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Show that the following map on R", d2(x,y) = E-1 |Xi-yil ;), x,y ER". =1\2i 1+|xi-Yil Is a metric space

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 12T

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Question

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show that the following map in Rn is a metric space.

please check the attached picture to see the details of the problem.

Thanks in advance

|Xi-Yil
Show that the following map on IR", d2(x,y) = E-10
G * ), x,y EIR".
1+|xi-Yil'
i=1
Is a metric space

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