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ms, 8 grams and so on until 2-1 grams at for any natural number between 1 and bset of W whose total weight in grams at no other set of powers has the same p he mathematical sense of the previous p-

ms, 8 grams and so on until 2-1 grams at for any natural number between 1 and bset of W whose total weight in grams at no other set of powers has the same p he mathematical sense of the previous p-

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. Suppose you have a set W containing n weights, namely 1 gram, 2 grams, 4 grams, 8 grams and so on until 2-1 grams. Prove that for any natural number between 1 and 2n – 1, you can find a subset of W whose total weight in grams is the number chosen. · Prove that no other set of powers has the same property. . Explain the mathematical sense of the previous point.
Transcribed Image Text:4. Suppose you have a set W containing n weights, namely 1 gram, 2 grams, 4 grams, 8 grams and so on until 2-1 grams. Prove that for any natural number between 1 and 2n – 1, you can find a subset of W whose total weight in grams is the number chosen. · Prove that no other set of powers has the same property. . Explain the mathematical sense of the previous point.
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