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Let X = {a, b, c} Define d: X2[0, 0) by d(a, a) = 0, d(b, b) = 0, d(c, c) = 0, d(a, b) = 1, d(a, c) = 2, d(b, c) = 3, d(b, a) = 2, d(c, a) = 2, and d(c, b) = 3 Is d a metric on X?

Let X = {a, b, c} Define d: X2[0, 0) by d(a, a) = 0, d(b, b) = 0, d(c, c) = 0, d(a, b) = 1, d(a, c) = 2, d(b, c) = 3, d(b, a) = 2, d(c, a) = 2, and d(c, b) = 3 Is d a metric on X?

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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Is d a metric on X?

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Let X = {a, b, c} Define d: X2 →[0, 0) by d(a, a) = 0, d(b, b) = 0, d(c, c) = 0, d(a, b) = 1, d(a, c) = 2, d(b, c) = 3, d(b, a) = 2, d(c, a) = 2, and d(c, b) = 3 Is d a metric on X?
Transcribed Image Text:Let X = {a, b, c} Define d: X2 →[0, 0) by d(a, a) = 0, d(b, b) = 0, d(c, c) = 0, d(a, b) = 1, d(a, c) = 2, d(b, c) = 3, d(b, a) = 2, d(c, a) = 2, and d(c, b) = 3 Is d a metric on X?
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