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Graduate Integer tuples with equal L1 and L2 norms
Sorry. I found a way to generate trivial counterexamples. E.g. x = [16 13 9 4] y = [17 12 8 5] etc.- boy_travels
- Post #2
- Forum: Linear and Abstract Algebra
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Graduate Integer tuples with equal L1 and L2 norms
Let x and y be n-tuples of non-negative integers. Furthermore, sum x_i = sum y_i and, sum x_i^2 = sum y_i^2 Is it true that x must be a permutation of y? Cheers!- boy_travels
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- Integer L2
- Replies: 1
- Forum: Linear and Abstract Algebra