Let A andB be two sets of. integers. A distance measure 'd is defined as d(A - B) = size(A - B), where - denotes the set difference. Prove that 'd is not a metric.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 68E
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Let A andB be two sets of. integers. A distance
measure 'd is defined as d(A - B) = size(A - B), where
- denotes the set difference. Prove that 'd is not
a metric.
Transcribed Image Text:Let A andB be two sets of. integers. A distance measure 'd is defined as d(A - B) = size(A - B), where - denotes the set difference. Prove that 'd is not a metric.
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