Find an explicit bijection (i.e. give a formula that explains what f(x) is given any x ∈ [0, 1]) between [0, 1] and [0, 1).
Question
Solution 1
Sure, here is a simple bijection between [0, 1] and [0, 1):
f(x) =
- 1/2 if x = 1
- x otherwise
This function is a bijection because it is both injective and surjective. It is injective because no two different inputs will give the same output. It is surjective because every element in the ra Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv
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