The Big O and big Theta definitions
Not what you're looking for?
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. Show that 6n^2 element of THETA(n^2)
Do not use limits, just the big O and big Theta definitions.
Please show the definitions.
Purchase this Solution
Solution Summary
Big O and big Theta definitions are illustrated.
Solution Preview
Big-O definition: We say f(n) = O(g(n)), if we can find a sufficiently large constant M>0, such that for sufficiently large n, we have f(n) <= M*g(n).
1. Let M = 1. For all n>=1, we have 6n^2 - 2n = n(6n - 2) >= 1*(6*1 - 2) = 4 > 0. Thus 2n <= ...
Purchase this Solution
Free BrainMass Quizzes
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Probability Quiz
Some questions on probability
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.