Find a bijection between [0,1] and [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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This is not a graded question I’m studying for my exam and this are past questions
Please answer questions 8
![Demonstrate whether W is countable set.
Consider the infinite set Yof all infinite strings of binary numbers 0,1, for example
011011100010101...
000001010101001...
Show whether Y is a countable set, and show why.
3. Bonus question. Find a bijection between [0,1] and [0,1) (l.e., from the closed interval to the
half open interval.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3998581a-2a2a-4b7c-8517-697c99ec7fd7%2F19027347-bb6d-47a0-916a-c34f6eb341c5%2Fn060k5o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Demonstrate whether W is countable set.
Consider the infinite set Yof all infinite strings of binary numbers 0,1, for example
011011100010101...
000001010101001...
Show whether Y is a countable set, and show why.
3. Bonus question. Find a bijection between [0,1] and [0,1) (l.e., from the closed interval to the
half open interval.)
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