Problem 21. Prove that a real number y is computable if and only if there is a computable function f : Z+ → {0, 1} such that a(f(0)f(1)f(2)...) = y mod 1.
Problem 21. Prove that a real number y is computable if and only if there is a computable function f : Z+ → {0, 1} such that a(f(0)f(1)f(2)...) = y mod 1.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.4: Complex Numbers
Problem 61E
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![Problem 21. Prove that a real number y is computable if and only if there is a computable function
f : Z+ → {0, 1} such that
x(f(0)f(1)f(2)....) = y mod 1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff3d74e65-c868-46a3-85f9-fa60424490e9%2Fa0c58257-fe53-4b77-965f-dc37eebf42e1%2Fu90x10b_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 21. Prove that a real number y is computable if and only if there is a computable function
f : Z+ → {0, 1} such that
x(f(0)f(1)f(2)....) = y mod 1.
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