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2.1 Pairwise Alignment
2.1 Pairwise Alignment

Computing the Greatest Common Divisor of - CECM
Computing the Greatest Common Divisor of - CECM

Range-Efficient Counting of Distinct Elements in a Massive Data
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... A. PAVAN† AND SRIKANTA TIRTHAPURA‡ Abstract. Efficient one-pass estimation of F0 , the number of distinct elements in a data stream, is a fundamental problem arising in various contexts in databases and networking. We consider rangeefficient estimation of F0 : estimation of the number of distinct elemen ...
molarity of the NaOH solution
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... Thus, agents should be designed so that they operate correctly on all possible grids that are consistent with their information [44, 43, 7, 31, 19, 25, 3]. In this paper we study the verification problem for such multiagent systems that have partial information about the environment. Model checking ...
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... set of equations axiomatising the variety of Boolean algebras with operators and additional equations corresponding the axioms of L. A close algorithmic problem for L is the admissibility problem for inference rules: given an inference rule ϕ1 , . . . , ϕn /ϕ, decide whether it is admissible in L, t ...
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Pergamon - University of Colorado Boulder

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Solutions: AMC Prep for ACHS: Counting and Probability

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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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