Exercise 1.5. This problem is about the periodic points of F(x)=x22 as in Example 1.6....
90.2K
Verified Solution
Link Copied!
Question
Accounting
Exercise 1.5. This problem is about the periodic points of F(x)=x22 as in Example 1.6. As mentioned there, the number of solutions of Fn(x)=x is P(n)=2n. a. Find the number of periodic points of F(x)=x22 of minimal periods q= 1,2,12. b. Suppose q is a prime number. What is Q(q) ? c. Prove that Q(q)>0 for all q1, that is, F has at least one periodic point of every possible minimal period q. Hint: Clearly Q(d)2d for all d. Use (6) together with the fact that any proper divisor d0 for all q1, that is, F has at least one periodic point of every possible minimal period q. Hint: Clearly Q(d)2d for all d. Use (6) together with the fact that any proper divisor d<><> <><>
Answer & Explanation
Solved by verified expert
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
