request the execution of the desired operation from the server object. The request header includes a request identifier that is used

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THEN write "Classifying as virginica by SL conf $<SetCf> pconf <pconf>\n", modify 1 virginicaConf = ($<SetCf> + <pconf> / 4); :rule r13 rule block 1 (goal classify as virginica by SW) IF (in Iris SepalW is virginica AND virginicaConf = <SetCf>) THEN write "Classifying as virginica by SW conf $<SetCf> pconf <pconf>\n", modify 1 virginicaConf = ($<SetCf> + <pconf> / 4); :rule r14 rule block 1 (goal Activate next block) IF (True) THEN fire block 1 off, fire block 2 on; : ++++++++++++++++++++++++++++++++++++++++++++++++++++++ :rule r15 rule block 2 (goal Select max confidence = average confidence, Combs OR) IF (in Iris setosaConf = <SetCF> AND versicolorConf = <VerCF> AND virginicaConf = <VirCF>) THEN in 1 species.setosa = <SetCF> species.versicolor = <VerCF> species.virginica = <VirCF>; :rule r16 rule block 2 (goal activate next block) IF (True) THEN fire block 2 off, fire block 3 on, TMSon; : ++++++++++++++++++++++++++++++++++++++++++++++++++++++ :rule r17 rule block 3 (goal Set final classification to setosa) IF (in Iris species is setosa) THEN in 1 final is "Iris-setosa"; :rule r18

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In the earlier section Using omerta to resolve the Prisoner s Dilemma , we explain how the Mafia uses death threats to get its members to never speak to the police The death threats change the pay-offs so much that the dominant strategy in the Prisoner s Dilemma switches from confessing to remaining silent OPEC would benefit by threatening its members when they violate their quotas Because the member countries are sovereign nations, death threats aren t an option Instead, Saudi Arabia sometimes tries to provide an economic threat against quota violators This economic threat comes in the form of super low oil prices Saudi Arabia is in the best position to make such a threat for two reasons: Saudi Arabia is the world s largest oil producer It produces around 25 per cent of the world s oil Saudi Arabia is the world s lowest cost oil producer.

It can produce profitably even if the price of oil falls down to 2 per barrel (At the time of writing other countries need a price of at least 6 per barrel to break even) These two facts mean that if other countries cheat on their quotas, Saudi Arabia can potentially increase its production so much that the price of oil falls very low For example, suppose the price fell to 3 per barrel Saudi Arabia is the only OPEC member making a profit at that price; everyone else loses money As a result, Saudi Arabia appears to be in a position to threaten other OPEC members with bankruptcy if they violate their quotas Unfortunately, the threat doesn t work that well in the real world The problem is that Saudi Arabia has limited pumping capacity.

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