Purchase Solution

Using Big O notation

Not what you're looking for?

Ask Custom Question

Use only the definition of O(f(n)) to prove that the following statements are true:

1. (6n^3*log n + 1)/2n +1000 = O(1)
2. nlog n + n^3/2 = O(n^3/2)

Please view the attachment below for the full question.

Attachments
Purchase this Solution
Solution Summary

Using Big O notation is emphasized.

Purchase this Solution
Free BrainMass Quizzes
C++ Operators

This quiz tests a student's knowledge about C++ operators.

C# variables and classes

This quiz contains questions about C# classes and variables.

Java loops

This quiz checks your knowledge of for and while loops in Java. For and while loops are essential building blocks for all Java programs. Having a solid understanding of these constructs is critical for success in programming Java.

Basic Computer Terms

We use many basic terms like bit, pixel in our usual conversations about computers. Are we aware of what these mean? This little quiz is an attempt towards discovering that.

Basic UNIX commands

Use this quiz to check your knowledge of a few common UNIX commands. The quiz covers some of the most essential UNIX commands and their basic usage. If you can pass this quiz then you are clearly on your way to becoming an effective UNIX command line user.

View More Free Quizzes
Related BrainMass Solutions

  • C++ big O notation

    560393 C++ Big O Notation What does "n" represent in relation to big O notation? In other words, what does it mean? Like in O(n). I need a definition of what n is in words.

  • Big O

    65093 Big O notation I) Show that x^3 is O(x^4) but x^4 is not O(x^3) ii)Show that xlnx is O(x^2) but x^2 is not O(xlnx) iii)Show that a^x O(b^x) but b^x is not O(a^x) if 0 < a < b (0 = zero) iv)Show that 1^k + 2^k+...

  • Analying the algorithmic complexity of arithmetic operations

    It then describes and explains the complexity of the algorithms in big-o notation.

  • Analyzing the complexity of addition and multiplication

    285634 Big O notation Use big-O notation to classify the traditional grade school algorithms for addition and multiplication. That is, if asked to add two numbers each having N digits, how many individual additions must be performed?

  • 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!

  • Set-Builder Notation

    So, for example, the two sets in my example can be described as O={x | x is an odd digit} D={x | x is a weekday} The set-builder notation is useful when the set is infinite or just too big to list all its elements.

  • Definition of small O-notation

    8631 Definition of small O-notation See the attach file for problem. Please read R as R+ Question : Prove that ! ( ) n n ∈ο n by using the definition of the small o- notation.

  • Data Structure and Algorithms

    Question 4 Analyze your algorithm in question 3 and give the Big-Oh notation. The Big o notation for both array based and linked list based stack is O(1).

  • Algebra: Interval notation problem

    136002 Algebra: Interval notation problem Write the sets attached using interval notation. If the set is empty, write O Please see the attached files. The following posting helps with a problem that involves interval notation.

View More Related Solutions