Construct an explicit bijection between the following sets. Once you've done that, construct injections going in opposite directions as if you were aiming to apply the S-B Theorem. Reflect on how much nicer it is to use S-B. a. (0,1) and [0,1)b. (0,1) and [0,1]Please note that in this assignment, it is not enough to simply give a function and state that it is injective/surjective/bijective. You have to provide a PROOF that the function you're providing has these properties.

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Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Construct an explicit bijection between the following sets. Once you've done that, construct injections going in opposite directions as if you were aiming to apply the S-B Theorem. Reflect on how much nicer it is to use S-B.
a. (0,1) and [0,1)
b. (0,1) and [0,1]

Please note that in this assignment, it is not enough to simply give a function and state that it is injective/surjective/bijective. You have to provide a PROOF that the function you're providing has these properties.

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