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
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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.)
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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