Show that R| = [R| by doing the following. Use an injection to show that |(0, 1)| < |(0,1) × (0, 1)|.
Show that R| = [R| by doing the following. Use an injection to show that |(0, 1)| < |(0,1) × (0, 1)|.
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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Show that |R²| = |R| by doing the following.
Use an injection to show that |(0,1)|≤|(0,1)×(0,1)| .
Transcribed Image Text:Show that R| = [R| by doing the following.
Use an injection to show that |(0, 1)| < |(0,1) × (0, 1)|.
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