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Greek Age, Worksheet 1 Early Greek Mathematics, including early

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... one with the white faces opposite, and one with the red faces opposite. There are no cubes with exactly two pairs of opposite faces of the same color. There is just one cube where all three pairs of opposite faces are the same color. Finally, there are two cubes where no pair of opposite faces are t ...
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æ 1. Simplify 1 + 1 + 1 . 2. A quart of liquid contains 10% alcohol
æ 1. Simplify 1 + 1 + 1 . 2. A quart of liquid contains 10% alcohol

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Weber problem



In geometry, the Weber problem, named after Alfred Weber, is one of the most famous problems in location theory. It requires finding a point in the plane that minimizes the sum of the transportation costs from this point to n destination points, where different destination points are associated with different costs per unit distance.The Weber problem generalizes the geometric median, which assumes transportation costs per unit distance are the same for all destination points, and the problem of computing the Fermat point, the geometric median of three points. For this reason it is sometimes called the Fermat–Weber problem, although the same name has also been used for the unweighted geometric median problem. The Weber problem is in turn generalized by the attraction–repulsion problem, which allows some of the costs to be negative, so that greater distance from some points is better.
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