Big-O Big-Theta

Related BrainMass Solutions

• The Big O and big Theta definitions

  424504 Big-O, Big-Theta 1. Using the definition of big-O, show that 2n element of O(6*n^2) 2. Using the definition of big-O, show that 6n^2 not element of O(2n) 3.

• Pick all correct answers

  Big-Theta of g(x) = x^2 b. Big-Omega of g(x) = 1 c. An unimpressive time-cost function for a sorting algorithm d. Big-O of x^5 e.

• Big-O, Big-Omega, Big-Theta

  In the proofs, the definitions of Big-O, Big-Omega, and Big-Theta are recalled and applied.

• Stirling's Approximations and Growth Rate of Functions : Limits, Infimum, Supremum, Asymptotic Upper Bound, Asymptotically Negligible, Asymptotic Lower Bound, Asymptotically Dominant and Asymptotically Tight Bound

  n^n is A=O(B) ? Yes/No is A=o(B) ? Yes/No is A=Big Omega(B) ? Yes/No is A=Small Omega(B) ? Yes/No is A=Theta(b) ? Yes/No. Please see the attached file for the complete solution.

• Solving a recurrence

  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!

• Prove theta Relation : Reflexive, Symmetric and Transitive

  So, choose K=max{k, k'}, A*=AA', we have for n>K So, by the definition of big O. Similarly, we can get . So, We are done. Reflexive, symmetric and transitive relations are investigated.

• Growth Rate of Functions : Limits, Infimum, Supremum, Asymptotic Upper Bound, Asymptotically Negligible, Asymptotic Lower Bound, Asymptotically Dominant and Asymptotically Tight Bound

  43598 Growth Rate of Functions Function A Function B ------------ ----------- n^1/3 6 log(n) is A=O(B) ? Yes/No is A=o(B) ? Yes/No is A=Big Omega(B) ?

• Big-theta: Traditional addition and multiplication logic

  290481 Use big-theta notation to classify the traditional grade school algorithms for addition and multiplication. Use big-theta notation to classify the traditional grade school algorithms for addition and multiplication.

• Simple algorithm using the big theta - notation

  Simple algorithm using the big theta - notation is modeled.