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8. 8 defines the state diagram of a ternary first-order Markov source. 8. A ternary first-order Markov source. Assign transition probabilities to the diagram to maximize the entropy of the source. 9. If you were allowed to remove two transition arrows fro;n the state diagram of a third-order binary Markov source, indicate how you would do so to create a state diagram with the following properties: (a) Two terminal clusters and one nonterminal cluster (one way) (b) One terminal cluster and one nonterminal cluster (many ways) 10.

This had mildly surprised Agent 00111, but in truth, he had not known quite what to expect. However, the next result gave him a shock. The value of H seemed familiar. It took him a little while to remember, but then he had it: The value of H was exactly the same as what the literature said was the entropy of English in bits per symbol! At first, Agent 00111 assumed this was a coincidence. Without confiding in his staff-he had learned something in his career-he repeated the exercise for Chinese and French.

Agent 00111 swallowed his pride; there had to be a connection. He had started with the most pragmatic listing approaches only to find that list lengths were directly related to his scientists' Holy Grail of abstraction, the entropy of a language. From that point on, Agent 00111 made the idea of entropy the cornerstone of his textual and other large-volume pricing. His scientists, who, he grudgingly conceded, were not so other-worldly as he had first thought, assured him that entropy was the cornerstone ofinformation theory.

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A Hacker's Revenge


by Steven
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