Find a 1-1 function f : (0, 1) × (0, 1) → (0, 1). (Hint: use decimal expansions of numbers in (0, 1). Make sure to take care of the non-uniqueness of decimal presentations of real numbers.)
Find a 1-1 function f : (0, 1) × (0, 1) → (0, 1). (Hint: use decimal expansions of numbers in (0, 1). Make sure to take care of the non-uniqueness of decimal presentations of real numbers.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 41E
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Transcribed Image Text:Find a 1-1 function f : (0, 1) × (0, 1) → (0, 1). (Hint: use decimal expansions of numbers in
(0, 1). Make sure to take care of the non-uniqueness of decimal presentations of real numbers.)
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