By Thomas E Doll; Don Greer
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Extra resources for US Navy aircraft camouflage & markings 1940-1945
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C? 48 TRACKING THE AUTOMATIC ANT Case II. The third point x or z is not between a and p. Then, as before, either bx or bz will intersect R in a point closer to p than q. (See Fig. ) Voila! 3. Applying Pasch's axiom to the other case. BUT There are 2n points in the plane in general position; n of them are red and n are blue. Show that they span n disjoint segments having one end red and the other blue. Or course, by now you have gotten the message and realize that you should choose segments in a way that minimizes the sum of their lengths.
Thus, for example, if you want to know the maximum rather than the sum of the salaries, the best you can achieve is "minority privacy:' which means that there is a protocol such that no set of fewer than half of the participants can learn anything about the complementary set by pooling information. Indeed, there is what might be called the fundamental theorem of protocols, which asserts roughly that any function can be computed minority-privately, but only a few, like the sum, can be computed n-privately.
Chapter 7 Pop Math and Protocols MORE ON PROTOCOLS: PLAYING GAMES OVER THE TELEPHONE For almost all of what follows I am indebted to Imre Barany. 1. Coin-Tossing A mathematician in Moscow and another in New York are talking long distance about a joint paper they have written which they have been invited to present at a meeting in Paris. Because both of them would like to go but only one can, they decide that the only fair thing is to leave it to chance. "All right;' says the Russian, "I just tossed a coin.