Give an example of a set A = {1, 2, ..., k} for a smallest k = N containing subsets A₁, A2, A3 such that |A; — Aj| = |A; — A¡| = |i – j| for every two integers i and j with 1 ≤ i ≤j ≤ 3.
Give an example of a set A = {1, 2, ..., k} for a smallest k = N containing subsets A₁, A2, A3 such that |A; — Aj| = |A; — A¡| = |i – j| for every two integers i and j with 1 ≤ i ≤j ≤ 3.
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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Transcribed Image Text:Give an example of a set A = {1, 2, ….., k} for a smallest k = N containing subsets
A₁, A2, A3 such that |A¡ — A ¡| = |A; — A¡| = |i − j| for every two integers i and j
with 1 ≤ i ≤j≤ 3.
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