Let u e R" be a fixed vector. Let U = uu. Show that maximizing x"U(Ï – x) over all binary vectors x € {0, 1}" is equivalent to partitioning the coordinates of u into two subsets where the sum of the elements in both subsets are as equal as possible. Here 1 represent the all-ones vectors l= [1,1,..., 1]". n coordinates
Let u e R" be a fixed vector. Let U = uu. Show that maximizing x"U(Ï – x) over all binary vectors x € {0, 1}" is equivalent to partitioning the coordinates of u into two subsets where the sum of the elements in both subsets are as equal as possible. Here 1 represent the all-ones vectors l= [1,1,..., 1]". n coordinates
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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![Let u e R" be a fixed vector. Let U = uuT. Show that maximizing x"U(Ï – x) over all
binary vectors x € {0, 1}" is equivalent to partitioning the coordinates of u into two subsets
where the sum of the elements in both subsets are as equal as possible. Here 1 represent the
all-ones vectors ĩ = [1,1, ..., 1]ª:
n coordinates](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5fb4bc67-5d6a-40d6-a872-72e7a1893aba%2F6076c79d-4df4-4806-ba03-1acd399c7355%2Fg0hwyv_processed.png&w=3840&q=75)
Transcribed Image Text:Let u e R" be a fixed vector. Let U = uuT. Show that maximizing x"U(Ï – x) over all
binary vectors x € {0, 1}" is equivalent to partitioning the coordinates of u into two subsets
where the sum of the elements in both subsets are as equal as possible. Here 1 represent the
all-ones vectors ĩ = [1,1, ..., 1]ª:
n coordinates
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