= 1. Let (X, d) be any metric space. Difine p: X X X → R as p(x, y) d(ry). Then (X, p) is a metric space. 1+d(x,y)*
= 1. Let (X, d) be any metric space. Difine p: X X X → R as p(x, y) d(ry). Then (X, p) is a metric space. 1+d(x,y)*
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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Please solve number 1
Transcribed Image Text:1. Let (X, d) be any metric
space.
Difine
d(y). Then (X, p) is a metric space.
1+d(x,y)*
p: Xx X → R as p(x, y)
=
2. For each of the following, X represents Rx R. Prove that each of
the following distance function is a metric on X. Let x =
(x1, x2), y
(91, 92) and z = (21, 22)
=
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