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The two courses at marriott st. pierre pose contrasting challenges, making it the ideal host of the welsh masters in august 2007. see how the pros tackle the memorable old course which builds to a climax and finishes with two truly classic holes: the 17th green positioned almost on an island and the elevated green on the 18th provide an exhilarating, challenging end to any round. the shorter, bill cox designed, mathern course provides its own unique obstacles. set in the heart of the tranquil countryside it's ideal for a refreshing morning start or a quick early evening round. to complement these two stunning courses the hotel offers a full range of modern facilities including a 13 bay floodlit driving range with a video analysis room, putting and chipping greens and a short game practice area.
Updating; conditional prob.: many papers have discussed the issue that conditioning on an observed event can only be done under a ceteris paribus assumption, entailing that the observation does not carry other information, and does not affect anything conditional upon the event. this paper provides mathematical conditions and formulas stating when exactly bayes formula for conditioning holds and when not, referring to some other recent papers, and many statistical papers, on similar issues. the mathematics by itself is not particularly hard, but is very illuminating by bringing in the right concepts. the threeprisoners problem is a good illustration of when bayes formula need not hold. no-one will, after reading this paper, ever again fall victim to forgetting the ceteris paribus condition of bayes' formula. the precise mathematical statements work better than vague philosophical discussions. nice concept: the nave [state] space contains only the states that determine the consequences resulting from acts. there are also observations, which do not directly affect consequences of acts, but only indirectly through their influence information about the nave state space. to condition upon information often more than just the nave state space is required. we also need to know the probabilities of the "sophisticated" state space, which describes both the nave states and part of ; the observations; i.e., what shafer called the protocol. in the three-prisoners problem, you also need to know what the jailor does when he has a choice which of the other two prisoners to indicate, before you can calculate.
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