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CS 413, Assignment 1
CS 413, Assignment 1

... 4. The components of a knapsack problem are shown. Give the mathematical expression (equation) showing their relationship, assuming that the vector V is a solution. V = (v1, v2, …, vn), vi an element of {0, 1) S = (a1, a2, …, an), ai an element of {the positive integers) T, a positive integer 5. Her ...
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... 8. A smokestack of a factory casts a 35-meter shadow at the same time as a 10-meter utility pole casts a 6.3meter shadow. What is the height of the smokestack? Write a percent proportion to solve each problem. Then solve. Round to the nearest tenth if necessary. 9. 175 is 19% of what number? Solve e ...
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Positional notation

Positional notation or place-value notation is a method of representing or encoding numbers. Positional notation is distinguished from other notations (such as Roman numerals) for its use of the same symbol for the different orders of magnitude (for example, the ""ones place"", ""tens place"", ""hundreds place""). This greatly simplified arithmetic leading to the rapid spread of the notation across the world.With the use of a radix point (decimal point in base-10), the notation can be extended to include fractions and the numeric expansions of real numbers. The Babylonian numeral system, base-60, was the first positional system developed, and is still used today to count time and angles. The Hindu–Arabic numeral system, base-10, is the most commonly used system in the world today for most calculations.
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