Mathematics Homework Solutions
Problem
#49037

Solving recurrence exactly

Solve the following recurrence exactly for n  of the form 2^2^k.

T(2) = 1
T(n) = 2T(n^(1/2)) + log n

Express your answer as simply as possible using theta notation.
note added ** theta notation is based on big O notation

Show all work!


Solution Summary

This shows how to solve a recurrence using theta notation.

Solution
What is this?
By OTA - Overall OTA Rating
Yupei Xiong, PhD - 4.8/5
Purchase Cost Now
$2.19 CAD (was ~$7.98)
Included in Download
  • Plain text response
$2.19 Instant Download
Add to Cart
Why you can trust BrainMass.com
  • Your Information is Secure
  • Best Online Academic Help Service
  • Students find real academic Success
Related Solutions
  • Recurrence Relations - Solve the recurrence relation a(n)=3a(n-1)+10a(n-2) with the initial conditions a(0)=0 and a(1)=2. Solve the recurrence relation a(n)=3a(n-1)+10a(n-2) +12 with the initial conditions a(0)=0 and a(1 ...
  • Big-O Big-Theta - Given the algorithm below, suppose the number of times the "beep" instruction is executed is f(n). Choose all true statements below, and no false ones... for i := 1 to n for j : = 1 to i ...
  • Prove theta Relation : Reflexive, Symmetric and Transitive - Prove that theta is a reflexive, symmetric, and transitive relation; that is for all f, g, h: N to N, a. f belongs to theta f; b. f belongs to theta g then g belongs to theta f; c. f belongs ...
  • Time complexity of an algorithm in theta notation - How much time does the following algorithm require as a function of n? Express your answer in "theta notation" in the simplest possible form. Show all work! l = 0 for i = 1 to n for j = 1 t ...
  • Recurrence relation problem. Backwards substitution. - I need to know how to solve this problem: Solve the following recurrence relation: x(n) = 3x(n-1) for n > 1, x(1) = 4. It requires backwards substitution to solve.
Browse