Let X = (0,00). -> a) Show that X is not complete with the standard metric d: X2 → [0, 0o) defined by d (x, y) = |x - yl b) Use #1 to find a metric p on X so that X is complete with respect to p.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let X = (0,00).
a) Show that X is not complete with the standard metric d: X2 → [0, ∞o) defined by d (x, y) = |x − y\.
b) Use #1 to find a metric p on X so that X is complete with respect to p.
Transcribed Image Text:Let X = (0,00). a) Show that X is not complete with the standard metric d: X2 → [0, ∞o) defined by d (x, y) = |x − y\. b) Use #1 to find a metric p on X so that X is complete with respect to p.
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