Answered: a. In (R, d) where d(x,y) = |x – y|…

a. In (R, d) where d(x,y) = |x – y| (Euclidean Metric space) show that: Q (The set of all rational numbers) is dense (Q = R).

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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Question

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B/s
A:YO
524c9b02-db6a...
a. In (R, d) where d(x, y) = |x – y| (Euclidean Metric
space) show that:
Q (The set of all rational numbers) is dense (Q = R).
b. Vx, y € R*,x = (x1,x2, …… , Xr), y = (y1, Y2, , Yk)
Show that:
( αx βy) - αβ(χ -y), να, β ε R

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