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Ch2 - Emory Math/CS Department
Ch2 - Emory Math/CS Department

... Problem 2.1.14. What are the smallest and largest possible values of the significand of a normalized SP number? Problem 2.1.15. What are the smallest and largest positive normalized SP numbers? Problem 2.1.16. How many SP numbers are located in each binade? Sketch enough of the positive real number ...
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... by gradually decrementing the weight using a chosen Δ after each iteration [Likhachev et al., 2004]. Another algorithm was proposed to modify the weighted A* technique with selective commitments [Kitamura et al., 1998]. One of the major disadvantages of using the weighted A* based techniques is that ...
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Knapsack problem



The knapsack problem or rucksack problem is a problem in combinatorial optimization: Given a set of items, each with a mass and a value, determine the number of each item to include in a collection so that the total weight is less than or equal to a given limit and the total value is as large as possible. It derives its name from the problem faced by someone who is constrained by a fixed-size knapsack and must fill it with the most valuable items.The problem often arises in resource allocation where there are financial constraints and is studied in fields such as combinatorics, computer science, complexity theory, cryptography and applied mathematics.The knapsack problem has been studied for more than a century, with early works dating as far back as 1897. It is not known how the name ""knapsack problem"" originated, though the problem was referred to as such in the early works of mathematician Tobias Dantzig (1884–1956), suggesting that the name could have existed in folklore before a mathematical problem had been fully defined.
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